TSTP Solution File: GRP371-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP371-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:22 EDT 2024
% Result : Unsatisfiable 91.32s 13.21s
% Output : CNFRefutation 91.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_98,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X3) != sk_c11
| multiply(X4,X3) != X5
| multiply(X1,sk_c10) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != X5
| inverse(X5) != X3
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X3) != sk_c11
| inverse(X4) != sk_c10
| inverse(sk_c11) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_564,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_103]) ).
cnf(c_565,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_103]) ).
cnf(c_566,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_103]) ).
cnf(c_567,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_103]) ).
cnf(c_568,negated_conjecture,
( multiply(sk_c9,sk_c10) != sk_c11
| inverse(sk_c11) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_569,plain,
multiply(sk_c9,sk_c10) = sP4_iProver_def,
definition ).
cnf(c_570,plain,
inverse(sk_c11) = sP5_iProver_def,
definition ).
cnf(c_571,plain,
multiply(sk_c7,sk_c8) = sP6_iProver_def,
definition ).
cnf(c_572,plain,
inverse(sk_c6) = sP7_iProver_def,
definition ).
cnf(c_573,plain,
inverse(sk_c7) = sP8_iProver_def,
definition ).
cnf(c_574,plain,
multiply(sk_c8,sk_c10) = sP9_iProver_def,
definition ).
cnf(c_575,plain,
inverse(sk_c5) = sP10_iProver_def,
definition ).
cnf(c_576,plain,
multiply(sk_c5,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_577,plain,
inverse(sk_c4) = sP12_iProver_def,
definition ).
cnf(c_578,plain,
multiply(sk_c4,sk_c10) = sP13_iProver_def,
definition ).
cnf(c_579,plain,
inverse(sk_c3) = sP14_iProver_def,
definition ).
cnf(c_580,plain,
multiply(sk_c3,sk_c11) = sP15_iProver_def,
definition ).
cnf(c_581,plain,
multiply(sk_c2,sk_c10) = sP16_iProver_def,
definition ).
cnf(c_582,plain,
inverse(sk_c1) = sP17_iProver_def,
definition ).
cnf(c_583,plain,
multiply(sk_c1,sk_c2) = sP18_iProver_def,
definition ).
cnf(c_584,negated_conjecture,
( sP4_iProver_def != sk_c11
| sP5_iProver_def != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_568,c_570,c_569]) ).
cnf(c_585,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_567]) ).
cnf(c_586,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_566]) ).
cnf(c_587,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_565]) ).
cnf(c_588,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_564]) ).
cnf(c_589,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_98,c_571]) ).
cnf(c_591,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_96,c_573]) ).
cnf(c_592,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP9_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_95,c_574]) ).
cnf(c_593,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_94,c_575]) ).
cnf(c_594,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP11_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_93,c_576]) ).
cnf(c_595,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP12_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_92,c_577]) ).
cnf(c_596,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_91,c_578]) ).
cnf(c_597,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_90,c_579]) ).
cnf(c_598,negated_conjecture,
( sP4_iProver_def = sk_c11
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_89,c_580]) ).
cnf(c_599,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_88,c_581]) ).
cnf(c_601,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_86]) ).
cnf(c_603,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_84]) ).
cnf(c_604,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_83]) ).
cnf(c_605,negated_conjecture,
( sP12_iProver_def = sk_c10
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_606,negated_conjecture,
( sP13_iProver_def = sk_c9
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_607,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_608,negated_conjecture,
( sP15_iProver_def = sk_c10
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_612,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_613,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_614,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_615,negated_conjecture,
( sP12_iProver_def = sk_c10
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_616,negated_conjecture,
( sP13_iProver_def = sk_c9
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_617,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_618,negated_conjecture,
( sP15_iProver_def = sk_c10
| sP17_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_619,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_68,c_583]) ).
cnf(c_621,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_623,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_624,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_625,negated_conjecture,
( sP12_iProver_def = sk_c10
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_626,negated_conjecture,
( sP13_iProver_def = sk_c9
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_627,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_628,negated_conjecture,
( sP15_iProver_def = sk_c10
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_629,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_634,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP11_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_635,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP12_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_636,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_637,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_638,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_639,plain,
X0 = X0,
theory(equality) ).
cnf(c_640,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_641,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_642,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_643,plain,
( sk_c11 != sk_c11
| inverse(sk_c11) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_645,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_974,plain,
( sk_c11 = sP4_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_592,c_594]) ).
cnf(c_986,plain,
( multiply(sP13_iProver_def,sk_c10) = sP4_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_596,c_569]) ).
cnf(c_1011,plain,
( sk_c11 = sP4_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_597,c_594]) ).
cnf(c_1025,plain,
( sk_c11 = sP4_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_598,c_595]) ).
cnf(c_1148,plain,
( multiply(sk_c5,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_603,c_576]) ).
cnf(c_1150,plain,
( multiply(sk_c5,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_593,c_576]) ).
cnf(c_1160,plain,
( multiply(sk_c4,sP15_iProver_def) = sP13_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_598,c_578]) ).
cnf(c_1161,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_595,c_578]) ).
cnf(c_1168,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_597,c_580]) ).
cnf(c_1187,plain,
multiply(sP5_iProver_def,sk_c11) = identity,
inference(superposition,[status(thm)],[c_570,c_101]) ).
cnf(c_1188,plain,
multiply(sP14_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_579,c_101]) ).
cnf(c_1189,plain,
multiply(sP12_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_577,c_101]) ).
cnf(c_1190,plain,
multiply(sP10_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_575,c_101]) ).
cnf(c_1193,plain,
multiply(sP17_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_582,c_101]) ).
cnf(c_1209,plain,
( sk_c11 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1216,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_605,c_578]) ).
cnf(c_1231,plain,
( sk_c11 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_1209]) ).
cnf(c_1232,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_1233,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1234,plain,
( sk_c10 != X0
| sP5_iProver_def != X0
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1244,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1273,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1274,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_1279,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_1280,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1282,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1285,plain,
( sk_c10 != sk_c10
| sP15_iProver_def != sk_c10
| sk_c10 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_1287,plain,
( sk_c10 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_1296,plain,
( sk_c11 = sP16_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_608,c_605]) ).
cnf(c_1352,plain,
( sk_c10 != sP12_iProver_def
| sP5_iProver_def != sP12_iProver_def
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1353,plain,
( X0 != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1354,plain,
( sk_c11 != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_1355,plain,
( sk_c10 != sP15_iProver_def
| sP5_iProver_def != sP15_iProver_def
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1377,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_612,c_583]) ).
cnf(c_1384,plain,
( X0 != sP4_iProver_def
| sk_c10 != sP4_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1385,plain,
( sk_c11 != sP4_iProver_def
| sk_c10 != sP4_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1384]) ).
cnf(c_1394,plain,
( multiply(sk_c5,sP10_iProver_def) = sP11_iProver_def
| sk_c2 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_613,c_576]) ).
cnf(c_1408,plain,
( sk_c10 != multiply(identity,sk_c10)
| sP5_iProver_def != multiply(identity,sk_c10)
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1409,plain,
( X0 != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1415,plain,
( X0 != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1416,plain,
( sk_c11 != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1415]) ).
cnf(c_1417,plain,
( X0 != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1419,plain,
( X0 != sP15_iProver_def
| sk_c10 != sP15_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1421,plain,
( X0 != sP4_iProver_def
| sk_c10 != sP4_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1422,plain,
( sk_c11 != sP4_iProver_def
| sk_c10 != sP4_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1421]) ).
cnf(c_1427,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_614,c_583]) ).
cnf(c_1437,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_615,c_583]) ).
cnf(c_1454,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_617,c_583]) ).
cnf(c_1460,plain,
( sk_c10 != sk_c10
| sP5_iProver_def != sk_c10
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_1461,plain,
( inverse(X0) != X1
| sk_c11 != X1
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1466,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_618,c_583]) ).
cnf(c_1476,plain,
multiply(identity,sP12_iProver_def) = sP12_iProver_def,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1478,plain,
( X0 != X1
| sP12_iProver_def != X1
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1480,plain,
( inverse(sk_c4) != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_1482,plain,
( sP4_iProver_def != X0
| sP12_iProver_def != X0
| sP4_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_1551,plain,
( sk_c10 != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1417]) ).
cnf(c_1552,plain,
sP12_iProver_def = sP12_iProver_def,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_1554,plain,
( inverse(sk_c4) != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1417]) ).
cnf(c_1608,plain,
( sk_c10 != sP12_iProver_def
| sP4_iProver_def != sP12_iProver_def
| sP4_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1287]) ).
cnf(c_1610,plain,
multiply(identity,multiply(identity,sk_c10)) = multiply(identity,sk_c10),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1612,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| X1 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1615,plain,
( X0 != identity
| X1 != sk_c10
| multiply(X0,X1) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_1617,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| multiply(sk_c11,sk_c11) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1615]) ).
cnf(c_1619,plain,
( multiply(identity,sk_c10) != X0
| sP4_iProver_def != X0
| sP4_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_1632,plain,
( multiply(sk_c5,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_623,c_576]) ).
cnf(c_1697,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1698,plain,
( inverse(X0) != inverse(X1)
| sk_c11 != inverse(X1)
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1461]) ).
cnf(c_1699,plain,
( inverse(sk_c11) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| inverse(sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1461]) ).
cnf(c_1714,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_625,c_578]) ).
cnf(c_1779,plain,
( sk_c10 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1780,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1781,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1782,plain,
( sk_c11 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1781]) ).
cnf(c_1783,plain,
( sk_c11 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1780]) ).
cnf(c_1791,plain,
( sk_c11 = sP18_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_628,c_625]) ).
cnf(c_1846,plain,
( multiply(identity,multiply(identity,sk_c10)) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(identity,multiply(identity,sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1415]) ).
cnf(c_1879,plain,
( X0 != X1
| sP12_iProver_def != X1
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1884,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| multiply(identity,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_1885,plain,
( multiply(identity,sk_c10) != multiply(X0,X1)
| sP4_iProver_def != multiply(X0,X1)
| sP4_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1619]) ).
cnf(c_1932,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_1933,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1932]) ).
cnf(c_1962,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1966,plain,
( X0 != sk_c10
| identity != identity
| multiply(identity,X0) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1615]) ).
cnf(c_1967,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_1969,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2046,plain,
( sk_c11 != X0
| sP5_iProver_def != X0
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2109,plain,
( inverse(X0) != X1
| sk_c11 != X1
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2116,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_2121,plain,
( inverse(sk_c4) != sP12_iProver_def
| X0 != sP12_iProver_def
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_2139,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_635,c_578]) ).
cnf(c_2170,plain,
( multiply(sP13_iProver_def,sk_c10) = sP4_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_636,c_569]) ).
cnf(c_2178,plain,
( X0 != X1
| sP5_iProver_def != X1
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2181,plain,
( sP4_iProver_def != X0
| sP5_iProver_def != X0
| sP4_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_2201,plain,
( multiply(sk_c4,sP5_iProver_def) = sP13_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_637,c_578]) ).
cnf(c_2242,plain,
( multiply(identity,multiply(identity,sk_c10)) != X0
| X1 != X0
| X1 = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2245,plain,
( X0 != identity
| X1 != multiply(identity,sk_c10)
| multiply(X0,X1) = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_2247,plain,
( sk_c11 != multiply(identity,sk_c10)
| sk_c11 != identity
| multiply(sk_c11,sk_c11) = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_2245]) ).
cnf(c_2264,plain,
( sk_c10 = sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_638,c_635]) ).
cnf(c_2270,plain,
( multiply(sk_c4,sP15_iProver_def) = sP13_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_638,c_578]) ).
cnf(c_2428,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2441,plain,
( inverse(sk_c11) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1780]) ).
cnf(c_2447,plain,
( X0 != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1879]) ).
cnf(c_2461,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_578,c_587]) ).
cnf(c_2490,plain,
( sk_c10 != sP12_iProver_def
| sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2461,c_577]) ).
cnf(c_2560,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1884]) ).
cnf(c_2563,plain,
( multiply(X0,X1) != X2
| sP4_iProver_def != X2
| sP4_iProver_def = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_2662,plain,
( multiply(identity,sk_c10) != sk_c10
| sP5_iProver_def != sk_c10
| sP5_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1932]) ).
cnf(c_2731,plain,
multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_580,c_102]) ).
cnf(c_2740,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_2742,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1187,c_102]) ).
cnf(c_2743,plain,
multiply(sP14_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1188,c_102]) ).
cnf(c_2744,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1189,c_102]) ).
cnf(c_2745,plain,
multiply(sP10_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1190,c_102]) ).
cnf(c_2748,plain,
multiply(sP17_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1193,c_102]) ).
cnf(c_2751,plain,
multiply(sP17_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2748,c_100]) ).
cnf(c_2754,plain,
multiply(sP10_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2745,c_100]) ).
cnf(c_2755,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2744,c_100]) ).
cnf(c_2756,plain,
multiply(sP14_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2743,c_100]) ).
cnf(c_2757,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2742,c_100]) ).
cnf(c_2787,plain,
( X0 != sk_c10
| sP12_iProver_def != sk_c10
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1478]) ).
cnf(c_2788,plain,
( sk_c11 != sk_c10
| sP12_iProver_def != sk_c10
| sk_c11 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_2787]) ).
cnf(c_2913,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_2953,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_974,c_627]) ).
cnf(c_2956,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP16_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_974,c_607]) ).
cnf(c_3015,plain,
multiply(identity,sP15_iProver_def) = sP15_iProver_def,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_3017,plain,
( X0 != X1
| sP15_iProver_def != X1
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_3036,plain,
( sk_c10 != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_3037,plain,
sP15_iProver_def = sP15_iProver_def,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_3057,plain,
( sk_c11 = sP11_iProver_def
| sP4_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1011,c_624]) ).
cnf(c_3065,plain,
( inverse(sP4_iProver_def) = sP5_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1011,c_570]) ).
cnf(c_3143,plain,
( X0 != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_3221,plain,
( inverse(sk_c4) != sk_c10
| X0 != sk_c10
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_3254,plain,
( sk_c10 != sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1025,c_584]) ).
cnf(c_3487,plain,
( inverse(sk_c3) != sk_c11
| sk_c10 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_580,c_588]) ).
cnf(c_3491,plain,
( inverse(sP5_iProver_def) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_1187,c_588]) ).
cnf(c_3515,plain,
( sk_c11 != sP14_iProver_def
| sk_c10 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3487,c_579]) ).
cnf(c_3627,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_586]) ).
cnf(c_3752,plain,
( inverse(sk_c11) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_2109]) ).
cnf(c_3757,plain,
( inverse(sk_c3) != sP14_iProver_def
| sk_c11 != sP14_iProver_def
| sk_c11 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_2109]) ).
cnf(c_3786,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(identity,inverse(X0)) != inverse(identity)
| inverse(inverse(X0)) != inverse(X0)
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_100,c_585]) ).
cnf(c_3860,plain,
( multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(sk_c11,inverse(sk_c11)) != sk_c11
| multiply(identity,inverse(sk_c11)) != inverse(identity)
| inverse(inverse(sk_c11)) != inverse(sk_c11)
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_3786]) ).
cnf(c_3890,plain,
( sP4_iProver_def = sP16_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1296,c_1025]) ).
cnf(c_4203,plain,
( sk_c11 != sk_c10
| sP5_iProver_def != sk_c10
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2046]) ).
cnf(c_4228,plain,
( multiply(sP13_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_598,c_986]) ).
cnf(c_4229,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP4_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_595,c_986]) ).
cnf(c_4374,plain,
( sk_c11 != X0
| sP14_iProver_def != X0
| sk_c11 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_4375,plain,
( sk_c11 != sk_c11
| sP14_iProver_def != sk_c11
| sk_c11 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_4374]) ).
cnf(c_4505,plain,
( sP4_iProver_def != sk_c10
| sP5_iProver_def != sk_c10
| sP4_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2181]) ).
cnf(c_4506,plain,
( sP4_iProver_def != multiply(identity,sk_c10)
| sP5_iProver_def != multiply(identity,sk_c10)
| sP4_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2181]) ).
cnf(c_4666,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_4668,plain,
( inverse(X0) != inverse(X1)
| sP4_iProver_def != inverse(X1)
| inverse(X0) = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_2116]) ).
cnf(c_4669,plain,
( inverse(X0) != X1
| sP4_iProver_def != X1
| sP4_iProver_def = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_4670,plain,
( inverse(sk_c11) != inverse(sk_c11)
| sP4_iProver_def != inverse(sk_c11)
| inverse(sk_c11) = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_4668]) ).
cnf(c_4682,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_4729,plain,
( sP4_iProver_def = sP18_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1791,c_1025]) ).
cnf(c_4742,plain,
( inverse(sP18_iProver_def) = sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1791,c_570]) ).
cnf(c_4921,plain,
( sk_c10 != inverse(sk_c11)
| sP5_iProver_def != inverse(sk_c11)
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_4927,plain,
( inverse(X0) != inverse(sk_c11)
| sk_c10 != inverse(sk_c11)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_2116]) ).
cnf(c_4928,plain,
( inverse(sk_c11) != inverse(sk_c11)
| sk_c10 != inverse(sk_c11)
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_4927]) ).
cnf(c_5163,plain,
( inverse(sk_c4) != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_2447]) ).
cnf(c_5166,plain,
( multiply(identity,sP12_iProver_def) != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = multiply(identity,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_2447]) ).
cnf(c_5223,plain,
( X0 != sk_c10
| sP5_iProver_def != sk_c10
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2178]) ).
cnf(c_5224,plain,
( X0 != multiply(identity,sk_c10)
| sP5_iProver_def != multiply(identity,sk_c10)
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2178]) ).
cnf(c_5269,plain,
( multiply(identity,multiply(identity,sk_c10)) != sk_c10
| X0 != sk_c10
| X0 = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_2242]) ).
cnf(c_5382,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2428]) ).
cnf(c_5434,plain,
( inverse(sk_c11) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_2109]) ).
cnf(c_5435,plain,
( inverse(sk_c11) != sk_c10
| X0 != sk_c10
| inverse(sk_c11) = X0 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_5436,plain,
( inverse(sk_c11) != sk_c10
| sk_c11 != sk_c10
| inverse(sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1461]) ).
cnf(c_5437,plain,
( inverse(sk_c11) != sk_c10
| identity != identity
| multiply(identity,inverse(sk_c11)) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1966]) ).
cnf(c_5440,plain,
( inverse(sk_c11) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_5477,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_578,c_2755]) ).
cnf(c_5649,plain,
( multiply(identity,sk_c10) != sk_c10
| sP5_iProver_def != sk_c10
| multiply(identity,sk_c10) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2560]) ).
cnf(c_5700,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_580,c_2756]) ).
cnf(c_5920,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1884]) ).
cnf(c_5921,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| X0 != sP5_iProver_def
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_5923,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_5921]) ).
cnf(c_6029,plain,
( multiply(identity,sk_c10) != sk_c10
| sP12_iProver_def != sk_c10
| multiply(identity,sk_c10) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_2560]) ).
cnf(c_6084,plain,
( multiply(identity,sk_c10) != sk_c10
| sP15_iProver_def != sk_c10
| multiply(identity,sk_c10) = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_2560]) ).
cnf(c_6272,plain,
( sk_c10 != multiply(identity,sk_c10)
| sP12_iProver_def != multiply(identity,sk_c10)
| sk_c10 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1409]) ).
cnf(c_6374,plain,
( sk_c10 != multiply(identity,sk_c10)
| sP15_iProver_def != multiply(identity,sk_c10)
| sk_c10 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_1409]) ).
cnf(c_6467,plain,
( multiply(identity,multiply(identity,sk_c10)) != sk_c10
| sP12_iProver_def != sk_c10
| multiply(identity,multiply(identity,sk_c10)) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_2787]) ).
cnf(c_6690,plain,
( multiply(sk_c5,multiply(sP10_iProver_def,X0)) = multiply(sP11_iProver_def,X0)
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1150,c_102]) ).
cnf(c_6941,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1160,c_2755]) ).
cnf(c_6942,plain,
( sk_c11 = sP4_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6941,c_5477]) ).
cnf(c_6952,plain,
( multiply(sk_c4,multiply(sP12_iProver_def,X0)) = multiply(sP13_iProver_def,X0)
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1161,c_102]) ).
cnf(c_7013,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1168,c_2756]) ).
cnf(c_7014,plain,
( sk_c11 = sP4_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7013,c_5700]) ).
cnf(c_7576,plain,
( X0 != multiply(identity,sP15_iProver_def)
| sk_c10 != multiply(identity,sP15_iProver_def)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_7577,plain,
( sk_c11 != multiply(identity,sP15_iProver_def)
| sk_c10 != multiply(identity,sP15_iProver_def)
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_7576]) ).
cnf(c_7811,plain,
( X0 != multiply(sk_c3,sk_c11)
| sk_c10 != multiply(sk_c3,sk_c11)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_8312,plain,
( inverse(X0) != inverse(sk_c3)
| sk_c11 != inverse(sk_c3)
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1698]) ).
cnf(c_8313,plain,
( inverse(sk_c11) != inverse(sk_c3)
| sk_c11 != inverse(sk_c3)
| inverse(sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_8312]) ).
cnf(c_8503,plain,
( inverse(X0) != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_3143]) ).
cnf(c_8504,plain,
( X0 != sk_c4
| inverse(X0) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_8505,plain,
( inverse(sk_c11) != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c10 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_8503]) ).
cnf(c_8506,plain,
( sk_c11 != sk_c4
| inverse(sk_c11) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_8504]) ).
cnf(c_9371,plain,
( X0 != sk_c10
| sP15_iProver_def != sk_c10
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_3017]) ).
cnf(c_9372,plain,
( sk_c11 != sk_c10
| sP15_iProver_def != sk_c10
| sk_c11 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_9371]) ).
cnf(c_9594,plain,
( inverse(sk_c11) != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sP4_iProver_def = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_4669]) ).
cnf(c_10320,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP12_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2139,c_2755]) ).
cnf(c_10321,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10320,c_5477]) ).
cnf(c_10596,plain,
( multiply(sP13_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_638,c_2170]) ).
cnf(c_10646,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2201,c_2755]) ).
cnf(c_10647,plain,
( sk_c11 = sP14_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10646,c_5477]) ).
cnf(c_10719,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2270,c_2755]) ).
cnf(c_10720,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10719,c_5477]) ).
cnf(c_11734,plain,
( sP4_iProver_def != X0
| sP16_iProver_def != X0
| sP4_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_11735,plain,
( sP4_iProver_def != sk_c11
| sP16_iProver_def != sk_c11
| sP4_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_11734]) ).
cnf(c_11737,plain,
( sP4_iProver_def != X0
| sP18_iProver_def != X0
| sP4_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_1233]) ).
cnf(c_11738,plain,
( sP4_iProver_def != sk_c11
| sP18_iProver_def != sk_c11
| sP4_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_11737]) ).
cnf(c_11748,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2913]) ).
cnf(c_11749,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_11846,plain,
( sP5_iProver_def != sk_c10
| sP12_iProver_def != sk_c10
| sP5_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_2787]) ).
cnf(c_12936,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2740,c_100]) ).
cnf(c_12986,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_12936]) ).
cnf(c_12987,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_12936]) ).
cnf(c_12988,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_12936]) ).
cnf(c_13069,plain,
multiply(inverse(sP14_iProver_def),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1188,c_12936]) ).
cnf(c_13168,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_2757,c_12936]) ).
cnf(c_13169,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2756,c_12936]) ).
cnf(c_13170,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2755,c_12936]) ).
cnf(c_13171,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2754,c_12936]) ).
cnf(c_13174,plain,
multiply(inverse(sP17_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2751,c_12936]) ).
cnf(c_13216,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12936,c_12936]) ).
cnf(c_13734,plain,
( inverse(X0) != sk_c10
| inverse(sk_c4) != sk_c10
| inverse(sk_c4) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_3221]) ).
cnf(c_13745,plain,
( inverse(sk_c11) != sk_c10
| inverse(sk_c4) != sk_c10
| inverse(sk_c4) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_13734]) ).
cnf(c_14213,plain,
( multiply(identity,inverse(identity)) != sk_c11
| sk_c11 != sk_c10
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_12986,c_586]) ).
cnf(c_14554,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12987,c_13216]) ).
cnf(c_14593,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14554,c_12986]) ).
cnf(c_14659,plain,
( sk_c9 != sP13_iProver_def
| sP5_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_2264,c_2490]) ).
cnf(c_14672,plain,
( sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_595,c_2490]) ).
cnf(c_14792,plain,
( ~ sP1_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_596,c_14672]) ).
cnf(c_14821,plain,
( sP4_iProver_def = sP18_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2953,c_645,c_627,c_1231,c_1232,c_4375,c_7014,c_11738]) ).
cnf(c_14822,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(renaming,[status(thm)],[c_14821]) ).
cnf(c_14888,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_14822,c_580]) ).
cnf(c_15180,plain,
( sP4_iProver_def = sP16_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2956,c_645,c_607,c_1231,c_1232,c_4375,c_7014,c_11735]) ).
cnf(c_15181,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(renaming,[status(thm)],[c_15180]) ).
cnf(c_15249,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_15181,c_580]) ).
cnf(c_15696,plain,
( sP4_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3057,c_14822]) ).
cnf(c_16672,plain,
multiply(sk_c11,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13168,c_101]) ).
cnf(c_16677,plain,
multiply(sk_c11,multiply(sP5_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_13168,c_12936]) ).
cnf(c_16678,plain,
multiply(sk_c11,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_13168,c_14554]) ).
cnf(c_16738,plain,
( multiply(sP18_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_627,c_16672]) ).
cnf(c_16744,plain,
( multiply(sP14_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_597,c_16672]) ).
cnf(c_16745,plain,
( multiply(sP11_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_594,c_16672]) ).
cnf(c_16749,plain,
multiply(sk_c3,identity) = multiply(sP15_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_16672,c_2731]) ).
cnf(c_17154,plain,
( multiply(identity,identity) != identity
| identity != identity
| identity = multiply(identity,identity) ),
inference(instantiation,[status(thm)],[c_5382]) ).
cnf(c_17179,plain,
( multiply(identity,inverse(sk_c11)) != multiply(identity,sk_c10)
| sP5_iProver_def != multiply(identity,sk_c10)
| multiply(identity,inverse(sk_c11)) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5224]) ).
cnf(c_17208,plain,
( multiply(inverse(sP14_iProver_def),identity) = sP5_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_16744,c_12936]) ).
cnf(c_17210,plain,
( sk_c11 = sP4_iProver_def
| sk_c3 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17208,c_13069]) ).
cnf(c_17275,plain,
inverse(sP5_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_16678,c_14554]) ).
cnf(c_17280,plain,
( inverse(multiply(X0,sk_c11)) != sk_c11
| multiply(X0,inverse(sP5_iProver_def)) != inverse(X0)
| multiply(inverse(sP5_iProver_def),sk_c10) != sk_c11
| multiply(sP5_iProver_def,inverse(sP5_iProver_def)) != sk_c11
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_17275,c_585]) ).
cnf(c_17281,plain,
( inverse(multiply(X0,sk_c11)) != sk_c11
| multiply(X0,sk_c11) != inverse(X0)
| multiply(sk_c11,sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17280,c_1187,c_17275]) ).
cnf(c_17287,plain,
( inverse(multiply(sk_c11,sk_c11)) != sk_c11
| multiply(sk_c11,sk_c11) != inverse(sk_c11)
| multiply(sk_c11,sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_17281]) ).
cnf(c_17545,plain,
multiply(sP15_iProver_def,sP5_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_16749,c_14554]) ).
cnf(c_17546,plain,
multiply(inverse(sP15_iProver_def),sk_c3) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_17545,c_12936]) ).
cnf(c_17551,plain,
multiply(inverse(sP15_iProver_def),multiply(sk_c3,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_17546,c_102]) ).
cnf(c_18002,plain,
( multiply(sP5_iProver_def,sk_c11) = sP15_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_17210,c_580]) ).
cnf(c_18005,plain,
( sk_c11 = sP4_iProver_def
| identity = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18002,c_1187]) ).
cnf(c_18207,plain,
multiply(sk_c3,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13169,c_101]) ).
cnf(c_18213,plain,
multiply(sk_c3,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_13169,c_14554]) ).
cnf(c_18237,plain,
( identity = sP15_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_15249,c_18207]) ).
cnf(c_18238,plain,
( identity = sP15_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_14888,c_18207]) ).
cnf(c_18293,plain,
multiply(inverse(sP15_iProver_def),identity) = multiply(sP5_iProver_def,sP14_iProver_def),
inference(superposition,[status(thm)],[c_18207,c_17551]) ).
cnf(c_18301,plain,
( inverse(sP15_iProver_def) = sP15_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_18237,c_14593]) ).
cnf(c_18303,plain,
( multiply(sP15_iProver_def,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_18237,c_100]) ).
cnf(c_18391,plain,
( inverse(sP15_iProver_def) = sP15_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_18238,c_14593]) ).
cnf(c_18417,plain,
inverse(sP14_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_18213,c_14554]) ).
cnf(c_18818,plain,
multiply(sk_c4,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13170,c_101]) ).
cnf(c_18823,plain,
multiply(sk_c4,multiply(sP12_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_13170,c_12936]) ).
cnf(c_18824,plain,
multiply(sk_c4,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_13170,c_14554]) ).
cnf(c_18841,plain,
( sk_c10 = sP5_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_2139,c_18818]) ).
cnf(c_18842,plain,
( sk_c11 = sP18_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1714,c_18818]) ).
cnf(c_18843,plain,
( sk_c11 = sP16_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1216,c_18818]) ).
cnf(c_18844,plain,
( sk_c11 = sP4_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1161,c_18818]) ).
cnf(c_18868,plain,
( inverse(sk_c11) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_1409]) ).
cnf(c_18876,plain,
inverse(sP12_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_18824,c_14554]) ).
cnf(c_19165,plain,
( sk_c10 != sP5_iProver_def
| sP4_iProver_def != sP18_iProver_def
| identity = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18842,c_584]) ).
cnf(c_19172,plain,
( inverse(sP18_iProver_def) = sP5_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_18842,c_570]) ).
cnf(c_19530,plain,
( identity = sP13_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_18844,c_18843]) ).
cnf(c_19531,plain,
( identity = sP13_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_18844,c_18842]) ).
cnf(c_19558,plain,
( sk_c10 != sP5_iProver_def
| identity = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18844,c_584]) ).
cnf(c_19775,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_19530,c_100]) ).
cnf(c_19801,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_19531,c_100]) ).
cnf(c_20206,plain,
multiply(sk_c5,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13171,c_101]) ).
cnf(c_20211,plain,
multiply(sk_c5,multiply(sP10_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_13171,c_12936]) ).
cnf(c_20228,plain,
( sk_c11 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1632,c_20206]) ).
cnf(c_20229,plain,
( sk_c2 = sP17_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1394,c_20206]) ).
cnf(c_20230,plain,
( sk_c11 = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1150,c_20206]) ).
cnf(c_20231,plain,
( sk_c11 = sP16_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1148,c_20206]) ).
cnf(c_20489,plain,
( inverse(sP18_iProver_def) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_20228,c_570]) ).
cnf(c_20560,plain,
( sk_c10 != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP12_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_20562,plain,
( sP4_iProver_def != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_20563,plain,
( X0 != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1879]) ).
cnf(c_20564,plain,
( X0 != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1478]) ).
cnf(c_20703,plain,
( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_20229,c_583]) ).
cnf(c_20736,plain,
( multiply(identity,multiply(identity,sk_c10)) != sk_c10
| sP15_iProver_def != sk_c10
| sP15_iProver_def = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_5269]) ).
cnf(c_20737,plain,
( inverse(sk_c11) != sk_c10
| sP15_iProver_def != sk_c10
| inverse(sk_c11) = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_5435]) ).
cnf(c_20911,plain,
( identity = sP11_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_20230,c_20228]) ).
cnf(c_21073,plain,
( identity = sP11_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_20231,c_20230]) ).
cnf(c_21177,plain,
( multiply(identity,sk_c10) != sP12_iProver_def
| X0 != sP12_iProver_def
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_21221,plain,
( multiply(identity,sk_c10) != sP15_iProver_def
| X0 != sP15_iProver_def
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_21271,plain,
( sk_c10 != sP12_iProver_def
| sP15_iProver_def != sP12_iProver_def
| sP15_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1417]) ).
cnf(c_21272,plain,
( sk_c10 != sP12_iProver_def
| sP15_iProver_def != sP12_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_21521,plain,
( sP4_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_20911,c_18238]) ).
cnf(c_21577,plain,
( sP4_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_21073,c_18237]) ).
cnf(c_23754,plain,
( sP5_iProver_def != sk_c10
| sP15_iProver_def != sk_c10
| sP5_iProver_def = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_9371]) ).
cnf(c_24380,plain,
( multiply(sk_c3,sk_c11) != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_27443,plain,
( inverse(sk_c11) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_11748]) ).
cnf(c_28801,plain,
multiply(sk_c1,sP17_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13174,c_101]) ).
cnf(c_28822,plain,
( identity = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_20703,c_28801]) ).
cnf(c_28825,plain,
( sk_c10 = sP15_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_1466,c_28801]) ).
cnf(c_28826,plain,
( sk_c11 = sP14_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_1454,c_28801]) ).
cnf(c_28827,plain,
( sk_c10 = sP12_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_1437,c_28801]) ).
cnf(c_28828,plain,
( sk_c11 = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_1427,c_28801]) ).
cnf(c_28829,plain,
( sk_c11 = sP9_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_1377,c_28801]) ).
cnf(c_28956,plain,
( sP12_iProver_def = sP15_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3254,c_2264,c_3254]) ).
cnf(c_29123,plain,
( sk_c11 != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_3491,c_17275]) ).
cnf(c_29124,plain,
( sk_c10 != identity
| ~ sP0_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_29123]) ).
cnf(c_29145,plain,
( identity != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_638,c_29124]) ).
cnf(c_29146,plain,
( identity != sP5_iProver_def
| ~ sP0_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_637,c_29124]) ).
cnf(c_29200,plain,
( ~ sP0_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_29145,c_3515,c_10647,c_10720]) ).
cnf(c_29251,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28822,c_14593]) ).
cnf(c_29837,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_28826,c_580]) ).
cnf(c_29846,plain,
( identity = sP15_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29837,c_18207]) ).
cnf(c_30063,plain,
( identity = sP18_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_28827,c_28825]) ).
cnf(c_30119,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_28827,c_578]) ).
cnf(c_30129,plain,
( identity = sP13_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_30119,c_18818]) ).
cnf(c_30310,plain,
( identity = sP18_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_28828,c_28826]) ).
cnf(c_30497,plain,
( identity = sP18_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28829,c_28828]) ).
cnf(c_30963,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_29846,c_14593]) ).
cnf(c_30965,plain,
( multiply(sP18_iProver_def,X0) = X0
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_29846,c_100]) ).
cnf(c_31038,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_30129,c_14593]) ).
cnf(c_31234,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_30063,c_14593]) ).
cnf(c_31374,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_30310,c_14593]) ).
cnf(c_31515,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(identity,inverse(sk_c11)) = X0 ),
inference(instantiation,[status(thm)],[c_4682]) ).
cnf(c_31517,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| multiply(identity,inverse(sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_31515]) ).
cnf(c_32156,plain,
( X0 != sk_c3
| inverse(X0) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_32157,plain,
( sk_c11 != sk_c3
| inverse(sk_c11) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_32156]) ).
cnf(c_32385,plain,
multiply(sP5_iProver_def,sP14_iProver_def) = inverse(sP15_iProver_def),
inference(demodulation,[status(thm)],[c_18293,c_14554]) ).
cnf(c_32395,plain,
multiply(sk_c11,inverse(sP15_iProver_def)) = sP14_iProver_def,
inference(superposition,[status(thm)],[c_32385,c_16677]) ).
cnf(c_32459,plain,
multiply(sP15_iProver_def,inverse(sP15_iProver_def)) = multiply(sk_c3,sP14_iProver_def),
inference(superposition,[status(thm)],[c_32395,c_2731]) ).
cnf(c_32462,plain,
multiply(sP15_iProver_def,inverse(sP15_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_32459,c_18207]) ).
cnf(c_32627,plain,
( inverse(sP15_iProver_def) = identity
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_32462,c_18303]) ).
cnf(c_33120,plain,
( identity = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_19558,c_18841,c_19165,c_19531]) ).
cnf(c_34159,plain,
( sk_c11 = sP14_iProver_def
| identity = sP5_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_30965,c_16738]) ).
cnf(c_35348,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_29251,c_20489]) ).
cnf(c_36211,plain,
( inverse(sP11_iProver_def) = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_35348,c_14593]) ).
cnf(c_36213,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_35348,c_100]) ).
cnf(c_38366,plain,
( sk_c11 = sP4_iProver_def
| identity = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_36213,c_16745]) ).
cnf(c_39083,plain,
( identity != sk_c10
| sP5_iProver_def != sk_c10
| identity = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5223]) ).
cnf(c_39131,plain,
( sk_c2 != sk_c10
| sP5_iProver_def != sk_c10
| sk_c2 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5223]) ).
cnf(c_41689,plain,
( inverse(sk_c3) != sk_c11
| sk_c10 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_580,c_588]) ).
cnf(c_41706,plain,
( sk_c11 != sP14_iProver_def
| sk_c10 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_41689,c_579]) ).
cnf(c_41874,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_44778,plain,
( identity = sP13_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_31038,c_19172]) ).
cnf(c_44866,plain,
( inverse(X0) != sP12_iProver_def
| inverse(sk_c4) != sP12_iProver_def
| inverse(sk_c4) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_2121]) ).
cnf(c_44872,plain,
( inverse(sk_c11) != sP12_iProver_def
| inverse(sk_c4) != sP12_iProver_def
| inverse(sk_c4) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_44866]) ).
cnf(c_45022,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_44778,c_100]) ).
cnf(c_46226,plain,
( X0 != sP5_iProver_def
| identity != sP5_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2428]) ).
cnf(c_46227,plain,
( X0 != sP5_iProver_def
| identity != sP5_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1969]) ).
cnf(c_46228,plain,
( sk_c11 != sP5_iProver_def
| identity != sP5_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_46227]) ).
cnf(c_46229,plain,
( sk_c11 != sP5_iProver_def
| identity != sP5_iProver_def
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_46226]) ).
cnf(c_46320,plain,
( sk_c10 = sP4_iProver_def
| sk_c10 = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_45022,c_2170]) ).
cnf(c_46479,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| identity != sP5_iProver_def
| multiply(identity,sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_5920]) ).
cnf(c_46480,plain,
( multiply(identity,sk_c10) != identity
| identity != identity
| identity = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_5382]) ).
cnf(c_46988,plain,
( sP5_iProver_def = sP18_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_31234,c_4742]) ).
cnf(c_47093,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| sP12_iProver_def != sP5_iProver_def
| sP12_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_5921]) ).
cnf(c_47096,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| sP15_iProver_def != sP5_iProver_def
| sP15_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_5921]) ).
cnf(c_47203,plain,
( inverse(sP5_iProver_def) = sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_46988,c_4742]) ).
cnf(c_47206,plain,
( sP4_iProver_def = sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_46988,c_4729]) ).
cnf(c_47223,plain,
( sk_c11 = sP5_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47203,c_17275]) ).
cnf(c_47902,plain,
( identity != identity
| sP5_iProver_def != identity
| identity = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5382]) ).
cnf(c_47927,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| sP5_iProver_def != multiply(sk_c3,sk_c11)
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_7811]) ).
cnf(c_48269,plain,
( inverse(sP12_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_47206,c_18391]) ).
cnf(c_48270,plain,
( inverse(sP12_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_47206,c_18301]) ).
cnf(c_48334,plain,
( sk_c4 = sP12_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48270,c_18876]) ).
cnf(c_48338,plain,
( sk_c4 = sP12_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48269,c_18876]) ).
cnf(c_48919,plain,
( inverse(sP4_iProver_def) = sP4_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_15696,c_31374]) ).
cnf(c_49010,plain,
( multiply(sk_c3,sk_c11) != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| multiply(sk_c3,sk_c11) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_20564]) ).
cnf(c_49022,plain,
( multiply(identity,sP15_iProver_def) != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| multiply(identity,sP15_iProver_def) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_20564]) ).
cnf(c_49023,plain,
( sP12_iProver_def != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_20564]) ).
cnf(c_50710,plain,
( multiply(identity,sP15_iProver_def) = identity
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_32627,c_101]) ).
cnf(c_51271,plain,
( inverse(X0) != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| inverse(X0) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_20564]) ).
cnf(c_51276,plain,
( inverse(sk_c11) != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| inverse(sk_c11) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_51271]) ).
cnf(c_52959,plain,
( multiply(X0,X1) != X2
| inverse(X3) != X2
| multiply(X0,X1) = inverse(X3) ),
inference(instantiation,[status(thm)],[c_4666]) ).
cnf(c_52962,plain,
( multiply(sk_c11,sk_c11) != sk_c11
| inverse(sk_c11) != sk_c11
| multiply(sk_c11,sk_c11) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_52959]) ).
cnf(c_53168,plain,
( sP4_iProver_def = sP5_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_48919,c_3065]) ).
cnf(c_53202,plain,
( inverse(sP11_iProver_def) = sk_c3
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_53168,c_18417]) ).
cnf(c_55178,plain,
multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_18818,c_12988]) ).
cnf(c_55549,plain,
multiply(inverse(multiply(X0,sk_c4)),X0) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_55178,c_14554]) ).
cnf(c_58178,plain,
( multiply(X0,X1) != sP12_iProver_def
| sP4_iProver_def != sP12_iProver_def
| sP4_iProver_def = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_2563]) ).
cnf(c_58337,plain,
( X0 != multiply(identity,multiply(identity,sk_c10))
| sP15_iProver_def != multiply(identity,multiply(identity,sk_c10))
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_3017]) ).
cnf(c_60029,plain,
( multiply(identity,sk_c10) != multiply(multiply(identity,identity),sP12_iProver_def)
| sP4_iProver_def != multiply(multiply(identity,identity),sP12_iProver_def)
| sP4_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1885]) ).
cnf(c_60340,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_41874,c_100]) ).
cnf(c_60390,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_60340]) ).
cnf(c_60391,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_60340]) ).
cnf(c_60619,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_60340,c_60340]) ).
cnf(c_62530,plain,
( sk_c10 != sP15_iProver_def
| identity != sP15_iProver_def
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_62859,plain,
( sk_c3 = sP11_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_53202,c_36211]) ).
cnf(c_62946,plain,
( sk_c10 != sP4_iProver_def
| sk_c2 != sP4_iProver_def
| sk_c2 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1421]) ).
cnf(c_63700,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_60391,c_60619]) ).
cnf(c_63728,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_63700,c_60390]) ).
cnf(c_64155,plain,
( sk_c10 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_41706,c_1779,c_3515,c_10647,c_10720,c_11749,c_29146,c_34159,c_39083,c_62530]) ).
cnf(c_64297,plain,
( multiply(sP15_iProver_def,inverse(sP15_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_28825,c_3627]) ).
cnf(c_64311,plain,
( multiply(sP5_iProver_def,inverse(sP5_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_2264,c_3627]) ).
cnf(c_64320,plain,
( multiply(sP12_iProver_def,inverse(sP12_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_625,c_3627]) ).
cnf(c_64333,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64320,c_1189,c_18876]) ).
cnf(c_64361,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64311,c_1187,c_17275]) ).
cnf(c_64373,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64297,c_32462]) ).
cnf(c_69402,plain,
( multiply(multiply(identity,identity),sP12_iProver_def) != sP12_iProver_def
| sP4_iProver_def != sP12_iProver_def
| sP4_iProver_def = multiply(multiply(identity,identity),sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_58178]) ).
cnf(c_69631,plain,
( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c10))
| sP15_iProver_def != multiply(identity,multiply(identity,sk_c10))
| multiply(X0,X1) = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_58337]) ).
cnf(c_69639,plain,
( multiply(sk_c11,sk_c11) != multiply(identity,multiply(identity,sk_c10))
| sP15_iProver_def != multiply(identity,multiply(identity,sk_c10))
| multiply(sk_c11,sk_c11) = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_69631]) ).
cnf(c_70502,plain,
( inverse(X0) != sP4_iProver_def
| X1 != sP4_iProver_def
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_70503,plain,
( inverse(sk_c11) != sP4_iProver_def
| sk_c11 != sP4_iProver_def
| inverse(sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_70502]) ).
cnf(c_74938,plain,
( identity != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP12_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_20563]) ).
cnf(c_74967,plain,
( sP5_iProver_def != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_20564]) ).
cnf(c_75027,plain,
( multiply(identity,sk_c10) != sP12_iProver_def
| sP5_iProver_def != sP12_iProver_def
| sP5_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_21177]) ).
cnf(c_75270,plain,
( multiply(identity,sk_c10) != sP15_iProver_def
| sP5_iProver_def != sP15_iProver_def
| sP5_iProver_def = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_21221]) ).
cnf(c_76517,plain,
( multiply(identity,sk_c10) != X0
| inverse(X1) != X0
| inverse(X1) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_76520,plain,
( multiply(identity,sk_c10) != sk_c11
| inverse(sk_c11) != sk_c11
| inverse(sk_c11) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_76517]) ).
cnf(c_76588,plain,
( inverse(sk_c11) != X0
| sk_c10 != X0
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1697]) ).
cnf(c_76589,plain,
( inverse(sk_c11) != sk_c11
| sk_c10 != sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_76588]) ).
cnf(c_77399,plain,
( multiply(identity,sP15_iProver_def) != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_78909,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_4666]) ).
cnf(c_78914,plain,
( inverse(sk_c11) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_78909]) ).
cnf(c_81776,plain,
( identity != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_11748]) ).
cnf(c_81930,plain,
( multiply(inverse(sk_c4),sP13_iProver_def) = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_45022,c_55549]) ).
cnf(c_81931,plain,
( multiply(inverse(sk_c4),sP13_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_19801,c_55549]) ).
cnf(c_81932,plain,
( multiply(inverse(sk_c4),sP13_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_19775,c_55549]) ).
cnf(c_82061,plain,
( sk_c10 = sP12_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_81932,c_577,c_5477]) ).
cnf(c_82064,plain,
( sk_c10 = sP12_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_81931,c_577,c_5477]) ).
cnf(c_82067,plain,
( sk_c10 = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_81930,c_577,c_5477]) ).
cnf(c_82672,plain,
( multiply(sP12_iProver_def,inverse(sP12_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_82061,c_3627]) ).
cnf(c_82685,plain,
( sk_c9 != sP13_iProver_def
| ~ sP1_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_82061,c_2490]) ).
cnf(c_82813,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82672,c_1189,c_18876]) ).
cnf(c_84264,plain,
( multiply(sP12_iProver_def,inverse(sP12_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_82064,c_3627]) ).
cnf(c_84408,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_84264,c_1189,c_18876]) ).
cnf(c_84605,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84614,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84619,plain,
( X0 != sP12_iProver_def
| sk_c10 != sP12_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_84605]) ).
cnf(c_84623,plain,
( X0 != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_84605]) ).
cnf(c_84631,plain,
( sP5_iProver_def != X0
| sP12_iProver_def != X0
| sP5_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84632,plain,
( sP5_iProver_def != X0
| sP15_iProver_def != X0
| sP5_iProver_def = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84637,plain,
( X0 != X1
| sP12_iProver_def != X1
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84643,plain,
( X0 != X1
| sP15_iProver_def != X1
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84663,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| X1 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84701,plain,
( X0 != X1
| sP12_iProver_def != X1
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84705,plain,
( X0 != X1
| sP15_iProver_def != X1
| sP15_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84711,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| multiply(identity,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84713,plain,
( sk_c10 != X0
| identity != X1
| multiply(identity,sk_c10) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_84736,plain,
( X0 != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_84614]) ).
cnf(c_84737,plain,
( X0 != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_84605]) ).
cnf(c_84746,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84770,plain,
( inverse(sk_c4) != X0
| sP5_iProver_def != X0
| sP5_iProver_def = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84772,plain,
( multiply(sk_c3,sk_c11) != X0
| sP5_iProver_def != X0
| sP5_iProver_def = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84774,plain,
( multiply(X0,X1) != X2
| sP5_iProver_def != X2
| sP5_iProver_def = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84787,plain,
( X0 != identity
| X1 != sP12_iProver_def
| multiply(X0,X1) = multiply(identity,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_84802,plain,
( multiply(identity,sP15_iProver_def) != X0
| X1 != X0
| X1 = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84804,plain,
( X0 != identity
| X1 != sP15_iProver_def
| multiply(X0,X1) = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_84832,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_84833,plain,
( multiply(sk_c11,sk_c11) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_84891,plain,
( X0 != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_84701]) ).
cnf(c_84897,plain,
( X0 != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_84705]) ).
cnf(c_84909,plain,
( multiply(identity,sk_c10) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(identity,sk_c10) = X2 ),
inference(instantiation,[status(thm)],[c_84711]) ).
cnf(c_84973,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c10 != multiply(X2,X3)
| multiply(X0,X1) = sk_c10 ),
inference(instantiation,[status(thm)],[c_84736]) ).
cnf(c_84992,plain,
( X0 != sP12_iProver_def
| sP15_iProver_def != sP12_iProver_def
| sP15_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_84705]) ).
cnf(c_85003,plain,
( X0 != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_84637]) ).
cnf(c_85080,plain,
( inverse(sk_c4) != inverse(X0)
| sP5_iProver_def != inverse(X0)
| sP5_iProver_def = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_84770]) ).
cnf(c_85082,plain,
( inverse(sk_c4) != inverse(sk_c11)
| sP5_iProver_def != inverse(sk_c11)
| sP5_iProver_def = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_85080]) ).
cnf(c_85106,plain,
( multiply(sk_c3,sk_c11) != sP15_iProver_def
| sP5_iProver_def != sP15_iProver_def
| sP5_iProver_def = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_84772]) ).
cnf(c_85128,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_85137,plain,
( multiply(sk_c1,sk_c2) != sP18_iProver_def
| sP5_iProver_def != sP18_iProver_def
| sP5_iProver_def = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_84774]) ).
cnf(c_85276,plain,
( X0 != X1
| sk_c4 != X1
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_85298,plain,
( multiply(identity,sP15_iProver_def) != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84897]) ).
cnf(c_85334,plain,
( multiply(identity,identity) != identity
| X0 != sP12_iProver_def
| multiply(multiply(identity,identity),X0) = multiply(identity,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_84787]) ).
cnf(c_85377,plain,
( multiply(identity,identity) != identity
| X0 != sP15_iProver_def
| multiply(multiply(identity,identity),X0) = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84804]) ).
cnf(c_85425,plain,
( X0 != X1
| sk_c3 != X1
| X0 = sk_c3 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_85506,plain,
( multiply(sk_c5,sk_c8) != sP11_iProver_def
| X0 != sP11_iProver_def
| X0 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_85507,plain,
( multiply(sk_c5,sk_c8) != sP11_iProver_def
| sk_c11 != sP11_iProver_def
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_85506]) ).
cnf(c_85513,plain,
( multiply(sk_c1,sk_c2) != sP18_iProver_def
| X0 != sP18_iProver_def
| X0 = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_85827,plain,
( multiply(X0,X1) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(X0,X1) = sk_c10 ),
inference(instantiation,[status(thm)],[c_84973]) ).
cnf(c_85828,plain,
( multiply(sk_c11,sk_c11) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(sk_c11,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_85827]) ).
cnf(c_86014,plain,
( sP5_iProver_def != inverse(sk_c4)
| sP12_iProver_def != inverse(sk_c4)
| sP5_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_84631]) ).
cnf(c_86021,plain,
( X0 != multiply(identity,sP12_iProver_def)
| sP12_iProver_def != multiply(identity,sP12_iProver_def)
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_84637]) ).
cnf(c_86081,plain,
( sP5_iProver_def != inverse(sk_c4)
| sP15_iProver_def != inverse(sk_c4)
| sP5_iProver_def = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_84632]) ).
cnf(c_86112,plain,
( X0 != multiply(identity,sP15_iProver_def)
| sP15_iProver_def != multiply(identity,sP15_iProver_def)
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_84643]) ).
cnf(c_86151,plain,
( inverse(sk_c4) != sP12_iProver_def
| sP15_iProver_def != sP12_iProver_def
| sP15_iProver_def = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_84992]) ).
cnf(c_86157,plain,
( multiply(identity,multiply(identity,sk_c10)) != sP12_iProver_def
| sP15_iProver_def != sP12_iProver_def
| sP15_iProver_def = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_84992]) ).
cnf(c_87270,plain,
( sk_c10 != sP12_iProver_def
| identity != X0
| multiply(identity,sk_c10) = multiply(X0,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_84713]) ).
cnf(c_87271,plain,
( sk_c10 != sP15_iProver_def
| identity != X0
| multiply(identity,sk_c10) = multiply(X0,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84713]) ).
cnf(c_88335,plain,
( multiply(identity,identity) != identity
| sP12_iProver_def != sP12_iProver_def
| multiply(multiply(identity,identity),sP12_iProver_def) = multiply(identity,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_85334]) ).
cnf(c_88474,plain,
( multiply(identity,identity) != identity
| sP15_iProver_def != sP15_iProver_def
| multiply(multiply(identity,identity),sP15_iProver_def) = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_85377]) ).
cnf(c_88684,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_88685,plain,
( sk_c11 != sk_c11
| sP4_iProver_def != sk_c11
| sk_c11 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_88684]) ).
cnf(c_88689,plain,
( multiply(sP13_iProver_def,sP15_iProver_def) != sP4_iProver_def
| X0 != sP4_iProver_def
| X0 = multiply(sP13_iProver_def,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_88691,plain,
( multiply(sP13_iProver_def,sP15_iProver_def) != sP4_iProver_def
| sk_c11 != sP4_iProver_def
| sk_c11 = multiply(sP13_iProver_def,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_88689]) ).
cnf(c_88779,plain,
( multiply(sk_c5,sk_c8) != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_85506]) ).
cnf(c_88839,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_84736]) ).
cnf(c_88840,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_84737]) ).
cnf(c_88841,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_88840]) ).
cnf(c_88842,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_88839]) ).
cnf(c_88846,plain,
( multiply(sk_c5,sk_c8) != sP11_iProver_def
| sk_c3 != sP11_iProver_def
| sk_c3 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_85506]) ).
cnf(c_88847,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c3 != multiply(sk_c5,sk_c8)
| X0 = sk_c3 ),
inference(instantiation,[status(thm)],[c_85425]) ).
cnf(c_88850,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c3 != multiply(sk_c5,sk_c8)
| sk_c11 = sk_c3 ),
inference(instantiation,[status(thm)],[c_88847]) ).
cnf(c_89188,plain,
( X0 != multiply(multiply(identity,identity),sP12_iProver_def)
| sP12_iProver_def != multiply(multiply(identity,identity),sP12_iProver_def)
| sP12_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_84701]) ).
cnf(c_89242,plain,
( multiply(multiply(identity,identity),sP12_iProver_def) != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = multiply(multiply(identity,identity),sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_84891]) ).
cnf(c_89247,plain,
( multiply(multiply(identity,identity),sP12_iProver_def) != sP12_iProver_def
| sP5_iProver_def != sP12_iProver_def
| sP5_iProver_def = multiply(multiply(identity,identity),sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_84774]) ).
cnf(c_89363,plain,
( X0 != multiply(multiply(identity,identity),sP15_iProver_def)
| sP15_iProver_def != multiply(multiply(identity,identity),sP15_iProver_def)
| sP15_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_84705]) ).
cnf(c_89419,plain,
( multiply(multiply(identity,identity),sP15_iProver_def) != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = multiply(multiply(identity,identity),sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84897]) ).
cnf(c_89424,plain,
( multiply(multiply(identity,identity),sP15_iProver_def) != sP15_iProver_def
| sP5_iProver_def != sP15_iProver_def
| sP5_iProver_def = multiply(multiply(identity,identity),sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84774]) ).
cnf(c_98472,plain,
( multiply(sP12_iProver_def,inverse(sP12_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_82067,c_3627]) ).
cnf(c_98525,plain,
( sk_c11 = sP14_iProver_def
| sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_82067,c_637]) ).
cnf(c_98526,plain,
( sk_c11 = sP11_iProver_def
| sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_82067,c_634]) ).
cnf(c_98662,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_98472,c_1189,c_18876]) ).
cnf(c_101461,plain,
( multiply(multiply(identity,identity),sP12_iProver_def) != multiply(identity,sP12_iProver_def)
| sP12_iProver_def != multiply(identity,sP12_iProver_def)
| multiply(multiply(identity,identity),sP12_iProver_def) = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_86021]) ).
cnf(c_102103,plain,
( multiply(multiply(identity,identity),sP15_iProver_def) != multiply(identity,sP15_iProver_def)
| sP15_iProver_def != multiply(identity,sP15_iProver_def)
| multiply(multiply(identity,identity),sP15_iProver_def) = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_86112]) ).
cnf(c_107379,plain,
( sk_c10 != sP12_iProver_def
| sP11_iProver_def != sP12_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_84619]) ).
cnf(c_107429,plain,
( multiply(X0,X1) != sP15_iProver_def
| X2 != sP15_iProver_def
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_107432,plain,
( multiply(sk_c11,sk_c11) != sP15_iProver_def
| sk_c11 != sP15_iProver_def
| sk_c11 = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_107429]) ).
cnf(c_107767,plain,
( multiply(X0,X1) != sk_c10
| X2 != sk_c10
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_84832]) ).
cnf(c_107770,plain,
( multiply(sk_c11,sk_c11) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_107767]) ).
cnf(c_108356,plain,
( X0 != sP12_iProver_def
| sk_c4 != sP12_iProver_def
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_85276]) ).
cnf(c_108357,plain,
( sk_c11 != sP12_iProver_def
| sk_c4 != sP12_iProver_def
| sk_c11 = sk_c4 ),
inference(instantiation,[status(thm)],[c_108356]) ).
cnf(c_108621,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_98525,c_580]) ).
cnf(c_108631,plain,
( identity = sP15_iProver_def
| sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_108621,c_18207]) ).
cnf(c_109835,plain,
( multiply(identity,sk_c10) != multiply(sP13_iProver_def,sP15_iProver_def)
| X0 != multiply(sP13_iProver_def,sP15_iProver_def)
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_84909]) ).
cnf(c_109836,plain,
( multiply(identity,sk_c10) != multiply(sP13_iProver_def,sP15_iProver_def)
| sk_c11 != multiply(sP13_iProver_def,sP15_iProver_def)
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_109835]) ).
cnf(c_112744,plain,
( identity != X0
| sP5_iProver_def != X0
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_84746]) ).
cnf(c_112747,plain,
( sP5_iProver_def != identity
| sP12_iProver_def != identity
| sP5_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_84631]) ).
cnf(c_119894,plain,
( sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_108631,c_643,c_645,c_570,c_576,c_577,c_579,c_1385,c_1552,c_2441,c_3037,c_3757,c_4670,c_4928,c_5163,c_8313,c_9594,c_11749,c_20737,c_21271,c_27443,c_32157,c_38366,c_44872,c_46320,c_46988,c_49023,c_51276,c_62859,c_70503,c_74938,c_78914,c_81776,c_82067,c_85082,c_85507,c_86014,c_88846,c_88850,c_98526,c_98525,c_108631,c_112747]) ).
cnf(c_119933,plain,
( inverse(sP5_iProver_def) = sP5_iProver_def
| identity = sP15_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_119894,c_30963]) ).
cnf(c_120086,plain,
( sk_c11 = sP5_iProver_def
| identity = sP15_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_119933,c_17275]) ).
cnf(c_127922,plain,
( X0 != identity
| sP12_iProver_def != identity
| X0 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_84637]) ).
cnf(c_127923,plain,
( sk_c11 != identity
| sP12_iProver_def != identity
| sk_c11 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_127922]) ).
cnf(c_128050,plain,
( X0 != identity
| sP15_iProver_def != identity
| X0 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_84643]) ).
cnf(c_128051,plain,
( sk_c11 != identity
| sP15_iProver_def != identity
| sk_c11 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_128050]) ).
cnf(c_128543,plain,
( identity != sP15_iProver_def
| sP5_iProver_def != sP15_iProver_def
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_112744]) ).
cnf(c_134048,plain,
( identity != sP15_iProver_def
| sP15_iProver_def != sP15_iProver_def
| sP15_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_84897]) ).
cnf(c_143764,plain,
( multiply(identity,sP15_iProver_def) != identity
| X0 != identity
| X0 = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_84802]) ).
cnf(c_143765,plain,
( multiply(identity,sP15_iProver_def) != identity
| sk_c11 != identity
| sk_c11 = multiply(identity,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_143764]) ).
cnf(c_144054,plain,
( sk_c10 != multiply(identity,sk_c10)
| identity != multiply(identity,sk_c10)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_84623]) ).
cnf(c_144143,plain,
( multiply(identity,sk_c10) != identity
| X0 != identity
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_84663]) ).
cnf(c_144144,plain,
( multiply(identity,sk_c10) != identity
| sk_c11 != identity
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_144143]) ).
cnf(c_145847,plain,
( multiply(sP11_iProver_def,X0) = X0
| sk_c11 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6690,c_20211]) ).
cnf(c_145887,plain,
( sk_c11 = sP4_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_145847,c_16745]) ).
cnf(c_149228,plain,
( sP11_iProver_def != sP15_iProver_def
| sP12_iProver_def != sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_85003]) ).
cnf(c_149366,plain,
( identity != multiply(sk_c1,sk_c2)
| sP5_iProver_def != multiply(sk_c1,sk_c2)
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_112744]) ).
cnf(c_151630,plain,
( sk_c11 = sP14_iProver_def
| identity = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_145887,c_627]) ).
cnf(c_151631,plain,
( sk_c11 = sP11_iProver_def
| identity = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_145887,c_624]) ).
cnf(c_151633,plain,
( sk_c11 = sP14_iProver_def
| identity = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_145887,c_607]) ).
cnf(c_151636,plain,
( sk_c11 = sP11_iProver_def
| identity = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_145887,c_604]) ).
cnf(c_151852,plain,
( identity = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_151630,c_643,c_645,c_570,c_576,c_577,c_628,c_1231,c_1232,c_1480,c_1551,c_1552,c_1554,c_1967,c_2788,c_3037,c_4670,c_4729,c_4921,c_8505,c_8506,c_9594,c_11738,c_11749,c_13745,c_18238,c_21521,c_23754,c_27443,c_47902,c_48338,c_49023,c_70503,c_76589,c_82064,c_85082,c_85507,c_86081,c_86151,c_88779,c_88841,c_88842,c_107379,c_108357,c_128543,c_145887,c_149228,c_151631]) ).
cnf(c_151881,plain,
( sP4_iProver_def = sP18_iProver_def
| sP5_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_151852,c_30497]) ).
cnf(c_151899,plain,
( sP4_iProver_def = sP18_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_151852,c_18238]) ).
cnf(c_151901,plain,
( inverse(sP5_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_151852,c_14593]) ).
cnf(c_151903,plain,
( multiply(sP5_iProver_def,X0) = X0
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_151852,c_100]) ).
cnf(c_151910,plain,
( sk_c11 = sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_151901,c_17275]) ).
cnf(c_151938,plain,
( identity = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_151633,c_643,c_645,c_570,c_576,c_577,c_608,c_1231,c_1232,c_1480,c_1551,c_1552,c_1967,c_2788,c_3890,c_4670,c_4921,c_8505,c_8506,c_9594,c_11735,c_11749,c_18237,c_21577,c_23754,c_27443,c_47902,c_48334,c_70503,c_78914,c_82061,c_85507,c_88779,c_88841,c_88842,c_107379,c_108357,c_128543,c_145887,c_149228,c_151636]) ).
cnf(c_151986,plain,
( sP4_iProver_def = sP16_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_151938,c_18237]) ).
cnf(c_151987,plain,
( inverse(sP5_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_151938,c_14593]) ).
cnf(c_151989,plain,
( multiply(sP5_iProver_def,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_151938,c_100]) ).
cnf(c_151996,plain,
( sk_c11 = sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_151987,c_17275]) ).
cnf(c_159957,plain,
( sk_c11 = identity
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_151903,c_1187]) ).
cnf(c_160023,plain,
( multiply(sk_c11,X0) = X0
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_151903,c_16677]) ).
cnf(c_160184,plain,
( multiply(sk_c11,sk_c11) = sk_c11
| sP4_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_160023]) ).
cnf(c_160731,plain,
( sk_c11 = identity
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_151989,c_1187]) ).
cnf(c_160797,plain,
( multiply(sk_c11,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_151989,c_16677]) ).
cnf(c_160958,plain,
( multiply(sk_c11,sk_c11) = sk_c11
| sP4_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_160797]) ).
cnf(c_164106,plain,
( sP4_iProver_def = sP5_iProver_def
| sP5_iProver_def = sP12_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_151899,c_119894]) ).
cnf(c_164704,plain,
( sk_c10 != sP12_iProver_def
| identity != multiply(identity,identity)
| multiply(identity,sk_c10) = multiply(multiply(identity,identity),sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_87270]) ).
cnf(c_165002,plain,
( sk_c10 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sP4_iProver_def = sP18_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_151910,c_584]) ).
cnf(c_167939,plain,
( multiply(sk_c1,sk_c2) != sP18_iProver_def
| identity != sP18_iProver_def
| identity = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_85513]) ).
cnf(c_172621,plain,
( sk_c10 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sP4_iProver_def = sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_151996,c_584]) ).
cnf(c_175755,plain,
( identity = sP14_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_159957,c_14822]) ).
cnf(c_175957,plain,
( sk_c10 != sP15_iProver_def
| identity != sP13_iProver_def
| multiply(identity,sk_c10) = multiply(sP13_iProver_def,sP15_iProver_def) ),
inference(instantiation,[status(thm)],[c_87271]) ).
cnf(c_176215,plain,
( identity = sP14_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_160731,c_15181]) ).
cnf(c_178985,plain,
( sP5_iProver_def != multiply(multiply(identity,identity),sP12_iProver_def)
| sP12_iProver_def != multiply(multiply(identity,identity),sP12_iProver_def)
| sP12_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_89188]) ).
cnf(c_178993,plain,
( sP5_iProver_def != multiply(multiply(identity,identity),sP15_iProver_def)
| sP15_iProver_def != multiply(multiply(identity,identity),sP15_iProver_def)
| sP15_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_89363]) ).
cnf(c_187450,plain,
( multiply(sP14_iProver_def,X0) = X0
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_175755,c_100]) ).
cnf(c_187799,plain,
( multiply(sP14_iProver_def,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_176215,c_100]) ).
cnf(c_190500,plain,
( sk_c11 = sP15_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_187450,c_5700]) ).
cnf(c_190991,plain,
( sk_c11 = sP15_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_187799,c_5700]) ).
cnf(c_198625,plain,
( multiply(sP13_iProver_def,X0) = X0
| sk_c11 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6952,c_18823]) ).
cnf(c_198683,plain,
( sk_c11 = sP4_iProver_def
| sP4_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_198625,c_4228]) ).
cnf(c_198687,plain,
( sk_c11 = sP4_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_198625,c_4229]) ).
cnf(c_203315,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_85128]) ).
cnf(c_205457,plain,
( sP4_iProver_def = sP15_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_198683,c_190991]) ).
cnf(c_205458,plain,
( sP4_iProver_def = sP15_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_198683,c_190500]) ).
cnf(c_205821,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_198687,c_627]) ).
cnf(c_205824,plain,
( sk_c11 = sP14_iProver_def
| sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_198687,c_607]) ).
cnf(c_208100,plain,
( sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_205821,c_4729,c_20562,c_205458]) ).
cnf(c_211448,plain,
( sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_205824,c_3890,c_20562,c_205457]) ).
cnf(c_212765,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| sk_c11 != multiply(X1,X2)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_203315]) ).
cnf(c_212766,plain,
( inverse(X0) != X1
| sk_c10 != X2
| multiply(inverse(X0),sk_c10) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_212767,plain,
( multiply(inverse(sk_c11),sk_c10) != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| multiply(inverse(sk_c11),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_212765]) ).
cnf(c_212768,plain,
( inverse(sk_c11) != sk_c11
| sk_c10 != sk_c11
| multiply(inverse(sk_c11),sk_c10) = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_212766]) ).
cnf(c_224613,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c11 != X1
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_224614,plain,
( multiply(identity,inverse(identity)) != inverse(identity)
| sk_c11 != inverse(identity)
| multiply(identity,inverse(identity)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_224613]) ).
cnf(c_224615,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_224625,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c11 != multiply(X1,X2)
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_224613]) ).
cnf(c_224626,plain,
( inverse(X0) != X1
| X0 != X2
| multiply(X0,inverse(X0)) = multiply(X2,X1) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_224627,plain,
( multiply(sk_c11,inverse(sk_c11)) != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| multiply(sk_c11,inverse(sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_224625]) ).
cnf(c_224628,plain,
( inverse(sk_c11) != sk_c11
| sk_c11 != sk_c11
| multiply(sk_c11,inverse(sk_c11)) = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_224626]) ).
cnf(c_224645,plain,
( inverse(identity) != X0
| X1 != X0
| inverse(identity) = X1 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_224647,plain,
( identity != X0
| inverse(identity) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_224649,plain,
( identity != sk_c11
| inverse(identity) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_224647]) ).
cnf(c_224684,plain,
( inverse(identity) != inverse(X0)
| X1 != inverse(X0)
| inverse(identity) = X1 ),
inference(instantiation,[status(thm)],[c_224645]) ).
cnf(c_224685,plain,
( inverse(identity) != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| inverse(identity) = sk_c11 ),
inference(instantiation,[status(thm)],[c_224684]) ).
cnf(c_224731,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_224737,plain,
( multiply(identity,inverse(X0)) != X1
| inverse(identity) != X1
| multiply(identity,inverse(X0)) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_224738,plain,
( multiply(identity,inverse(sk_c11)) != sk_c11
| inverse(identity) != sk_c11
| multiply(identity,inverse(sk_c11)) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_224737]) ).
cnf(c_224816,plain,
( inverse(multiply(X0,X1)) != X2
| X3 != X2
| inverse(multiply(X0,X1)) = X3 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_224818,plain,
( multiply(X0,X1) != X2
| inverse(multiply(X0,X1)) = inverse(X2) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_224820,plain,
( multiply(sk_c11,sk_c11) != sk_c11
| inverse(multiply(sk_c11,sk_c11)) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_224818]) ).
cnf(c_224893,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_224731]) ).
cnf(c_224894,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_225074,plain,
( inverse(multiply(X0,X1)) != inverse(X2)
| X3 != inverse(X2)
| inverse(multiply(X0,X1)) = X3 ),
inference(instantiation,[status(thm)],[c_224816]) ).
cnf(c_225075,plain,
( inverse(multiply(sk_c11,sk_c11)) != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| inverse(multiply(sk_c11,sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_225074]) ).
cnf(c_225773,plain,
( sk_c9 != sk_c9
| sP13_iProver_def != sk_c9
| sk_c9 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_224893]) ).
cnf(c_230595,plain,
( inverse(X0) != X1
| inverse(inverse(X0)) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_230597,plain,
( inverse(sk_c11) != sk_c11
| inverse(inverse(sk_c11)) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_230595]) ).
cnf(c_268661,plain,
( sk_c11 = sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_589,c_591]) ).
cnf(c_268693,plain,
( multiply(sP13_iProver_def,sk_c10) = sP4_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_596,c_569]) ).
cnf(c_268732,plain,
( sk_c11 = sP4_iProver_def
| sP12_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_598,c_595]) ).
cnf(c_268764,plain,
( sk_c11 = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_601,c_599]) ).
cnf(c_268857,plain,
( multiply(sk_c5,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_593,c_576]) ).
cnf(c_268868,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_595,c_578]) ).
cnf(c_268875,plain,
( multiply(sk_c3,sP14_iProver_def) = sP15_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_597,c_580]) ).
cnf(c_269056,plain,
multiply(sP5_iProver_def,sk_c11) = identity,
inference(superposition,[status(thm)],[c_570,c_101]) ).
cnf(c_269057,plain,
multiply(sP14_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_579,c_101]) ).
cnf(c_269058,plain,
multiply(sP12_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_577,c_101]) ).
cnf(c_269059,plain,
multiply(sP10_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_575,c_101]) ).
cnf(c_269061,plain,
multiply(sP7_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_572,c_101]) ).
cnf(c_269062,plain,
multiply(sP17_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_582,c_101]) ).
cnf(c_269064,plain,
multiply(sk_c11,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17275,c_101]) ).
cnf(c_269228,plain,
( sk_c11 = sP18_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_621,c_619]) ).
cnf(c_269480,plain,
( X0 != X1
| sk_c10 != X2
| multiply(X0,sk_c10) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_269481,plain,
( sk_c11 != sk_c11
| sk_c10 != sk_c11
| multiply(sk_c11,sk_c10) = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_269480]) ).
cnf(c_269582,plain,
( multiply(X0,sk_c10) != X1
| X2 != X1
| multiply(X0,sk_c10) = X2 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_269596,plain,
( multiply(sP11_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_594,c_269064]) ).
cnf(c_269882,plain,
( multiply(sk_c4,sP12_iProver_def) = sP13_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_635,c_578]) ).
cnf(c_269938,plain,
( multiply(sP13_iProver_def,sk_c10) = sP4_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_636,c_569]) ).
cnf(c_270078,plain,
multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_580,c_102]) ).
cnf(c_270079,plain,
multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_578,c_102]) ).
cnf(c_270085,plain,
multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_569,c_102]) ).
cnf(c_270087,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_270089,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269056,c_102]) ).
cnf(c_270090,plain,
multiply(sP14_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269057,c_102]) ).
cnf(c_270091,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269058,c_102]) ).
cnf(c_270092,plain,
multiply(sP10_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269059,c_102]) ).
cnf(c_270094,plain,
multiply(sP7_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269061,c_102]) ).
cnf(c_270095,plain,
multiply(sP17_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269062,c_102]) ).
cnf(c_270099,plain,
multiply(sP17_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270095,c_100]) ).
cnf(c_270100,plain,
multiply(sP7_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270094,c_100]) ).
cnf(c_270102,plain,
multiply(sP10_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270092,c_100]) ).
cnf(c_270103,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270091,c_100]) ).
cnf(c_270104,plain,
multiply(sP14_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270090,c_100]) ).
cnf(c_270105,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270089,c_100]) ).
cnf(c_270665,plain,
( multiply(X0,sk_c10) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| multiply(X0,sk_c10) = X3 ),
inference(instantiation,[status(thm)],[c_269582]) ).
cnf(c_270666,plain,
( multiply(sk_c11,sk_c10) != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_270665]) ).
cnf(c_270872,plain,
( sP4_iProver_def = sP16_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_268764,c_268661]) ).
cnf(c_270934,negated_conjecture,
( sP4_iProver_def != sk_c11
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_584,c_643,c_645,c_570,c_583,c_584,c_635,c_638,c_1274,c_1279,c_1280,c_1285,c_1408,c_1779,c_1967,c_3037,c_3491,c_4670,c_4921,c_5649,c_6029,c_6084,c_9594,c_10596,c_11749,c_18868,c_21272,c_27443,c_28825,c_29200,c_33120,c_46479,c_46480,c_46988,c_47902,c_49023,c_64155,c_70503,c_75027,c_75270,c_76520,c_82067,c_85137,c_88685,c_88691,c_109836,c_144054,c_149366,c_164106,c_167939,c_175957,c_17275]) ).
cnf(c_270936,negated_conjecture,
( sP4_iProver_def != sk_c11
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_270934,c_583,c_1274,c_1279,c_1280,c_1779,c_1967,c_3037,c_3491,c_5649,c_11749,c_21272,c_28825,c_29200,c_46479,c_46480,c_46988,c_47902,c_49023,c_64155,c_82067,c_85137,c_144054,c_149366,c_167939,c_17275,c_270934]) ).
cnf(c_270947,plain,
( sP12_iProver_def = sP15_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_268732,c_270936]) ).
cnf(c_271122,plain,
( inverse(sk_c2) != sk_c10
| sk_c9 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_581,c_587]) ).
cnf(c_271312,negated_conjecture,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_588,c_583,c_1274,c_1279,c_1280,c_1779,c_1967,c_3037,c_3491,c_5649,c_11749,c_21272,c_28825,c_29200,c_46479,c_46480,c_46988,c_47902,c_49023,c_64155,c_82067,c_85137,c_144054,c_149366,c_167939,c_17275]) ).
cnf(c_271332,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_586]) ).
cnf(c_271674,plain,
( sP12_iProver_def = sP15_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_270947,c_645,c_570,c_583,c_1274,c_1279,c_1280,c_1617,c_1699,c_1779,c_1782,c_1783,c_1967,c_2264,c_2441,c_2662,c_3037,c_3491,c_3752,c_3860,c_5437,c_5649,c_11749,c_17179,c_21272,c_28825,c_28956,c_29200,c_30063,c_31517,c_46228,c_46229,c_46479,c_46480,c_46988,c_47223,c_47902,c_49023,c_64155,c_64361,c_82067,c_85137,c_85828,c_107770,c_144054,c_149366,c_167939,c_212767,c_212768,c_224627,c_224628,c_224649,c_224685,c_224738,c_230597,c_17275]) ).
cnf(c_271958,plain,
( sP4_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_269228,c_268661]) ).
cnf(c_273364,plain,
multiply(sP17_iProver_def,sP18_iProver_def) = sk_c2,
inference(superposition,[status(thm)],[c_583,c_270099]) ).
cnf(c_273374,plain,
( multiply(sP7_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_629,c_270100]) ).
cnf(c_273722,plain,
sP4_iProver_def = sP18_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_151881,c_645,c_570,c_580,c_626,c_1231,c_1232,c_1280,c_1354,c_1476,c_1551,c_1552,c_1699,c_1962,c_1967,c_2490,c_3752,c_4506,c_4729,c_5166,c_6029,c_11738,c_14792,c_17154,c_17287,c_18238,c_24380,c_47927,c_49010,c_52962,c_60029,c_69402,c_74938,c_74967,c_75027,c_82064,c_84408,c_84833,c_85106,c_88335,c_101461,c_127923,c_151910,c_151899,c_159957,c_160184,c_164704,c_165002,c_208100,c_224820,c_224894,c_225075,c_225773,c_269481,c_270666,c_271312]) ).
cnf(c_273786,plain,
( X0 != sP5_iProver_def
| X0 = inverse(sk_c11) ),
inference(resolution,[status(thm)],[c_640,c_570]) ).
cnf(c_273787,plain,
( sk_c11 != sP5_iProver_def
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_273786]) ).
cnf(c_273914,plain,
( X0 != sP18_iProver_def
| X0 = sP4_iProver_def ),
inference(resolution,[status(thm)],[c_640,c_273722]) ).
cnf(c_273915,plain,
( sk_c11 != sP18_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_273914]) ).
cnf(c_273920,plain,
( X0 != identity
| X0 = inverse(identity) ),
inference(resolution,[status(thm)],[c_640,c_63728]) ).
cnf(c_273921,plain,
( sk_c11 != identity
| sk_c11 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_273920]) ).
cnf(c_274357,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_580,c_270104]) ).
cnf(c_274568,plain,
sP4_iProver_def = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_270872,c_645,c_570,c_580,c_583,c_606,c_1231,c_1232,c_1274,c_1279,c_1280,c_1352,c_1608,c_1699,c_1779,c_1967,c_3015,c_3037,c_3491,c_3752,c_3890,c_4505,c_5649,c_7577,c_11735,c_11749,c_14792,c_17287,c_21272,c_24380,c_28825,c_29200,c_46479,c_46480,c_46988,c_47902,c_47927,c_49010,c_49022,c_49023,c_50710,c_52962,c_64155,c_74967,c_77399,c_82067,c_82061,c_82813,c_82685,c_84833,c_85106,c_85137,c_143765,c_144054,c_149366,c_151996,c_151986,c_160731,c_160958,c_167939,c_172621,c_211448,c_224820,c_224894,c_225075,c_225773,c_17275,c_269481,c_270666]) ).
cnf(c_274583,plain,
multiply(sk_c2,sk_c10) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_581,c_274568]) ).
cnf(c_275265,plain,
sP4_iProver_def = sP18_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_271958,c_645,c_570,c_580,c_583,c_626,c_1231,c_1232,c_1274,c_1279,c_1280,c_1354,c_1476,c_1551,c_1552,c_1699,c_1779,c_1962,c_1967,c_2490,c_3037,c_3491,c_3752,c_4506,c_4729,c_5166,c_5649,c_6029,c_11738,c_11749,c_14792,c_17154,c_17287,c_18238,c_21272,c_24380,c_28825,c_29200,c_46479,c_46480,c_46988,c_47902,c_47927,c_49010,c_49023,c_52962,c_60029,c_64155,c_69402,c_74938,c_74967,c_75027,c_82067,c_82064,c_84408,c_84833,c_85106,c_85137,c_88335,c_101461,c_127923,c_144054,c_149366,c_151910,c_151899,c_159957,c_160184,c_164704,c_165002,c_167939,c_208100,c_224820,c_224894,c_225075,c_225773,c_17275,c_269481,c_270666]) ).
cnf(c_275272,plain,
multiply(sP17_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_273364,c_275265]) ).
cnf(c_275286,plain,
multiply(sk_c1,sk_c2) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_583,c_275265]) ).
cnf(c_275287,plain,
multiply(sP17_iProver_def,multiply(sP4_iProver_def,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_275272,c_102]) ).
cnf(c_275293,plain,
( multiply(sk_c1,sP17_iProver_def) = sP4_iProver_def
| sk_c10 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_615,c_275286]) ).
cnf(c_275296,plain,
multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_275286,c_102]) ).
cnf(c_277098,plain,
multiply(sk_c3,identity) = multiply(sP15_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_269064,c_270078]) ).
cnf(c_278590,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_270087,c_100]) ).
cnf(c_278626,plain,
multiply(inverse(sk_c2),sP4_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_274583,c_278590]) ).
cnf(c_278629,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_278590]) ).
cnf(c_278742,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_270104,c_278590]) ).
cnf(c_278743,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_270103,c_278590]) ).
cnf(c_278744,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_270102,c_278590]) ).
cnf(c_278793,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_278590,c_278590]) ).
cnf(c_279468,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_278629,c_278793]) ).
cnf(c_279470,plain,
multiply(sP15_iProver_def,sP5_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_277098,c_279468]) ).
cnf(c_279509,plain,
multiply(inverse(sP15_iProver_def),sk_c3) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_279470,c_278590]) ).
cnf(c_279524,plain,
multiply(inverse(sk_c2),multiply(sP4_iProver_def,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_278626,c_102]) ).
cnf(c_279780,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP4_iProver_def,sk_c10),
inference(superposition,[status(thm)],[c_274583,c_275296]) ).
cnf(c_279924,plain,
multiply(inverse(sP15_iProver_def),multiply(sk_c3,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_279509,c_102]) ).
cnf(c_279944,plain,
( multiply(inverse(sP17_iProver_def),multiply(sP4_iProver_def,X0)) = multiply(sk_c10,X0)
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_618,c_279524]) ).
cnf(c_280158,plain,
multiply(sk_c3,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_278742,c_101]) ).
cnf(c_280177,plain,
( sk_c11 = sP4_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_268875,c_280158]) ).
cnf(c_280464,plain,
multiply(sk_c4,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_278743,c_101]) ).
cnf(c_280468,plain,
multiply(sk_c4,multiply(sP12_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_278743,c_278590]) ).
cnf(c_280483,plain,
( sk_c10 = sP5_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_269882,c_280464]) ).
cnf(c_280484,plain,
( sk_c11 = sP4_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_268868,c_280464]) ).
cnf(c_280670,plain,
( multiply(sP13_iProver_def,X0) = X0
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_280483,c_100]) ).
cnf(c_280694,plain,
( multiply(sP13_iProver_def,X0) = X0
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_280484,c_100]) ).
cnf(c_280739,plain,
( sk_c10 = sP4_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_280670,c_269938]) ).
cnf(c_280892,plain,
( sk_c11 = sP4_iProver_def
| sk_c10 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_280694,c_268693]) ).
cnf(c_282316,plain,
multiply(sk_c5,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_278744,c_101]) ).
cnf(c_282335,plain,
( sk_c11 = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_268857,c_282316]) ).
cnf(c_282661,plain,
( multiply(sP11_iProver_def,X0) = X0
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_282335,c_100]) ).
cnf(c_284915,plain,
( sk_c11 = sP4_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_282661,c_269596]) ).
cnf(c_285070,plain,
( sk_c11 = sP4_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_284915,c_280177]) ).
cnf(c_285072,plain,
( inverse(sP5_iProver_def) = sP5_iProver_def
| sk_c11 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_284915,c_63728]) ).
cnf(c_285080,plain,
( sk_c11 = sP4_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_285072,c_17275]) ).
cnf(c_285182,plain,
sk_c10 = sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_273374,c_643,c_645,c_570,c_1274,c_1352,c_1355,c_1385,c_1460,c_4670,c_4921,c_5440,c_9594,c_10321,c_10720,c_11749,c_27443,c_70503,c_76589,c_164106,c_280739,c_285070]) ).
cnf(c_285188,plain,
( sk_c11 = sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_280892,c_285182]) ).
cnf(c_285193,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP4_iProver_def,sP5_iProver_def),
inference(demodulation,[status(thm)],[c_279780,c_285182]) ).
cnf(c_285207,plain,
( multiply(sk_c1,sP17_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_275293,c_285182]) ).
cnf(c_285211,plain,
multiply(sk_c9,multiply(sP5_iProver_def,X0)) = multiply(sP4_iProver_def,X0),
inference(demodulation,[status(thm)],[c_270085,c_285182]) ).
cnf(c_285221,plain,
multiply(sk_c4,multiply(sP5_iProver_def,X0)) = multiply(sP13_iProver_def,X0),
inference(demodulation,[status(thm)],[c_270079,c_285182]) ).
cnf(c_285245,plain,
multiply(sk_c2,sP5_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_274583,c_285182]) ).
cnf(c_285251,plain,
( multiply(X0,sP5_iProver_def) != sk_c9
| inverse(X0) != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_587,c_285182]) ).
cnf(c_285262,plain,
( sk_c2 = sP17_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_618,c_285182]) ).
cnf(c_285263,plain,
( sk_c2 = sP17_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_615,c_285182]) ).
cnf(c_285264,plain,
multiply(sk_c4,sP5_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_578,c_285182]) ).
cnf(c_285268,plain,
( sk_c11 = sP4_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_595,c_285182]) ).
cnf(c_285355,plain,
( sP5_iProver_def = sP12_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_285268,c_270936]) ).
cnf(c_285393,plain,
( sP5_iProver_def = sP12_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_285355,c_643,c_645,c_570,c_583,c_584,c_595,c_1274,c_1279,c_1280,c_1352,c_1355,c_1385,c_1460,c_1551,c_1552,c_1617,c_1699,c_1779,c_1782,c_1783,c_1967,c_2441,c_2662,c_3037,c_3491,c_3752,c_3860,c_4670,c_4921,c_5440,c_5437,c_5649,c_9594,c_10321,c_10720,c_11749,c_11846,c_14213,c_17179,c_21272,c_27443,c_28827,c_28825,c_29200,c_31517,c_46228,c_46229,c_46479,c_46480,c_46988,c_47902,c_49023,c_64155,c_70503,c_74938,c_76589,c_82067,c_85137,c_85828,c_107770,c_112747,c_119894,c_120086,c_144054,c_149366,c_164106,c_167939,c_212767,c_212768,c_224614,c_224615,c_224627,c_224628,c_224649,c_224685,c_224738,c_230597,c_17275,c_271674,c_273921,c_280739,c_285070]) ).
cnf(c_285891,plain,
( sP4_iProver_def != sP5_iProver_def
| sk_c11 = sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_285080,c_270936]) ).
cnf(c_285925,plain,
sk_c11 = sP4_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_285188,c_645,c_570,c_1025,c_1274,c_1279,c_1280,c_1610,c_1699,c_1779,c_1782,c_1846,c_1967,c_2247,c_2441,c_2662,c_3037,c_3860,c_5437,c_5649,c_5923,c_6467,c_6942,c_11749,c_14792,c_17179,c_18005,c_20560,c_31517,c_46228,c_46229,c_49023,c_64333,c_69639,c_86157,c_107432,c_128051,c_134048,c_145887,c_212767,c_212768,c_224627,c_224628,c_224649,c_224685,c_224738,c_230597,c_273787,c_273915,c_285080,c_285182,c_285188,c_285891]) ).
cnf(c_285996,plain,
multiply(sP5_iProver_def,multiply(sP4_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_270105,c_285925]) ).
cnf(c_285997,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_274357,c_285925]) ).
cnf(c_286004,plain,
( sP4_iProver_def != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_270936,c_285925]) ).
cnf(c_286005,plain,
multiply(sP4_iProver_def,sP5_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_269064,c_285925]) ).
cnf(c_286006,plain,
( sk_c2 = sP17_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_617,c_285925]) ).
cnf(c_286007,plain,
multiply(sP5_iProver_def,sP4_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_269056,c_285925]) ).
cnf(c_286012,plain,
inverse(sP5_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_17275,c_285925]) ).
cnf(c_286013,plain,
inverse(sP4_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_570,c_285925]) ).
cnf(c_286039,plain,
( sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_286004]) ).
cnf(c_286133,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP17_iProver_def,identity),
inference(superposition,[status(thm)],[c_286005,c_275287]) ).
cnf(c_286135,plain,
multiply(sP17_iProver_def,identity) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_286133,c_285245]) ).
cnf(c_286210,plain,
sP4_iProver_def = sP17_iProver_def,
inference(demodulation,[status(thm)],[c_286135,c_279468]) ).
cnf(c_286212,plain,
( multiply(sk_c1,sP4_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_285207,c_286210]) ).
cnf(c_286216,plain,
( sk_c2 = sP4_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_286006,c_286210]) ).
cnf(c_286220,plain,
( sk_c2 = sP4_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_285263,c_286210]) ).
cnf(c_286221,plain,
( sk_c2 = sP4_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_285262,c_286210]) ).
cnf(c_286236,plain,
multiply(sP4_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_275272,c_286210]) ).
cnf(c_286242,plain,
( sk_c9 = sP13_iProver_def
| sk_c2 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_616,c_286210]) ).
cnf(c_286294,plain,
( identity = sP4_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_286212,c_285193,c_286005]) ).
cnf(c_286398,plain,
multiply(sk_c9,identity) = multiply(sP4_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_286007,c_285211]) ).
cnf(c_286403,plain,
multiply(sk_c9,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_286398,c_286236]) ).
cnf(c_286443,plain,
sk_c9 = sk_c2,
inference(demodulation,[status(thm)],[c_286403,c_279468]) ).
cnf(c_286513,plain,
( inverse(sk_c2) != sP5_iProver_def
| sk_c2 != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_271122,c_274568,c_285182,c_286443]) ).
cnf(c_286759,plain,
( inverse(sP4_iProver_def) != sP5_iProver_def
| sk_c2 != sP4_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_286220,c_286513]) ).
cnf(c_286776,plain,
( sk_c2 != sP4_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_286759,c_286013]) ).
cnf(c_286848,plain,
( inverse(sP4_iProver_def) != sP5_iProver_def
| sk_c2 != sP4_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_286221,c_286513]) ).
cnf(c_286868,plain,
( sk_c2 != sP4_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP15_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_286848,c_286013]) ).
cnf(c_286985,plain,
sP5_iProver_def = sP12_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286294,c_285393,c_286220,c_286776]) ).
cnf(c_286990,plain,
multiply(sk_c4,multiply(sP5_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_280468,c_286985]) ).
cnf(c_286992,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_280464,c_286985]) ).
cnf(c_286998,plain,
identity = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_286992,c_285264]) ).
cnf(c_286999,plain,
multiply(sP13_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_286990,c_285221]) ).
cnf(c_287010,plain,
multiply(sP5_iProver_def,sP4_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_286007,c_286998]) ).
cnf(c_287011,plain,
multiply(sP4_iProver_def,sP5_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_286005,c_286998]) ).
cnf(c_287015,plain,
multiply(sk_c3,sP14_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_280158,c_286998]) ).
cnf(c_287022,plain,
inverse(sP13_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_63728,c_286998]) ).
cnf(c_287085,plain,
( sk_c11 != identity
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_271332,c_643,c_645,c_570,c_583,c_1274,c_1279,c_1280,c_1352,c_1355,c_1385,c_1416,c_1460,c_1779,c_1967,c_4670,c_4921,c_5440,c_5649,c_9594,c_10321,c_10720,c_11749,c_14213,c_27443,c_46479,c_47902,c_64373,c_70503,c_76589,c_85137,c_98662,c_144144,c_149366,c_164106,c_167939,c_224614,c_224615,c_273921,c_280739,c_285070]) ).
cnf(c_287087,plain,
( sP4_iProver_def != sP13_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_287085,c_285925,c_286998]) ).
cnf(c_287092,plain,
sk_c10 = sP15_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_279944,c_643,c_645,c_570,c_1274,c_1279,c_1280,c_1352,c_1355,c_1385,c_1460,c_1476,c_1552,c_1779,c_1962,c_3015,c_3037,c_4670,c_4921,c_5166,c_5440,c_5649,c_6272,c_6374,c_9594,c_10321,c_10720,c_11749,c_14659,c_21272,c_27443,c_47093,c_47096,c_49023,c_70503,c_76589,c_85298,c_88335,c_88474,c_89242,c_89247,c_89419,c_89424,c_101461,c_102103,c_164106,c_178985,c_178993,c_271674,c_280739,c_285070,c_285393,c_286242,c_286220,c_286776,c_286868]) ).
cnf(c_287094,plain,
sP5_iProver_def = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_287092,c_285182]) ).
cnf(c_287097,plain,
multiply(sP14_iProver_def,sP5_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_285997,c_287094]) ).
cnf(c_287098,plain,
multiply(inverse(sP5_iProver_def),multiply(sk_c3,X0)) = multiply(sP5_iProver_def,X0),
inference(demodulation,[status(thm)],[c_279924,c_287094]) ).
cnf(c_287102,plain,
multiply(sP4_iProver_def,multiply(sk_c3,X0)) = multiply(sP5_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_287098,c_286012]) ).
cnf(c_287136,plain,
multiply(sP14_iProver_def,sP13_iProver_def) = sP14_iProver_def,
inference(superposition,[status(thm)],[c_287015,c_270104]) ).
cnf(c_287176,plain,
( multiply(X0,sP5_iProver_def) != sk_c2
| inverse(X0) != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_285251,c_286443]) ).
cnf(c_287186,plain,
( inverse(sP13_iProver_def) != sP5_iProver_def
| sk_c2 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_286999,c_287176]) ).
cnf(c_287188,plain,
( sk_c2 != sP5_iProver_def
| sP5_iProver_def != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_287186,c_287022]) ).
cnf(c_287590,plain,
multiply(sP14_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_287097,c_102]) ).
cnf(c_287675,plain,
multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP14_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_287010,c_287590]) ).
cnf(c_287689,plain,
sk_c2 = sP14_iProver_def,
inference(light_normalisation,[status(thm)],[c_287675,c_286236,c_287136]) ).
cnf(c_287704,plain,
sP4_iProver_def = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_286216,c_287689]) ).
cnf(c_287747,plain,
multiply(sP4_iProver_def,multiply(sk_c3,X0)) = X0,
inference(demodulation,[status(thm)],[c_270104,c_287704]) ).
cnf(c_287749,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_287747,c_287102]) ).
cnf(c_287755,plain,
multiply(sP4_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_285996,c_287749]) ).
cnf(c_287756,plain,
sP5_iProver_def = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_287011,c_287755]) ).
cnf(c_287761,plain,
( sP4_iProver_def != sP5_iProver_def
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_287087,c_287756]) ).
cnf(c_287764,plain,
inverse(sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_287022,c_287756]) ).
cnf(c_287765,plain,
identity = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_286998,c_287756]) ).
cnf(c_287770,plain,
sP4_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_287764,c_286012]) ).
cnf(c_287781,plain,
sk_c10 = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_285182,c_287770]) ).
cnf(c_287786,plain,
~ sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_287761,c_287770]) ).
cnf(c_287787,plain,
( sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_286039,c_287786]) ).
cnf(c_287808,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_287756,c_287765,c_287781,c_287787,c_287188,c_287092,c_286985,c_286242,c_285925,c_285182,c_230597,c_224738,c_224685,c_224649,c_224628,c_224627,c_212768,c_212767,c_178985,c_107432,c_101461,c_89247,c_89242,c_88335,c_69639,c_62946,c_47093,c_46229,c_46228,c_39131,c_31517,c_20736,c_17179,c_11749,c_9372,c_6272,c_5649,c_5437,c_5434,c_5436,c_5166,c_4203,c_3860,c_3037,c_3036,c_2662,c_2490,c_2441,c_2247,c_1967,c_1962,c_1933,c_1846,c_1779,c_1610,c_1552,c_1476,c_1422,c_1385,c_1280,c_1279,c_1274,c_570,c_645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : GRP371-1 : TPTP v8.1.2. Released v2.5.0.
% 0.01/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Fri May 3 00:21:36 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 91.32/13.21 % SZS status Started for theBenchmark.p
% 91.32/13.21 % SZS status Unsatisfiable for theBenchmark.p
% 91.32/13.21
% 91.32/13.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 91.32/13.21
% 91.32/13.21 ------ iProver source info
% 91.32/13.21
% 91.32/13.21 git: date: 2024-05-02 19:28:25 +0000
% 91.32/13.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 91.32/13.21 git: non_committed_changes: false
% 91.32/13.21
% 91.32/13.21 ------ Parsing...successful
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 91.32/13.21
% 91.32/13.21 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 91.32/13.21
% 91.32/13.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 91.32/13.21 ------ Proving...
% 91.32/13.21 ------ Problem Properties
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 clauses 73
% 91.32/13.21 conjectures 55
% 91.32/13.21 EPR 51
% 91.32/13.21 Horn 22
% 91.32/13.21 unary 18
% 91.32/13.21 binary 50
% 91.32/13.21 lits 138
% 91.32/13.21 lits eq 130
% 91.32/13.21 fd_pure 0
% 91.32/13.21 fd_pseudo 0
% 91.32/13.21 fd_cond 0
% 91.32/13.21 fd_pseudo_cond 0
% 91.32/13.21 AC symbols 0
% 91.32/13.21
% 91.32/13.21 ------ Schedule dynamic 5 is on
% 91.32/13.21
% 91.32/13.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 ------
% 91.32/13.21 Current options:
% 91.32/13.21 ------
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 ------ Proving...
% 91.32/13.21 Proof_search_loop: time out after: 12446 full_loop iterations
% 91.32/13.21
% 91.32/13.21 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 ------
% 91.32/13.21 Current options:
% 91.32/13.21 ------
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 ------ Proving...
% 91.32/13.21
% 91.32/13.21
% 91.32/13.21 % SZS status Unsatisfiable for theBenchmark.p
% 91.32/13.21
% 91.32/13.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.32/13.23
% 91.32/13.23
%------------------------------------------------------------------------------