TSTP Solution File: GRP284-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP284-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:22:02 EDT 2024
% Result : Unsatisfiable 8.07s 1.67s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_330,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_74]) ).
cnf(c_331,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_74]) ).
cnf(c_333,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_74]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_335,plain,
multiply(sk_c7,sk_c6) = sP4_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c6,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_337,plain,
multiply(sk_c4,sk_c5) = sP6_iProver_def,
definition ).
cnf(c_338,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_339,plain,
inverse(sk_c4) = sP8_iProver_def,
definition ).
cnf(c_340,plain,
multiply(sk_c3,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_341,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_342,plain,
multiply(sk_c2,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_343,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_344,plain,
multiply(sk_c1,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_345,negated_conjecture,
( sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_334,c_336,c_335]) ).
cnf(c_346,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_333]) ).
cnf(c_347,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_332]) ).
cnf(c_348,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_331]) ).
cnf(c_349,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_330]) ).
cnf(c_350,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_73,c_338,c_337]) ).
cnf(c_351,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_339]) ).
cnf(c_352,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71,c_340]) ).
cnf(c_353,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70,c_341]) ).
cnf(c_354,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_355,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_68,c_342]) ).
cnf(c_356,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_357,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_358,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_359,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_360,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_343]) ).
cnf(c_361,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_362,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_363,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_364,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_365,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_344]) ).
cnf(c_366,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_367,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_368,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_369,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_370,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_371,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_374,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_375,plain,
X0 = X0,
theory(equality) ).
cnf(c_376,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_584,plain,
( sk_c7 = sP7_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_353]) ).
cnf(c_643,plain,
( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_357,c_337]) ).
cnf(c_644,plain,
( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_356,c_337]) ).
cnf(c_645,plain,
( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_337]) ).
cnf(c_646,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_337]) ).
cnf(c_656,plain,
( multiply(sk_c3,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_340]) ).
cnf(c_666,plain,
( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_337]) ).
cnf(c_678,plain,
( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_359,c_337]) ).
cnf(c_690,plain,
( multiply(sk_c3,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_340]) ).
cnf(c_710,plain,
( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_340]) ).
cnf(c_711,plain,
( multiply(sP8_iProver_def,sk_c7) = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_336]) ).
cnf(c_712,plain,
( multiply(sk_c7,sP8_iProver_def) = sP4_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_335]) ).
cnf(c_729,plain,
( multiply(sP12_iProver_def,sk_c6) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_335]) ).
cnf(c_749,plain,
( multiply(sP12_iProver_def,sk_c6) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_363,c_335]) ).
cnf(c_762,plain,
( sk_c5 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c5 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_775,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_364,c_337]) ).
cnf(c_812,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_340]) ).
cnf(c_814,plain,
( multiply(sk_c7,sP13_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_335]) ).
cnf(c_840,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_846,plain,
( multiply(sk_c2,sP12_iProver_def) = sP11_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_363,c_342]) ).
cnf(c_847,plain,
( multiply(sk_c2,sP12_iProver_def) = sP11_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_342]) ).
cnf(c_881,plain,
( sk_c5 != sP11_iProver_def
| sP4_iProver_def != sP11_iProver_def
| sP4_iProver_def = sk_c5 ),
inference(instantiation,[status(thm)],[c_762]) ).
cnf(c_886,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_341,c_76]) ).
cnf(c_887,plain,
multiply(sP8_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_339,c_76]) ).
cnf(c_888,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_343,c_76]) ).
cnf(c_889,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_338,c_76]) ).
cnf(c_905,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_366,c_340]) ).
cnf(c_907,plain,
( multiply(sk_c7,sP13_iProver_def) = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_366,c_335]) ).
cnf(c_949,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_367,c_340]) ).
cnf(c_985,plain,
( X0 != sP5_iProver_def
| sk_c5 != sP5_iProver_def
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_1052,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_369,c_337]) ).
cnf(c_1094,plain,
( multiply(sk_c4,sP4_iProver_def) = sP6_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_337]) ).
cnf(c_1097,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_355]) ).
cnf(c_1176,plain,
( sk_c5 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c5 ),
inference(instantiation,[status(thm)],[c_985]) ).
cnf(c_1177,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_1299,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_374,c_337]) ).
cnf(c_1361,plain,
( sk_c5 != sP5_iProver_def
| sk_c6 = sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_345]) ).
cnf(c_1363,plain,
( sk_c5 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sk_c7 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_364,c_345]) ).
cnf(c_1369,plain,
( sk_c5 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sk_c7 = sP7_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_345]) ).
cnf(c_1564,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_336,c_77]) ).
cnf(c_1565,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_340,c_77]) ).
cnf(c_1567,plain,
multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_344,c_77]) ).
cnf(c_1568,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_342,c_77]) ).
cnf(c_1570,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1572,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_886,c_77]) ).
cnf(c_1573,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_887,c_77]) ).
cnf(c_1574,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_888,c_77]) ).
cnf(c_1575,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_889,c_77]) ).
cnf(c_1577,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1575,c_75]) ).
cnf(c_1578,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1574,c_75]) ).
cnf(c_1579,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1573,c_75]) ).
cnf(c_1580,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1572,c_75]) ).
cnf(c_1637,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_584,c_342]) ).
cnf(c_1899,plain,
multiply(sP7_iProver_def,sP11_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_342,c_1577]) ).
cnf(c_1909,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_346]) ).
cnf(c_1910,plain,
( inverse(sk_c2) != sk_c7
| sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_346]) ).
cnf(c_1912,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_76,c_346]) ).
cnf(c_1926,plain,
( sk_c7 != sP7_iProver_def
| sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1910,c_338]) ).
cnf(c_1930,plain,
( sk_c7 != sP12_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1909,c_343]) ).
cnf(c_2067,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_337,c_347]) ).
cnf(c_2068,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_347]) ).
cnf(c_2069,plain,
( inverse(inverse(sk_c5)) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_76,c_347]) ).
cnf(c_2087,plain,
( sk_c6 != sP6_iProver_def
| sk_c6 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2067,c_339]) ).
cnf(c_2226,plain,
( inverse(sk_c2) != sk_c7
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_348]) ).
cnf(c_2242,plain,
( sk_c7 != sP7_iProver_def
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2226,c_338]) ).
cnf(c_2348,plain,
( inverse(sk_c7) != sk_c7
| sk_c7 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_335,c_349]) ).
cnf(c_2349,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_340,c_349]) ).
cnf(c_2351,plain,
( inverse(inverse(sk_c6)) != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_76,c_349]) ).
cnf(c_2366,plain,
( sk_c7 != sP9_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2349,c_341]) ).
cnf(c_2735,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_344,c_1578]) ).
cnf(c_2757,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_337,c_1579]) ).
cnf(c_2762,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_340,c_1580]) ).
cnf(c_3012,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_643,c_1579]) ).
cnf(c_3013,plain,
( sk_c7 = sP9_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3012,c_2757]) ).
cnf(c_3030,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_644,c_1579]) ).
cnf(c_3031,plain,
( sk_c6 = sP8_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3030,c_2757]) ).
cnf(c_3042,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_645,c_1579]) ).
cnf(c_3043,plain,
( sk_c6 = sP6_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3042,c_2757]) ).
cnf(c_3063,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_646,c_1579]) ).
cnf(c_3064,plain,
( sk_c7 = sP7_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3063,c_2757]) ).
cnf(c_3124,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_656,c_1580]) ).
cnf(c_3125,plain,
( sk_c7 = sP7_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3124,c_2762]) ).
cnf(c_3136,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_666,c_1579]) ).
cnf(c_3137,plain,
( sk_c7 = sP10_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3136,c_2757]) ).
cnf(c_3148,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_1579]) ).
cnf(c_3149,plain,
( sk_c5 = sP5_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3148,c_2757]) ).
cnf(c_3242,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_690,c_1580]) ).
cnf(c_3243,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3242,c_2762]) ).
cnf(c_3360,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_1580]) ).
cnf(c_3361,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3360,c_2762]) ).
cnf(c_3509,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_367,c_729]) ).
cnf(c_3518,plain,
( sk_c7 = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3509,c_2735]) ).
cnf(c_3728,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_368,c_749]) ).
cnf(c_3738,plain,
( sk_c7 = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3728,c_2735]) ).
cnf(c_3804,plain,
( sk_c7 = sP4_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3738,c_3518]) ).
cnf(c_4039,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_775,c_1579]) ).
cnf(c_4040,plain,
( sk_c7 = sP12_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4039,c_2757]) ).
cnf(c_4051,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_812,c_1580]) ).
cnf(c_4052,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4051,c_2762]) ).
cnf(c_4193,plain,
( multiply(sP7_iProver_def,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_846,c_1577]) ).
cnf(c_4194,plain,
( sk_c7 = sP10_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4193,c_1899]) ).
cnf(c_4209,plain,
( multiply(sP7_iProver_def,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_847,c_1577]) ).
cnf(c_4210,plain,
( sk_c7 = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4209,c_1899]) ).
cnf(c_4412,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_905,c_1580]) ).
cnf(c_4413,plain,
( sk_c6 = sP8_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4412,c_2762]) ).
cnf(c_4513,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_949,c_1580]) ).
cnf(c_4514,plain,
( sk_c7 = sP9_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4513,c_2762]) ).
cnf(c_4731,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1052,c_1579]) ).
cnf(c_4732,plain,
( sk_c6 = sP13_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4731,c_2757]) ).
cnf(c_4743,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1094,c_1579]) ).
cnf(c_4744,plain,
( sk_c6 = sP6_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4743,c_2757]) ).
cnf(c_4810,plain,
( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3804,c_342]) ).
cnf(c_5162,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1299,c_1579]) ).
cnf(c_5163,plain,
( sk_c5 = sP4_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5162,c_2757]) ).
cnf(c_5717,plain,
multiply(sk_c6,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_335,c_1564]) ).
cnf(c_6112,plain,
multiply(sk_c3,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1565]) ).
cnf(c_6167,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_6112,c_1580]) ).
cnf(c_6194,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP13_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_335,c_1567]) ).
cnf(c_6483,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_335,c_1568]) ).
cnf(c_6641,plain,
multiply(sP7_iProver_def,multiply(sP11_iProver_def,sk_c6)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6483,c_1577]) ).
cnf(c_7858,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1570,c_75]) ).
cnf(c_7863,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_335,c_7858]) ).
cnf(c_7864,plain,
multiply(inverse(sk_c6),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_336,c_7858]) ).
cnf(c_7869,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_7858]) ).
cnf(c_7870,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_7858]) ).
cnf(c_7924,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP13_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_907,c_7858]) ).
cnf(c_7925,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP13_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_814,c_7858]) ).
cnf(c_7965,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1580,c_7858]) ).
cnf(c_7966,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1579,c_7858]) ).
cnf(c_7967,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1578,c_7858]) ).
cnf(c_7968,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1577,c_7858]) ).
cnf(c_7994,plain,
multiply(inverse(sk_c6),multiply(sP5_iProver_def,sk_c6)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_5717,c_7858]) ).
cnf(c_7996,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7858,c_7858]) ).
cnf(c_8517,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7870,c_7996]) ).
cnf(c_8539,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8517,c_7869]) ).
cnf(c_9285,plain,
( multiply(sP11_iProver_def,sk_c6) = sP11_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4810,c_6483]) ).
cnf(c_9784,plain,
( sk_c6 != sP11_iProver_def
| ~ sP3_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_584,c_1926]) ).
cnf(c_10041,plain,
( multiply(sk_c3,sk_c7) != sk_c5
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7965,c_348]) ).
cnf(c_10043,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7965,c_76]) ).
cnf(c_10046,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7965,c_349]) ).
cnf(c_10049,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_7965,c_8517]) ).
cnf(c_10055,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10046,c_340]) ).
cnf(c_10308,plain,
( sP2_iProver_def
| sk_c5 != sP5_iProver_def
| sk_c6 = sP6_iProver_def
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1361,c_345,c_881,c_1097,c_1176,c_1177,c_1930,c_2242,c_3043,c_3125,c_3243,c_4052]) ).
cnf(c_10309,plain,
( sk_c5 != sP5_iProver_def
| sk_c6 = sP6_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_10308]) ).
cnf(c_10342,plain,
( sP5_iProver_def != sP11_iProver_def
| sk_c6 = sP6_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_10309]) ).
cnf(c_10566,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_10049,c_8517]) ).
cnf(c_10628,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_7966,c_347]) ).
cnf(c_10629,plain,
multiply(sk_c4,multiply(sP8_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_7966,c_7858]) ).
cnf(c_10630,plain,
multiply(sk_c4,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_7966,c_8517]) ).
cnf(c_10631,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c6
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10628,c_337]) ).
cnf(c_10812,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2068,c_8539]) ).
cnf(c_11072,plain,
( sk_c6 != sP8_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_2087]) ).
cnf(c_11108,plain,
( ~ sP2_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11072,c_3361,c_11072]) ).
cnf(c_11257,plain,
inverse(sP8_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_10630,c_8517]) ).
cnf(c_11262,plain,
( multiply(sk_c4,sP5_iProver_def) = sk_c7
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_10629]) ).
cnf(c_11371,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7967,c_76]) ).
cnf(c_11375,plain,
( multiply(sk_c1,sk_c5) != sk_c6
| inverse(inverse(sP12_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_7967,c_347]) ).
cnf(c_11377,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_7967,c_8517]) ).
cnf(c_11619,plain,
( inverse(sk_c7) != sk_c7
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2348,c_2366,c_2348,c_3518,c_3738]) ).
cnf(c_11629,plain,
( inverse(sP4_iProver_def) != sP4_iProver_def
| ~ sP0_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3804,c_11619]) ).
cnf(c_11637,plain,
( inverse(sP12_iProver_def) != sP12_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_363,c_11619]) ).
cnf(c_11638,plain,
( inverse(sP12_iProver_def) != sP12_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_11619]) ).
cnf(c_11758,plain,
( ~ sP0_iProver_def
| inverse(sP12_iProver_def) != sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11637,c_2366,c_11637,c_11638]) ).
cnf(c_11759,plain,
( inverse(sP12_iProver_def) != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_11758]) ).
cnf(c_12435,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_11377,c_8517]) ).
cnf(c_12436,plain,
( sk_c1 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_11759,c_12435]) ).
cnf(c_12763,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_371,c_2069]) ).
cnf(c_13253,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7968,c_76]) ).
cnf(c_13259,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_7968,c_8517]) ).
cnf(c_13274,plain,
( identity = sP11_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1637,c_13253]) ).
cnf(c_13313,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_13259,c_8517]) ).
cnf(c_13449,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_13274,c_75]) ).
cnf(c_14214,plain,
( sk_c6 = sP11_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_13449,c_9285]) ).
cnf(c_14545,plain,
( sk_c6 != sk_c5
| identity != sP11_iProver_def
| ~ sP2_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_14214,c_10812]) ).
cnf(c_18479,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14545,c_14214,c_13313,c_13274,c_13259,c_13253,c_12763,c_12436,c_12435,c_11629,c_11375,c_11377,c_11371,c_11262,c_11257,c_11108,c_10631,c_10630,c_10566,c_10342,c_10055,c_10041,c_10049,c_10043,c_9784,c_9285,c_8539,c_7994,c_7925,c_7924,c_7864,c_7863,c_6641,c_6483,c_6194,c_6167,c_6112,c_5163,c_4744,c_4732,c_4514,c_4413,c_4210,c_4194,c_4040,c_3243,c_3149,c_3137,c_3064,c_3043,c_3031,c_3013,c_2762,c_2757,c_2735,c_2366,c_2351,c_2242,c_2087,c_1912,c_1899,c_1369,c_1363,c_712,c_584,c_354,c_353,c_351,c_350,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP284-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:26:30 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 8.07/1.67 % SZS status Started for theBenchmark.p
% 8.07/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.07/1.67
% 8.07/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.07/1.67
% 8.07/1.67 ------ iProver source info
% 8.07/1.67
% 8.07/1.67 git: date: 2024-05-02 19:28:25 +0000
% 8.07/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.07/1.67 git: non_committed_changes: false
% 8.07/1.67
% 8.07/1.67 ------ Parsing...successful
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.07/1.67
% 8.07/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.07/1.67
% 8.07/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.07/1.67 ------ Proving...
% 8.07/1.67 ------ Problem Properties
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67 clauses 43
% 8.07/1.67 conjectures 30
% 8.07/1.67 EPR 26
% 8.07/1.67 Horn 17
% 8.07/1.67 unary 13
% 8.07/1.67 binary 25
% 8.07/1.67 lits 81
% 8.07/1.67 lits eq 73
% 8.07/1.67 fd_pure 0
% 8.07/1.67 fd_pseudo 0
% 8.07/1.67 fd_cond 0
% 8.07/1.67 fd_pseudo_cond 0
% 8.07/1.67 AC symbols 0
% 8.07/1.67
% 8.07/1.67 ------ Schedule dynamic 5 is on
% 8.07/1.67
% 8.07/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67 ------
% 8.07/1.67 Current options:
% 8.07/1.67 ------
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67 ------ Proving...
% 8.07/1.67
% 8.07/1.67
% 8.07/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.07/1.67
% 8.07/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.07/1.67
% 8.07/1.68
%------------------------------------------------------------------------------