TSTP Solution File: GRP216-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Mon Jun 24 06:58:44 EDT 2024
% Result : Unsatisfiable 4.14s 1.17s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c7) != X4
| multiply(sk_c7,X4) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c7
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_75,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_76,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7
| inverse(sk_c7) != sk_c6 ),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_318,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_77]) ).
cnf(c_319,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_77]) ).
cnf(c_320,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_77]) ).
cnf(c_321,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_77]) ).
cnf(c_322,negated_conjecture,
( inverse(sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).
cnf(c_323,plain,
inverse(sk_c7) = sP4_iProver_def,
definition ).
cnf(c_324,plain,
inverse(sk_c4) = sP5_iProver_def,
definition ).
cnf(c_325,plain,
inverse(sk_c2) = sP6_iProver_def,
definition ).
cnf(c_326,plain,
multiply(sk_c4,sk_c7) = sP7_iProver_def,
definition ).
cnf(c_327,plain,
multiply(sk_c7,sk_c5) = sP8_iProver_def,
definition ).
cnf(c_328,plain,
multiply(sk_c3,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_329,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_330,plain,
multiply(sk_c2,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_331,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_332,plain,
multiply(sk_c1,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_333,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_322,c_323]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_321]) ).
cnf(c_335,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_320]) ).
cnf(c_336,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_319]) ).
cnf(c_337,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_318]) ).
cnf(c_338,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_325,c_324]) ).
cnf(c_339,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_71,c_326]) ).
cnf(c_340,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70,c_327]) ).
cnf(c_341,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69,c_328]) ).
cnf(c_342,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_329]) ).
cnf(c_343,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_344,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_330]) ).
cnf(c_345,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_346,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_347,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_348,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_349,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_350,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60,c_331]) ).
cnf(c_352,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_353,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_354,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_355,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_356,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54,c_332]) ).
cnf(c_358,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_359,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_360,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_361,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_600,plain,
( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_326]) ).
cnf(c_604,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_345,c_327]) ).
cnf(c_615,plain,
( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_340,c_328]) ).
cnf(c_635,plain,
( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_346,c_328]) ).
cnf(c_659,plain,
( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_347,c_326]) ).
cnf(c_672,plain,
( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_348,c_326]) ).
cnf(c_726,plain,
( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_326]) ).
cnf(c_761,plain,
( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_328]) ).
cnf(c_827,plain,
( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_349,c_330]) ).
cnf(c_828,plain,
( multiply(sk_c2,sP8_iProver_def) = sP11_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_346,c_330]) ).
cnf(c_873,plain,
multiply(sP4_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_323,c_75]) ).
cnf(c_874,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_329,c_75]) ).
cnf(c_875,plain,
multiply(sP5_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_324,c_75]) ).
cnf(c_876,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_331,c_75]) ).
cnf(c_877,plain,
multiply(sP6_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_325,c_75]) ).
cnf(c_938,plain,
( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_330]) ).
cnf(c_1012,plain,
( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_356,c_330]) ).
cnf(c_1016,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_356,c_328]) ).
cnf(c_1086,plain,
( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_330]) ).
cnf(c_1168,plain,
( sk_c7 = sP9_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_359,c_341]) ).
cnf(c_1231,plain,
( sk_c7 = sP10_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_342]) ).
cnf(c_1288,plain,
( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_330]) ).
cnf(c_1292,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_328]) ).
cnf(c_1293,plain,
( sk_c6 = sP4_iProver_def
| sP6_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_343]) ).
cnf(c_1368,plain,
( sP4_iProver_def != sP13_iProver_def
| sk_c7 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_356,c_333]) ).
cnf(c_1369,plain,
( sk_c7 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_333]) ).
cnf(c_1371,plain,
( sk_c7 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_349,c_333]) ).
cnf(c_1494,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_328,c_335]) ).
cnf(c_1495,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_330,c_335]) ).
cnf(c_1515,plain,
( sk_c7 != sP6_iProver_def
| sk_c7 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1495,c_325]) ).
cnf(c_1519,plain,
( sk_c7 != sP9_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1494,c_329]) ).
cnf(c_1729,plain,
multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_332,c_76]) ).
cnf(c_1730,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_328,c_76]) ).
cnf(c_1731,plain,
multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_327,c_76]) ).
cnf(c_1732,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_326,c_76]) ).
cnf(c_1735,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
cnf(c_1737,plain,
multiply(sP4_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_873,c_76]) ).
cnf(c_1738,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_874,c_76]) ).
cnf(c_1739,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_875,c_76]) ).
cnf(c_1740,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_876,c_76]) ).
cnf(c_1743,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1740,c_74]) ).
cnf(c_1744,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1739,c_74]) ).
cnf(c_1745,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1738,c_74]) ).
cnf(c_1746,plain,
multiply(sP4_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1737,c_74]) ).
cnf(c_1826,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_877,c_76]) ).
cnf(c_1827,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1826,c_74]) ).
cnf(c_2474,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_332,c_336]) ).
cnf(c_2475,plain,
( inverse(sk_c4) != sk_c7
| sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_326,c_336]) ).
cnf(c_2479,plain,
( inverse(sP4_iProver_def) != sk_c7
| sk_c6 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_873,c_336]) ).
cnf(c_2498,plain,
( sk_c7 != sP5_iProver_def
| sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2475,c_324]) ).
cnf(c_2502,plain,
( sk_c7 != sP12_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2474,c_331]) ).
cnf(c_2607,plain,
( inverse(sk_c3) != sk_c6
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_328,c_337]) ).
cnf(c_2608,plain,
( inverse(sk_c2) != sk_c6
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_330,c_337]) ).
cnf(c_2610,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_337]) ).
cnf(c_2630,plain,
( sk_c7 != sP11_iProver_def
| sk_c6 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2608,c_325]) ).
cnf(c_2634,plain,
( sk_c7 != sP9_iProver_def
| sk_c6 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2607,c_329]) ).
cnf(c_3191,plain,
( sP6_iProver_def = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1293,c_333]) ).
cnf(c_3405,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_332,c_1743]) ).
cnf(c_3415,plain,
multiply(sP5_iProver_def,sP7_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_326,c_1744]) ).
cnf(c_3418,plain,
multiply(sP5_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3415,c_76]) ).
cnf(c_3428,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_328,c_1745]) ).
cnf(c_3448,plain,
multiply(sP4_iProver_def,sP8_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_327,c_1746]) ).
cnf(c_3457,plain,
( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_1746]) ).
cnf(c_3458,plain,
( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_353,c_1746]) ).
cnf(c_3459,plain,
( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_1746]) ).
cnf(c_3543,plain,
( sP1_iProver_def
| sP0_iProver_def
| sP6_iProver_def = sP13_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3191,c_1168,c_1231,c_1519,c_3191]) ).
cnf(c_3544,plain,
( sP6_iProver_def = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_3543]) ).
cnf(c_3588,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_600,c_1744]) ).
cnf(c_3589,plain,
( sk_c7 = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3588,c_3415]) ).
cnf(c_3655,plain,
multiply(sP6_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_330,c_1827]) ).
cnf(c_3658,plain,
multiply(sP6_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3655,c_76]) ).
cnf(c_4052,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_615,c_1745]) ).
cnf(c_4053,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4052,c_3428]) ).
cnf(c_4155,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_635,c_1745]) ).
cnf(c_4156,plain,
( sk_c7 = sP11_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4155,c_3428]) ).
cnf(c_4185,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_659,c_1744]) ).
cnf(c_4186,plain,
( sk_c7 = sP9_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4185,c_3415]) ).
cnf(c_4215,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_672,c_1744]) ).
cnf(c_4216,plain,
( sk_c7 = sP10_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4215,c_3415]) ).
cnf(c_4265,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP12_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_726,c_1744]) ).
cnf(c_4266,plain,
( sk_c7 = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4265,c_3415]) ).
cnf(c_4352,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_761,c_1745]) ).
cnf(c_4353,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4352,c_3428]) ).
cnf(c_4844,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = sP4_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_938,c_1827]) ).
cnf(c_4845,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4844,c_3655]) ).
cnf(c_5073,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1012,c_1827]) ).
cnf(c_5074,plain,
( sk_c7 = sP5_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5073,c_3655]) ).
cnf(c_5169,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1086,c_1827]) ).
cnf(c_5170,plain,
( sk_c6 = sP8_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5169,c_3655]) ).
cnf(c_5350,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1288,c_1827]) ).
cnf(c_5351,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5350,c_3655]) ).
cnf(c_5522,plain,
multiply(sk_c1,sP8_iProver_def) = multiply(sP13_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_327,c_1729]) ).
cnf(c_6730,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1735,c_74]) ).
cnf(c_6751,plain,
multiply(inverse(sk_c3),sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_328,c_6730]) ).
cnf(c_6752,plain,
multiply(inverse(sk_c7),sP8_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_327,c_6730]) ).
cnf(c_6754,plain,
multiply(inverse(sk_c2),sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_330,c_6730]) ).
cnf(c_6755,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_6730]) ).
cnf(c_6756,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_6730]) ).
cnf(c_6769,plain,
( multiply(inverse(sk_c7),sP8_iProver_def) = sP7_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_604,c_6730]) ).
cnf(c_6789,plain,
( multiply(inverse(sk_c2),sP11_iProver_def) = sP8_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_828,c_6730]) ).
cnf(c_6793,plain,
( multiply(inverse(sk_c2),sP11_iProver_def) = sP4_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_827,c_6730]) ).
cnf(c_6824,plain,
( multiply(inverse(sk_c3),sP9_iProver_def) = sP13_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1292,c_6730]) ).
cnf(c_6828,plain,
( multiply(inverse(sk_c3),sP9_iProver_def) = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1016,c_6730]) ).
cnf(c_6835,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_1746,c_6730]) ).
cnf(c_6836,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1745,c_6730]) ).
cnf(c_6837,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1744,c_6730]) ).
cnf(c_6838,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1743,c_6730]) ).
cnf(c_6872,plain,
multiply(inverse(sP6_iProver_def),sk_c6) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_3655,c_6730]) ).
cnf(c_6877,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6730,c_6730]) ).
cnf(c_7302,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_6756,c_6877]) ).
cnf(c_7311,plain,
multiply(sk_c4,sk_c7) = multiply(sP7_iProver_def,identity),
inference(superposition,[status(thm)],[c_7302,c_1732]) ).
cnf(c_7312,plain,
multiply(sk_c1,sk_c7) = multiply(sP13_iProver_def,identity),
inference(superposition,[status(thm)],[c_7302,c_1729]) ).
cnf(c_7316,plain,
multiply(sk_c3,sk_c6) = multiply(sP9_iProver_def,identity),
inference(superposition,[status(thm)],[c_7302,c_1730]) ).
cnf(c_7318,plain,
multiply(sk_c7,sk_c5) = multiply(sP8_iProver_def,identity),
inference(superposition,[status(thm)],[c_7302,c_1731]) ).
cnf(c_7319,plain,
multiply(sk_c7,identity) = multiply(sP5_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_7302,c_3418]) ).
cnf(c_7320,plain,
multiply(sk_c6,identity) = multiply(sP6_iProver_def,sP11_iProver_def),
inference(superposition,[status(thm)],[c_7302,c_3658]) ).
cnf(c_7325,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7302,c_6755]) ).
cnf(c_7326,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_7320,c_3655]) ).
cnf(c_7328,plain,
multiply(sP8_iProver_def,identity) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_7318,c_327]) ).
cnf(c_7330,plain,
multiply(sP9_iProver_def,identity) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_7316,c_328]) ).
cnf(c_7333,plain,
multiply(sP13_iProver_def,identity) = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_7312,c_332]) ).
cnf(c_7334,plain,
multiply(sP7_iProver_def,identity) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_7311,c_326]) ).
cnf(c_7388,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_7325,c_75]) ).
cnf(c_7408,plain,
( sk_c7 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1515,c_1519,c_1515,c_4186,c_4216]) ).
cnf(c_7431,plain,
( sP6_iProver_def != sP11_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_348,c_7408]) ).
cnf(c_7432,plain,
( sP6_iProver_def != sP11_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_347,c_7408]) ).
cnf(c_7495,plain,
( ~ sP2_iProver_def
| sP6_iProver_def != sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7431,c_1519,c_7432,c_7431]) ).
cnf(c_7496,plain,
( sP6_iProver_def != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_7495]) ).
cnf(c_7622,plain,
( sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2498,c_2502,c_2498,c_4266,c_5074]) ).
cnf(c_7643,plain,
( sP7_iProver_def != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_7622]) ).
cnf(c_7646,plain,
( sP7_iProver_def != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_7622]) ).
cnf(c_7647,plain,
( sP7_iProver_def != sP13_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_356,c_7622]) ).
cnf(c_7807,plain,
( ~ sP1_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7643,c_2502,c_4845,c_5351]) ).
cnf(c_7826,plain,
( ~ sP1_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7646,c_2502,c_4353,c_5170]) ).
cnf(c_7832,plain,
( ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7647,c_2502,c_4266,c_5074]) ).
cnf(c_7879,plain,
( multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c6
| inverse(inverse(sP4_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_6835,c_334]) ).
cnf(c_7881,plain,
multiply(sk_c7,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6835,c_75]) ).
cnf(c_7886,plain,
multiply(sk_c7,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_6835,c_6730]) ).
cnf(c_7887,plain,
multiply(sk_c7,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_6835,c_7302]) ).
cnf(c_7967,plain,
( multiply(sP11_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_7881]) ).
cnf(c_7971,plain,
multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_7881,c_1729]) ).
cnf(c_8067,plain,
inverse(sP4_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_7887,c_7302]) ).
cnf(c_8111,plain,
( inverse(sP4_iProver_def) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7886,c_334]) ).
cnf(c_8171,plain,
( sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_8111,c_8067]) ).
cnf(c_8500,plain,
( multiply(sk_c6,sP4_iProver_def) = multiply(sP6_iProver_def,identity)
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_7967,c_3658]) ).
cnf(c_8600,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_2630]) ).
cnf(c_8601,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_341,c_2630]) ).
cnf(c_8603,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_338,c_2630]) ).
cnf(c_8796,plain,
( ~ sP0_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8600,c_4216,c_8600]) ).
cnf(c_8915,plain,
multiply(sP13_iProver_def,sP4_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_7971,c_7302]) ).
cnf(c_8919,plain,
multiply(inverse(sP13_iProver_def),sk_c1) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_8915,c_6730]) ).
cnf(c_8942,plain,
( ~ sP0_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8601,c_4186,c_8601]) ).
cnf(c_8948,plain,
( ~ sP0_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8603,c_3589,c_8603]) ).
cnf(c_9752,plain,
multiply(inverse(sP13_iProver_def),multiply(sk_c1,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_8919,c_76]) ).
cnf(c_9765,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_6836,c_334]) ).
cnf(c_9766,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_6836,c_336]) ).
cnf(c_9767,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6836,c_75]) ).
cnf(c_9771,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_6836,c_335]) ).
cnf(c_9773,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_6836,c_7302]) ).
cnf(c_10348,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_9773,c_7302]) ).
cnf(c_10729,plain,
multiply(inverse(sP13_iProver_def),sP13_iProver_def) = multiply(sP4_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_332,c_9752]) ).
cnf(c_10745,plain,
multiply(inverse(sP13_iProver_def),multiply(sP13_iProver_def,sk_c5)) = multiply(sP4_iProver_def,sP8_iProver_def),
inference(superposition,[status(thm)],[c_5522,c_9752]) ).
cnf(c_10746,plain,
multiply(inverse(sP13_iProver_def),sk_c1) = multiply(sP4_iProver_def,identity),
inference(superposition,[status(thm)],[c_7302,c_9752]) ).
cnf(c_10750,plain,
multiply(inverse(sP13_iProver_def),sP13_iProver_def) = identity,
inference(light_normalisation,[status(thm)],[c_10729,c_873]) ).
cnf(c_10751,plain,
multiply(inverse(sP13_iProver_def),multiply(sP13_iProver_def,sk_c5)) = sk_c5,
inference(light_normalisation,[status(thm)],[c_10745,c_3448]) ).
cnf(c_10803,plain,
( sk_c6 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2634,c_2634,c_8942]) ).
cnf(c_10828,plain,
( sP10_iProver_def != sP13_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_10803]) ).
cnf(c_10881,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6837,c_75]) ).
cnf(c_11020,plain,
( ~ sP0_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10828,c_2630,c_4053,c_4156]) ).
cnf(c_11563,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6838,c_75]) ).
cnf(c_11567,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(inverse(sP12_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_6838,c_335]) ).
cnf(c_11569,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_6838,c_7302]) ).
cnf(c_11715,plain,
( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3405,c_3457]) ).
cnf(c_11752,plain,
( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3405,c_3458]) ).
cnf(c_11787,plain,
( multiply(sP4_iProver_def,identity) = sk_c1
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_876,c_3459]) ).
cnf(c_11789,plain,
( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3405,c_3459]) ).
cnf(c_11924,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11789,c_11787,c_11752,c_11715,c_11567,c_11569,c_11563,c_11020,c_10881,c_10803,c_10751,c_10750,c_10746,c_10745,c_10729,c_10348,c_9771,c_9766,c_9765,c_9767,c_8948,c_8919,c_8915,c_8796,c_8500,c_8171,c_8067,c_7971,c_7879,c_7887,c_7881,c_7832,c_7826,c_7807,c_7496,c_7334,c_7333,c_7330,c_7328,c_7326,c_7320,c_7319,c_7318,c_7316,c_7312,c_7311,c_7325,c_6872,c_6828,c_6824,c_6793,c_6789,c_6769,c_6754,c_6752,c_6751,c_4845,c_4266,c_4216,c_4186,c_3589,c_3544,c_2630,c_2610,c_2479,c_1519,c_1371,c_1369,c_1368,c_7388,c_604,c_343,c_342,c_341,c_340,c_339,c_338,c_333,c_331,c_329,c_323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 08:00:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.14/1.17 % SZS status Started for theBenchmark.p
% 4.14/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.17
% 4.14/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.17
% 4.14/1.17 ------ iProver source info
% 4.14/1.17
% 4.14/1.17 git: date: 2024-06-12 09:56:46 +0000
% 4.14/1.17 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.14/1.17 git: non_committed_changes: false
% 4.14/1.17
% 4.14/1.17 ------ Parsing...successful
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.14/1.17
% 4.14/1.17 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.14/1.17
% 4.14/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.14/1.17 ------ Proving...
% 4.14/1.17 ------ Problem Properties
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17 clauses 42
% 4.14/1.17 conjectures 29
% 4.14/1.17 EPR 25
% 4.14/1.17 Horn 17
% 4.14/1.17 unary 13
% 4.14/1.17 binary 24
% 4.14/1.17 lits 78
% 4.14/1.17 lits eq 70
% 4.14/1.17 fd_pure 0
% 4.14/1.17 fd_pseudo 0
% 4.14/1.17 fd_cond 0
% 4.14/1.17 fd_pseudo_cond 0
% 4.14/1.17 AC symbols 0
% 4.14/1.17
% 4.14/1.17 ------ Schedule dynamic 5 is on
% 4.14/1.17
% 4.14/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17 ------
% 4.14/1.17 Current options:
% 4.14/1.17 ------
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17 ------ Proving...
% 4.14/1.17
% 4.14/1.17
% 4.14/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.17
% 4.14/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.17
% 4.14/1.17
%------------------------------------------------------------------------------