TSTP Solution File: GRP329-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Thu Aug 31 00:59:21 EDT 2023
% Result : Unsatisfiable 4.03s 1.03s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of clauses : 124 ( 28 unt; 58 nHn; 110 RR)
% Number of literals : 279 ( 255 equ; 114 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_91,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| multiply(X1,sk_c9) != X2
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c9,X2) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c9) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_95]) ).
cnf(c_493,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_95]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_95]) ).
cnf(c_495,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_95]) ).
cnf(c_496,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_497,plain,
X0 = X0,
theory(equality) ).
cnf(c_498,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_977,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_492]) ).
cnf(c_1065,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_493]) ).
cnf(c_1148,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_494]) ).
cnf(c_1203,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_1204,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1203]) ).
cnf(c_1205,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_497]) ).
cnf(c_1213,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1204]) ).
cnf(c_1214,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1216,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_1313,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1203]) ).
cnf(c_1325,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_1378,plain,
( multiply(identity,multiply(identity,sk_c7)) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1313]) ).
cnf(c_1379,plain,
multiply(identity,multiply(identity,sk_c7)) = multiply(identity,sk_c7),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1439,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_1619,plain,
( X0 != multiply(identity,multiply(identity,sk_c7))
| sk_c7 != multiply(identity,multiply(identity,sk_c7))
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_1623,plain,
( multiply(identity,multiply(identity,sk_c7)) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(identity,multiply(identity,sk_c7)) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1325]) ).
cnf(c_1646,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_497]) ).
cnf(c_1669,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| X1 != X0
| X1 = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_1676,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1439,c_92]) ).
cnf(c_1710,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_1676]) ).
cnf(c_1719,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_1676]) ).
cnf(c_1720,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_1676]) ).
cnf(c_1730,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1676,c_1676]) ).
cnf(c_1887,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_2003,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1720,c_1730]) ).
cnf(c_2011,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2003,c_1719]) ).
cnf(c_2280,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1730,c_93]) ).
cnf(c_2285,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1730,c_1676]) ).
cnf(c_2286,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1730,c_2003]) ).
cnf(c_2287,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2286,c_2003]) ).
cnf(c_2318,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_2287]) ).
cnf(c_2601,plain,
( multiply(sk_c4,sk_c8) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_86,c_2280]) ).
cnf(c_2604,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_2280]) ).
cnf(c_2718,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c9
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_2285,c_495]) ).
cnf(c_2747,plain,
( sk_c8 != sk_c9
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2718,c_2287]) ).
cnf(c_2951,plain,
( inverse(sk_c2) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2601,c_85]) ).
cnf(c_2972,plain,
( inverse(sk_c9) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2951,c_2287]) ).
cnf(c_3019,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| X1 != X0
| multiply(identity,multiply(identity,sk_c7)) = X1 ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_3155,plain,
( inverse(sk_c1) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2604,c_66]) ).
cnf(c_3183,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3155,c_2280]) ).
cnf(c_3184,plain,
( inverse(sk_c8) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3155,c_2287]) ).
cnf(c_3542,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1887]) ).
cnf(c_3543,plain,
( sk_c8 != identity
| identity != identity
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_3542]) ).
cnf(c_5113,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_1710]) ).
cnf(c_5154,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5113,c_49]) ).
cnf(c_5218,plain,
( inverse(sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_5154,c_2287]) ).
cnf(c_5742,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c7
| X0 != sk_c7
| multiply(identity,multiply(identity,sk_c7)) = X0 ),
inference(instantiation,[status(thm)],[c_3019]) ).
cnf(c_5743,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c7
| sk_c8 != sk_c7
| multiply(identity,multiply(identity,sk_c7)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_5742]) ).
cnf(c_7299,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3183,c_60]) ).
cnf(c_7350,plain,
( inverse(sk_c8) = sk_c5
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_7299,c_2287]) ).
cnf(c_7439,plain,
( multiply(identity,multiply(identity,sk_c7)) != X0
| identity != X0
| identity = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1669]) ).
cnf(c_7448,plain,
( multiply(identity,multiply(identity,sk_c7)) != sk_c8
| identity != sk_c8
| identity = multiply(identity,multiply(identity,sk_c7)) ),
inference(instantiation,[status(thm)],[c_7439]) ).
cnf(c_7854,plain,
( sk_c9 = identity
| sk_c5 = sk_c1 ),
inference(superposition,[status(thm)],[c_7350,c_3184]) ).
cnf(c_8077,plain,
( sk_c7 != multiply(identity,multiply(identity,sk_c7))
| identity != multiply(identity,multiply(identity,sk_c7))
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_1619]) ).
cnf(c_8370,plain,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_7854,c_59]) ).
cnf(c_8569,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_8370,c_3183]) ).
cnf(c_8630,plain,
( inverse(identity) = sk_c2
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_2972,c_8569]) ).
cnf(c_8637,plain,
( sk_c8 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_2747,c_8569]) ).
cnf(c_8647,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_496,c_8569]) ).
cnf(c_8653,plain,
( multiply(sk_c6,identity) = sk_c7
| multiply(sk_c2,identity) = sk_c3 ),
inference(demodulation,[status(thm)],[c_82,c_8569]) ).
cnf(c_8656,plain,
( multiply(sk_c6,identity) = sk_c7
| multiply(identity,sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_8569]) ).
cnf(c_8663,plain,
( multiply(sk_c8,identity) = sk_c7
| multiply(sk_c6,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_54,c_8569]) ).
cnf(c_8669,plain,
( multiply(sk_c2,identity) = sk_c3
| inverse(sk_c6) = identity ),
inference(demodulation,[status(thm)],[c_83,c_8569]) ).
cnf(c_8674,plain,
( multiply(identity,sk_c3) = sk_c8
| inverse(sk_c6) = identity ),
inference(demodulation,[status(thm)],[c_76,c_8569]) ).
cnf(c_8684,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c6) = identity ),
inference(demodulation,[status(thm)],[c_55,c_8569]) ).
cnf(c_8826,plain,
( sk_c7 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_8630,c_2011]) ).
cnf(c_9104,plain,
( sk_c7 != identity
| identity != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1148,c_2011,c_8569]) ).
cnf(c_9105,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_9104]) ).
cnf(c_9152,plain,
( inverse(sk_c6) = identity
| sk_c3 = sk_c2 ),
inference(demodulation,[status(thm)],[c_8669,c_2003]) ).
cnf(c_9159,plain,
( inverse(identity) = sk_c6
| sk_c3 = sk_c2 ),
inference(superposition,[status(thm)],[c_9152,c_2287]) ).
cnf(c_9162,plain,
( sk_c6 = identity
| sk_c3 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_9159,c_2011]) ).
cnf(c_9268,plain,
( inverse(sk_c6) = identity
| sk_c8 = sk_c3 ),
inference(demodulation,[status(thm)],[c_8674,c_92]) ).
cnf(c_9275,plain,
( inverse(identity) = sk_c6
| sk_c8 = sk_c3 ),
inference(superposition,[status(thm)],[c_9268,c_2287]) ).
cnf(c_9278,plain,
( sk_c8 = sk_c3
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_9275,c_2011]) ).
cnf(c_9812,plain,
( inverse(sk_c6) = identity
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_8684,c_2003]) ).
cnf(c_9819,plain,
( inverse(identity) = sk_c6
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_9812,c_2287]) ).
cnf(c_9822,plain,
( sk_c8 = sk_c7
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_9819,c_2011]) ).
cnf(c_10123,plain,
( sk_c7 = sk_c6
| sk_c3 = sk_c2 ),
inference(demodulation,[status(thm)],[c_8653,c_2003]) ).
cnf(c_10188,plain,
( sk_c8 = sk_c3
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_8656,c_92,c_2003]) ).
cnf(c_10350,plain,
( sk_c7 = identity
| sk_c3 = sk_c2 ),
inference(superposition,[status(thm)],[c_9162,c_10123]) ).
cnf(c_10366,plain,
( sk_c8 = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9278,c_10188]) ).
cnf(c_10395,plain,
( sk_c7 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_8826,c_10350]) ).
cnf(c_10449,plain,
( sk_c7 != sk_c7
| identity != sk_c7
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_1204]) ).
cnf(c_10464,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_8663,c_2003]) ).
cnf(c_10473,plain,
( sk_c8 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10464,c_9822]) ).
cnf(c_10637,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10366,c_10395]) ).
cnf(c_10641,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_10473,c_1205,c_1213,c_1214,c_1378,c_1379,c_1623,c_1646,c_3543,c_5743,c_7448,c_8077,c_10449,c_10473,c_10637]) ).
cnf(c_10668,plain,
( identity != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_9105,c_10641]) ).
cnf(c_10674,plain,
( inverse(identity) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_5218,c_10641]) ).
cnf(c_10692,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_10668]) ).
cnf(c_10699,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_10674,c_2011]) ).
cnf(c_10731,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8637,c_10699]) ).
cnf(c_12130,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(sk_c8) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_8647,c_977,c_1065,c_2318,c_8569,c_8647,c_10641,c_10731,c_10692]) ).
cnf(c_12132,plain,
( multiply(identity,identity) != identity
| identity != identity ),
inference(light_normalisation,[status(thm)],[c_12130,c_2011,c_10641,c_10699]) ).
cnf(c_12133,plain,
multiply(identity,identity) != identity,
inference(equality_resolution_simp,[status(thm)],[c_12132]) ).
cnf(c_12134,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_12133,c_92]) ).
cnf(c_12135,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_12134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 19:39:01 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.03/1.03 % SZS status Started for theBenchmark.p
% 4.03/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.03
% 4.03/1.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.03/1.03
% 4.03/1.03 ------ iProver source info
% 4.03/1.03
% 4.03/1.03 git: date: 2023-05-31 18:12:56 +0000
% 4.03/1.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.03/1.03 git: non_committed_changes: false
% 4.03/1.03 git: last_make_outside_of_git: false
% 4.03/1.03
% 4.03/1.03 ------ Parsing...successful
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.03/1.03
% 4.03/1.03 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.03/1.03
% 4.03/1.03 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.03/1.03 ------ Proving...
% 4.03/1.03 ------ Problem Properties
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03 clauses 50
% 4.03/1.03 conjectures 47
% 4.03/1.03 EPR 0
% 4.03/1.03 Horn 7
% 4.03/1.03 unary 3
% 4.03/1.03 binary 42
% 4.03/1.03 lits 105
% 4.03/1.03 lits eq 97
% 4.03/1.03 fd_pure 0
% 4.03/1.03 fd_pseudo 0
% 4.03/1.03 fd_cond 0
% 4.03/1.03 fd_pseudo_cond 0
% 4.03/1.03 AC symbols 0
% 4.03/1.03
% 4.03/1.03 ------ Schedule dynamic 5 is on
% 4.03/1.03
% 4.03/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03 ------
% 4.03/1.03 Current options:
% 4.03/1.03 ------
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03 ------ Proving...
% 4.03/1.03
% 4.03/1.03
% 4.03/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.03
% 4.03/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.03
% 4.03/1.04
%------------------------------------------------------------------------------