TSTP Solution File: GRP330-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP330-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 00:59:22 EDT 2023
% Result : Unsatisfiable 8.19s 1.67s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of clauses : 132 ( 31 unt; 49 nHn; 115 RR)
% Number of literals : 326 ( 267 equ; 161 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 87 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c10
| inverse(X5) != sk_c9
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c10
| inverse(X3) != sk_c9
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c10
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_103]) ).
cnf(c_572,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_103]) ).
cnf(c_573,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_574,plain,
X0 = X0,
theory(equality) ).
cnf(c_575,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_576,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_1200,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1364,plain,
( multiply(sk_c10,sk_c11) != X0
| X1 != X0
| multiply(sk_c10,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1369,plain,
( multiply(sk_c10,sk_c11) != X0
| sk_c9 != X0
| sk_c9 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1394,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1395,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1479,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_1527,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_1528,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1533,plain,
( multiply(sk_c10,sk_c11) != X0
| X1 != X0
| X1 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1546,plain,
( inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(superposition,[status(thm)],[c_85,c_569]) ).
cnf(c_1552,plain,
( inverse(identity) != sk_c9
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_569]) ).
cnf(c_1583,plain,
( multiply(sk_c10,sk_c11) != multiply(X0,sk_c11)
| X1 != multiply(X0,sk_c11)
| multiply(sk_c10,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_1364]) ).
cnf(c_1589,plain,
( X0 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_1395]) ).
cnf(c_1599,plain,
( X0 != X1
| X2 != sk_c11
| multiply(X0,X2) = multiply(X1,sk_c11) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_1610,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(superposition,[status(thm)],[c_51,c_570]) ).
cnf(c_1622,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_570]) ).
cnf(c_1703,plain,
( multiply(identity,sk_c11) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_1704,plain,
multiply(identity,sk_c11) = sk_c11,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1706,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1737,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c11
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_571]) ).
cnf(c_2001,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1200,c_100]) ).
cnf(c_2052,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_2001]) ).
cnf(c_2053,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_2001]) ).
cnf(c_2054,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_2001]) ).
cnf(c_2066,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2001,c_2001]) ).
cnf(c_2242,plain,
( X0 != X1
| sk_c11 != sk_c11
| multiply(X0,sk_c11) = multiply(X1,sk_c11) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_2248,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
| sk_c11 != multiply(identity,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1583]) ).
cnf(c_2258,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2403,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2053,c_2066]) ).
cnf(c_2412,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2403,c_2052]) ).
cnf(c_2447,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2066,c_101]) ).
cnf(c_2452,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2066,c_2403]) ).
cnf(c_2453,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2452,c_2403]) ).
cnf(c_2492,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_572,c_2447]) ).
cnf(c_3141,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_90,c_2447]) ).
cnf(c_3143,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_92,c_2447]) ).
cnf(c_3146,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_74,c_2447]) ).
cnf(c_3410,plain,
( multiply(sk_c10,sk_c11) != sk_c11
| X0 != sk_c11
| X0 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1533]) ).
cnf(c_3414,plain,
( multiply(sk_c10,sk_c11) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_3410]) ).
cnf(c_3523,plain,
( inverse(sk_c2) = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3141,c_89]) ).
cnf(c_3561,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3523,c_2447]) ).
cnf(c_3657,plain,
( inverse(sk_c2) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3143,c_91]) ).
cnf(c_3708,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3657,c_2447]) ).
cnf(c_3762,plain,
( X0 != identity
| sk_c11 != sk_c11
| multiply(X0,sk_c11) = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_2242]) ).
cnf(c_3764,plain,
( sk_c10 != identity
| sk_c11 != sk_c11
| multiply(sk_c10,sk_c11) = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_3762]) ).
cnf(c_4009,plain,
( inverse(sk_c1) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3146,c_73]) ).
cnf(c_4039,plain,
( multiply(sk_c1,sk_c10) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4009,c_2447]) ).
cnf(c_4040,plain,
( inverse(sk_c10) = sk_c1
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4009,c_2453]) ).
cnf(c_4531,plain,
( X0 != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2258]) ).
cnf(c_4532,plain,
( sk_c10 != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_4531]) ).
cnf(c_8647,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3561,c_80]) ).
cnf(c_8767,plain,
( multiply(sk_c3,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_8647,c_2447]) ).
cnf(c_9209,plain,
( sk_c10 != sk_c9
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1552,c_2412]) ).
cnf(c_9228,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1622,c_2412]) ).
cnf(c_9595,plain,
( sk_c10 != sk_c11
| sk_c10 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1737,c_2412]) ).
cnf(c_10017,plain,
( inverse(sk_c2) != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3708,c_569]) ).
cnf(c_10810,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4039,c_64]) ).
cnf(c_10901,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_10810,c_2447]) ).
cnf(c_14760,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2447,c_2054]) ).
cnf(c_14904,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_14760,c_2403]) ).
cnf(c_16982,plain,
( X0 != identity
| sk_c11 != identity
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_16987,plain,
( sk_c10 != identity
| sk_c11 != identity
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_16982]) ).
cnf(c_21376,plain,
( multiply(sk_c2,sk_c9) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_8767,c_79]) ).
cnf(c_21431,plain,
( multiply(sk_c1,sk_c10) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_10901,c_63]) ).
cnf(c_21473,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_21376,c_3561]) ).
cnf(c_21479,plain,
( sk_c10 != sk_c11
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9595,c_21473]) ).
cnf(c_21480,plain,
( sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9228,c_21473]) ).
cnf(c_21543,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_9209,c_21473]) ).
cnf(c_21596,plain,
( inverse(identity) = sk_c1
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_4040,c_21473]) ).
cnf(c_21628,plain,
( multiply(identity,sk_c11) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_573,c_21473]) ).
cnf(c_21646,plain,
( multiply(sk_c4,identity) = sk_c9
| multiply(identity,sk_c11) = sk_c9 ),
inference(demodulation,[status(thm)],[c_51,c_21473]) ).
cnf(c_21668,plain,
( multiply(identity,sk_c11) = sk_c9
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_52,c_21473]) ).
cnf(c_21852,plain,
( sk_c11 = identity
| sk_c1 = identity ),
inference(light_normalisation,[status(thm)],[c_21596,c_2412]) ).
cnf(c_22141,plain,
( multiply(sk_c1,identity) = sk_c11
| sk_c11 = identity ),
inference(light_normalisation,[status(thm)],[c_21431,c_21473]) ).
cnf(c_22142,plain,
( sk_c11 = sk_c1
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_22141,c_2403]) ).
cnf(c_22247,plain,
( inverse(inverse(sk_c11)) != sk_c11
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1479,c_1479,c_21473]) ).
cnf(c_22249,plain,
( sk_c11 != sk_c11
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_22247,c_2453]) ).
cnf(c_22250,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_22249]) ).
cnf(c_22265,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_1546,c_3657,c_10017,c_21473,c_21543]) ).
cnf(c_22284,plain,
( sk_c11 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_21479,c_21473]) ).
cnf(c_23740,plain,
( inverse(sk_c4) = identity
| sk_c11 = sk_c9 ),
inference(demodulation,[status(thm)],[c_21668,c_100]) ).
cnf(c_23748,plain,
( inverse(identity) = sk_c4
| sk_c11 = sk_c9 ),
inference(superposition,[status(thm)],[c_23740,c_2453]) ).
cnf(c_23751,plain,
( sk_c11 = sk_c9
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_23748,c_2412]) ).
cnf(c_23833,plain,
( sP0_iProver_split
| multiply(identity,sk_c11) != sk_c9
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_21628,c_21628,c_22265]) ).
cnf(c_23834,plain,
( multiply(identity,sk_c11) != sk_c9
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(renaming,[status(thm)],[c_23833]) ).
cnf(c_23835,plain,
( sk_c11 != sk_c9
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_23834,c_100]) ).
cnf(c_23836,plain,
( sk_c11 != sk_c9
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_23835,c_22250]) ).
cnf(c_24865,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_21852,c_22142]) ).
cnf(c_24866,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_22284,c_24865]) ).
cnf(c_24884,plain,
( sk_c9 != identity
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_23836,c_24865]) ).
cnf(c_24984,plain,
( sk_c9 != identity
| sP2_iProver_split
| sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_24884,c_24866]) ).
cnf(c_25038,plain,
( multiply(sk_c4,identity) = sk_c9
| multiply(identity,identity) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_21646,c_24865]) ).
cnf(c_25039,plain,
( sk_c9 = sk_c4
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_25038,c_100,c_2403]) ).
cnf(c_25053,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_1610,c_52,c_1394,c_1527,c_1528,c_1610,c_1703,c_1704,c_2248,c_3414,c_3764,c_4532,c_16987,c_21473,c_21480,c_24865]) ).
cnf(c_25143,plain,
( sk_c9 != identity
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_24984,c_24984,c_25053]) ).
cnf(c_25741,plain,
( sk_c9 = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_23751,c_24865]) ).
cnf(c_25749,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_25741,c_25039]) ).
cnf(c_25752,plain,
sP4_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_25143,c_25749]) ).
cnf(c_30063,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_2001,c_14904]) ).
cnf(c_35992,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_2492,c_2492,c_24865,c_25752]) ).
cnf(c_35995,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),identity) != identity ),
inference(light_normalisation,[status(thm)],[c_35992,c_21473,c_24865]) ).
cnf(c_35996,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(demodulation,[status(thm)],[c_35995,c_2403,c_2453,c_30063]) ).
cnf(c_36006,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_2447,c_35996]) ).
cnf(c_36100,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_36006,c_2447]) ).
cnf(c_36101,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2412,c_36100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP330-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.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 : Tue Aug 29 01:31:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.19/1.67 % SZS status Started for theBenchmark.p
% 8.19/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.19/1.67
% 8.19/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.19/1.67
% 8.19/1.67 ------ iProver source info
% 8.19/1.67
% 8.19/1.67 git: date: 2023-05-31 18:12:56 +0000
% 8.19/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.19/1.67 git: non_committed_changes: false
% 8.19/1.67 git: last_make_outside_of_git: false
% 8.19/1.67
% 8.19/1.67 ------ Parsing...successful
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.19/1.67
% 8.19/1.67 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.19/1.67
% 8.19/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.19/1.67 ------ Proving...
% 8.19/1.67 ------ Problem Properties
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67 clauses 59
% 8.19/1.67 conjectures 56
% 8.19/1.67 EPR 0
% 8.19/1.67 Horn 8
% 8.19/1.67 unary 3
% 8.19/1.67 binary 50
% 8.19/1.67 lits 126
% 8.19/1.67 lits eq 116
% 8.19/1.67 fd_pure 0
% 8.19/1.67 fd_pseudo 0
% 8.19/1.67 fd_cond 0
% 8.19/1.67 fd_pseudo_cond 0
% 8.19/1.67 AC symbols 0
% 8.19/1.67
% 8.19/1.67 ------ Schedule dynamic 5 is on
% 8.19/1.67
% 8.19/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67 ------
% 8.19/1.67 Current options:
% 8.19/1.67 ------
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67 ------ Proving...
% 8.19/1.67
% 8.19/1.67
% 8.19/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.19/1.67
% 8.19/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.19/1.67
% 8.19/1.67
%------------------------------------------------------------------------------