TSTP Solution File: GRP258-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP258-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 00:58:58 EDT 2023
% Result : Unsatisfiable 9.85s 2.18s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of clauses : 119 ( 26 unt; 61 nHn; 97 RR)
% Number of literals : 289 ( 243 equ; 128 neg)
% Maximal clause size : 17 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 83 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_102,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
cnf(c_104,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_112,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
cnf(c_113,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
cnf(c_114,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
cnf(c_119,negated_conjecture,
( multiply(X0,X1) != sk_c12
| multiply(X2,X1) != X3
| multiply(X1,sk_c11) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c10) != sk_c12
| multiply(X7,sk_c12) != sk_c11
| multiply(X8,sk_c11) != sk_c10
| multiply(sk_c10,sk_c12) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c10
| inverse(X7) != sk_c12
| inverse(X8) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
cnf(c_120,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_121,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_122,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_123,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c12
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c10) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c10
| multiply(sk_c10,sk_c12) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c10
| inverse(X5) != sk_c12
| inverse(X6) != sk_c11 ),
inference(unflattening,[status(thm)],[c_119]) ).
cnf(c_756,negated_conjecture,
( multiply(X0,sk_c10) != sk_c12
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_123]) ).
cnf(c_757,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_123]) ).
cnf(c_758,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_123]) ).
cnf(c_759,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c12
| multiply(inverse(X0),sk_c11) != sk_c12
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_123]) ).
cnf(c_760,negated_conjecture,
( multiply(sk_c10,sk_c12) != sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_123]) ).
cnf(c_1565,plain,
( inverse(sk_c3) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c11 ),
inference(superposition,[status(thm)],[c_102,c_756]) ).
cnf(c_1567,plain,
( inverse(identity) != sk_c10
| sk_c12 != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_120,c_756]) ).
cnf(c_1604,plain,
( inverse(sk_c1) != sk_c12
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c12 ),
inference(superposition,[status(thm)],[c_50,c_757]) ).
cnf(c_1610,plain,
( inverse(sk_c4) != sk_c12
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_59,c_757]) ).
cnf(c_1611,plain,
( inverse(sk_c4) != sk_c12
| ~ sP1_iProver_split
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(superposition,[status(thm)],[c_49,c_757]) ).
cnf(c_1687,plain,
( inverse(sk_c5) != sk_c11
| ~ sP2_iProver_split
| multiply(sk_c2,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_71,c_758]) ).
cnf(c_1690,plain,
( inverse(sk_c5) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_81,c_758]) ).
cnf(c_1700,plain,
( inverse(sk_c2) != sk_c11
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c11 ),
inference(superposition,[status(thm)],[c_72,c_758]) ).
cnf(c_2023,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_121,c_122]) ).
cnf(c_2041,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| multiply(X2,inverse(X2)) != sk_c12
| multiply(inverse(X2),sk_c11) != sk_c12
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_122,c_759]) ).
cnf(c_2433,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2023,c_120]) ).
cnf(c_2504,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_120,c_2433]) ).
cnf(c_2505,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_121,c_2433]) ).
cnf(c_2506,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_122,c_2433]) ).
cnf(c_2522,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2433,c_2433]) ).
cnf(c_2693,plain,
( multiply(sk_c1,sk_c12) != sk_c11
| inverse(sk_c1) != sk_c12
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_757]) ).
cnf(c_2872,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2505,c_2522]) ).
cnf(c_2879,plain,
multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2872,c_122]) ).
cnf(c_2880,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2872,c_2504]) ).
cnf(c_3299,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_2522,c_122]) ).
cnf(c_3300,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2522,c_121]) ).
cnf(c_3305,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2522,c_2872]) ).
cnf(c_3306,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3305,c_2872]) ).
cnf(c_3589,plain,
( inverse(sk_c5) = sk_c11
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_760]) ).
cnf(c_3765,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_60,c_3300]) ).
cnf(c_3767,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_82,c_3300]) ).
cnf(c_3769,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_114,c_3300]) ).
cnf(c_3783,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_3300,c_122]) ).
cnf(c_3847,plain,
( inverse(sk_c5) = sk_c11
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_3589,c_112,c_82,c_60,c_92,c_760,c_1565,c_1610,c_1604,c_1611,c_1700,c_2693]) ).
cnf(c_5022,plain,
( inverse(sk_c1) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3765,c_59]) ).
cnf(c_5049,plain,
( multiply(sk_c1,sk_c12) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_5022,c_3300]) ).
cnf(c_5050,plain,
( inverse(sk_c12) = sk_c1
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_5022,c_3306]) ).
cnf(c_5302,plain,
( inverse(sk_c2) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3767,c_81]) ).
cnf(c_5322,plain,
( inverse(sk_c11) = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5302,c_3306]) ).
cnf(c_5609,plain,
( inverse(sk_c3) = sk_c10
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3769,c_113]) ).
cnf(c_5625,plain,
( inverse(sk_c10) = sk_c3
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_5609,c_3306]) ).
cnf(c_6896,plain,
( multiply(sk_c6,multiply(sk_c9,inverse(sk_c12))) = identity
| multiply(sk_c10,sk_c12) = sk_c11 ),
inference(superposition,[status(thm)],[c_93,c_3783]) ).
cnf(c_9709,plain,
( multiply(sk_c2,sk_c11) != sk_c10
| inverse(sk_c2) != sk_c11
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_11731,plain,
( sk_c12 != sk_c10
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1567,c_2880]) ).
cnf(c_11780,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_1604,c_60,c_1610,c_1604,c_1611,c_2693]) ).
cnf(c_11782,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_11780,c_1610,c_1611,c_2693,c_11780]) ).
cnf(c_11784,plain,
( multiply(sk_c10,sk_c12) != sk_c11
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_760,c_11782]) ).
cnf(c_11793,plain,
( sP0_iProver_split
| multiply(sk_c10,sk_c12) != sk_c11
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_11784,c_760,c_1690,c_1687,c_3847,c_9709,c_11782]) ).
cnf(c_11794,plain,
( multiply(sk_c10,sk_c12) != sk_c11
| sP0_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_11793]) ).
cnf(c_12985,plain,
( inverse(sk_c4) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_5049,c_50]) ).
cnf(c_13092,plain,
( inverse(sk_c12) = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12985,c_3306]) ).
cnf(c_14450,plain,
( sk_c1 = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_13092,c_5050]) ).
cnf(c_14508,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_14450,c_49]) ).
cnf(c_14562,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_14508,c_5049]) ).
cnf(c_14592,plain,
( multiply(sk_c10,sk_c12) != identity
| sP0_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_11794,c_14562]) ).
cnf(c_14651,plain,
( inverse(identity) = sk_c2
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_5322,c_14562]) ).
cnf(c_14698,plain,
( multiply(sk_c5,identity) = sk_c10
| multiply(sk_c2,identity) = sk_c10 ),
inference(demodulation,[status(thm)],[c_71,c_14562]) ).
cnf(c_14722,plain,
( multiply(sk_c2,identity) = sk_c10
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_72,c_14562]) ).
cnf(c_14907,plain,
( sk_c10 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_14651,c_2880]) ).
cnf(c_16221,plain,
( inverse(sk_c5) = identity
| sk_c10 = sk_c2 ),
inference(demodulation,[status(thm)],[c_14722,c_2872]) ).
cnf(c_16230,plain,
( inverse(identity) = sk_c5
| sk_c10 = sk_c2 ),
inference(superposition,[status(thm)],[c_16221,c_3306]) ).
cnf(c_16233,plain,
( sk_c5 = identity
| sk_c10 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_16230,c_2880]) ).
cnf(c_17424,plain,
( sk_c5 = sk_c10
| sk_c10 = sk_c2 ),
inference(demodulation,[status(thm)],[c_14698,c_2872]) ).
cnf(c_17431,plain,
( sk_c10 = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_17424,c_16233]) ).
cnf(c_17844,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_17431,c_14907]) ).
cnf(c_17846,plain,
( sk_c12 != sk_c10
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_11731,c_17844]) ).
cnf(c_17864,plain,
( multiply(identity,sk_c12) != identity
| sP0_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_14592,c_17844]) ).
cnf(c_17921,plain,
( inverse(identity) = sk_c3
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_5625,c_17844]) ).
cnf(c_17941,plain,
( multiply(sk_c3,identity) = sk_c12
| inverse(sk_c6) = sk_c9 ),
inference(demodulation,[status(thm)],[c_104,c_17844]) ).
cnf(c_18002,plain,
( sk_c12 = identity
| sk_c3 = identity ),
inference(light_normalisation,[status(thm)],[c_17921,c_2880]) ).
cnf(c_18471,plain,
( sk_c12 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17846,c_17844]) ).
cnf(c_18662,plain,
( inverse(sk_c6) = sk_c9
| sk_c12 = sk_c3 ),
inference(demodulation,[status(thm)],[c_17941,c_2872]) ).
cnf(c_18671,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c12 = sk_c3 ),
inference(superposition,[status(thm)],[c_18662,c_3300]) ).
cnf(c_19626,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_3300,c_2506]) ).
cnf(c_19674,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_19626,c_2872]) ).
cnf(c_22201,plain,
( sk_c12 != identity
| sP0_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_17864,c_120]) ).
cnf(c_22205,plain,
( sk_c12 != identity
| sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_22201,c_18471]) ).
cnf(c_30439,plain,
( multiply(sk_c6,multiply(sk_c9,inverse(sk_c12))) = identity
| multiply(identity,sk_c12) = identity ),
inference(light_normalisation,[status(thm)],[c_6896,c_14562,c_17844]) ).
cnf(c_30440,plain,
( multiply(sk_c6,multiply(sk_c9,inverse(sk_c12))) = identity
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_30439,c_120]) ).
cnf(c_30476,plain,
( multiply(sk_c6,multiply(multiply(sk_c9,inverse(sk_c12)),X0)) = multiply(identity,X0)
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_30440,c_122]) ).
cnf(c_30500,plain,
( multiply(sk_c6,multiply(multiply(sk_c9,inverse(sk_c12)),X0)) = X0
| sk_c12 = identity ),
inference(light_normalisation,[status(thm)],[c_30476,c_120]) ).
cnf(c_36826,plain,
( multiply(sk_c6,multiply(sk_c9,multiply(inverse(sk_c12),X0))) = X0
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_30500,c_3299,c_3306]) ).
cnf(c_36852,plain,
( multiply(sk_c6,multiply(sk_c9,identity)) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_121,c_36826]) ).
cnf(c_37013,plain,
( multiply(sk_c6,sk_c9) = sk_c12
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_36852,c_2879]) ).
cnf(c_46521,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(multiply(X0,X1),inverse(X2)) != inverse(multiply(X0,X1))
| multiply(X2,inverse(X2)) != sk_c12
| multiply(inverse(X2),identity) != sk_c12
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_2041,c_14562]) ).
cnf(c_46522,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| inverse(X2) != sk_c12
| sk_c12 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_46521,c_2872,c_3300,c_3299,c_3306]) ).
cnf(c_46528,plain,
( inverse(multiply(X0,multiply(X1,inverse(X2)))) != inverse(X2)
| multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| inverse(X2) != sk_c12
| sk_c12 != identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_46522,c_22205]) ).
cnf(c_46533,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(multiply(identity,X0))
| inverse(X1) != sk_c12
| sk_c12 != identity ),
inference(superposition,[status(thm)],[c_120,c_46528]) ).
cnf(c_46677,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(X1) != sk_c12
| sk_c12 != identity ),
inference(light_normalisation,[status(thm)],[c_46533,c_120]) ).
cnf(c_47685,plain,
( sk_c12 = sk_c3
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_18671,c_37013]) ).
cnf(c_47711,plain,
sk_c12 = identity,
inference(superposition,[status(thm)],[c_47685,c_18002]) ).
cnf(c_48628,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_2433,c_19674]) ).
cnf(c_54634,plain,
( inverse(X1) != sk_c12
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1) ),
inference(global_subsumption_just,[status(thm)],[c_46677,c_46677,c_47711]) ).
cnf(c_54635,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(X1) != sk_c12 ),
inference(renaming,[status(thm)],[c_54634]) ).
cnf(c_54637,plain,
( inverse(multiply(identity,multiply(X0,inverse(X1)))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| inverse(X1) != identity ),
inference(light_normalisation,[status(thm)],[c_54635,c_47711]) ).
cnf(c_54638,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(demodulation,[status(thm)],[c_54637,c_2880,c_2879,c_3299,c_3306,c_48628]) ).
cnf(c_54645,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_3300,c_54638]) ).
cnf(c_54650,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_54645,c_3300]) ).
cnf(c_54651,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2880,c_54650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP258-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 22:52:47 EDT 2023
% 0.12/0.34 % 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
% 9.85/2.18 % SZS status Started for theBenchmark.p
% 9.85/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.85/2.18
% 9.85/2.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.85/2.18
% 9.85/2.18 ------ iProver source info
% 9.85/2.18
% 9.85/2.18 git: date: 2023-05-31 18:12:56 +0000
% 9.85/2.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.85/2.18 git: non_committed_changes: false
% 9.85/2.18 git: last_make_outside_of_git: false
% 9.85/2.18
% 9.85/2.18 ------ Parsing...successful
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.85/2.18
% 9.85/2.18 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.85/2.18
% 9.85/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.85/2.18 ------ Proving...
% 9.85/2.18 ------ Problem Properties
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18 clauses 78
% 9.85/2.18 conjectures 75
% 9.85/2.18 EPR 0
% 9.85/2.18 Horn 7
% 9.85/2.18 unary 3
% 9.85/2.18 binary 70
% 9.85/2.18 lits 162
% 9.85/2.18 lits eq 154
% 9.85/2.18 fd_pure 0
% 9.85/2.18 fd_pseudo 0
% 9.85/2.18 fd_cond 0
% 9.85/2.18 fd_pseudo_cond 0
% 9.85/2.18 AC symbols 0
% 9.85/2.18
% 9.85/2.18 ------ Schedule dynamic 5 is on
% 9.85/2.18
% 9.85/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18 ------
% 9.85/2.18 Current options:
% 9.85/2.18 ------
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18 ------ Proving...
% 9.85/2.18
% 9.85/2.18
% 9.85/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 9.85/2.18
% 9.85/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.85/2.18
% 9.85/2.19
%------------------------------------------------------------------------------