TSTP Solution File: GRP254-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP254-1 : TPTP v8.1.2. 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 : Thu Aug 31 00:58:56 EDT 2023
% Result : Unsatisfiable 10.16s 2.15s
% Output : CNFRefutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 19
% Syntax : Number of clauses : 113 ( 28 unt; 57 nHn; 94 RR)
% Number of literals : 256 ( 220 equ; 113 neg)
% Maximal clause size : 16 ( 2 avg)
% Maximal term depth : 7 ( 1 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 : 72 ( 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_103,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(c_104,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_109,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_c12) != sk_c10
| multiply(X7,sk_c12) != sk_c11
| multiply(X8,sk_c11) != sk_c10
| 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/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_111,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_112,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_113,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_c12) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c10
| 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_109]) ).
cnf(c_662,negated_conjecture,
( multiply(X0,sk_c12) != sk_c10
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_113]) ).
cnf(c_663,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_113]) ).
cnf(c_664,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_113]) ).
cnf(c_665,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_113]) ).
cnf(c_666,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_113]) ).
cnf(c_1319,plain,
( inverse(identity) != sk_c10
| sk_c12 != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_662]) ).
cnf(c_1418,plain,
( inverse(inverse(sk_c12)) != sk_c12
| sk_c11 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_111,c_663]) ).
cnf(c_1506,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c10
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_664]) ).
cnf(c_1507,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_111,c_664]) ).
cnf(c_1808,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_2169,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1808,c_110]) ).
cnf(c_2230,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_2169]) ).
cnf(c_2231,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_2169]) ).
cnf(c_2232,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_112,c_2169]) ).
cnf(c_2248,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2169,c_2169]) ).
cnf(c_2929,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2231,c_2248]) ).
cnf(c_2938,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2929,c_2230]) ).
cnf(c_3024,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2248,c_111]) ).
cnf(c_3027,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_2248,c_2169]) ).
cnf(c_3028,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2248,c_2929]) ).
cnf(c_3029,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3028,c_2929]) ).
cnf(c_3075,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c11) != sk_c12
| sk_c12 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_665,c_3024]) ).
cnf(c_3082,plain,
inverse(inverse(sk_c11)) = sk_c11,
inference(instantiation,[status(thm)],[c_3029]) ).
cnf(c_3732,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_80,c_3024]) ).
cnf(c_3733,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c1) = sk_c12 ),
inference(superposition,[status(thm)],[c_60,c_3024]) ).
cnf(c_3735,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_82,c_3024]) ).
cnf(c_3737,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_94,c_3024]) ).
cnf(c_4675,plain,
( inverse(sk_c2) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3732,c_79]) ).
cnf(c_4739,plain,
( multiply(sk_c2,sk_c11) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4675,c_3024]) ).
cnf(c_4740,plain,
( inverse(sk_c11) = sk_c2
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4675,c_3029]) ).
cnf(c_4859,plain,
( inverse(sk_c1) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3733,c_59]) ).
cnf(c_4888,plain,
( multiply(sk_c1,sk_c12) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4859,c_3024]) ).
cnf(c_4889,plain,
( inverse(sk_c12) = sk_c1
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4859,c_3029]) ).
cnf(c_4997,plain,
( inverse(sk_c2) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3735,c_81]) ).
cnf(c_5144,plain,
( inverse(sk_c11) = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4997,c_3029]) ).
cnf(c_5381,plain,
( inverse(sk_c3) = sk_c10
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3737,c_93]) ).
cnf(c_10433,plain,
( sk_c12 != sk_c10
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1319,c_2938]) ).
cnf(c_10953,plain,
( inverse(sk_c5) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4888,c_52]) ).
cnf(c_10954,plain,
( inverse(sk_c4) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4888,c_50]) ).
cnf(c_11105,plain,
( inverse(sk_c11) = sk_c5
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_10953,c_3029]) ).
cnf(c_11129,plain,
( inverse(sk_c12) = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_10954,c_3029]) ).
cnf(c_12002,plain,
( sk_c11 = identity
| sk_c5 = sk_c2 ),
inference(superposition,[status(thm)],[c_11105,c_4740]) ).
cnf(c_12025,plain,
( multiply(sk_c2,sk_c11) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12002,c_71]) ).
cnf(c_12059,plain,
( sk_c1 = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_11129,c_4889]) ).
cnf(c_12092,plain,
( sk_c11 = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_12025,c_4739]) ).
cnf(c_12097,plain,
( inverse(sk_c2) != sk_c11
| ~ sP2_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12025,c_664]) ).
cnf(c_12108,plain,
( ~ sP2_iProver_split
| sk_c11 = identity ),
inference(global_subsumption_just,[status(thm)],[c_12097,c_1507,c_3082,c_12092]) ).
cnf(c_12120,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1506,c_2938]) ).
cnf(c_12124,plain,
( sk_c11 != sk_c10
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_12120,c_12108]) ).
cnf(c_12690,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_12059,c_49]) ).
cnf(c_12911,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_12690,c_4888]) ).
cnf(c_12925,plain,
( sk_c10 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_12124,c_12911]) ).
cnf(c_12989,plain,
( inverse(identity) = sk_c2
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_5144,c_12911]) ).
cnf(c_13032,plain,
( multiply(sk_c5,identity) = sk_c10
| multiply(sk_c2,identity) = sk_c10 ),
inference(demodulation,[status(thm)],[c_71,c_12911]) ).
cnf(c_13050,plain,
( multiply(sk_c2,identity) = sk_c10
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_72,c_12911]) ).
cnf(c_13226,plain,
( sk_c10 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_12989,c_2938]) ).
cnf(c_14059,plain,
( inverse(sk_c5) = identity
| sk_c10 = sk_c2 ),
inference(demodulation,[status(thm)],[c_13050,c_2929]) ).
cnf(c_14066,plain,
( inverse(identity) = sk_c5
| sk_c10 = sk_c2 ),
inference(superposition,[status(thm)],[c_14059,c_3029]) ).
cnf(c_14069,plain,
( sk_c5 = identity
| sk_c10 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_14066,c_2938]) ).
cnf(c_15008,plain,
( sk_c5 = sk_c10
| sk_c10 = sk_c2 ),
inference(demodulation,[status(thm)],[c_13032,c_2929]) ).
cnf(c_15015,plain,
( sk_c10 = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_15008,c_14069]) ).
cnf(c_15591,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_15015,c_13226]) ).
cnf(c_15594,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_12925,c_15591]) ).
cnf(c_15595,plain,
( sk_c12 != sk_c10
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_10433,c_15591]) ).
cnf(c_15656,plain,
( inverse(sk_c3) = identity
| sk_c12 = identity ),
inference(demodulation,[status(thm)],[c_5381,c_15591]) ).
cnf(c_15672,plain,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c3,sk_c12) = identity ),
inference(demodulation,[status(thm)],[c_103,c_15591]) ).
cnf(c_15675,plain,
( multiply(sk_c3,sk_c12) = identity
| inverse(sk_c6) = sk_c9 ),
inference(demodulation,[status(thm)],[c_104,c_15591]) ).
cnf(c_15683,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_666,c_15594]) ).
cnf(c_16033,plain,
( sk_c12 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_15595,c_15591]) ).
cnf(c_16778,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_3024,c_2232]) ).
cnf(c_16820,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_16778,c_2929]) ).
cnf(c_19608,plain,
( inverse(inverse(sk_c12)) != sk_c12
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1418,c_1418,c_12911]) ).
cnf(c_19610,plain,
( sk_c12 != sk_c12
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_19608,c_3029]) ).
cnf(c_19611,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_19610]) ).
cnf(c_19612,plain,
( sP0_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_15683,c_19611]) ).
cnf(c_21242,plain,
( multiply(sk_c3,multiply(identity,X0)) = X0
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_15656,c_3027]) ).
cnf(c_21252,plain,
( multiply(sk_c3,X0) = X0
| sk_c12 = identity ),
inference(light_normalisation,[status(thm)],[c_21242,c_110]) ).
cnf(c_29824,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_2169,c_16820]) ).
cnf(c_32135,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),identity) != sk_c12
| sk_c12 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_3075,c_12911]) ).
cnf(c_32136,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != sk_c12
| sk_c12 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_32135,c_2929,c_3029,c_29824]) ).
cnf(c_32149,plain,
( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| multiply(X2,inverse(multiply(X0,X1))) != inverse(X2)
| inverse(X2) != sk_c12
| sk_c12 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_112,c_32136]) ).
cnf(c_36794,plain,
( inverse(sk_c6) = sk_c9
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_21252,c_15675]) ).
cnf(c_36979,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_36794,c_3024]) ).
cnf(c_57590,plain,
( multiply(sk_c3,sk_c12) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_36979,c_15672]) ).
cnf(c_57628,plain,
sk_c12 = identity,
inference(superposition,[status(thm)],[c_57590,c_21252]) ).
cnf(c_57634,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_16033,c_57628]) ).
cnf(c_57721,plain,
sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_19612,c_57634]) ).
cnf(c_61335,plain,
( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| multiply(X2,inverse(multiply(X0,X1))) != inverse(X2)
| inverse(X2) != sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_32149,c_32149,c_57721,c_57628]) ).
cnf(c_61338,plain,
( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1))
| multiply(X2,inverse(multiply(X0,X1))) != inverse(X2)
| inverse(X2) != identity ),
inference(light_normalisation,[status(thm)],[c_61335,c_57628]) ).
cnf(c_61339,plain,
( multiply(X0,multiply(inverse(X1),inverse(X2))) != inverse(X0)
| multiply(X2,multiply(X1,inverse(X0))) != multiply(inverse(X1),inverse(X2))
| inverse(X0) != identity ),
inference(demodulation,[status(thm)],[c_61338,c_29824]) ).
cnf(c_61344,plain,
( multiply(X0,multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(X0)))))) != inverse(X0)
| multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(X0))))) != identity
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_111,c_61339]) ).
cnf(c_61399,plain,
inverse(X0) != identity,
inference(demodulation,[status(thm)],[c_61344,c_2169,c_3024,c_3029]) ).
cnf(c_61400,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2938,c_61399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % 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 : Tue Aug 29 01:17:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.16/2.15 % SZS status Started for theBenchmark.p
% 10.16/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.15
% 10.16/2.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.16/2.15
% 10.16/2.15 ------ iProver source info
% 10.16/2.15
% 10.16/2.15 git: date: 2023-05-31 18:12:56 +0000
% 10.16/2.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.16/2.15 git: non_committed_changes: false
% 10.16/2.15 git: last_make_outside_of_git: false
% 10.16/2.15
% 10.16/2.15 ------ Parsing...successful
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.16/2.15
% 10.16/2.15 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.16/2.15
% 10.16/2.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.16/2.15 ------ Proving...
% 10.16/2.15 ------ Problem Properties
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15 clauses 68
% 10.16/2.15 conjectures 65
% 10.16/2.15 EPR 1
% 10.16/2.15 Horn 7
% 10.16/2.15 unary 3
% 10.16/2.15 binary 60
% 10.16/2.15 lits 141
% 10.16/2.15 lits eq 133
% 10.16/2.15 fd_pure 0
% 10.16/2.15 fd_pseudo 0
% 10.16/2.15 fd_cond 0
% 10.16/2.15 fd_pseudo_cond 0
% 10.16/2.15 AC symbols 0
% 10.16/2.15
% 10.16/2.15 ------ Schedule dynamic 5 is on
% 10.16/2.15
% 10.16/2.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15 ------
% 10.16/2.15 Current options:
% 10.16/2.15 ------
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15 ------ Proving...
% 10.16/2.15
% 10.16/2.15
% 10.16/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.15
% 10.16/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.16/2.15
% 10.16/2.15
%------------------------------------------------------------------------------