TSTP Solution File: GRP275-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 00:59:04 EDT 2023
% Result : Unsatisfiable 8.08s 1.67s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 19
% Syntax : Number of clauses : 149 ( 40 unt; 84 nHn; 116 RR)
% Number of literals : 311 ( 264 equ; 100 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 65 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_79,negated_conjecture,
( multiply(X0,X1) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c7) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c8) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_380,plain,
X0 = X0,
theory(equality) ).
cnf(c_386,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_596,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_81]) ).
cnf(c_775,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_377]) ).
cnf(c_843,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c7
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_378]) ).
cnf(c_886,plain,
( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_82]) ).
cnf(c_889,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_82]) ).
cnf(c_908,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1083,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_908,c_80]) ).
cnf(c_1098,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_1083]) ).
cnf(c_1115,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1083]) ).
cnf(c_1121,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1083,c_1083]) ).
cnf(c_1270,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1115,c_1121]) ).
cnf(c_1347,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1121,c_81]) ).
cnf(c_1350,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1121,c_1083]) ).
cnf(c_1351,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1121,c_1270]) ).
cnf(c_1352,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1351,c_1270]) ).
cnf(c_1371,plain,
( multiply(inverse(X0),sk_c8) != sk_c7
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_378,c_1347]) ).
cnf(c_1376,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1352]) ).
cnf(c_1784,plain,
( multiply(sk_c4,sk_c5) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_1347]) ).
cnf(c_1794,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1347,c_82]) ).
cnf(c_1935,plain,
( multiply(sk_c3,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_1350]) ).
cnf(c_2212,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1784,c_58]) ).
cnf(c_2227,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2212,c_1347]) ).
cnf(c_2263,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_1098]) ).
cnf(c_2638,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3001,plain,
( multiply(sk_c7,multiply(sk_c8,inverse(sk_c6))) = identity
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_1794]) ).
cnf(c_3002,plain,
( multiply(sk_c7,multiply(sk_c8,inverse(sk_c6))) = identity
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_1794]) ).
cnf(c_3623,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2638,c_80]) ).
cnf(c_3661,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3623,c_3623]) ).
cnf(c_3901,plain,
( inverse(sk_c4) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2227,c_53]) ).
cnf(c_3931,plain,
( multiply(sk_c4,sk_c5) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3901,c_1347]) ).
cnf(c_4818,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8)
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_2263,c_886]) ).
cnf(c_5093,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_3661,c_81]) ).
cnf(c_5138,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3931,c_52]) ).
cnf(c_5225,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_2227,c_5138]) ).
cnf(c_5268,plain,
( multiply(sk_c8,sk_c6) != identity
| multiply(identity,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_379,c_5225]) ).
cnf(c_5270,plain,
( multiply(X0,identity) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_376,c_5225]) ).
cnf(c_5273,plain,
( multiply(sk_c3,identity) = sk_c8
| multiply(sk_c2,identity) = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_5225]) ).
cnf(c_5278,plain,
( multiply(sk_c8,sk_c6) = identity
| multiply(identity,sk_c8) = sk_c6 ),
inference(demodulation,[status(thm)],[c_61,c_5225]) ).
cnf(c_5283,plain,
( multiply(sk_c2,identity) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_74,c_5225]) ).
cnf(c_5287,plain,
( multiply(identity,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_67,c_5225]) ).
cnf(c_5289,plain,
( multiply(sk_c8,sk_c6) = identity
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_62,c_5225]) ).
cnf(c_5345,plain,
( inverse(X0) != sk_c8
| X0 != sk_c8
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_5270,c_1270]) ).
cnf(c_5434,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_5345]) ).
cnf(c_5462,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_5283,c_1270]) ).
cnf(c_5516,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c6 ),
inference(demodulation,[status(thm)],[c_5287,c_80]) ).
cnf(c_5523,plain,
( inverse(sk_c8) = sk_c2
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_5516,c_1352]) ).
cnf(c_6864,plain,
( sk_c8 = sk_c3
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_5273,c_1270]) ).
cnf(c_6870,plain,
( inverse(sk_c8) = sk_c8
| sk_c8 = sk_c2 ),
inference(superposition,[status(thm)],[c_6864,c_5462]) ).
cnf(c_6991,plain,
( multiply(sk_c8,sk_c6) = identity
| sk_c8 = sk_c6 ),
inference(demodulation,[status(thm)],[c_5278,c_80]) ).
cnf(c_7024,plain,
( multiply(sk_c8,X0) = multiply(sk_c3,X0)
| multiply(sk_c8,sk_c6) = identity ),
inference(light_normalisation,[status(thm)],[c_889,c_80,c_5225]) ).
cnf(c_7092,plain,
( multiply(sk_c4,sk_c5) = identity
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_5093]) ).
cnf(c_8846,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_7092,c_70]) ).
cnf(c_9093,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_8846,c_5225]) ).
cnf(c_9259,plain,
( multiply(identity,multiply(sk_c8,inverse(sk_c6))) = identity
| inverse(sk_c2) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_3002,c_5225]) ).
cnf(c_9260,plain,
( multiply(sk_c8,inverse(sk_c6)) = identity
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_9259,c_80]) ).
cnf(c_9270,plain,
( multiply(sk_c3,identity) = inverse(sk_c6)
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_9260,c_1935]) ).
cnf(c_11141,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c7
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_843,c_843,c_5225]) ).
cnf(c_11143,plain,
( multiply(sk_c8,inverse(sk_c8)) != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_11141,c_5225]) ).
cnf(c_11144,plain,
( identity != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_11143,c_1347]) ).
cnf(c_11145,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_11144]) ).
cnf(c_11606,plain,
( multiply(identity,multiply(sk_c8,inverse(sk_c6))) = identity
| multiply(sk_c8,sk_c6) = identity ),
inference(light_normalisation,[status(thm)],[c_3001,c_5225]) ).
cnf(c_11607,plain,
( multiply(sk_c8,inverse(sk_c6)) = identity
| multiply(sk_c8,sk_c6) = identity ),
inference(demodulation,[status(thm)],[c_11606,c_80]) ).
cnf(c_11613,plain,
( multiply(sk_c8,multiply(inverse(sk_c6),X0)) = multiply(identity,X0)
| multiply(sk_c8,sk_c6) = identity ),
inference(superposition,[status(thm)],[c_11607,c_82]) ).
cnf(c_11624,plain,
( multiply(sk_c8,multiply(inverse(sk_c6),X0)) = X0
| multiply(sk_c8,sk_c6) = identity ),
inference(light_normalisation,[status(thm)],[c_11613,c_80]) ).
cnf(c_13726,plain,
( multiply(sk_c8,sk_c6) = identity
| multiply(sk_c8,identity) = sk_c6 ),
inference(superposition,[status(thm)],[c_81,c_11624]) ).
cnf(c_13929,plain,
( sP0_iProver_split
| multiply(identity,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != identity
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5268,c_775,c_1376,c_5225,c_5268]) ).
cnf(c_13930,plain,
( multiply(sk_c8,sk_c6) != identity
| multiply(identity,sk_c8) != sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_13929]) ).
cnf(c_13931,plain,
( multiply(sk_c8,sk_c6) != identity
| sk_c8 != sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_13930,c_80]) ).
cnf(c_13932,plain,
( multiply(sk_c8,sk_c6) != identity
| sk_c8 != sk_c6
| sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_13931,c_11145]) ).
cnf(c_18167,plain,
( sP0_iProver_split
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_379,c_379,c_775,c_1376,c_5225]) ).
cnf(c_18168,negated_conjecture,
( multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_18167]) ).
cnf(c_18169,plain,
( multiply(sk_c8,sk_c6) != identity
| multiply(identity,sk_c8) != sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_18168,c_9093]) ).
cnf(c_18170,plain,
( multiply(sk_c8,sk_c6) != identity
| sk_c8 != sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_18169,c_80]) ).
cnf(c_18208,plain,
( multiply(sk_c3,identity) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_69,c_9093]) ).
cnf(c_18218,plain,
( multiply(sk_c2,identity) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_74,c_9093]) ).
cnf(c_18280,plain,
( multiply(sk_c3,identity) = sk_c8
| multiply(sk_c2,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_75,c_9093]) ).
cnf(c_18300,plain,
( multiply(X0,identity) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_376,c_9093]) ).
cnf(c_18308,plain,
( inverse(inverse(identity)) != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_18300]) ).
cnf(c_18353,negated_conjecture,
( multiply(inverse(X0),sk_c8) != sk_c7
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_378,c_1371,c_5225]) ).
cnf(c_18355,plain,
( multiply(inverse(X0),sk_c8) != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_18353,c_9093]) ).
cnf(c_18360,plain,
~ sP2_iProver_split,
inference(superposition,[status(thm)],[c_81,c_18355]) ).
cnf(c_18367,plain,
( multiply(sk_c8,sk_c6) != identity
| sk_c8 != sk_c6
| sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_18170,c_18360]) ).
cnf(c_18401,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_18528,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_18401,c_80]) ).
cnf(c_18551,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_18528]) ).
cnf(c_18567,plain,
( multiply(inverse(sk_c3),sk_c8) = identity
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_18208,c_18528]) ).
cnf(c_18569,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18528,c_18528]) ).
cnf(c_18631,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_18551,c_18569]) ).
cnf(c_18632,plain,
( inverse(X0) != sk_c8
| X0 != sk_c8
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_18300,c_18631]) ).
cnf(c_18633,plain,
( multiply(sk_c2,identity) = sk_c8
| sk_c8 = sk_c3 ),
inference(demodulation,[status(thm)],[c_18280,c_18631]) ).
cnf(c_18642,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_18218,c_18631]) ).
cnf(c_18726,plain,
( sk_c8 = sk_c3
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_18633,c_18631]) ).
cnf(c_18731,plain,
( inverse(sk_c8) = sk_c8
| sk_c8 = sk_c2 ),
inference(superposition,[status(thm)],[c_18726,c_18642]) ).
cnf(c_19256,plain,
( multiply(sk_c8,sk_c8) = identity
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_18567]) ).
cnf(c_19278,plain,
( multiply(inverse(sk_c8),identity) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_19256,c_18528]) ).
cnf(c_19510,plain,
( inverse(sk_c8) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_19278,c_18631]) ).
cnf(c_20270,plain,
( sk_c8 != sk_c2
| ~ sP0_iProver_split
| inverse(sk_c8) = sk_c8 ),
inference(superposition,[status(thm)],[c_19510,c_18632]) ).
cnf(c_20282,plain,
( sk_c8 != sk_c8
| ~ sP0_iProver_split
| sk_c8 = sk_c2 ),
inference(superposition,[status(thm)],[c_18731,c_18632]) ).
cnf(c_20290,plain,
( ~ sP0_iProver_split
| sk_c8 = sk_c2 ),
inference(equality_resolution_simp,[status(thm)],[c_20282]) ).
cnf(c_20338,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_18308,c_386,c_5434,c_20290,c_20270]) ).
cnf(c_22798,plain,
( inverse(sk_c6) = sk_c3
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_9270,c_1270]) ).
cnf(c_22812,plain,
( inverse(sk_c8) = sk_c2
| inverse(sk_c6) = sk_c3 ),
inference(superposition,[status(thm)],[c_22798,c_1352]) ).
cnf(c_24314,plain,
( multiply(sk_c3,sk_c6) = identity
| inverse(sk_c8) = sk_c2 ),
inference(superposition,[status(thm)],[c_22812,c_81]) ).
cnf(c_24493,plain,
( multiply(sk_c6,sk_c8) = multiply(identity,identity)
| inverse(sk_c2) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_4818,c_5225]) ).
cnf(c_24494,plain,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c8 ),
inference(demodulation,[status(thm)],[c_24493,c_80]) ).
cnf(c_24501,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(identity,X0)
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_24494,c_82]) ).
cnf(c_24510,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_24501,c_80]) ).
cnf(c_24589,plain,
( multiply(sk_c8,sk_c6) = identity
| inverse(sk_c8) = sk_c2 ),
inference(superposition,[status(thm)],[c_24314,c_7024]) ).
cnf(c_24633,plain,
( multiply(sk_c6,identity) = sk_c3
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_596,c_24510]) ).
cnf(c_24960,plain,
( inverse(sk_c2) = sk_c8
| sk_c6 = sk_c3 ),
inference(demodulation,[status(thm)],[c_24633,c_1270]) ).
cnf(c_24974,plain,
( inverse(sk_c8) = sk_c2
| sk_c6 = sk_c3 ),
inference(superposition,[status(thm)],[c_24960,c_1352]) ).
cnf(c_25783,plain,
inverse(sk_c8) = sk_c2,
inference(global_subsumption_just,[status(thm)],[c_24974,c_5523,c_18367,c_20338,c_24589]) ).
cnf(c_25845,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm)],[c_6870,c_25783]) ).
cnf(c_26132,plain,
multiply(sk_c2,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_25783,c_1083]) ).
cnf(c_26133,plain,
multiply(sk_c2,sk_c8) = identity,
inference(superposition,[status(thm)],[c_25783,c_81]) ).
cnf(c_26136,plain,
multiply(sk_c8,sk_c8) = identity,
inference(light_normalisation,[status(thm)],[c_26133,c_25845]) ).
cnf(c_26138,plain,
multiply(sk_c8,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_26132,c_25845]) ).
cnf(c_26201,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_5345,c_386,c_5434,c_20290,c_20270]) ).
cnf(c_26204,plain,
( multiply(sk_c8,sk_c6) != identity
| sk_c8 != sk_c6 ),
inference(backward_subsumption_resolution,[status(thm)],[c_13932,c_26201]) ).
cnf(c_26583,plain,
( multiply(sk_c8,identity) = sk_c6
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_6991,c_26138]) ).
cnf(c_26585,plain,
( multiply(sk_c8,identity) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_5289,c_26138]) ).
cnf(c_26695,plain,
multiply(sk_c8,identity) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_26585,c_13726,c_26204,c_26583]) ).
cnf(c_26697,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm)],[c_26695,c_1270]) ).
cnf(c_26846,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_26697,c_26204,c_26136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:54:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.08/1.67 % SZS status Started for theBenchmark.p
% 8.08/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.67
% 8.08/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.08/1.67
% 8.08/1.67 ------ iProver source info
% 8.08/1.67
% 8.08/1.67 git: date: 2023-05-31 18:12:56 +0000
% 8.08/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.08/1.67 git: non_committed_changes: false
% 8.08/1.67 git: last_make_outside_of_git: false
% 8.08/1.67
% 8.08/1.67 ------ Parsing...successful
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.08/1.67
% 8.08/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.08/1.67
% 8.08/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.08/1.67 ------ Proving...
% 8.08/1.67 ------ Problem Properties
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 clauses 37
% 8.08/1.67 conjectures 34
% 8.08/1.67 EPR 0
% 8.08/1.67 Horn 6
% 8.08/1.67 unary 3
% 8.08/1.67 binary 30
% 8.08/1.67 lits 77
% 8.08/1.67 lits eq 71
% 8.08/1.67 fd_pure 0
% 8.08/1.67 fd_pseudo 0
% 8.08/1.67 fd_cond 0
% 8.08/1.67 fd_pseudo_cond 0
% 8.08/1.67 AC symbols 0
% 8.08/1.67
% 8.08/1.67 ------ Schedule dynamic 5 is on
% 8.08/1.67
% 8.08/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 ------
% 8.08/1.67 Current options:
% 8.08/1.67 ------
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 ------ Proving...
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.67
% 8.08/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.08/1.67
% 8.08/1.68
%------------------------------------------------------------------------------