TSTP Solution File: GRP248-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 00:58:54 EDT 2023
% Result : Unsatisfiable 2.45s 1.16s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 25
% Syntax : Number of clauses : 153 ( 37 unt; 50 nHn; 138 RR)
% Number of literals : 343 ( 261 equ; 162 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_91,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c8) != sk_c9
| inverse(X0) != X1
| inverse(X2) != sk_c10
| inverse(X3) != sk_c9
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c8) != sk_c9
| inverse(X1) != sk_c10
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c9 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_95]) ).
cnf(c_493,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_95]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_95]) ).
cnf(c_495,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_95]) ).
cnf(c_496,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_95]) ).
cnf(c_497,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP5_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_95]) ).
cnf(c_498,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split
| sP5_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_499,plain,
X0 = X0,
theory(equality) ).
cnf(c_500,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_501,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_505,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_499]) ).
cnf(c_995,plain,
( inverse(sk_c3) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_492]) ).
cnf(c_1067,plain,
( inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_63,c_493]) ).
cnf(c_1068,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_493]) ).
cnf(c_1069,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_493]) ).
cnf(c_1118,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(superposition,[status(thm)],[c_85,c_494]) ).
cnf(c_1119,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_494]) ).
cnf(c_1121,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_78,c_494]) ).
cnf(c_1123,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_57,c_494]) ).
cnf(c_1170,plain,
( multiply(sk_c4,sk_c8) != sk_c10
| inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_1184,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_495]) ).
cnf(c_1203,plain,
( multiply(sk_c4,sk_c8) != X0
| sk_c10 != X0
| multiply(sk_c4,sk_c8) = sk_c10 ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_1206,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_1209,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1206]) ).
cnf(c_1210,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_499]) ).
cnf(c_1220,plain,
( inverse(sk_c5) != sk_c9
| ~ sP4_iProver_split
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_496]) ).
cnf(c_1232,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_496]) ).
cnf(c_1287,plain,
( multiply(sk_c4,sk_c9) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(instantiation,[status(thm)],[c_1209]) ).
cnf(c_1299,plain,
( multiply(sk_c4,sk_c8) != multiply(sk_c4,sk_c9)
| sk_c10 != multiply(sk_c4,sk_c9)
| multiply(sk_c4,sk_c8) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1203]) ).
cnf(c_1310,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| sk_c9 != identity
| ~ sP5_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_497]) ).
cnf(c_1422,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_1598,plain,
( sk_c4 != sk_c4
| sk_c8 != sk_c9
| multiply(sk_c4,sk_c8) = multiply(sk_c4,sk_c9) ),
inference(instantiation,[status(thm)],[c_501]) ).
cnf(c_1665,plain,
sk_c4 = sk_c4,
inference(instantiation,[status(thm)],[c_499]) ).
cnf(c_1683,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1422,c_92]) ).
cnf(c_1704,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1683]) ).
cnf(c_1707,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_1683]) ).
cnf(c_1721,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_63,c_1683]) ).
cnf(c_1726,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_1683]) ).
cnf(c_1727,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_1683]) ).
cnf(c_1738,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1683,c_1683]) ).
cnf(c_2024,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1727,c_1738]) ).
cnf(c_2032,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2024,c_1726]) ).
cnf(c_2067,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1738,c_93]) ).
cnf(c_2071,plain,
( inverse(inverse(inverse(X0))) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1738,c_494]) ).
cnf(c_2074,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1738,c_2024]) ).
cnf(c_2075,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2074,c_2024]) ).
cnf(c_2118,plain,
inverse(inverse(sk_c9)) = sk_c9,
inference(instantiation,[status(thm)],[c_2075]) ).
cnf(c_2401,plain,
( inverse(sk_c10) = sk_c4
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_70,c_2075]) ).
cnf(c_2456,plain,
( multiply(sk_c3,sk_c8) != sk_c10
| inverse(sk_c3) != sk_c10
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_2464,plain,
( inverse(sk_c10) = sk_c4
| inverse(sk_c9) = sk_c2 ),
inference(superposition,[status(thm)],[c_2401,c_2075]) ).
cnf(c_2614,plain,
( multiply(sk_c6,sk_c7) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_61,c_2067]) ).
cnf(c_2976,plain,
( inverse(sk_c9) = sk_c2
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_2464,c_2075]) ).
cnf(c_3553,plain,
( inverse(sk_c1) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2614,c_60]) ).
cnf(c_3596,plain,
( multiply(sk_c1,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3553,c_2067]) ).
cnf(c_3745,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_4350,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_72,c_1707]) ).
cnf(c_4848,plain,
( multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_4350,c_94]) ).
cnf(c_6282,plain,
( inverse(inverse(sk_c2)) != sk_c9
| ~ sP4_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_1721,c_496]) ).
cnf(c_6605,plain,
( inverse(sk_c6) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3596,c_54]) ).
cnf(c_6630,plain,
( multiply(sk_c6,sk_c7) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6605,c_2067]) ).
cnf(c_7145,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_995,c_77,c_995]) ).
cnf(c_7184,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1068,c_2032]) ).
cnf(c_7191,plain,
( ~ sP2_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1121,c_77,c_1121]) ).
cnf(c_7291,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1123,c_56,c_1123]) ).
cnf(c_7589,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP4_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1232,c_2032]) ).
cnf(c_7768,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6630,c_53]) ).
cnf(c_7891,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_3596,c_7768]) ).
cnf(c_7896,plain,
( sk_c9 != sk_c8
| ~ sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7589,c_7891]) ).
cnf(c_7897,plain,
( sk_c9 != sk_c8
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7184,c_7891]) ).
cnf(c_7923,plain,
( inverse(sk_c4) = sk_c10
| inverse(identity) = sk_c2 ),
inference(demodulation,[status(thm)],[c_2976,c_7891]) ).
cnf(c_8004,plain,
( multiply(sk_c2,identity) = sk_c8
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_65,c_7891]) ).
cnf(c_8220,plain,
( inverse(sk_c4) = sk_c10
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_7923,c_2032]) ).
cnf(c_8443,plain,
( sk_c8 != identity
| ~ sP4_iProver_split ),
inference(light_normalisation,[status(thm)],[c_7896,c_7891]) ).
cnf(c_8448,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_7897,c_7891]) ).
cnf(c_8843,plain,
( inverse(sk_c5) = identity
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_8004,c_2024]) ).
cnf(c_9807,plain,
( multiply(inverse(sk_c5),identity) = sk_c8
| multiply(sk_c2,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1704,c_7891]) ).
cnf(c_9808,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_9807,c_2024]) ).
cnf(c_9822,plain,
( sk_c8 = sk_c2
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_9808,c_8843]) ).
cnf(c_10890,plain,
( sk_c9 != X0
| sk_c8 != X0
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_10891,plain,
( sk_c9 != sk_c9
| sk_c8 != sk_c9
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_10890]) ).
cnf(c_12296,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1069,c_1069,c_2118]) ).
cnf(c_12298,plain,
( ~ sP2_iProver_split
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1118,c_84,c_1118]) ).
cnf(c_12310,plain,
( ~ sP2_iProver_split
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1119,c_63,c_1119]) ).
cnf(c_12312,plain,
( ~ sP2_iProver_split
| multiply(sk_c2,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_12310,c_7891]) ).
cnf(c_12313,plain,
( ~ sP2_iProver_split
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_12312,c_2024]) ).
cnf(c_12692,plain,
( inverse(inverse(sk_c10)) != sk_c10
| ~ sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1184,c_1184,c_7891]) ).
cnf(c_12694,plain,
( sk_c10 != sk_c10
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_12692,c_2075]) ).
cnf(c_12695,plain,
~ sP3_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_12694]) ).
cnf(c_12696,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP4_iProver_split
| sP5_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_498,c_12695]) ).
cnf(c_12718,plain,
( ~ sP4_iProver_split
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1220,c_65,c_1220]) ).
cnf(c_12720,plain,
( ~ sP4_iProver_split
| multiply(sk_c2,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_12718,c_7891]) ).
cnf(c_12721,plain,
( ~ sP4_iProver_split
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_12720,c_2024]) ).
cnf(c_14391,plain,
( inverse(inverse(sk_c2)) != identity
| ~ sP4_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_6282,c_7891]) ).
cnf(c_14392,plain,
( sk_c2 != identity
| ~ sP4_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_14391,c_2075]) ).
cnf(c_14396,plain,
( ~ sP4_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_14392,c_8220]) ).
cnf(c_14798,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| ~ sP5_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1310,c_1310,c_7891]) ).
cnf(c_14800,plain,
( multiply(sk_c8,inverse(sk_c8)) != identity
| ~ sP5_iProver_split ),
inference(light_normalisation,[status(thm)],[c_14798,c_7891]) ).
cnf(c_14801,plain,
( identity != identity
| ~ sP5_iProver_split ),
inference(demodulation,[status(thm)],[c_14800,c_2067]) ).
cnf(c_14802,plain,
~ sP5_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_14801]) ).
cnf(c_14803,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12696,c_14802]) ).
cnf(c_15250,plain,
( X0 != identity
| sk_c8 != identity
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_3745]) ).
cnf(c_15252,plain,
( sk_c9 != identity
| sk_c8 != identity
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_15250]) ).
cnf(c_15396,plain,
( inverse(sk_c4) = sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_14803,c_14396]) ).
cnf(c_15400,plain,
( sk_c8 = sk_c2
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_14803,c_12721]) ).
cnf(c_15457,plain,
( sk_c8 = sk_c2
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_15400,c_78,c_85,c_505,c_1170,c_1210,c_1287,c_1299,c_1598,c_1665,c_2456,c_7145,c_7891,c_7896,c_9822,c_10891,c_12296,c_14803,c_15252]) ).
cnf(c_15461,plain,
sk_c8 = sk_c2,
inference(forward_subsumption_resolution,[status(thm)],[c_15457,c_12313]) ).
cnf(c_15704,plain,
( inverse(sk_c4) = sk_c10
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_15396,c_77,c_70,c_995,c_1067,c_15396]) ).
cnf(c_16460,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c8) = identity ),
inference(light_normalisation,[status(thm)],[c_4848,c_92,c_7891,c_15461]) ).
cnf(c_16470,plain,
inverse(sk_c8) = identity,
inference(superposition,[status(thm)],[c_16460,c_2067]) ).
cnf(c_16490,plain,
inverse(identity) = sk_c8,
inference(superposition,[status(thm)],[c_16470,c_2075]) ).
cnf(c_16493,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_16490,c_2032]) ).
cnf(c_16495,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8448,c_16493]) ).
cnf(c_16496,plain,
~ sP4_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8443,c_16493]) ).
cnf(c_16517,plain,
( ~ sP2_iProver_split
| multiply(sk_c3,identity) = sk_c10 ),
inference(demodulation,[status(thm)],[c_12298,c_16493]) ).
cnf(c_16543,plain,
( multiply(sk_c3,identity) = sk_c10
| inverse(sk_c6) = sk_c7 ),
inference(demodulation,[status(thm)],[c_89,c_16493]) ).
cnf(c_16545,plain,
( sP0_iProver_split
| sP2_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_14803,c_16495]) ).
cnf(c_16549,plain,
( sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_16545,c_16496]) ).
cnf(c_16633,plain,
sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_16549,c_78,c_85,c_1170,c_1210,c_1287,c_1299,c_1598,c_1665,c_2456,c_7891,c_15252,c_15704,c_16549,c_16493]) ).
cnf(c_16637,plain,
inverse(sk_c1) = sk_c10,
inference(backward_subsumption_resolution,[status(thm)],[c_7291,c_16633]) ).
cnf(c_16638,plain,
inverse(sk_c3) = sk_c10,
inference(backward_subsumption_resolution,[status(thm)],[c_7191,c_16633]) ).
cnf(c_16639,plain,
multiply(sk_c3,identity) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_16543,c_78,c_85,c_1170,c_1210,c_1287,c_1299,c_1598,c_1665,c_2456,c_7891,c_15252,c_15704,c_16549,c_16493,c_16517]) ).
cnf(c_16641,plain,
sk_c10 = sk_c3,
inference(demodulation,[status(thm)],[c_16639,c_2024]) ).
cnf(c_16711,plain,
inverse(sk_c10) = sk_c1,
inference(superposition,[status(thm)],[c_16637,c_2075]) ).
cnf(c_16735,plain,
sk_c1 = sk_c10,
inference(light_normalisation,[status(thm)],[c_16638,c_16641,c_16711]) ).
cnf(c_16739,plain,
inverse(sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_16711,c_16735]) ).
cnf(c_16792,plain,
( multiply(X0,sk_c9) != sk_c10
| inverse(inverse(inverse(X0))) != sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_2071,c_78,c_85,c_1170,c_1210,c_1287,c_1299,c_1598,c_1665,c_2071,c_2456,c_7891,c_15252,c_15704,c_16549,c_16493]) ).
cnf(c_16793,plain,
( inverse(inverse(inverse(X0))) != sk_c10
| multiply(X0,sk_c9) != sk_c10 ),
inference(renaming,[status(thm)],[c_16792]) ).
cnf(c_16795,plain,
( inverse(X0) != sk_c10
| X0 != sk_c10 ),
inference(light_normalisation,[status(thm)],[c_16793,c_2024,c_2075,c_7891]) ).
cnf(c_16799,plain,
sk_c10 != sk_c10,
inference(superposition,[status(thm)],[c_16739,c_16795]) ).
cnf(c_16801,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_16799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.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
% 0.19/0.34 % DateTime : Mon Aug 28 20:29:38 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.45/1.16 % SZS status Started for theBenchmark.p
% 2.45/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.16
% 2.45/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.45/1.16
% 2.45/1.16 ------ iProver source info
% 2.45/1.16
% 2.45/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.45/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.45/1.16 git: non_committed_changes: false
% 2.45/1.16 git: last_make_outside_of_git: false
% 2.45/1.16
% 2.45/1.16 ------ Parsing...successful
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.45/1.16 ------ Proving...
% 2.45/1.16 ------ Problem Properties
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 clauses 52
% 2.45/1.16 conjectures 49
% 2.45/1.16 EPR 1
% 2.45/1.16 Horn 9
% 2.45/1.16 unary 3
% 2.45/1.16 binary 42
% 2.45/1.16 lits 111
% 2.45/1.16 lits eq 99
% 2.45/1.16 fd_pure 0
% 2.45/1.16 fd_pseudo 0
% 2.45/1.17 fd_cond 0
% 2.45/1.17 fd_pseudo_cond 0
% 2.45/1.17 AC symbols 0
% 2.45/1.17
% 2.45/1.17 ------ Schedule dynamic 5 is on
% 2.45/1.17
% 2.45/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.45/1.17
% 2.45/1.17
% 2.45/1.17 ------
% 2.45/1.17 Current options:
% 2.45/1.17 ------
% 2.45/1.17
% 2.45/1.17
% 2.45/1.17
% 2.45/1.17
% 2.45/1.17 ------ Proving...
% 2.45/1.17
% 2.45/1.17
% 2.45/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.17
% 2.45/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.45/1.17
% 2.45/1.17
%------------------------------------------------------------------------------