TSTP Solution File: GRP209-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 00:58:42 EDT 2023
% Result : Unsatisfiable 3.98s 1.17s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of clauses : 138 ( 31 unt; 53 nHn; 124 RR)
% Number of literals : 314 ( 274 equ; 148 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 64 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X3) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c10) != X5
| multiply(X6,sk_c9) != sk_c10
| multiply(X7,sk_c9) != sk_c10
| multiply(sk_c10,X5) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != sk_c10
| inverse(X6) != sk_c10
| inverse(X7) != 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(sk_c10,multiply(X0,sk_c10)) != sk_c9
| multiply(X1,inverse(X1)) != sk_c10
| multiply(X2,inverse(X2)) != sk_c9
| multiply(inverse(X1),sk_c9) != sk_c10
| multiply(inverse(X2),sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_97,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_484,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c10) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_95]) ).
cnf(c_485,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_95]) ).
cnf(c_486,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_95]) ).
cnf(c_487,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_95]) ).
cnf(c_488,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_95]) ).
cnf(c_489,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_490,plain,
X0 = X0,
theory(equality) ).
cnf(c_491,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_492,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_496,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_490]) ).
cnf(c_958,plain,
( inverse(sk_c5) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_85,c_485]) ).
cnf(c_959,plain,
( inverse(sk_c5) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_57,c_485]) ).
cnf(c_970,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_485]) ).
cnf(c_1032,plain,
( inverse(sk_c5) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_85,c_487]) ).
cnf(c_1039,plain,
( inverse(sk_c6) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_86,c_487]) ).
cnf(c_1040,plain,
( inverse(sk_c6) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_58,c_487]) ).
cnf(c_1044,plain,
( inverse(identity) != sk_c9
| sk_c10 != sk_c9
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_487]) ).
cnf(c_1151,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c9 != X1
| multiply(inverse(X0),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_1154,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_1155,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1154]) ).
cnf(c_1156,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_490]) ).
cnf(c_1170,plain,
( multiply(inverse(sk_c7),sk_c10) != sk_c9
| multiply(sk_c7,sk_c8) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_484]) ).
cnf(c_1171,plain,
( multiply(inverse(sk_c7),sk_c10) != sk_c9
| multiply(sk_c7,sk_c8) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_61,c_484]) ).
cnf(c_1202,plain,
( multiply(sk_c7,sk_c8) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1155]) ).
cnf(c_1203,plain,
( multiply(sk_c8,sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_1155]) ).
cnf(c_1207,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_1216,plain,
( multiply(sk_c9,inverse(sk_c9)) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_486]) ).
cnf(c_1264,plain,
( ~ sP1_iProver_split
| inverse(sk_c1) = sk_c2 ),
inference(global_subsumption_just,[status(thm)],[c_959,c_56,c_959]) ).
cnf(c_1313,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_1486,plain,
( X0 != multiply(sk_c7,sk_c8)
| sk_c9 != multiply(sk_c7,sk_c8)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_1487,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| sk_c9 != multiply(sk_c7,sk_c8)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1486]) ).
cnf(c_1488,plain,
( X0 != multiply(sk_c8,sk_c10)
| sk_c9 != multiply(sk_c8,sk_c10)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_1513,plain,
( X0 != sk_c8
| X1 != sk_c10
| multiply(X0,X1) = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_1563,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1313,c_92]) ).
cnf(c_1577,plain,
( multiply(inverse(sk_c5),sk_c10) = sk_c9
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_85,c_1563]) ).
cnf(c_1578,plain,
( multiply(inverse(sk_c5),sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_57,c_1563]) ).
cnf(c_1595,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_62,c_1563]) ).
cnf(c_1603,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c10
| inverse(sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_1563]) ).
cnf(c_1606,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_1563]) ).
cnf(c_1607,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_1563]) ).
cnf(c_1615,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1563,c_1563]) ).
cnf(c_1766,plain,
( inverse(sk_c7) != sk_c8
| X0 != sk_c10
| multiply(inverse(sk_c7),X0) = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_1513]) ).
cnf(c_1767,plain,
( inverse(sk_c7) != sk_c8
| sk_c10 != sk_c10
| multiply(inverse(sk_c7),sk_c10) = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_1766]) ).
cnf(c_1879,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1607,c_1615]) ).
cnf(c_1887,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1879,c_1606]) ).
cnf(c_1931,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1615,c_93]) ).
cnf(c_1937,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1615,c_1563]) ).
cnf(c_1938,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1615,c_1879]) ).
cnf(c_1939,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1938,c_1879]) ).
cnf(c_1968,plain,
( multiply(inverse(X0),sk_c9) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_486,c_1931]) ).
cnf(c_1969,plain,
( multiply(inverse(X0),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_484,c_1931]) ).
cnf(c_1988,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1969]) ).
cnf(c_1989,plain,
( multiply(inverse(sk_c10),sk_c9) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_1968]) ).
cnf(c_1995,plain,
( multiply(inverse(sk_c7),X0) != multiply(sk_c8,sk_c10)
| sk_c9 != multiply(sk_c8,sk_c10)
| multiply(inverse(sk_c7),X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1488]) ).
cnf(c_1997,plain,
( multiply(inverse(sk_c7),sk_c10) != multiply(sk_c8,sk_c10)
| sk_c9 != multiply(sk_c8,sk_c10)
| multiply(inverse(sk_c7),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1995]) ).
cnf(c_2503,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_87,c_1931]) ).
cnf(c_2504,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_59,c_1931]) ).
cnf(c_2505,plain,
( multiply(sk_c7,sk_c8) = identity
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_1931]) ).
cnf(c_2506,plain,
( multiply(sk_c7,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_61,c_1931]) ).
cnf(c_2618,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c10 != sk_c9
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_1937,c_488]) ).
cnf(c_2647,plain,
( sk_c10 != sk_c9
| ~ sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2618,c_1939]) ).
cnf(c_2878,plain,
( inverse(sk_c3) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2503,c_86]) ).
cnf(c_2941,plain,
( inverse(sk_c1) = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2504,c_58]) ).
cnf(c_2977,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2941,c_1931]) ).
cnf(c_3009,plain,
( multiply(sk_c7,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_3427,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_1577]) ).
cnf(c_3506,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_3427,c_1563]) ).
cnf(c_3523,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_56,c_1578]) ).
cnf(c_3543,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_3523,c_1563]) ).
cnf(c_4726,plain,
( multiply(sk_c7,sk_c8) != identity
| X0 != identity
| X0 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_3009]) ).
cnf(c_4728,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c10 != identity
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_4726]) ).
cnf(c_4934,plain,
( inverse(sk_c6) = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2977,c_52]) ).
cnf(c_4935,plain,
( inverse(sk_c5) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2977,c_49]) ).
cnf(c_4998,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4934,c_1931]) ).
cnf(c_5116,plain,
inverse(sk_c1) = sk_c2,
inference(global_subsumption_just,[status(thm)],[c_1595,c_61,c_59,c_62,c_60,c_496,c_489,c_1040,c_1156,c_1171,c_1202,c_1203,c_1264,c_1487,c_1767,c_1989,c_1997,c_2506,c_2647,c_2941,c_3543,c_4728]) ).
cnf(c_5145,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm)],[c_5116,c_1931]) ).
cnf(c_5163,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_51,c_5145]) ).
cnf(c_5166,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_50,c_5145]) ).
cnf(c_5206,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5163,c_485]) ).
cnf(c_5225,plain,
( inverse(sk_c5) != sk_c10
| ~ sP1_iProver_split
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5166,c_485]) ).
cnf(c_5781,plain,
( ~ sP1_iProver_split
| sk_c10 = identity ),
inference(global_subsumption_just,[status(thm)],[c_5206,c_4935,c_5225]) ).
cnf(c_5966,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_970,c_1887]) ).
cnf(c_5970,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_5966,c_5781]) ).
cnf(c_5973,plain,
inverse(sk_c3) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_1032,c_89,c_87,c_84,c_90,c_88,c_496,c_489,c_958,c_1039,c_1156,c_1170,c_1202,c_1203,c_1487,c_1767,c_1989,c_1997,c_2505,c_2647,c_2878,c_3506,c_4728]) ).
cnf(c_5977,plain,
( multiply(sk_c10,sk_c4) = sk_c10
| inverse(sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1603,c_5973]) ).
cnf(c_6009,plain,
multiply(sk_c3,sk_c10) = identity,
inference(superposition,[status(thm)],[c_5973,c_1931]) ).
cnf(c_6015,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_81,c_6009]) ).
cnf(c_6499,plain,
( sk_c10 != sk_c9
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1044,c_1887]) ).
cnf(c_6556,plain,
( inverse(sk_c7) = sk_c8
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_5977,c_75]) ).
cnf(c_6577,plain,
( inverse(sk_c8) = sk_c7
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_6556,c_1939]) ).
cnf(c_7087,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_4998,c_5163]) ).
cnf(c_7098,plain,
( inverse(sk_c8) = sk_c7
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_6577,c_7087]) ).
cnf(c_7105,plain,
( sk_c9 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_6499,c_7087]) ).
cnf(c_7124,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_5970,c_7087]) ).
cnf(c_7136,plain,
( sk_c9 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_2647,c_7087]) ).
cnf(c_7141,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(identity,sk_c4) = sk_c9 ),
inference(demodulation,[status(thm)],[c_74,c_7087]) ).
cnf(c_7382,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c9 = sk_c4 ),
inference(demodulation,[status(thm)],[c_7141,c_92]) ).
cnf(c_7528,plain,
( multiply(inverse(X0),sk_c10) != identity
| sk_c9 != identity
| multiply(inverse(X0),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1151]) ).
cnf(c_7529,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c9 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_7528]) ).
cnf(c_8601,plain,
( multiply(sk_c7,sk_c8) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_7098,c_93]) ).
cnf(c_8705,plain,
( sk_c9 = sk_c4
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_8601,c_7382]) ).
cnf(c_8706,plain,
( sk_c9 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_8601,c_6015]) ).
cnf(c_8869,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_8706,c_8705]) ).
cnf(c_8871,plain,
~ sP4_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_7136,c_8869]) ).
cnf(c_8872,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_7124,c_8869]) ).
cnf(c_8873,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_7105,c_8869]) ).
cnf(c_9370,plain,
multiply(sk_c9,inverse(sk_c9)) != sk_c10,
inference(global_subsumption_just,[status(thm)],[c_1216,c_97,c_489,c_1216,c_1988,c_7087,c_7529,c_8873,c_8872,c_8871,c_8869]) ).
cnf(c_9372,plain,
multiply(identity,identity) != identity,
inference(light_normalisation,[status(thm)],[c_9370,c_1887,c_7087,c_8869]) ).
cnf(c_9373,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_9372,c_92]) ).
cnf(c_9374,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_9373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n014.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue Aug 29 01:08:00 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.98/1.17 % SZS status Started for theBenchmark.p
% 3.98/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.98/1.17
% 3.98/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.98/1.17
% 3.98/1.17 ------ iProver source info
% 3.98/1.17
% 3.98/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.98/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.98/1.17 git: non_committed_changes: false
% 3.98/1.17 git: last_make_outside_of_git: false
% 3.98/1.17
% 3.98/1.17 ------ Parsing...successful
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.98/1.17
% 3.98/1.17 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.98/1.17
% 3.98/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.98/1.17 ------ Proving...
% 3.98/1.17 ------ Problem Properties
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17 clauses 51
% 3.98/1.17 conjectures 48
% 3.98/1.17 EPR 1
% 3.98/1.17 Horn 8
% 3.98/1.17 unary 3
% 3.98/1.17 binary 42
% 3.98/1.17 lits 107
% 3.98/1.17 lits eq 97
% 3.98/1.17 fd_pure 0
% 3.98/1.17 fd_pseudo 0
% 3.98/1.17 fd_cond 0
% 3.98/1.17 fd_pseudo_cond 0
% 3.98/1.17 AC symbols 0
% 3.98/1.17
% 3.98/1.17 ------ Schedule dynamic 5 is on
% 3.98/1.17
% 3.98/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17 ------
% 3.98/1.17 Current options:
% 3.98/1.17 ------
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17 ------ Proving...
% 3.98/1.17
% 3.98/1.17
% 3.98/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.98/1.17
% 3.98/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.98/1.17
% 3.98/1.18
%------------------------------------------------------------------------------