TSTP Solution File: GRP208-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 00:58:41 EDT 2023
% Result : Unsatisfiable 0.52s 1.20s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 24
% Syntax : Number of clauses : 126 ( 33 unt; 48 nHn; 111 RR)
% Number of literals : 284 ( 239 equ; 134 neg)
% Maximal clause size : 16 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 68 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_101,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
cnf(c_102,negated_conjecture,
( inverse(sk_c7) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
cnf(c_103,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
cnf(c_104,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_105,negated_conjecture,
( inverse(sk_c8) = sk_c9
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
cnf(c_106,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
cnf(c_107,negated_conjecture,
( inverse(sk_c10) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
cnf(c_108,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
cnf(c_109,negated_conjecture,
( multiply(X0,X1) != sk_c12
| multiply(X2,X3) != sk_c12
| multiply(X4,X5) != sk_c11
| multiply(X1,sk_c11) != sk_c12
| multiply(X3,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c12) != X7
| multiply(X8,sk_c11) != sk_c12
| multiply(X9,sk_c12) != sk_c11
| multiply(sk_c12,X7) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != X5
| inverse(X6) != sk_c12
| inverse(X8) != sk_c12
| inverse(X9) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_111,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_112,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_113,negated_conjecture,
( multiply(sk_c12,multiply(X0,sk_c12)) != sk_c11
| multiply(X1,inverse(X1)) != sk_c12
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,inverse(X3)) != sk_c11
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(inverse(X3),sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11 ),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_654,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c12) != sk_c11
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_113]) ).
cnf(c_655,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c12
| multiply(inverse(X0),sk_c11) != sk_c12
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_113]) ).
cnf(c_656,negated_conjecture,
( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_113]) ).
cnf(c_657,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c11
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_113]) ).
cnf(c_658,negated_conjecture,
( multiply(sk_c12,multiply(X0,sk_c12)) != sk_c11
| inverse(X0) != sk_c12
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_113]) ).
cnf(c_659,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_113]) ).
cnf(c_660,plain,
X0 = X0,
theory(equality) ).
cnf(c_661,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_662,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_666,plain,
sk_c12 = sk_c12,
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1287,plain,
( inverse(sk_c6) != sk_c12
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_101,c_656]) ).
cnf(c_1293,plain,
( inverse(sk_c7) != sk_c12
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_103,c_656]) ).
cnf(c_1299,plain,
( inverse(identity) != sk_c12
| sk_c12 != sk_c11
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_656]) ).
cnf(c_1371,plain,
( inverse(sk_c10) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_108,c_657]) ).
cnf(c_1377,plain,
( inverse(identity) != sk_c11
| sk_c12 != sk_c11
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_657]) ).
cnf(c_1534,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_1535,plain,
( X0 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_1534]) ).
cnf(c_1536,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1591,plain,
( multiply(sk_c8,sk_c9) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1535]) ).
cnf(c_1592,plain,
( multiply(sk_c9,sk_c12) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(instantiation,[status(thm)],[c_1535]) ).
cnf(c_1598,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_1607,plain,
( multiply(sk_c11,inverse(sk_c11)) != sk_c12
| sk_c12 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_111,c_655]) ).
cnf(c_1666,plain,
( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c12,X0)
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_99,c_112]) ).
cnf(c_1712,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_1937,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c11 != multiply(sk_c8,sk_c9)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_1939,plain,
( X0 != multiply(sk_c9,sk_c12)
| sk_c11 != multiply(sk_c9,sk_c12)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_1965,plain,
( X0 != sk_c8
| X1 != sk_c9
| multiply(X0,X1) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_1977,plain,
( X0 != sk_c9
| X1 != sk_c12
| multiply(X0,X1) = multiply(sk_c9,sk_c12) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_2052,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1712,c_110]) ).
cnf(c_2077,plain,
( multiply(inverse(sk_c7),sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(superposition,[status(thm)],[c_93,c_2052]) ).
cnf(c_2078,plain,
( multiply(inverse(sk_c7),sk_c12) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(superposition,[status(thm)],[c_83,c_2052]) ).
cnf(c_2081,plain,
( multiply(inverse(sk_c7),sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_103,c_2052]) ).
cnf(c_2113,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_2052]) ).
cnf(c_2114,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_2052]) ).
cnf(c_2124,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2052,c_2052]) ).
cnf(c_2321,plain,
( X0 != sk_c9
| sk_c8 != sk_c8
| multiply(sk_c8,X0) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1965]) ).
cnf(c_2322,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_2341,plain,
( inverse(sk_c8) != sk_c9
| X0 != sk_c12
| multiply(inverse(sk_c8),X0) = multiply(sk_c9,sk_c12) ),
inference(instantiation,[status(thm)],[c_1977]) ).
cnf(c_2342,plain,
( inverse(sk_c8) != sk_c9
| sk_c12 != sk_c12
| multiply(inverse(sk_c8),sk_c12) = multiply(sk_c9,sk_c12) ),
inference(instantiation,[status(thm)],[c_2341]) ).
cnf(c_2472,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2114,c_2124]) ).
cnf(c_2480,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2472,c_2113]) ).
cnf(c_2511,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2124,c_111]) ).
cnf(c_2517,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_2124,c_2052]) ).
cnf(c_2518,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2124,c_2472]) ).
cnf(c_2519,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2518,c_2472]) ).
cnf(c_2552,plain,
( multiply(inverse(X0),sk_c11) != sk_c12
| sk_c12 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_655,c_2511]) ).
cnf(c_2553,plain,
( multiply(inverse(X0),sk_c12) != sk_c11
| sk_c11 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_654,c_2511]) ).
cnf(c_2575,plain,
( multiply(inverse(sk_c12),sk_c11) != sk_c12
| sk_c12 != identity
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_2552]) ).
cnf(c_2620,plain,
( inverse(sk_c1) = sk_c2
| inverse(sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_60,c_2519]) ).
cnf(c_2623,plain,
( inverse(sk_c9) = sk_c8
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_105,c_2519]) ).
cnf(c_2990,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_2620,c_111]) ).
cnf(c_3042,plain,
( multiply(sk_c8,sk_c9) = identity
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_2623,c_111]) ).
cnf(c_3088,plain,
( multiply(inverse(sk_c8),X0) != multiply(sk_c9,sk_c12)
| sk_c11 != multiply(sk_c9,sk_c12)
| multiply(inverse(sk_c8),X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1939]) ).
cnf(c_3090,plain,
( multiply(inverse(sk_c8),sk_c12) != multiply(sk_c9,sk_c12)
| sk_c11 != multiply(sk_c9,sk_c12)
| multiply(inverse(sk_c8),sk_c12) = sk_c11 ),
inference(instantiation,[status(thm)],[c_3088]) ).
cnf(c_3270,plain,
( inverse(inverse(sk_c12)) != sk_c12
| sk_c12 != sk_c11
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_2517,c_658]) ).
cnf(c_3293,plain,
( sk_c12 != sk_c11
| ~ sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_3270,c_2519]) ).
cnf(c_3727,plain,
( inverse(sk_c1) = sk_c2
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_2990,c_59]) ).
cnf(c_3745,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3727,c_2511]) ).
cnf(c_4005,plain,
( inverse(sk_c8) != sk_c9
| sk_c8 != sk_c8
| multiply(sk_c8,inverse(sk_c8)) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_2321]) ).
cnf(c_4175,plain,
( multiply(sk_c12,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_102,c_2081]) ).
cnf(c_4220,plain,
( multiply(inverse(sk_c12),sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
inference(superposition,[status(thm)],[c_4175,c_2052]) ).
cnf(c_4360,plain,
( inverse(sk_c3) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3042,c_104]) ).
cnf(c_4503,plain,
( inverse(sk_c5) = sk_c6
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3745,c_50]) ).
cnf(c_4612,plain,
( multiply(sk_c5,sk_c6) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_4503,c_2511]) ).
cnf(c_6520,plain,
( multiply(sk_c8,inverse(sk_c8)) != multiply(sk_c8,sk_c9)
| sk_c11 != multiply(sk_c8,sk_c9)
| multiply(sk_c8,inverse(sk_c8)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1937]) ).
cnf(c_6720,plain,
( multiply(inverse(sk_c8),sk_c12) != sk_c11
| multiply(sk_c8,inverse(sk_c8)) != sk_c11
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_654]) ).
cnf(c_6968,plain,
( ~ sP2_iProver_split
| inverse(sk_c3) = sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_1287,c_102,c_1293]) ).
cnf(c_7338,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_4612,c_49]) ).
cnf(c_7466,plain,
sk_c12 = identity,
inference(superposition,[status(thm)],[c_7338,c_3745]) ).
cnf(c_7531,plain,
( sk_c11 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_3293,c_7466]) ).
cnf(c_7577,plain,
( multiply(sk_c3,identity) = sk_c4
| inverse(sk_c7) = identity ),
inference(demodulation,[status(thm)],[c_92,c_7466]) ).
cnf(c_7581,plain,
( multiply(identity,sk_c4) = sk_c11
| inverse(sk_c7) = identity ),
inference(demodulation,[status(thm)],[c_82,c_7466]) ).
cnf(c_7983,plain,
inverse(sk_c3) = sk_c12,
inference(global_subsumption_just,[status(thm)],[c_1666,c_107,c_105,c_106,c_104,c_666,c_659,c_1371,c_1536,c_1591,c_1592,c_2322,c_2342,c_2575,c_3090,c_4005,c_4220,c_4360,c_6520,c_6720,c_6968,c_7466,c_7531]) ).
cnf(c_7985,plain,
inverse(sk_c3) = identity,
inference(light_normalisation,[status(thm)],[c_7983,c_7466]) ).
cnf(c_7992,plain,
inverse(identity) = sk_c3,
inference(superposition,[status(thm)],[c_7985,c_2519]) ).
cnf(c_7995,plain,
sk_c3 = identity,
inference(light_normalisation,[status(thm)],[c_7992,c_2480]) ).
cnf(c_8012,plain,
( sk_c11 != identity
| identity != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1299,c_2480,c_7466]) ).
cnf(c_8013,plain,
( sk_c11 != identity
| ~ sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_8012]) ).
cnf(c_8112,plain,
( multiply(identity,identity) = sk_c4
| inverse(sk_c7) = identity ),
inference(light_normalisation,[status(thm)],[c_7577,c_7995]) ).
cnf(c_8113,plain,
( inverse(sk_c7) = identity
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_8112,c_110]) ).
cnf(c_8204,plain,
( inverse(sk_c7) = identity
| sk_c11 = sk_c4 ),
inference(demodulation,[status(thm)],[c_7581,c_110]) ).
cnf(c_8563,plain,
( sk_c11 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1377,c_2480,c_7466]) ).
cnf(c_9231,plain,
( multiply(inverse(sk_c7),identity) = sk_c11
| multiply(identity,identity) = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_2077,c_7466,c_7995]) ).
cnf(c_9232,plain,
( inverse(sk_c7) = sk_c11
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_9231,c_110,c_2472]) ).
cnf(c_9242,plain,
( sk_c11 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_9232,c_8113]) ).
cnf(c_9259,plain,
( multiply(inverse(sk_c7),identity) = sk_c11
| multiply(identity,sk_c4) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_2078,c_7466]) ).
cnf(c_9260,plain,
( inverse(sk_c7) = sk_c11
| sk_c11 = sk_c4 ),
inference(demodulation,[status(thm)],[c_9259,c_110,c_2472]) ).
cnf(c_9269,plain,
( sk_c11 = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_9260,c_8204]) ).
cnf(c_9435,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_9242,c_9269]) ).
cnf(c_9437,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8563,c_9435]) ).
cnf(c_9438,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8013,c_9435]) ).
cnf(c_9439,plain,
~ sP4_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_7531,c_9435]) ).
cnf(c_9496,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_659,c_9437]) ).
cnf(c_9501,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9496,c_9438]) ).
cnf(c_9505,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9501,c_9439]) ).
cnf(c_11373,plain,
( multiply(sk_c11,inverse(sk_c11)) != sk_c12
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1607,c_1607,c_7466]) ).
cnf(c_11375,plain,
( multiply(identity,identity) != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_11373,c_2480,c_7466,c_9435]) ).
cnf(c_11376,plain,
( identity != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_11375,c_110]) ).
cnf(c_11377,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_11376]) ).
cnf(c_11378,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_9505,c_11377]) ).
cnf(c_11494,plain,
multiply(inverse(X0),sk_c12) != sk_c11,
inference(global_subsumption_just,[status(thm)],[c_2553,c_2553,c_9435,c_11378]) ).
cnf(c_11497,plain,
multiply(inverse(X0),identity) != identity,
inference(light_normalisation,[status(thm)],[c_11494,c_7466,c_9435]) ).
cnf(c_11498,plain,
inverse(X0) != identity,
inference(demodulation,[status(thm)],[c_11497,c_2472]) ).
cnf(c_11499,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2480,c_11498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.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 : Mon Aug 28 22:32:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.52/1.20 % SZS status Started for theBenchmark.p
% 0.52/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.52/1.20
% 0.52/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.52/1.20
% 0.52/1.20 ------ iProver source info
% 0.52/1.20
% 0.52/1.20 git: date: 2023-05-31 18:12:56 +0000
% 0.52/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.52/1.20 git: non_committed_changes: false
% 0.52/1.20 git: last_make_outside_of_git: false
% 0.52/1.20
% 0.52/1.20 ------ Parsing...successful
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.52/1.20
% 0.52/1.20 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.52/1.20
% 0.52/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.52/1.20 ------ Proving...
% 0.52/1.20 ------ Problem Properties
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 clauses 69
% 0.52/1.20 conjectures 66
% 0.52/1.20 EPR 1
% 0.52/1.20 Horn 8
% 0.52/1.20 unary 3
% 0.52/1.20 binary 60
% 0.52/1.20 lits 143
% 0.52/1.20 lits eq 133
% 0.52/1.20 fd_pure 0
% 0.52/1.20 fd_pseudo 0
% 0.52/1.20 fd_cond 0
% 0.52/1.20 fd_pseudo_cond 0
% 0.52/1.20 AC symbols 0
% 0.52/1.20
% 0.52/1.20 ------ Schedule dynamic 5 is on
% 0.52/1.20
% 0.52/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 ------
% 0.52/1.20 Current options:
% 0.52/1.20 ------
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 ------ Proving...
% 0.52/1.20
% 0.52/1.20
% 0.52/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.52/1.20
% 0.52/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.81/1.21
% 0.81/1.21
%------------------------------------------------------------------------------