TSTP Solution File: GRP247-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 27
% Syntax : Number of clauses : 164 ( 52 unt; 73 nHn; 137 RR)
% Number of literals : 321 ( 286 equ; 101 neg)
% Maximal clause size : 12 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_437,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_85]) ).
cnf(c_438,negated_conjecture,
( multiply(X0,sk_c7) != sk_c9
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_85]) ).
cnf(c_439,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_85]) ).
cnf(c_440,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_85]) ).
cnf(c_441,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
cnf(c_442,plain,
X0 = X0,
theory(equality) ).
cnf(c_443,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_445,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_448,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_442]) ).
cnf(c_872,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_980,plain,
( multiply(sk_c1,sk_c9) != sk_c8
| inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_999,plain,
( inverse(X0) != X1
| sk_c9 != X1
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_1031,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_872,c_86]) ).
cnf(c_1055,plain,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_1031]) ).
cnf(c_1068,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_1031]) ).
cnf(c_1069,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1031]) ).
cnf(c_1080,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1031,c_1031]) ).
cnf(c_1169,plain,
( inverse(X0) != inverse(X1)
| sk_c9 != inverse(X1)
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1176,plain,
( inverse(X0) != X1
| sk_c9 != X1
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_1217,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_437]) ).
cnf(c_1221,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_49,c_437]) ).
cnf(c_1223,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_437]) ).
cnf(c_1278,plain,
( inverse(sk_c3) != sk_c9
| ~ sP1_iProver_split
| multiply(sk_c6,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_438]) ).
cnf(c_1346,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_439]) ).
cnf(c_1420,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1176]) ).
cnf(c_1421,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_1176]) ).
cnf(c_1642,plain,
( inverse(X0) != inverse(sk_c6)
| sk_c9 != inverse(sk_c6)
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1169]) ).
cnf(c_1643,plain,
( inverse(sk_c9) != inverse(sk_c6)
| sk_c9 != inverse(sk_c6)
| inverse(sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1642]) ).
cnf(c_1666,plain,
( inverse(X0) != inverse(sk_c1)
| sk_c9 != inverse(sk_c1)
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1169]) ).
cnf(c_1667,plain,
( inverse(sk_c9) != inverse(sk_c1)
| sk_c9 != inverse(sk_c1)
| inverse(sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1666]) ).
cnf(c_1803,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1069,c_1080]) ).
cnf(c_1809,plain,
multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1803,c_88]) ).
cnf(c_1812,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1803,c_1068]) ).
cnf(c_1966,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2073,plain,
( multiply(inverse(sk_c8),X0) = multiply(sk_c2,X0)
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_71,c_1080]) ).
cnf(c_2080,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1080,c_87]) ).
cnf(c_2086,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1080,c_1031]) ).
cnf(c_2087,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1080,c_1803]) ).
cnf(c_2088,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2087,c_1803]) ).
cnf(c_2121,plain,
inverse(inverse(sk_c9)) = sk_c9,
inference(instantiation,[status(thm)],[c_2088]) ).
cnf(c_2164,plain,
( inverse(sk_c1) = sk_c9
| inverse(sk_c9) = sk_c6 ),
inference(superposition,[status(thm)],[c_59,c_2088]) ).
cnf(c_2281,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c9) = sk_c6 ),
inference(superposition,[status(thm)],[c_2164,c_2088]) ).
cnf(c_2455,plain,
( multiply(sk_c4,sk_c9) = identity
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_2080]) ).
cnf(c_2458,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_58,c_2080]) ).
cnf(c_2466,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_2080]) ).
cnf(c_2467,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_68,c_2080]) ).
cnf(c_2476,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_2080,c_88]) ).
cnf(c_2633,plain,
( multiply(sk_c3,multiply(sk_c9,X0)) = X0
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_77,c_2086]) ).
cnf(c_2786,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_2281,c_2088]) ).
cnf(c_2830,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2455,c_55]) ).
cnf(c_2895,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2830,c_2080]) ).
cnf(c_2896,plain,
( inverse(sk_c9) = sk_c1
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2830,c_2088]) ).
cnf(c_2931,plain,
( inverse(sk_c1) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2458,c_57]) ).
cnf(c_2980,plain,
( inverse(sk_c9) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2931,c_2088]) ).
cnf(c_3004,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1966,c_86]) ).
cnf(c_3042,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_3004]) ).
cnf(c_3053,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3004,c_3004]) ).
cnf(c_3210,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2466,c_64]) ).
cnf(c_3330,plain,
( inverse(sk_c8) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3210,c_2088]) ).
cnf(c_3512,plain,
( X0 != sk_c6
| inverse(X0) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_3513,plain,
( sk_c9 != sk_c6
| inverse(sk_c9) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3512]) ).
cnf(c_3542,plain,
( inverse(sk_c4) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2467,c_62]) ).
cnf(c_3568,plain,
( inverse(sk_c9) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3542,c_2088]) ).
cnf(c_3591,plain,
( X0 != sk_c1
| inverse(X0) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_3592,plain,
( sk_c9 != sk_c1
| inverse(sk_c9) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_3591]) ).
cnf(c_4099,plain,
( sk_c1 = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3568,c_2980]) ).
cnf(c_4343,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_59,c_1055]) ).
cnf(c_4363,plain,
( inverse(sk_c9) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_4343,c_437]) ).
cnf(c_4506,negated_conjecture,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_437,c_980,c_1217,c_1223,c_1221,c_2121,c_2830]) ).
cnf(c_4751,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4099,c_49]) ).
cnf(c_4937,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4751,c_437]) ).
cnf(c_5267,plain,
( multiply(sk_c3,multiply(sk_c7,inverse(sk_c9))) = identity
| multiply(sk_c6,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_2476]) ).
cnf(c_5271,plain,
( multiply(sk_c3,multiply(sk_c7,inverse(sk_c9))) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_2476]) ).
cnf(c_6270,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_4937,c_4506]) ).
cnf(c_6272,plain,
( sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_441,c_6270]) ).
cnf(c_6545,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3042,c_3053]) ).
cnf(c_6870,plain,
( X0 != X1
| sk_c1 != X1
| X0 = sk_c1 ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_6871,plain,
( sk_c1 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c1 ),
inference(instantiation,[status(thm)],[c_6870]) ).
cnf(c_6970,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3053,c_6545]) ).
cnf(c_6971,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6970,c_6545]) ).
cnf(c_7536,plain,
( inverse(sk_c1) = sk_c9
| inverse(sk_c9) = sk_c4 ),
inference(superposition,[status(thm)],[c_56,c_6971]) ).
cnf(c_7647,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2895,c_50]) ).
cnf(c_7868,plain,
( inverse(sk_c9) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_7647,c_2088]) ).
cnf(c_7906,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c9) = sk_c4 ),
inference(superposition,[status(thm)],[c_7536,c_6971]) ).
cnf(c_8381,plain,
( sk_c1 = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_7868,c_2896]) ).
cnf(c_9014,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_8381,c_49]) ).
cnf(c_9166,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_9014,c_2895]) ).
cnf(c_9221,plain,
( inverse(identity) = sk_c5
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_3330,c_9166]) ).
cnf(c_9248,plain,
( multiply(X0,identity) != sk_c9
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_440,c_9166]) ).
cnf(c_9254,plain,
( multiply(sk_c6,identity) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_9166]) ).
cnf(c_9258,plain,
( multiply(sk_c5,identity) = sk_c7
| multiply(sk_c2,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_9166]) ).
cnf(c_9264,plain,
( multiply(sk_c6,identity) = sk_c9
| inverse(sk_c3) = sk_c9 ),
inference(demodulation,[status(thm)],[c_78,c_9166]) ).
cnf(c_9268,plain,
( multiply(sk_c5,identity) = sk_c7
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_69,c_9166]) ).
cnf(c_9273,plain,
( multiply(sk_c6,identity) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(demodulation,[status(thm)],[c_60,c_9166]) ).
cnf(c_9357,plain,
( inverse(X0) != sk_c9
| X0 != sk_c9
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_9248,c_1803]) ).
cnf(c_9419,plain,
( sk_c5 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_9221,c_1812]) ).
cnf(c_9541,plain,
( inverse(sk_c9) != sk_c9
| sk_c9 != sk_c9
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_9357]) ).
cnf(c_9632,plain,
( inverse(sk_c3) = sk_c9
| sk_c9 = sk_c6 ),
inference(demodulation,[status(thm)],[c_9264,c_1803]) ).
cnf(c_9639,plain,
( multiply(sk_c3,multiply(sk_c9,X0)) = X0
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_9632,c_2086]) ).
cnf(c_9922,plain,
( inverse(sk_c2) = identity
| sk_c5 = sk_c7 ),
inference(demodulation,[status(thm)],[c_9268,c_1803]) ).
cnf(c_9929,plain,
( inverse(identity) = sk_c2
| sk_c5 = sk_c7 ),
inference(superposition,[status(thm)],[c_9922,c_2088]) ).
cnf(c_9932,plain,
( sk_c5 = sk_c7
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_9929,c_1812]) ).
cnf(c_10677,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = sk_c6 ),
inference(demodulation,[status(thm)],[c_9273,c_1803]) ).
cnf(c_10684,plain,
( inverse(sk_c9) = sk_c1
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_10677,c_2088]) ).
cnf(c_10883,plain,
( multiply(sk_c3,sk_c7) = sk_c9
| sk_c9 = sk_c6 ),
inference(demodulation,[status(thm)],[c_9254,c_1803]) ).
cnf(c_10890,plain,
( inverse(sk_c3) != sk_c9
| ~ sP1_iProver_split
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_10883,c_438]) ).
cnf(c_11244,plain,
( sk_c5 = sk_c7
| sk_c7 = sk_c2 ),
inference(demodulation,[status(thm)],[c_9258,c_1803]) ).
cnf(c_11252,plain,
( sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_11244,c_9932]) ).
cnf(c_12293,plain,
( multiply(sk_c6,sk_c8) != sk_c9
| inverse(sk_c6) != sk_c9
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_12366,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_11252,c_9419]) ).
cnf(c_12394,plain,
( multiply(X0,identity) != sk_c9
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_438,c_12366]) ).
cnf(c_12395,plain,
( multiply(sk_c3,identity) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(demodulation,[status(thm)],[c_83,c_12366]) ).
cnf(c_12401,plain,
( inverse(X0) != sk_c9
| X0 != sk_c9
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_12394,c_1803]) ).
cnf(c_12432,plain,
( inverse(sk_c9) != sk_c9
| sk_c9 != sk_c9
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_12401]) ).
cnf(c_12437,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = sk_c3 ),
inference(demodulation,[status(thm)],[c_12395,c_1803]) ).
cnf(c_12487,plain,
( identity != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1346,c_1812,c_9166,c_12366]) ).
cnf(c_12488,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_12487]) ).
cnf(c_12489,plain,
( sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_6272,c_12488]) ).
cnf(c_12693,plain,
multiply(sk_c3,multiply(sk_c9,X0)) = X0,
inference(global_subsumption_just,[status(thm)],[c_2633,c_448,c_1420,c_1643,c_2633,c_3513,c_9541,c_9639,c_12432,c_12489]) ).
cnf(c_12708,plain,
multiply(sk_c3,identity) = inverse(sk_c9),
inference(superposition,[status(thm)],[c_2080,c_12693]) ).
cnf(c_12988,plain,
inverse(sk_c9) = sk_c1,
inference(global_subsumption_just,[status(thm)],[c_7906,c_448,c_1420,c_1643,c_2786,c_3513,c_9541,c_10684,c_12432,c_12489]) ).
cnf(c_13010,plain,
inverse(sk_c1) = sk_c9,
inference(superposition,[status(thm)],[c_12988,c_6971]) ).
cnf(c_13479,plain,
inverse(sk_c9) = sk_c3,
inference(demodulation,[status(thm)],[c_12708,c_1803]) ).
cnf(c_13519,plain,
inverse(sk_c3) = sk_c9,
inference(superposition,[status(thm)],[c_13479,c_2088]) ).
cnf(c_13528,plain,
inverse(sk_c1) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_4363,c_13010]) ).
cnf(c_13542,plain,
inverse(sk_c9) = sk_c1,
inference(superposition,[status(thm)],[c_13528,c_2088]) ).
cnf(c_13545,plain,
sk_c1 = sk_c3,
inference(demodulation,[status(thm)],[c_13479,c_13542]) ).
cnf(c_13552,plain,
( inverse(sk_c6) = sk_c9
| sk_c1 = sk_c9 ),
inference(demodulation,[status(thm)],[c_12437,c_13545]) ).
cnf(c_13568,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_1278,c_448,c_1420,c_1421,c_1643,c_1667,c_3513,c_3592,c_6871,c_9541,c_10890,c_12432,c_12489,c_13010,c_13519,c_13552]) ).
cnf(c_13635,plain,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_2073,c_448,c_1421,c_1667,c_3592,c_6871,c_9541,c_12489,c_13010,c_13552,c_13568]) ).
cnf(c_13639,plain,
inverse(sk_c9) = sk_c6,
inference(superposition,[status(thm)],[c_13635,c_2088]) ).
cnf(c_13642,plain,
sk_c1 = sk_c6,
inference(light_normalisation,[status(thm)],[c_13639,c_13542]) ).
cnf(c_13754,plain,
multiply(sk_c3,multiply(sk_c7,inverse(sk_c9))) = identity,
inference(global_subsumption_just,[status(thm)],[c_5271,c_448,c_1420,c_1421,c_1643,c_1667,c_3513,c_3592,c_5267,c_6871,c_9541,c_10890,c_12293,c_12432,c_12489,c_13010,c_13519,c_13552]) ).
cnf(c_13756,plain,
multiply(sk_c1,multiply(identity,sk_c1)) = identity,
inference(light_normalisation,[status(thm)],[c_13754,c_12366,c_13542,c_13545]) ).
cnf(c_13757,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm)],[c_13756,c_1809]) ).
cnf(c_13758,plain,
multiply(inverse(sk_c1),identity) = sk_c1,
inference(superposition,[status(thm)],[c_13757,c_1031]) ).
cnf(c_13760,plain,
multiply(sk_c9,identity) = sk_c1,
inference(light_normalisation,[status(thm)],[c_13758,c_13528]) ).
cnf(c_13789,plain,
sk_c1 = sk_c9,
inference(demodulation,[status(thm)],[c_13760,c_1803]) ).
cnf(c_13793,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm)],[c_13642,c_13789]) ).
cnf(c_13799,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13793,c_13568,c_13552,c_13010,c_12489,c_9541,c_6871,c_3592,c_3513,c_1667,c_1643,c_1421,c_1420,c_448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:47:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...successful
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 44
% 0.48/1.17 conjectures 41
% 0.48/1.17 EPR 1
% 0.48/1.17 Horn 7
% 0.48/1.17 unary 3
% 0.48/1.17 binary 36
% 0.48/1.17 lits 91
% 0.48/1.17 lits eq 83
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 0
% 0.48/1.17 fd_pseudo_cond 0
% 0.48/1.17 AC symbols 0
% 0.48/1.17
% 0.48/1.17 ------ Schedule dynamic 5 is on
% 0.48/1.17
% 0.48/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Proving...
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------