TSTP Solution File: GRP420-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:49 EDT 2023
% Result : Unsatisfiable 43.30s 6.18s
% Output : CNFRefutation 43.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 3 RR)
% Number of literals : 74 ( 73 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 198 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_91,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_111,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_91,c_49]) ).
cnf(c_116,plain,
inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)))) = X1,
inference(superposition,[status(thm)],[c_91,c_49]) ).
cnf(c_141,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1) = X3,
inference(superposition,[status(thm)],[c_111,c_111]) ).
cnf(c_144,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = X3,
inference(superposition,[status(thm)],[c_111,c_49]) ).
cnf(c_517,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))),
inference(superposition,[status(thm)],[c_144,c_49]) ).
cnf(c_694,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_517,c_141]) ).
cnf(c_695,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_517,c_144]) ).
cnf(c_698,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_517,c_517]) ).
cnf(c_1131,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_694,c_111]) ).
cnf(c_1237,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_116,c_1131]) ).
cnf(c_1379,plain,
multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),X3)) = multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_49,c_1237]) ).
cnf(c_2179,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_111,c_1379]) ).
cnf(c_3035,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_2179,c_2179]) ).
cnf(c_3272,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))))))),multiply(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_3035,c_49]) ).
cnf(c_3273,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,X2))) = inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_3035,c_49]) ).
cnf(c_3324,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X1,
inference(superposition,[status(thm)],[c_3035,c_695]) ).
cnf(c_3332,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_3035,c_698]) ).
cnf(c_3544,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_3332,c_3332]) ).
cnf(c_3729,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_3544,c_3544]) ).
cnf(c_3730,plain,
multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_3544,c_3035]) ).
cnf(c_4361,plain,
inverse(multiply(X0,inverse(multiply(inverse(X0),X0)))) = inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),
inference(superposition,[status(thm)],[c_3273,c_3272]) ).
cnf(c_5042,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_4361,c_4361]) ).
cnf(c_5462,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_3035,c_3324]) ).
cnf(c_5693,plain,
inverse(inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_5462,c_3544]) ).
cnf(c_6791,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_5693,c_5462]) ).
cnf(c_6882,plain,
inverse(inverse(inverse(multiply(inverse(X0),X0)))) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_5693,c_5693]) ).
cnf(c_16958,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_6791,c_3272]) ).
cnf(c_18105,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_16958,c_3729]) ).
cnf(c_18441,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_18105,c_6791]) ).
cnf(c_18443,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_18105,c_5462]) ).
cnf(c_18446,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,X2))) = inverse(multiply(X2,multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_18105,c_3273]) ).
cnf(c_18520,plain,
inverse(inverse(inverse(multiply(inverse(X0),X0)))) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_18105,c_6882]) ).
cnf(c_18522,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X0,multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_18105,c_5042]) ).
cnf(c_18550,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_18105,c_6791]) ).
cnf(c_18579,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(X0,X2))) = inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),
inference(superposition,[status(thm)],[c_18105,c_3272]) ).
cnf(c_18595,plain,
multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_18105,c_3730]) ).
cnf(c_19933,plain,
multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_18520,c_3035]) ).
cnf(c_29499,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_18105,c_18441]) ).
cnf(c_35116,plain,
inverse(multiply(inverse(X0),multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))))) = X0,
inference(superposition,[status(thm)],[c_18550,c_3272]) ).
cnf(c_81371,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_19933,c_35116]) ).
cnf(c_85167,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(inverse(X2),X2))))))) = X1,
inference(superposition,[status(thm)],[c_81371,c_3272]) ).
cnf(c_85170,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_81371,c_18522]) ).
cnf(c_85171,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_81371,c_18443]) ).
cnf(c_85172,plain,
inverse(multiply(multiply(inverse(X0),X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_81371,c_29499]) ).
cnf(c_85188,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),X1))))) = X0,
inference(demodulation,[status(thm)],[c_5462,c_85171]) ).
cnf(c_85624,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = multiply(multiply(inverse(X2),X2),X0),
inference(superposition,[status(thm)],[c_85172,c_81371]) ).
cnf(c_85684,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(light_normalisation,[status(thm)],[c_85624,c_81371]) ).
cnf(c_85873,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_18595,c_85684]) ).
cnf(c_85944,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_85684,c_1237]) ).
cnf(c_85954,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_85944,c_85684]) ).
cnf(c_87795,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X0))) = X1,
inference(superposition,[status(thm)],[c_85170,c_85167]) ).
cnf(c_89201,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X1)) = inverse(multiply(X1,multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_85873,c_18446]) ).
cnf(c_89692,plain,
inverse(multiply(X0,multiply(inverse(X1),X1))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_89201,c_85171]) ).
cnf(c_89739,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_81371,c_89692]) ).
cnf(c_89764,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_85188,c_89739]) ).
cnf(c_89766,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(X0),
inference(demodulation,[status(thm)],[c_5042,c_89764]) ).
cnf(c_90147,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(X2),multiply(X2,X0))),
inference(light_normalisation,[status(thm)],[c_18579,c_89692]) ).
cnf(c_90148,plain,
inverse(multiply(inverse(X0),multiply(X0,X1))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_90147,c_89766]) ).
cnf(c_90173,plain,
multiply(inverse(X0),multiply(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_90148,c_89739]) ).
cnf(c_90889,plain,
multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_90173,c_90173]) ).
cnf(c_90904,plain,
inverse(inverse(multiply(X0,X1))) = multiply(X0,inverse(inverse(X1))),
inference(light_normalisation,[status(thm)],[c_90889,c_89739]) ).
cnf(c_91082,plain,
multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(light_normalisation,[status(thm)],[c_87795,c_89739]) ).
cnf(c_91113,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_89739,c_91082]) ).
cnf(c_91186,plain,
multiply(inverse(multiply(X0,X1)),inverse(inverse(X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_91113,c_91113]) ).
cnf(c_91198,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_91186,c_89739]) ).
cnf(c_91246,plain,
inverse(inverse(multiply(X0,X1))) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_91113,c_91198]) ).
cnf(c_91264,plain,
multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_91246,c_89739,c_90904]) ).
cnf(c_92465,plain,
multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(inverse(inverse(X0)),multiply(X1,X2)),
inference(superposition,[status(thm)],[c_91113,c_85954]) ).
cnf(c_92523,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_92465,c_89739,c_90904,c_91264]) ).
cnf(c_92539,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_92523]) ).
cnf(c_92541,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_92539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.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 : Tue Aug 29 00:30:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running UEQ theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.30/6.18 % SZS status Started for theBenchmark.p
% 43.30/6.18 % SZS status Unsatisfiable for theBenchmark.p
% 43.30/6.18
% 43.30/6.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 43.30/6.18
% 43.30/6.18 ------ iProver source info
% 43.30/6.18
% 43.30/6.18 git: date: 2023-05-31 18:12:56 +0000
% 43.30/6.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 43.30/6.18 git: non_committed_changes: false
% 43.30/6.18 git: last_make_outside_of_git: false
% 43.30/6.18
% 43.30/6.18 ------ Parsing...successful
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 43.30/6.18
% 43.30/6.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.30/6.18
% 43.30/6.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 43.30/6.18 ------ Proving...
% 43.30/6.18 ------ Problem Properties
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18 clauses 2
% 43.30/6.18 conjectures 1
% 43.30/6.18 EPR 0
% 43.30/6.18 Horn 2
% 43.30/6.18 unary 2
% 43.30/6.18 binary 0
% 43.30/6.18 lits 2
% 43.30/6.18 lits eq 2
% 43.30/6.18 fd_pure 0
% 43.30/6.18 fd_pseudo 0
% 43.30/6.18 fd_cond 0
% 43.30/6.18 fd_pseudo_cond 0
% 43.30/6.18 AC symbols 0
% 43.30/6.18
% 43.30/6.18 ------ Input Options Time Limit: Unbounded
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18 ------
% 43.30/6.18 Current options:
% 43.30/6.18 ------
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18 ------ Proving...
% 43.30/6.18
% 43.30/6.18
% 43.30/6.18 % SZS status Unsatisfiable for theBenchmark.p
% 43.30/6.18
% 43.30/6.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.30/6.18
% 43.30/6.19
%------------------------------------------------------------------------------