TSTP Solution File: GRP416-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Fri May 3 02:22:31 EDT 2024
% Result : Unsatisfiable 38.84s 5.64s
% Output : CNFRefutation 38.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 5 RR)
% Number of literals : 45 ( 44 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_93,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_121,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_131,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_202,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_131,c_49]) ).
cnf(c_277,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[status(thm)],[c_202,c_131]) ).
cnf(c_293,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_202,c_49]) ).
cnf(c_300,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_202,c_121]) ).
cnf(c_410,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[status(thm)],[c_49,c_277]) ).
cnf(c_913,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))))))))) = X2,
inference(superposition,[status(thm)],[c_410,c_49]) ).
cnf(c_1023,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_121,c_913]) ).
cnf(c_1363,plain,
inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))))))))))) = X3,
inference(superposition,[status(thm)],[c_1023,c_913]) ).
cnf(c_15282,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))) = inverse(multiply(X0,inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X2))))),
inference(superposition,[status(thm)],[c_1363,c_300]) ).
cnf(c_15695,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2))))))) = inverse(multiply(X0,inverse(multiply(inverse(X3),X3)))),
inference(superposition,[status(thm)],[c_293,c_15282]) ).
cnf(c_16643,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_15695,c_15695]) ).
cnf(c_17133,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X0),X0)))))) = multiply(X2,inverse(multiply(inverse(X4),X4))),
inference(superposition,[status(thm)],[c_16643,c_49]) ).
cnf(c_17155,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3)))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_49]) ).
cnf(c_17198,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_121]) ).
cnf(c_17216,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_131]) ).
cnf(c_17253,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X3),X3)))))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_277]) ).
cnf(c_17259,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X3),X3)))) = X2,
inference(superposition,[status(thm)],[c_16643,c_300]) ).
cnf(c_17270,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_16643,c_913]) ).
cnf(c_18442,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_17133,c_17133]) ).
cnf(c_20901,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),X3)))) = inverse(multiply(inverse(X4),X4)),
inference(superposition,[status(thm)],[c_18442,c_17259]) ).
cnf(c_21045,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(X2),X2)),
inference(light_normalisation,[status(thm)],[c_20901,c_17270]) ).
cnf(c_21408,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_21045,c_21045]) ).
cnf(c_22043,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17155]) ).
cnf(c_22055,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_21408,c_21408]) ).
cnf(c_22098,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17198]) ).
cnf(c_22116,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17216]) ).
cnf(c_22569,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_22055,c_17253]) ).
cnf(c_22741,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(light_normalisation,[status(thm)],[c_22569,c_22098]) ).
cnf(c_23295,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_22741,c_50]) ).
cnf(c_23552,plain,
multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),a2) != a2,
inference(superposition,[status(thm)],[c_21408,c_23295]) ).
cnf(c_30812,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_22116,c_22741]) ).
cnf(c_31570,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_30812,c_17253]) ).
cnf(c_31599,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_30812,c_22116]) ).
cnf(c_31601,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_30812,c_22043]) ).
cnf(c_31845,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(light_normalisation,[status(thm)],[c_31570,c_22098]) ).
cnf(c_31856,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2))))) = X2,
inference(demodulation,[status(thm)],[c_17259,c_31601]) ).
cnf(c_32677,plain,
multiply(inverse(multiply(inverse(X0),X0)),a2) != a2,
inference(superposition,[status(thm)],[c_31845,c_23552]) ).
cnf(c_34999,plain,
multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_31845,c_31599]) ).
cnf(c_42938,plain,
multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(superposition,[status(thm)],[c_34999,c_31856]) ).
cnf(c_43346,plain,
$false,
inference(superposition,[status(thm)],[c_42938,c_32677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 00:18:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running UEQ theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 38.84/5.64 % SZS status Started for theBenchmark.p
% 38.84/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 38.84/5.64
% 38.84/5.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.84/5.64
% 38.84/5.64 ------ iProver source info
% 38.84/5.64
% 38.84/5.64 git: date: 2024-05-02 19:28:25 +0000
% 38.84/5.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.84/5.64 git: non_committed_changes: false
% 38.84/5.64
% 38.84/5.64 ------ Parsing...successful
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 38.84/5.64
% 38.84/5.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.84/5.64
% 38.84/5.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 38.84/5.64 ------ Proving...
% 38.84/5.64 ------ Problem Properties
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64 clauses 2
% 38.84/5.64 conjectures 1
% 38.84/5.64 EPR 0
% 38.84/5.64 Horn 2
% 38.84/5.64 unary 2
% 38.84/5.64 binary 0
% 38.84/5.64 lits 2
% 38.84/5.64 lits eq 2
% 38.84/5.64 fd_pure 0
% 38.84/5.64 fd_pseudo 0
% 38.84/5.64 fd_cond 0
% 38.84/5.64 fd_pseudo_cond 0
% 38.84/5.64 AC symbols 0
% 38.84/5.64
% 38.84/5.64 ------ Input Options Time Limit: Unbounded
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64 ------
% 38.84/5.64 Current options:
% 38.84/5.64 ------
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64 ------ Proving...
% 38.84/5.64
% 38.84/5.64
% 38.84/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 38.84/5.64
% 38.84/5.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.84/5.64
% 38.84/5.65
%------------------------------------------------------------------------------