TSTP Solution File: GRP440-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP440-1 : 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 : Fri May 3 02:22:36 EDT 2024
% Result : Unsatisfiable 39.29s 5.60s
% Output : CNFRefutation 39.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 7 RR)
% Number of literals : 43 ( 42 equ; 5 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_92,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)))) = X4,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_103,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_119,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X2,multiply(X6,X8)))))),
inference(superposition,[status(thm)],[c_49,c_103]) ).
cnf(c_1408,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
inference(superposition,[status(thm)],[c_119,c_103]) ).
cnf(c_1808,plain,
multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(X0,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(inverse(X2),multiply(inverse(X1),X5))))))))))) = X3,
inference(superposition,[status(thm)],[c_1408,c_1408]) ).
cnf(c_2521,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_1408,c_1808]) ).
cnf(c_2838,plain,
inverse(multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X0,multiply(X1,multiply(X4,inverse(multiply(inverse(X2),X4))))))))))) = X3,
inference(superposition,[status(thm)],[c_2521,c_49]) ).
cnf(c_3398,plain,
inverse(multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[status(thm)],[c_1408,c_2838]) ).
cnf(c_4030,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3))) = X0,
inference(superposition,[status(thm)],[c_3398,c_1408]) ).
cnf(c_4195,plain,
inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(X5,X4)))),X5))))))))) = X2,
inference(superposition,[status(thm)],[c_4030,c_49]) ).
cnf(c_11815,plain,
inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X0)))))) = X2,
inference(superposition,[status(thm)],[c_4030,c_4195]) ).
cnf(c_12804,plain,
inverse(multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2)))) = inverse(X0),
inference(superposition,[status(thm)],[c_3398,c_11815]) ).
cnf(c_12864,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(X2,X3)))),X2)))) = X3,
inference(superposition,[status(thm)],[c_11815,c_49]) ).
cnf(c_12946,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(X2,inverse(X3))))),X2))) = X3,
inference(superposition,[status(thm)],[c_11815,c_1408]) ).
cnf(c_13381,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),X2)),inverse(X3))))) = multiply(X3,multiply(X4,inverse(multiply(X2,X4)))),
inference(superposition,[status(thm)],[c_12804,c_49]) ).
cnf(c_13457,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = multiply(multiply(X3,multiply(X4,inverse(multiply(X5,X4)))),multiply(X6,multiply(inverse(X6),X5))),
inference(superposition,[status(thm)],[c_12804,c_1408]) ).
cnf(c_13491,plain,
multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))) = X0,
inference(light_normalisation,[status(thm)],[c_13457,c_1408]) ).
cnf(c_15792,plain,
multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(multiply(X2,X3)))) = X0,
inference(superposition,[status(thm)],[c_13381,c_49]) ).
cnf(c_15927,plain,
multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)))) = X2,
inference(superposition,[status(thm)],[c_13381,c_12864]) ).
cnf(c_16827,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),inverse(X3))))) = multiply(X3,multiply(X4,multiply(inverse(X4),X2))),
inference(superposition,[status(thm)],[c_15792,c_49]) ).
cnf(c_16902,plain,
multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_15792,c_2521]) ).
cnf(c_16945,plain,
inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),X2)))),X0)) = X2,
inference(superposition,[status(thm)],[c_15792,c_11815]) ).
cnf(c_18535,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X3)),X0))),inverse(X3))))) = X2,
inference(superposition,[status(thm)],[c_15927,c_49]) ).
cnf(c_18684,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X0))))) = X2,
inference(superposition,[status(thm)],[c_15927,c_13491]) ).
cnf(c_18716,plain,
multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(inverse(X1)),X2))))) = X0,
inference(superposition,[status(thm)],[c_15927,c_12946]) ).
cnf(c_19845,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_16945,c_15927]) ).
cnf(c_25133,plain,
multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_18716,c_16902]) ).
cnf(c_25722,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_25133,c_25133]) ).
cnf(c_26306,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_25722,c_50]) ).
cnf(c_26435,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_25722,c_19845]) ).
cnf(c_26511,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_25722,c_18684]) ).
cnf(c_26711,plain,
multiply(inverse(multiply(X0,multiply(X1,inverse(multiply(inverse(inverse(X0)),X1))))),a2) != a2,
inference(superposition,[status(thm)],[c_18716,c_26306]) ).
cnf(c_31056,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = multiply(X3,multiply(inverse(X3),X0)),
inference(superposition,[status(thm)],[c_26435,c_26435]) ).
cnf(c_31063,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_31056,c_26511]) ).
cnf(c_31075,plain,
multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(demodulation,[status(thm)],[c_16902,c_31063]) ).
cnf(c_31080,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),inverse(X3))))) = multiply(X3,X2),
inference(demodulation,[status(thm)],[c_16827,c_31063]) ).
cnf(c_31082,plain,
multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_18535,c_31080]) ).
cnf(c_31084,plain,
multiply(inverse(multiply(X0,inverse(X0))),a2) != a2,
inference(demodulation,[status(thm)],[c_26711,c_31082]) ).
cnf(c_31116,plain,
multiply(inverse(multiply(a2,inverse(a2))),a2) = a2,
inference(instantiation,[status(thm)],[c_31075]) ).
cnf(c_31118,plain,
multiply(inverse(multiply(a2,inverse(a2))),a2) != a2,
inference(instantiation,[status(thm)],[c_31084]) ).
cnf(c_31119,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_31118,c_31116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 23:50:35 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.16/0.41 Running UEQ theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.29/5.60 % SZS status Started for theBenchmark.p
% 39.29/5.60 % SZS status Unsatisfiable for theBenchmark.p
% 39.29/5.60
% 39.29/5.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.29/5.60
% 39.29/5.60 ------ iProver source info
% 39.29/5.60
% 39.29/5.60 git: date: 2024-05-02 19:28:25 +0000
% 39.29/5.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.29/5.60 git: non_committed_changes: false
% 39.29/5.60
% 39.29/5.60 ------ Parsing...successful
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 39.29/5.60
% 39.29/5.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.29/5.60
% 39.29/5.60 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 39.29/5.60 ------ Proving...
% 39.29/5.60 ------ Problem Properties
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60 clauses 2
% 39.29/5.60 conjectures 1
% 39.29/5.60 EPR 0
% 39.29/5.60 Horn 2
% 39.29/5.60 unary 2
% 39.29/5.60 binary 0
% 39.29/5.60 lits 2
% 39.29/5.60 lits eq 2
% 39.29/5.60 fd_pure 0
% 39.29/5.60 fd_pseudo 0
% 39.29/5.60 fd_cond 0
% 39.29/5.60 fd_pseudo_cond 0
% 39.29/5.60 AC symbols 0
% 39.29/5.60
% 39.29/5.60 ------ Input Options Time Limit: Unbounded
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60 ------
% 39.29/5.60 Current options:
% 39.29/5.60 ------
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60 ------ Proving...
% 39.29/5.60
% 39.29/5.60
% 39.29/5.60 % SZS status Unsatisfiable for theBenchmark.p
% 39.29/5.60
% 39.29/5.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.29/5.60
% 39.29/5.61
%------------------------------------------------------------------------------