TSTP Solution File: GRP440-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Mon Jun 24 07:00:19 EDT 2024
% Result : Unsatisfiable 30.77s 4.63s
% Output : CNFRefutation 30.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 7 RR)
% Number of literals : 29 ( 28 equ; 5 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 : 102 ( 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/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_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_2432,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_2450,plain,
inverse(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))))) = X2,
inference(superposition,[status(thm)],[c_119,c_49]) ).
cnf(c_3290,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_2432,c_2432]) ).
cnf(c_6167,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_2432,c_3290]) ).
cnf(c_7038,plain,
multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(inverse(X4),X2))))),X3))) = X4,
inference(superposition,[status(thm)],[c_49,c_6167]) ).
cnf(c_7157,plain,
multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))) = X1,
inference(superposition,[status(thm)],[c_6167,c_6167]) ).
cnf(c_8934,plain,
multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = X1,
inference(superposition,[status(thm)],[c_2450,c_7157]) ).
cnf(c_9142,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_8934,c_2432]) ).
cnf(c_9151,plain,
multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_8934,c_6167]) ).
cnf(c_15976,plain,
multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),X3))),X2)))),multiply(X4,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_6167,c_9142]) ).
cnf(c_25189,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_15976,c_8934]) ).
cnf(c_25198,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_15976,c_9142]) ).
cnf(c_25199,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_15976,c_9151]) ).
cnf(c_26873,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X2),X2),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
inference(superposition,[status(thm)],[c_25189,c_49]) ).
cnf(c_26883,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_25189,c_50]) ).
cnf(c_31257,plain,
multiply(multiply(X0,multiply(X1,multiply(X2,multiply(multiply(inverse(X3),X3),inverse(multiply(X0,multiply(X1,X2))))))),a2) != a2,
inference(superposition,[status(thm)],[c_26873,c_26883]) ).
cnf(c_34514,plain,
multiply(X0,multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))) = X0,
inference(superposition,[status(thm)],[c_25189,c_25198]) ).
cnf(c_37561,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_34514,c_34514]) ).
cnf(c_37564,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_25199,c_37561]) ).
cnf(c_37567,plain,
multiply(multiply(X0,multiply(multiply(inverse(X0),X1),inverse(multiply(X2,multiply(inverse(X3),X1))))),X2) = X3,
inference(demodulation,[status(thm)],[c_7038,c_37564]) ).
cnf(c_37603,plain,
multiply(multiply(a2,multiply(multiply(inverse(a2),a2),inverse(multiply(a2,multiply(inverse(a2),a2))))),a2) = a2,
inference(instantiation,[status(thm)],[c_37567]) ).
cnf(c_49982,plain,
multiply(multiply(X0,multiply(multiply(inverse(X1),X1),inverse(multiply(X0,multiply(inverse(X2),X2))))),a2) != a2,
inference(superposition,[status(thm)],[c_37564,c_31257]) ).
cnf(c_50028,plain,
multiply(multiply(a2,multiply(multiply(inverse(a2),a2),inverse(multiply(a2,multiply(inverse(a2),a2))))),a2) != a2,
inference(instantiation,[status(thm)],[c_49982]) ).
cnf(c_50029,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50028,c_37603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.12/0.37 % Computer : n025.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Jun 20 08:04:39 EDT 2024
% 0.12/0.37 % CPUTime :
% 0.23/0.49 Running UEQ theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.77/4.63 % SZS status Started for theBenchmark.p
% 30.77/4.63 % SZS status Unsatisfiable for theBenchmark.p
% 30.77/4.63
% 30.77/4.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 30.77/4.63
% 30.77/4.63 ------ iProver source info
% 30.77/4.63
% 30.77/4.63 git: date: 2024-06-12 09:56:46 +0000
% 30.77/4.63 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 30.77/4.63 git: non_committed_changes: false
% 30.77/4.63
% 30.77/4.63 ------ Parsing...successful
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 30.77/4.63
% 30.77/4.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 30.77/4.63
% 30.77/4.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 30.77/4.63 ------ Proving...
% 30.77/4.63 ------ Problem Properties
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63 clauses 2
% 30.77/4.63 conjectures 1
% 30.77/4.63 EPR 0
% 30.77/4.63 Horn 2
% 30.77/4.63 unary 2
% 30.77/4.63 binary 0
% 30.77/4.63 lits 2
% 30.77/4.63 lits eq 2
% 30.77/4.63 fd_pure 0
% 30.77/4.63 fd_pseudo 0
% 30.77/4.63 fd_cond 0
% 30.77/4.63 fd_pseudo_cond 0
% 30.77/4.63 AC symbols 0
% 30.77/4.63
% 30.77/4.63 ------ Input Options Time Limit: Unbounded
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63 ------
% 30.77/4.63 Current options:
% 30.77/4.63 ------
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63 ------ Proving...
% 30.77/4.63
% 30.77/4.63
% 30.77/4.63 % SZS status Unsatisfiable for theBenchmark.p
% 30.77/4.63
% 30.77/4.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.77/4.63
% 30.77/4.63
%------------------------------------------------------------------------------