TSTP Solution File: GRP118-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP118-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 06:57:58 EDT 2024
% Result : Unsatisfiable 0.46s 1.16s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 2 RR)
% Number of literals : 30 ( 29 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
cnf(c_88,plain,
multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_89,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_98,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(multiply(identity,X2),multiply(identity,X2)))) = X1,
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_101,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,X2),X3)),multiply(identity,multiply(X3,X3))))) = X1,
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_106,plain,
multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2)))) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
inference(superposition,[status(thm)],[c_89,c_49]) ).
cnf(c_109,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(demodulation,[status(thm)],[c_89,c_94]) ).
cnf(c_110,plain,
multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c_49,c_94]) ).
cnf(c_142,plain,
multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)) = multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)),
inference(superposition,[status(thm)],[c_94,c_94]) ).
cnf(c_145,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[c_94,c_110]) ).
cnf(c_190,plain,
multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(demodulation,[status(thm)],[c_145,c_94]) ).
cnf(c_301,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X1)),multiply(multiply(identity,X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c_98,c_94,c_142]) ).
cnf(c_305,plain,
multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,X2),multiply(X2,X2)))) = multiply(X0,multiply(X0,multiply(X1,identity))),
inference(superposition,[status(thm)],[c_190,c_301]) ).
cnf(c_364,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2)) = X1,
inference(demodulation,[status(thm)],[c_109,c_94]) ).
cnf(c_370,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_94,c_364]) ).
cnf(c_379,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_364,c_370]) ).
cnf(c_381,plain,
multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[c_190,c_379]) ).
cnf(c_431,plain,
multiply(X0,multiply(X1,multiply(identity,multiply(identity,X2)))) = multiply(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_88,c_142,c_305,c_379]) ).
cnf(c_433,plain,
multiply(X0,multiply(X1,multiply(X2,multiply(identity,X3)))) = multiply(multiply(X0,multiply(X1,X2)),X3),
inference(superposition,[status(thm)],[c_94,c_431]) ).
cnf(c_463,plain,
multiply(multiply(X0,multiply(X1,multiply(identity,X2))),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
inference(demodulation,[status(thm)],[c_106,c_94,c_433]) ).
cnf(c_469,plain,
multiply(multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),multiply(identity,X3)) = multiply(multiply(X0,multiply(X1,multiply(identity,X2))),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_463,c_94]) ).
cnf(c_508,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X1)),X2)) = multiply(X1,multiply(identity,X2)),
inference(superposition,[status(thm)],[c_381,c_94]) ).
cnf(c_728,plain,
multiply(multiply(X0,multiply(X1,multiply(X1,multiply(multiply(identity,X1),X2)))),multiply(X2,X2)) = X0,
inference(demodulation,[status(thm)],[c_101,c_94,c_433,c_469,c_508]) ).
cnf(c_732,plain,
multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_381,c_728]) ).
cnf(c_1531,plain,
multiply(multiply(multiply(identity,X0),identity),identity) = X0,
inference(superposition,[status(thm)],[c_379,c_732]) ).
cnf(c_1645,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_1531,c_379]) ).
cnf(c_1649,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_94,c_1645]) ).
cnf(c_1650,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_1649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP118-1 : TPTP v8.2.0. Released v1.2.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 07:30:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.45 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.16 % SZS status Started for theBenchmark.p
% 0.46/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.16
% 0.46/1.16 ------ iProver source info
% 0.46/1.16
% 0.46/1.16 git: date: 2024-06-12 09:56:46 +0000
% 0.46/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.46/1.16 git: non_committed_changes: false
% 0.46/1.16
% 0.46/1.16 ------ Parsing...successful
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.46/1.16 ------ Proving...
% 0.46/1.16 ------ Problem Properties
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 clauses 2
% 0.46/1.16 conjectures 1
% 0.46/1.16 EPR 0
% 0.46/1.16 Horn 2
% 0.46/1.16 unary 2
% 0.46/1.16 binary 0
% 0.46/1.16 lits 2
% 0.46/1.16 lits eq 2
% 0.46/1.16 fd_pure 0
% 0.46/1.16 fd_pseudo 0
% 0.46/1.16 fd_cond 0
% 0.46/1.16 fd_pseudo_cond 0
% 0.46/1.16 AC symbols 0
% 0.46/1.16
% 0.46/1.16 ------ Input Options Time Limit: Unbounded
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------
% 0.46/1.16 Current options:
% 0.46/1.16 ------
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------ Proving...
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.16
% 0.46/1.16
%------------------------------------------------------------------------------