TSTP Solution File: GRP001-5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 00:56:30 EDT 2023
% Result : Unsatisfiable 1.95s 1.13s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 39 ( 15 unt; 0 nHn; 36 RR)
% Number of literals : 79 ( 0 equ; 46 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_50,plain,
product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_51,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c_53,plain,
product(X0,X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_element) ).
cnf(c_54,plain,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_55,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(identity,X2,X3) ),
inference(resolution,[status(thm)],[c_51,c_49]) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(X0,X3,X2) ),
inference(resolution,[status(thm)],[c_51,c_50]) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[status(thm)],[c_51,c_53]) ).
cnf(c_60,plain,
( ~ product(b,X0,X1)
| ~ product(c,X0,X2)
| product(a,X1,X2) ),
inference(resolution,[status(thm)],[c_51,c_54]) ).
cnf(c_63,plain,
( ~ product(X0,identity,X1)
| product(identity,X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_50]) ).
cnf(c_79,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X1)
| product(identity,X3,X2) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
cnf(c_80,plain,
( ~ product(a,X0,X1)
| ~ product(b,X2,X0)
| product(c,X2,X1) ),
inference(resolution,[status(thm)],[c_52,c_54]) ).
cnf(c_85,plain,
( ~ product(identity,X0,X1)
| product(X0,X1,identity) ),
inference(resolution,[status(thm)],[c_58,c_53]) ).
cnf(c_89,plain,
( ~ product(X0,X1,a)
| ~ product(X2,X1,c)
| ~ product(b,X0,X2)
| product(b,a,c) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_91,plain,
( ~ product(b,X0,X2)
| ~ product(X2,X1,c)
| ~ product(X0,X1,a) ),
inference(global_subsumption_just,[status(thm)],[c_89,c_55,c_89]) ).
cnf(c_92,plain,
( ~ product(X0,X1,a)
| ~ product(X2,X1,c)
| ~ product(b,X0,X2) ),
inference(renaming,[status(thm)],[c_91]) ).
cnf(c_97,plain,
( ~ product(identity,b,X0)
| product(a,c,X0) ),
inference(resolution,[status(thm)],[c_59,c_54]) ).
cnf(c_107,plain,
( ~ product(c,b,X0)
| product(a,identity,X0) ),
inference(resolution,[status(thm)],[c_60,c_53]) ).
cnf(c_109,plain,
( ~ product(identity,X0,a)
| ~ product(b,X0,c)
| ~ product(b,identity,b) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_190,plain,
( ~ product(b,X0,identity)
| product(c,X0,a) ),
inference(resolution,[status(thm)],[c_80,c_50]) ).
cnf(c_195,plain,
product(a,c,b),
inference(resolution,[status(thm)],[c_97,c_49]) ).
cnf(c_218,plain,
( ~ product(a,X0,X1)
| ~ product(c,X2,X0)
| product(b,X2,X1) ),
inference(resolution,[status(thm)],[c_195,c_52]) ).
cnf(c_226,plain,
( ~ product(b,X0,c)
| product(c,X0,b) ),
inference(resolution,[status(thm)],[c_195,c_80]) ).
cnf(c_271,plain,
product(c,b,a),
inference(resolution,[status(thm)],[c_190,c_53]) ).
cnf(c_272,plain,
( ~ product(c,X0,b)
| product(identity,X0,a) ),
inference(resolution,[status(thm)],[c_271,c_79]) ).
cnf(c_275,plain,
( ~ product(identity,b,X0)
| product(c,a,X0) ),
inference(resolution,[status(thm)],[c_271,c_59]) ).
cnf(c_286,plain,
product(a,identity,a),
inference(resolution,[status(thm)],[c_271,c_107]) ).
cnf(c_305,plain,
product(identity,a,a),
inference(resolution,[status(thm)],[c_286,c_63]) ).
cnf(c_319,plain,
product(a,a,identity),
inference(resolution,[status(thm)],[c_305,c_85]) ).
cnf(c_333,plain,
( ~ product(identity,a,X0)
| product(a,X0,identity) ),
inference(resolution,[status(thm)],[c_319,c_58]) ).
cnf(c_341,plain,
product(b,identity,b),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_353,plain,
~ product(b,X0,c),
inference(global_subsumption_just,[status(thm)],[c_226,c_109,c_226,c_272,c_341]) ).
cnf(c_453,plain,
product(c,a,b),
inference(resolution,[status(thm)],[c_275,c_49]) ).
cnf(c_476,plain,
( ~ product(identity,a,X0)
| product(c,X0,b) ),
inference(resolution,[status(thm)],[c_453,c_58]) ).
cnf(c_546,plain,
( ~ product(c,X0,b)
| product(b,X0,c) ),
inference(resolution,[status(thm)],[c_218,c_54]) ).
cnf(c_569,plain,
~ product(identity,a,X0),
inference(global_subsumption_just,[status(thm)],[c_333,c_353,c_476,c_546]) ).
cnf(c_572,plain,
$false,
inference(resolution,[status(thm)],[c_569,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 21:18:28 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.95/1.13 % SZS status Started for theBenchmark.p
% 1.95/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.13
% 1.95/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.95/1.13
% 1.95/1.13 ------ iProver source info
% 1.95/1.13
% 1.95/1.13 git: date: 2023-05-31 18:12:56 +0000
% 1.95/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.95/1.13 git: non_committed_changes: false
% 1.95/1.13 git: last_make_outside_of_git: false
% 1.95/1.13
% 1.95/1.13 ------ Parsing...successful
% 1.95/1.13
% 1.95/1.13 ------ preprocesses with Option_epr_horn
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.95/1.13
% 1.95/1.13 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.95/1.13 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.95/1.13 ------ Proving...
% 1.95/1.13 ------ Problem Properties
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13 clauses 7
% 1.95/1.13 conjectures 1
% 1.95/1.13 EPR 7
% 1.95/1.13 Horn 7
% 1.95/1.13 unary 5
% 1.95/1.13 binary 0
% 1.95/1.13 lits 13
% 1.95/1.13 lits eq 0
% 1.95/1.13 fd_pure 0
% 1.95/1.13 fd_pseudo 0
% 1.95/1.13 fd_cond 0
% 1.95/1.13 fd_pseudo_cond 0
% 1.95/1.13 AC symbols 0
% 1.95/1.13
% 1.95/1.13 ------ Schedule EPR Horn non eq is on
% 1.95/1.13
% 1.95/1.13 ------ no equalities: superposition off
% 1.95/1.13
% 1.95/1.13 ------ Option_epr_horn Time Limit: Unbounded
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13 ------
% 1.95/1.13 Current options:
% 1.95/1.13 ------
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13 ------ Proving...
% 1.95/1.13
% 1.95/1.13
% 1.95/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.13
% 1.95/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/1.13
% 1.95/1.13
%------------------------------------------------------------------------------