TSTP Solution File: GRP001-5 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:19:42 EDT 2024
% Result : Unsatisfiable 2.67s 1.20s
% Output : CNFRefutation 2.67s
% 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_58,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(identity,X2,X3) ),
inference(resolution,[status(thm)],[c_51,c_49]) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(X0,X3,X2) ),
inference(resolution,[status(thm)],[c_51,c_50]) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[status(thm)],[c_51,c_53]) ).
cnf(c_61,plain,
( ~ product(b,X0,X1)
| ~ product(c,X0,X2)
| product(a,X1,X2) ),
inference(resolution,[status(thm)],[c_51,c_54]) ).
cnf(c_64,plain,
( ~ product(X0,identity,X1)
| product(identity,X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_50]) ).
cnf(c_80,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X1)
| product(identity,X3,X2) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
cnf(c_81,plain,
( ~ product(a,X0,X1)
| ~ product(b,X2,X0)
| product(c,X2,X1) ),
inference(resolution,[status(thm)],[c_52,c_54]) ).
cnf(c_86,plain,
( ~ product(identity,X0,X1)
| product(X0,X1,identity) ),
inference(resolution,[status(thm)],[c_59,c_53]) ).
cnf(c_90,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_92,plain,
( ~ product(b,X0,X2)
| ~ product(X2,X1,c)
| ~ product(X0,X1,a) ),
inference(global_subsumption_just,[status(thm)],[c_90,c_55,c_90]) ).
cnf(c_93,plain,
( ~ product(X0,X1,a)
| ~ product(X2,X1,c)
| ~ product(b,X0,X2) ),
inference(renaming,[status(thm)],[c_92]) ).
cnf(c_98,plain,
( ~ product(identity,b,X0)
| product(a,c,X0) ),
inference(resolution,[status(thm)],[c_60,c_54]) ).
cnf(c_108,plain,
( ~ product(c,b,X0)
| product(a,identity,X0) ),
inference(resolution,[status(thm)],[c_61,c_53]) ).
cnf(c_110,plain,
( ~ product(identity,X0,a)
| ~ product(b,X0,c)
| ~ product(b,identity,b) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_191,plain,
( ~ product(b,X0,identity)
| product(c,X0,a) ),
inference(resolution,[status(thm)],[c_81,c_50]) ).
cnf(c_196,plain,
product(a,c,b),
inference(resolution,[status(thm)],[c_98,c_49]) ).
cnf(c_219,plain,
( ~ product(a,X0,X1)
| ~ product(c,X2,X0)
| product(b,X2,X1) ),
inference(resolution,[status(thm)],[c_196,c_52]) ).
cnf(c_227,plain,
( ~ product(b,X0,c)
| product(c,X0,b) ),
inference(resolution,[status(thm)],[c_196,c_81]) ).
cnf(c_272,plain,
product(c,b,a),
inference(resolution,[status(thm)],[c_191,c_53]) ).
cnf(c_273,plain,
( ~ product(c,X0,b)
| product(identity,X0,a) ),
inference(resolution,[status(thm)],[c_272,c_80]) ).
cnf(c_276,plain,
( ~ product(identity,b,X0)
| product(c,a,X0) ),
inference(resolution,[status(thm)],[c_272,c_60]) ).
cnf(c_287,plain,
product(a,identity,a),
inference(resolution,[status(thm)],[c_272,c_108]) ).
cnf(c_306,plain,
product(identity,a,a),
inference(resolution,[status(thm)],[c_287,c_64]) ).
cnf(c_320,plain,
product(a,a,identity),
inference(resolution,[status(thm)],[c_306,c_86]) ).
cnf(c_334,plain,
( ~ product(identity,a,X0)
| product(a,X0,identity) ),
inference(resolution,[status(thm)],[c_320,c_59]) ).
cnf(c_342,plain,
product(b,identity,b),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_354,plain,
~ product(b,X0,c),
inference(global_subsumption_just,[status(thm)],[c_227,c_110,c_227,c_273,c_342]) ).
cnf(c_454,plain,
product(c,a,b),
inference(resolution,[status(thm)],[c_276,c_49]) ).
cnf(c_477,plain,
( ~ product(identity,a,X0)
| product(c,X0,b) ),
inference(resolution,[status(thm)],[c_454,c_59]) ).
cnf(c_547,plain,
( ~ product(c,X0,b)
| product(b,X0,c) ),
inference(resolution,[status(thm)],[c_219,c_54]) ).
cnf(c_570,plain,
~ product(identity,a,X0),
inference(global_subsumption_just,[status(thm)],[c_334,c_354,c_477,c_547]) ).
cnf(c_573,plain,
$false,
inference(resolution,[status(thm)],[c_570,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:47:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.67/1.20 % SZS status Started for theBenchmark.p
% 2.67/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.20
% 2.67/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.67/1.20
% 2.67/1.20 ------ iProver source info
% 2.67/1.20
% 2.67/1.20 git: date: 2024-05-02 19:28:25 +0000
% 2.67/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.67/1.20 git: non_committed_changes: false
% 2.67/1.20
% 2.67/1.20 ------ Parsing...successful
% 2.67/1.20
% 2.67/1.20 ------ preprocesses with Option_epr_horn
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.67/1.20
% 2.67/1.20 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 2.67/1.20 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.67/1.20 ------ Proving...
% 2.67/1.20 ------ Problem Properties
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20 clauses 7
% 2.67/1.20 conjectures 1
% 2.67/1.20 EPR 7
% 2.67/1.20 Horn 7
% 2.67/1.20 unary 5
% 2.67/1.20 binary 0
% 2.67/1.20 lits 13
% 2.67/1.20 lits eq 0
% 2.67/1.20 fd_pure 0
% 2.67/1.20 fd_pseudo 0
% 2.67/1.20 fd_cond 0
% 2.67/1.20 fd_pseudo_cond 0
% 2.67/1.20 AC symbols 0
% 2.67/1.20
% 2.67/1.20 ------ Schedule EPR Horn non eq is on
% 2.67/1.20
% 2.67/1.20 ------ no equalities: superposition off
% 2.67/1.20
% 2.67/1.20 ------ Option_epr_horn Time Limit: Unbounded
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20 ------
% 2.67/1.20 Current options:
% 2.67/1.20 ------
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20 ------ Proving...
% 2.67/1.20
% 2.67/1.20
% 2.67/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.20
% 2.67/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.67/1.20
% 2.67/1.20
%------------------------------------------------------------------------------