TSTP Solution File: GRP044-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP044-2 : TPTP v8.2.0. Released v1.0.0.
% 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 06:57:41 EDT 2024
% Result : Unsatisfiable 0.47s 1.15s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 32 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c_50,plain,
product(a,c,result),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_with_a) ).
cnf(c_51,negated_conjecture,
~ product(b,c,result),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product_with_b) ).
cnf(c_52,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c_59,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_177,plain,
( ~ product(X0,X1,a)
| ~ equalish(a,b)
| product(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_210,plain,
( ~ product(X0,a,X1)
| ~ product(X0,result,X2)
| ~ product(a,c,result)
| product(X1,c,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_259,plain,
( ~ product(identity,a,a)
| ~ equalish(a,b)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_292,plain,
( ~ product(identity,a,X0)
| ~ product(a,c,result)
| ~ product(identity,result,result)
| product(X0,c,result) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_293,plain,
product(identity,result,result),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_759,plain,
( ~ product(a,c,result)
| ~ product(identity,a,b)
| ~ product(identity,result,result)
| product(b,c,result) ),
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_760,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_759,c_293,c_259,c_51,c_50,c_59,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP044-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 11:12:24 EDT 2024
% 0.12/0.33 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15 % SZS status Started for theBenchmark.p
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15
% 0.47/1.15 ------ iProver source info
% 0.47/1.15
% 0.47/1.15 git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.15 git: non_committed_changes: false
% 0.47/1.15
% 0.47/1.15 ------ Parsing...successful
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.15 ------ Proving...
% 0.47/1.15 ------ Problem Properties
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 clauses 10
% 0.47/1.15 conjectures 1
% 0.47/1.15 EPR 8
% 0.47/1.15 Horn 10
% 0.47/1.15 unary 6
% 0.47/1.15 binary 0
% 0.47/1.15 lits 20
% 0.47/1.15 lits eq 0
% 0.47/1.15 fd_pure 0
% 0.47/1.15 fd_pseudo 0
% 0.47/1.15 fd_cond 0
% 0.47/1.15 fd_pseudo_cond 0
% 0.47/1.15 AC symbols 0
% 0.47/1.15
% 0.47/1.15 ------ Input Options Time Limit: Unbounded
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------
% 0.47/1.15 Current options:
% 0.47/1.15 ------
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Proving...
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15
% 0.47/1.15
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