TSTP Solution File: GRP003-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP003-2 : 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 02:19:43 EDT 2024
% Result : Unsatisfiable 3.68s 1.20s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 43 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).
cnf(c_50,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_51,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(c_54,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c_57,plain,
product(identity,identity,identity),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_119,plain,
( ~ product(X0,X1,a)
| ~ product(X0,X2,a)
| ~ product(X1,identity,X2)
| product(a,identity,a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_124,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_128,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,a)
| product(X0,X4,a) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_139,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_157,plain,
( ~ product(X0,X1,identity)
| ~ product(X1,a,X2)
| ~ product(identity,a,a)
| product(X0,X2,a) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_232,plain,
( ~ product(X0,inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(X0,identity,a) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_430,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(inverse(inverse(a)),identity,a) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(c_431,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1386,plain,
( ~ product(inverse(inverse(a)),X0,a)
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,identity,X0)
| product(a,identity,a) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_1387,plain,
( ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,identity,identity)
| product(a,identity,a) ),
inference(instantiation,[status(thm)],[c_1386]) ).
cnf(c_1388,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1387,c_431,c_430,c_139,c_124,c_49,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:02:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.68/1.20 % SZS status Started for theBenchmark.p
% 3.68/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.20
% 3.68/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.68/1.20
% 3.68/1.20 ------ iProver source info
% 3.68/1.20
% 3.68/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.68/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.68/1.20 git: non_committed_changes: false
% 3.68/1.20
% 3.68/1.20 ------ Parsing...successful
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.68/1.20
% 3.68/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.68/1.20 ------ Proving...
% 3.68/1.20 ------ Problem Properties
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20 clauses 8
% 3.68/1.20 conjectures 1
% 3.68/1.20 EPR 6
% 3.68/1.20 Horn 8
% 3.68/1.20 unary 4
% 3.68/1.20 binary 0
% 3.68/1.20 lits 18
% 3.68/1.20 lits eq 0
% 3.68/1.20 fd_pure 0
% 3.68/1.20 fd_pseudo 0
% 3.68/1.20 fd_cond 0
% 3.68/1.20 fd_pseudo_cond 0
% 3.68/1.20 AC symbols 0
% 3.68/1.20
% 3.68/1.20 ------ Schedule dynamic 5 is on
% 3.68/1.20
% 3.68/1.20 ------ no equalities: superposition off
% 3.68/1.20
% 3.68/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20 ------
% 3.68/1.20 Current options:
% 3.68/1.20 ------
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20 ------ Proving...
% 3.68/1.20
% 3.68/1.20
% 3.68/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.20
% 3.68/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.20
% 3.68/1.20
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