TSTP Solution File: GRP006-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 00:56:33 EDT 2023
% Result : Unsatisfiable 1.56s 1.08s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 29 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_51,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_53,plain,
( ~ product(X0,inverse(X1),X2)
| ~ an_element(X0)
| ~ an_element(X1)
| an_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(c_56,plain,
an_element(the_element),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
cnf(c_57,negated_conjecture,
~ an_element(inverse(the_element)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).
cnf(c_97,plain,
( ~ product(the_element,inverse(X0),X1)
| ~ an_element(X0)
| ~ an_element(the_element)
| an_element(X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_98,plain,
( ~ product(the_element,inverse(the_element),X0)
| ~ an_element(the_element)
| an_element(X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_99,plain,
( ~ product(the_element,inverse(the_element),identity)
| ~ an_element(the_element)
| an_element(identity) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_101,plain,
product(the_element,inverse(the_element),identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_110,plain,
( ~ product(X0,inverse(X1),inverse(the_element))
| ~ an_element(X0)
| ~ an_element(X1)
| an_element(inverse(the_element)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_123,plain,
( ~ product(identity,inverse(the_element),inverse(the_element))
| ~ an_element(identity)
| ~ an_element(the_element)
| an_element(inverse(the_element)) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_124,plain,
product(identity,inverse(the_element),inverse(the_element)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_125,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_124,c_123,c_101,c_99,c_57,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 00:38:25 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.56/1.08 % SZS status Started for theBenchmark.p
% 1.56/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.08
% 1.56/1.08 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.56/1.08
% 1.56/1.08 ------ iProver source info
% 1.56/1.08
% 1.56/1.08 git: date: 2023-05-31 18:12:56 +0000
% 1.56/1.08 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.56/1.08 git: non_committed_changes: false
% 1.56/1.08 git: last_make_outside_of_git: false
% 1.56/1.08
% 1.56/1.08 ------ Parsing...successful
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.56/1.08
% 1.56/1.08 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.56/1.08 ------ Proving...
% 1.56/1.08 ------ Problem Properties
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08 clauses 9
% 1.56/1.08 conjectures 1
% 1.56/1.08 EPR 5
% 1.56/1.08 Horn 9
% 1.56/1.08 unary 6
% 1.56/1.08 binary 0
% 1.56/1.08 lits 18
% 1.56/1.08 lits eq 0
% 1.56/1.08 fd_pure 0
% 1.56/1.08 fd_pseudo 0
% 1.56/1.08 fd_cond 0
% 1.56/1.08 fd_pseudo_cond 0
% 1.56/1.08 AC symbols 0
% 1.56/1.08
% 1.56/1.08 ------ Schedule dynamic 5 is on
% 1.56/1.08
% 1.56/1.08 ------ no equalities: superposition off
% 1.56/1.08
% 1.56/1.08 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08 ------
% 1.56/1.08 Current options:
% 1.56/1.08 ------
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08 ------ Proving...
% 1.56/1.08
% 1.56/1.08
% 1.56/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.08
% 1.56/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/1.08
% 1.56/1.08
%------------------------------------------------------------------------------