TSTP Solution File: GRP033-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 00:56:44 EDT 2023
% Result : Unsatisfiable 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 26 ( 0 equ; 16 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_59,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_60,plain,
product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_62,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_67,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
cnf(c_68,plain,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(c_70,negated_conjecture,
( ~ product(j(X0),X0,j(X0))
| ~ product(X0,j(X0),j(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subgr2) ).
cnf(c_184,plain,
( ~ product(a,inverse(X0),X1)
| ~ subgroup_member(X0)
| ~ subgroup_member(a)
| subgroup_member(X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_206,plain,
( ~ product(a,inverse(a),X0)
| ~ subgroup_member(a)
| subgroup_member(X0) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_207,plain,
( ~ product(a,inverse(a),identity)
| ~ subgroup_member(a)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_287,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_364,plain,
( ~ product(identity,j(identity),j(identity))
| ~ subgroup_member(identity) ),
inference(superposition,[status(thm)],[c_60,c_70]) ).
cnf(c_365,plain,
~ subgroup_member(identity),
inference(forward_subsumption_resolution,[status(thm)],[c_364,c_59]) ).
cnf(c_366,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_365,c_287,c_207,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:04:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16 git: last_make_outside_of_git: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...successful
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 22
% 0.47/1.16 conjectures 1
% 0.47/1.16 EPR 13
% 0.47/1.16 Horn 22
% 0.47/1.16 unary 7
% 0.47/1.16 binary 5
% 0.47/1.16 lits 50
% 0.47/1.16 lits eq 0
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 0
% 0.47/1.16 AC symbols 0
% 0.47/1.16
% 0.47/1.16 ------ Schedule dynamic 5 is on
% 0.47/1.16
% 0.47/1.16 ------ no equalities: superposition off
% 0.47/1.16
% 0.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
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