TSTP Solution File: NUM042-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 11:28:26 EDT 2023
% Result : Unsatisfiable 3.47s 1.16s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 7 unt; 2 nHn; 13 RR)
% Number of literals : 31 ( 3 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
subclass(x,complement(identity_relation)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property4_1) ).
cnf(c_50,negated_conjecture,
~ irreflexive(x,domain_of(symmetrization_of(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property4_2) ).
cnf(c_53,plain,
( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
| irreflexive(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',irreflexive2) ).
cnf(c_118,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_119,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_120,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_138,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_145,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_346,plain,
( irreflexive(X0,X1)
| ~ subclass(restrict(X0,X1,X1),complement(identity_relation)) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_347,plain,
( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
| irreflexive(X0,X1) ),
inference(renaming,[status(thm)],[c_346]) ).
cnf(c_2095,plain,
( domain_of(symmetrization_of(x)) != X0
| X1 != x
| ~ subclass(restrict(X1,X0,X0),complement(identity_relation)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_347]) ).
cnf(c_2096,plain,
~ subclass(restrict(x,domain_of(symmetrization_of(x)),domain_of(symmetrization_of(x))),complement(identity_relation)),
inference(unflattening,[status(thm)],[c_2095]) ).
cnf(c_6330,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_119,c_138]) ).
cnf(c_6687,plain,
( ~ member(X0,x)
| member(X0,complement(identity_relation)) ),
inference(superposition,[status(thm)],[c_49,c_118]) ).
cnf(c_6876,plain,
( ~ member(not_subclass_element(X0,complement(identity_relation)),x)
| subclass(X0,complement(identity_relation)) ),
inference(superposition,[status(thm)],[c_6687,c_120]) ).
cnf(c_9924,plain,
subclass(intersection(x,X0),complement(identity_relation)),
inference(superposition,[status(thm)],[c_6330,c_6876]) ).
cnf(c_10145,plain,
subclass(restrict(x,X0,X1),complement(identity_relation)),
inference(superposition,[status(thm)],[c_145,c_9924]) ).
cnf(c_10153,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2096,c_10145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n006.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 : Fri Aug 25 12:12:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.47/1.16 % SZS status Started for theBenchmark.p
% 3.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.47/1.16
% 3.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.47/1.16
% 3.47/1.16 ------ iProver source info
% 3.47/1.16
% 3.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.47/1.16 git: non_committed_changes: false
% 3.47/1.16 git: last_make_outside_of_git: false
% 3.47/1.16
% 3.47/1.16 ------ Parsing...successful
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.47/1.16 ------ Proving...
% 3.47/1.16 ------ Problem Properties
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 clauses 139
% 3.47/1.16 conjectures 1
% 3.47/1.16 EPR 14
% 3.47/1.16 Horn 127
% 3.47/1.16 unary 50
% 3.47/1.16 binary 58
% 3.47/1.16 lits 273
% 3.47/1.16 lits eq 62
% 3.47/1.16 fd_pure 0
% 3.47/1.16 fd_pseudo 0
% 3.47/1.16 fd_cond 5
% 3.47/1.16 fd_pseudo_cond 10
% 3.47/1.16 AC symbols 0
% 3.47/1.16
% 3.47/1.16 ------ Schedule dynamic 5 is on
% 3.47/1.16
% 3.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 ------
% 3.47/1.16 Current options:
% 3.47/1.16 ------
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 ------ Proving...
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.47/1.16
% 3.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.16
% 3.47/1.16
%------------------------------------------------------------------------------