TSTP Solution File: NUM030-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Fri May 3 02:48:08 EDT 2024
% Result : Unsatisfiable 216.45s 29.26s
% Output : CNFRefutation 216.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 8 unt; 6 nHn; 11 RR)
% Number of literals : 40 ( 3 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
symmetrization_of(x) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).
cnf(c_50,negated_conjecture,
~ subclass(inverse(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).
cnf(c_51,plain,
union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',symmetrization) ).
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_121,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_139,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_141,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_142,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_143,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_388617,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_121,c_118]) ).
cnf(c_388696,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2)) ),
inference(superposition,[status(thm)],[c_143,c_142]) ).
cnf(c_392847,plain,
( ~ member(X0,universal_class)
| member(X0,union(X1,X2))
| member(X0,complement(X2)) ),
inference(superposition,[status(thm)],[c_388696,c_139]) ).
cnf(c_403488,plain,
( ~ member(X0,universal_class)
| member(X0,complement(inverse(X1)))
| member(X0,symmetrization_of(X1)) ),
inference(superposition,[status(thm)],[c_51,c_392847]) ).
cnf(c_406649,plain,
( ~ member(X0,inverse(X1))
| ~ member(X0,universal_class)
| member(X0,symmetrization_of(X1)) ),
inference(superposition,[status(thm)],[c_403488,c_141]) ).
cnf(c_407009,plain,
( ~ member(X0,inverse(X1))
| member(X0,symmetrization_of(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_406649,c_388617]) ).
cnf(c_407010,plain,
( member(not_subclass_element(inverse(X0),X1),symmetrization_of(X0))
| subclass(inverse(X0),X1) ),
inference(superposition,[status(thm)],[c_119,c_407009]) ).
cnf(c_407144,plain,
subclass(inverse(X0),symmetrization_of(X0)),
inference(superposition,[status(thm)],[c_407010,c_120]) ).
cnf(c_407159,plain,
subclass(inverse(x),x),
inference(superposition,[status(thm)],[c_49,c_407144]) ).
cnf(c_407164,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_407159,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 20:03:05 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 216.45/29.26 % SZS status Started for theBenchmark.p
% 216.45/29.26 % SZS status Unsatisfiable for theBenchmark.p
% 216.45/29.26
% 216.45/29.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 216.45/29.26
% 216.45/29.26 ------ iProver source info
% 216.45/29.26
% 216.45/29.26 git: date: 2024-05-02 19:28:25 +0000
% 216.45/29.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 216.45/29.26 git: non_committed_changes: false
% 216.45/29.26
% 216.45/29.26 ------ Parsing...successful
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26 ------ 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: 3 0s sf_e pe_s pe_e
% 216.45/29.26
% 216.45/29.26 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 216.45/29.26
% 216.45/29.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 216.45/29.26 ------ Proving...
% 216.45/29.26 ------ Problem Properties
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26 clauses 139
% 216.45/29.26 conjectures 2
% 216.45/29.26 EPR 14
% 216.45/29.26 Horn 127
% 216.45/29.26 unary 50
% 216.45/29.26 binary 58
% 216.45/29.26 lits 273
% 216.45/29.26 lits eq 63
% 216.45/29.26 fd_pure 0
% 216.45/29.26 fd_pseudo 0
% 216.45/29.26 fd_cond 5
% 216.45/29.26 fd_pseudo_cond 10
% 216.45/29.26 AC symbols 0
% 216.45/29.26
% 216.45/29.26 ------ Input Options Time Limit: Unbounded
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26 ------
% 216.45/29.26 Current options:
% 216.45/29.26 ------
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26 ------ Proving...
% 216.45/29.26
% 216.45/29.26
% 216.45/29.26 % SZS status Unsatisfiable for theBenchmark.p
% 216.45/29.26
% 216.45/29.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 216.45/29.26
% 216.45/29.26
%------------------------------------------------------------------------------