%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:46:52 PM UTC 2026
% Result : Unsatisfiable 25.03s 4.37s
% Output : CNFRefutation 25.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 11 unt; 0 def)
% Number of atoms : 87 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 42 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property6_1) ).
fof(f123,plain,
null_class = intersection(complement(y),x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property6_2) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_166,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_215,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_256,negated_conjecture,
intersection(complement(y),x) = null_class,
inference(cnf_transformation,[],[f123]) ).
tcf(c_257,negated_conjecture,
~ subclass(x,y),
inference(cnf_transformation,[],[f124]) ).
tcf(c_519,plain,
! [X0: $i] :
( member(X0,complement(y))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_256,c_181]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_163]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_164,c_634]) ).
tcf(c_836,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = null_class ) ),
inference(superposition,[status(thm)],[c_215,c_634]) ).
tcf(c_838,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_519,c_634]) ).
tcf(c_977,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_215,c_184]) ).
tcf(c_1006,plain,
complement(universal_class) = null_class,
inference(superposition,[status(thm)],[c_836,c_977]) ).
tcf(c_1039,plain,
! [X0: $i] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_1006,c_184]) ).
tcf(c_1043,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_1039,c_838,c_1039]) ).
tcf(c_1695,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(superposition,[status(thm)],[c_256,c_183]) ).
tcf(c_2199,plain,
! [X0: $i] :
( ~ member(X0,complement(y))
| ~ member(X0,x) ),
inference(global_subsumption_just,[status(thm)],[c_1695,c_1043,c_1695]) ).
tcf(c_2200,plain,
! [X0: $i] :
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(renaming,[status(thm)],[c_2199]) ).
tcf(c_14623,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(superposition,[status(thm)],[c_256,c_183]) ).
tcf(c_14672,plain,
! [X0: $i] :
( ~ member(X0,complement(y))
| ~ member(X0,x) ),
inference(global_subsumption_just,[status(thm)],[c_14623,c_2200]) ).
tcf(c_14673,plain,
! [X0: $i] :
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(renaming,[status(thm)],[c_14672]) ).
tcf(c_14675,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_185,c_14673]) ).
tcf(c_16120,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),y)
| ~ member(not_subclass_element(X0,X1),x) ),
inference(superposition,[status(thm)],[c_829,c_14675]) ).
tcf(c_17472,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),y) ),
inference(superposition,[status(thm)],[c_164,c_16120]) ).
tcf(c_18440,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_17472,c_165]) ).
tcf(c_18443,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18440,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 10:11:53 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 25.03/4.37 % SZS status Started for theBenchmark.p
% 25.03/4.37 % SZS status Unsatisfiable for theBenchmark.p
% 25.03/4.37
% 25.03/4.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.03/4.37
% 25.03/4.37 % ------ iProver source info
% 25.03/4.37
% 25.03/4.37 % git: date: 2026-07-19 20:42:38 +0200
% 25.03/4.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.03/4.37 % git: non_committed_changes: false
% 25.03/4.37
% 25.03/4.37 % ------ Parsing...% successful
% 25.03/4.37
% 25.03/4.37
% 25.03/4.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.03/4.37
% 25.03/4.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 25.03/4.37
% 25.03/4.37 % ------ Preprocessing...%
% 25.03/4.37
% 25.03/4.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.03/4.37 % ------ Proving...
% 25.03/4.37 % ------ Problem Properties
% 25.03/4.37
% 25.03/4.37 %
% 25.03/4.37 % clauses 94
% 25.03/4.37 % conjectures 4
% 25.03/4.37 % EPR 17
% 25.03/4.37 % Horn 86
% 25.03/4.37 % unary 21
% 25.03/4.37 % binary 50
% 25.03/4.37 % lits 196
% 25.03/4.37 % lits eq 27
% 25.03/4.37 % fd_pure 0
% 25.03/4.37 % fd_pseudo 0
% 25.03/4.37 % fd_cond 3
% 25.03/4.37 % fd_pseudo_cond 8
% 25.03/4.37 % AC symbols 0
% 25.03/4.37
% 25.03/4.37 % ------ Input Options Time Limit: Unbounded
% 25.03/4.37
% 25.03/4.37
% 25.03/4.37 % ------
% 25.03/4.37 % Current options:
% 25.03/4.37 % ------
% 25.03/4.37
% 25.03/4.37
% 25.03/4.37 %
% 25.03/4.37
% 25.03/4.37 % ------ Proving...
% 25.03/4.37 %
% 25.03/4.37
% 25.03/4.37 % SZS status Unsatisfiable for theBenchmark.p
% 25.03/4.37
% 25.03/4.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.03/4.37
% 25.03/4.37
%------------------------------------------------------------------------------