%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET189-6 : 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 : n005.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 02:46:53 PM UTC 2026
% Result : Unsatisfiable 14.24s 2.82s
% Output : CNFRefutation 14.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 15 unt; 0 def)
% Number of atoms : 124 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 52 ~; 64 |; 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 : 73 ( 0 sgn 73 !; 0 ?; 51 :)
% 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(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
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_corollary_to_subclass_property6_1) ).
fof(f123,plain,
null_class = intersection(complement(y),x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
subclass(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).
fof(f125,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).
fof(f126,plain,
y != x,
inference(reorient_equations,[],[f125]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_167,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_216,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_257,negated_conjecture,
intersection(complement(y),x) = null_class,
inference(cnf_transformation,[],[f123]) ).
tcf(c_258,negated_conjecture,
subclass(y,x),
inference(cnf_transformation,[],[f124]) ).
tcf(c_259,negated_conjecture,
y != x,
inference(cnf_transformation,[],[f126]) ).
tcf(c_3189,plain,
( ( y = x )
| ~ subclass(x,y)
| ~ subclass(y,x) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_3388,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),x) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_4032,plain,
! [X0: $i] :
( member(X0,complement(y))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_257,c_182]) ).
tcf(c_4121,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_216,c_185]) ).
tcf(c_4202,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_164]) ).
tcf(c_4403,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_165,c_4202]) ).
tcf(c_4408,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = null_class ) ),
inference(superposition,[status(thm)],[c_216,c_4202]) ).
tcf(c_4410,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_4032,c_4202]) ).
tcf(c_4902,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(superposition,[status(thm)],[c_257,c_184]) ).
tcf(c_5062,plain,
! [X0: $i] :
( member(X0,null_class)
| member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_186,c_4902]) ).
tcf(c_8092,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_258,c_164]) ).
tcf(c_8097,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_164]) ).
tcf(c_8112,plain,
! [X0: $i] :
( member(X0,null_class)
| member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_186,c_4902]) ).
tcf(c_8169,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),null_class)
| member(not_subclass_element(X0,X1),y)
| ~ member(not_subclass_element(X0,X1),x) ),
inference(superposition,[status(thm)],[c_4403,c_8112]) ).
tcf(c_8209,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),null_class)
| member(not_subclass_element(x,X0),y) ),
inference(superposition,[status(thm)],[c_165,c_8169]) ).
tcf(c_8231,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),null_class)
| member(not_subclass_element(x,X0),x) ),
inference(superposition,[status(thm)],[c_8209,c_8092]) ).
tcf(c_8242,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),x) ),
inference(global_subsumption_just,[status(thm)],[c_8231,c_3388]) ).
tcf(c_8245,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),universal_class) ),
inference(superposition,[status(thm)],[c_8242,c_8097]) ).
tcf(c_8252,plain,
subclass(x,universal_class),
inference(superposition,[status(thm)],[c_8245,c_166]) ).
tcf(c_8295,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_8252,c_164]) ).
tcf(c_12586,plain,
complement(universal_class) = null_class,
inference(superposition,[status(thm)],[c_4408,c_4121]) ).
tcf(c_12937,plain,
! [X0: $i] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_12586,c_185]) ).
tcf(c_13523,plain,
! [X0: $i] :
( ~ member(X0,complement(y))
| ~ member(X0,x) ),
inference(global_subsumption_just,[status(thm)],[c_4902,c_4902,c_8295,c_12937]) ).
tcf(c_13524,plain,
! [X0: $i] :
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(renaming,[status(thm)],[c_13523]) ).
tcf(c_13539,plain,
! [X0: $i] :
( member(X0,complement(y))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_257,c_182]) ).
tcf(c_13540,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_13539,c_4410,c_12937]) ).
tcf(c_13584,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_186,c_13524]) ).
tcf(c_13609,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(global_subsumption_just,[status(thm)],[c_13584,c_5062,c_8295,c_13540]) ).
tcf(c_13612,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),y) ),
inference(superposition,[status(thm)],[c_165,c_13609]) ).
tcf(c_13616,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_13612,c_166]) ).
tcf(c_13618,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13616,c_3189,c_259,c_258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 10:11:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 14.24/2.82 % SZS status Started for theBenchmark.p
% 14.24/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 14.24/2.82
% 14.24/2.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.24/2.82
% 14.24/2.82 % ------ iProver source info
% 14.24/2.82
% 14.24/2.82 % git: date: 2026-07-19 20:42:38 +0200
% 14.24/2.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.24/2.82 % git: non_committed_changes: false
% 14.24/2.82
% 14.24/2.82 % ------ Parsing...% successful
% 14.24/2.82
% 14.24/2.82
% 14.24/2.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.24/2.82
% 14.24/2.82 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 14.24/2.82
% 14.24/2.82 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.24/2.82
% 14.24/2.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.24/2.82 % ------ Proving...
% 14.24/2.82 % ------ Problem Properties
% 14.24/2.82
% 14.24/2.82 %
% 14.24/2.82 % clauses 84
% 14.24/2.82 % conjectures 3
% 14.24/2.82 % EPR 14
% 14.24/2.82 % Horn 76
% 14.24/2.82 % unary 23
% 14.24/2.82 % binary 40
% 14.24/2.82 % lits 172
% 14.24/2.82 % lits eq 27
% 14.24/2.82 % fd_pure 0
% 14.24/2.82 % fd_pseudo 0
% 14.24/2.82 % fd_cond 3
% 14.24/2.82 % fd_pseudo_cond 7
% 14.24/2.82 % AC symbols 0
% 14.24/2.82
% 14.24/2.82 % ------ Input Options Time Limit: Unbounded
% 14.24/2.82
% 14.24/2.82
% 14.24/2.82 % ------
% 14.24/2.82 % Current options:
% 14.24/2.82 % ------
% 14.24/2.82
% 14.24/2.82
% 14.24/2.82 %
% 14.24/2.82
% 14.24/2.82 % ------ Proving...
% 14.24/2.82 %
% 14.24/2.82
% 14.24/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 14.24/2.82
% 14.24/2.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.24/2.82
% 14.24/2.82
%------------------------------------------------------------------------------