%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET137-6 : 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 : n001.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 02:46:43 PM UTC 2026
% Result : Unsatisfiable 7.34s 2.01s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 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 : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 31 :)
% 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
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(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
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(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
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(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
member(u,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge1_1) ).
fof(f105,negated_conjecture,
set_builder(u,set_builder(v,set_builder(w,null_class))) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge1_4) ).
fof(f106,plain,
null_class = set_builder(u,set_builder(v,set_builder(w,null_class))),
inference(reorient_equations,[],[f105]) ).
fof(f112,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f156,plain,
null_class = complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class))))))))),
inference(definition_unfolding,[],[f106,f112,f112,f112]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_148,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_197,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_220,negated_conjecture,
member(u,x),
inference(cnf_transformation,[],[f102]) ).
tcf(c_223,negated_conjecture,
complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class))))))))) = null_class,
inference(cnf_transformation,[],[f156]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i] :
( member(regular(intersection(X0,X1)),X0)
| ( intersection(X0,X1) = null_class ) ),
inference(superposition,[status(thm)],[c_197,c_163]) ).
tcf(c_3592,plain,
! [X0: $i,X1: $i] :
( member(regular(intersection(X0,X1)),X1)
| ( intersection(X0,X1) = null_class ) ),
inference(superposition,[status(thm)],[c_197,c_164]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ~ member(X0,null_class)
| ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class))))))))) ),
inference(superposition,[status(thm)],[c_223,c_166]) ).
tcf(c_3717,plain,
! [X0: $i] :
( member(u,X0)
| ~ subclass(x,X0) ),
inference(superposition,[status(thm)],[c_220,c_145]) ).
tcf(c_3876,plain,
member(u,universal_class),
inference(superposition,[status(thm)],[c_148,c_3717]) ).
tcf(c_3928,plain,
! [X0: $i] :
( member(X0,null_class)
| member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_223,c_167]) ).
tcf(c_4131,plain,
! [X0: $i] :
( member(X0,null_class)
| member(X0,complement(unordered_pair(u,u)))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_3928,c_163]) ).
tcf(c_4209,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| ~ member(X0,unordered_pair(u,u)) ),
inference(superposition,[status(thm)],[c_4131,c_166]) ).
tcf(c_4564,plain,
( member(u,null_class)
| ~ member(u,universal_class) ),
inference(superposition,[status(thm)],[c_153,c_4209]) ).
tcf(c_4851,plain,
! [X0: $i] :
( ~ member(X0,null_class)
| ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class))))))))) ),
inference(superposition,[status(thm)],[c_223,c_166]) ).
tcf(c_5466,plain,
! [X0: $i] :
( ( intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))),X0) = null_class )
| ~ member(regular(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))),X0)),null_class) ),
inference(superposition,[status(thm)],[c_3556,c_4851]) ).
tcf(c_5989,plain,
intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))),null_class) = null_class,
inference(superposition,[status(thm)],[c_3592,c_5466]) ).
tcf(c_6442,plain,
member(u,null_class),
inference(global_subsumption_just,[status(thm)],[c_4564,c_3876,c_4564]) ).
tcf(c_6573,plain,
! [X0: $i] :
( member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_5989,c_163]) ).
tcf(c_6682,plain,
! [X0: $i] :
( ~ member(X0,null_class)
| ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class))))))))) ),
inference(superposition,[status(thm)],[c_223,c_166]) ).
tcf(c_7041,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_6682,c_3619,c_6573]) ).
tcf(c_7050,plain,
$false,
inference(superposition,[status(thm)],[c_6442,c_7041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET137-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n001.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Thu Sep 24 10:05:08 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.26/0.52
% 0.26/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.52
% 0.26/0.52 % Detected problem language: tptp
% 0.26/0.54 % Proving...
% 7.34/2.01 % SZS status Started for theBenchmark.p
% 7.34/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 7.34/2.01
% 7.34/2.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.34/2.01
% 7.34/2.01 % ------ iProver source info
% 7.34/2.01
% 7.34/2.01 % git: date: 2026-07-19 20:42:38 +0200
% 7.34/2.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.34/2.01 % git: non_committed_changes: false
% 7.34/2.01
% 7.34/2.01 % ------ Parsing...% successful
% 7.34/2.01
% 7.34/2.01
% 7.34/2.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.34/2.01
% 7.34/2.01 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 7.34/2.01
% 7.34/2.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.34/2.01
% 7.34/2.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.34/2.01 % ------ Proving...
% 7.34/2.01 % ------ Problem Properties
% 7.34/2.01
% 7.34/2.01 %
% 7.34/2.01 % clauses 71
% 7.34/2.01 % conjectures 4
% 7.34/2.01 % EPR 15
% 7.34/2.01 % Horn 63
% 7.34/2.01 % unary 19
% 7.34/2.01 % binary 32
% 7.34/2.01 % lits 149
% 7.34/2.01 % lits eq 21
% 7.34/2.01 % fd_pure 0
% 7.34/2.01 % fd_pseudo 0
% 7.34/2.01 % fd_cond 3
% 7.34/2.01 % fd_pseudo_cond 3
% 7.34/2.01 % AC symbols 0
% 7.34/2.01
% 7.34/2.01 % ------ Input Options Time Limit: Unbounded
% 7.34/2.01
% 7.34/2.01
% 7.34/2.01 % ------
% 7.34/2.01 % Current options:
% 7.34/2.01 % ------
% 7.34/2.01
% 7.34/2.01
% 7.34/2.01 %
% 7.34/2.01
% 7.34/2.01 % ------ Proving...
% 7.34/2.01 %
% 7.34/2.01
% 7.34/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 7.34/2.01
% 7.34/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.34/2.01
% 7.34/2.01
%------------------------------------------------------------------------------