%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET186-6 : 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 : n016.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 10.20s 2.19s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 57 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 25 :)
% 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(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(f122,negated_conjecture,
union(x,y) = y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_1) ).
fof(f123,plain,
y = union(x,y),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_2) ).
fof(f187,plain,
y = complement(intersection(complement(x),complement(y))),
inference(definition_unfolding,[],[f123,f26]) ).
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_184,plain,
! [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_256,negated_conjecture,
complement(intersection(complement(x),complement(y))) = y,
inference(cnf_transformation,[],[f187]) ).
tcf(c_257,negated_conjecture,
~ subclass(x,y),
inference(cnf_transformation,[],[f124]) ).
tcf(c_4194,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_163]) ).
tcf(c_4465,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_164,c_4194]) ).
tcf(c_7805,plain,
! [X0: $i] :
( member(X0,y)
| member(X0,intersection(complement(x),complement(y)))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_256,c_185]) ).
tcf(c_7849,plain,
! [X0: $i] :
( member(X0,y)
| member(X0,complement(x))
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_7805,c_181]) ).
tcf(c_7859,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_7849,c_184]) ).
tcf(c_7875,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_4465,c_7859]) ).
tcf(c_7978,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),y) ),
inference(superposition,[status(thm)],[c_164,c_7875]) ).
tcf(c_12132,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_7978,c_165]) ).
tcf(c_12138,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12132,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET186-6 : 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 : n016.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 10:15:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 10.20/2.19 % SZS status Started for theBenchmark.p
% 10.20/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.19
% 10.20/2.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.20/2.19
% 10.20/2.19 % ------ iProver source info
% 10.20/2.19
% 10.20/2.19 % git: date: 2026-07-19 20:42:38 +0200
% 10.20/2.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.20/2.19 % git: non_committed_changes: false
% 10.20/2.19
% 10.20/2.19 % ------ Parsing...% successful
% 10.20/2.19
% 10.20/2.19
% 10.20/2.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.20/2.19
% 10.20/2.19 % ------ 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 %
% 10.20/2.19
% 10.20/2.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.20/2.19
% 10.20/2.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.20/2.19 % ------ Proving...
% 10.20/2.19 % ------ Problem Properties
% 10.20/2.19
% 10.20/2.19 %
% 10.20/2.19 % clauses 83
% 10.20/2.19 % conjectures 2
% 10.20/2.19 % EPR 13
% 10.20/2.19 % Horn 75
% 10.20/2.19 % unary 22
% 10.20/2.19 % binary 40
% 10.20/2.19 % lits 171
% 10.20/2.19 % lits eq 26
% 10.20/2.19 % fd_pure 0
% 10.20/2.19 % fd_pseudo 0
% 10.20/2.19 % fd_cond 3
% 10.20/2.19 % fd_pseudo_cond 7
% 10.20/2.19 % AC symbols 0
% 10.20/2.19
% 10.20/2.19 % ------ Input Options Time Limit: Unbounded
% 10.20/2.19
% 10.20/2.19
% 10.20/2.19 % ------
% 10.20/2.19 % Current options:
% 10.20/2.19 % ------
% 10.20/2.19
% 10.20/2.19
% 10.20/2.19 %
% 10.20/2.19
% 10.20/2.19 % ------ Proving...
% 10.20/2.19 %
% 10.20/2.19
% 10.20/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.19
% 10.20/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.20/2.19
% 10.20/2.19
%------------------------------------------------------------------------------