%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET014-6 : 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 : n011.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 02:46:02 PM UTC 2026
% Result : Unsatisfiable 4.45s 2.29s
% Output : CNFRefutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 72 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 17 :)
% 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(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(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,
subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_1) ).
fof(f123,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_2) ).
fof(f124,negated_conjecture,
~ subclass(union(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_3) ).
fof(f187,plain,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f124,f26]) ).
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_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_257,negated_conjecture,
subclass(x,z),
inference(cnf_transformation,[],[f122]) ).
tcf(c_258,negated_conjecture,
subclass(y,z),
inference(cnf_transformation,[],[f123]) ).
tcf(c_259,negated_conjecture,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(cnf_transformation,[],[f187]) ).
tcf(c_3188,plain,
( subclass(complement(intersection(complement(x),complement(y))),z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_3189,plain,
( subclass(complement(intersection(complement(x),complement(y))),z)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_3201,plain,
! [X0: $i] :
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ subclass(X0,z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),X0) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_3216,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_3260,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_3343,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ subclass(x,z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x) ),
inference(instantiation,[status(thm)],[c_3201]) ).
tcf(c_3344,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ subclass(y,z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y) ),
inference(instantiation,[status(thm)],[c_3201]) ).
tcf(c_3399,plain,
! [X0: $i] :
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),X0) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_3511,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_3525,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_3922,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| ~ subclass(complement(intersection(complement(x),complement(y))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[c_3399]) ).
tcf(c_5803,plain,
subclass(complement(intersection(complement(x),complement(y))),universal_class),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_5804,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5803,c_3922,c_3525,c_3511,c_3344,c_3343,c_3260,c_3216,c_3188,c_3189,c_259,c_257,c_258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET014-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Sep 24 09:09:57 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 4.45/2.29 % SZS status Started for theBenchmark.p
% 4.45/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.45/2.29
% 4.45/2.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.45/2.29
% 4.45/2.29 % ------ iProver source info
% 4.45/2.29
% 4.45/2.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.45/2.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.45/2.29 % git: non_committed_changes: false
% 4.45/2.29
% 4.45/2.29 % ------ Parsing...% successful
% 4.45/2.29
% 4.45/2.29
% 4.45/2.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.45/2.29
% 4.45/2.29 % ------ 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 %
% 4.45/2.29
% 4.45/2.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.45/2.29
% 4.45/2.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.45/2.29 % ------ Proving...
% 4.45/2.29 % ------ Problem Properties
% 4.45/2.29
% 4.45/2.29 %
% 4.45/2.29 % clauses 84
% 4.45/2.29 % conjectures 3
% 4.45/2.29 % EPR 14
% 4.45/2.29 % Horn 76
% 4.45/2.29 % unary 23
% 4.45/2.29 % binary 40
% 4.45/2.29 % lits 172
% 4.45/2.29 % lits eq 25
% 4.45/2.29 % fd_pure 0
% 4.45/2.29 % fd_pseudo 0
% 4.45/2.29 % fd_cond 3
% 4.45/2.29 % fd_pseudo_cond 7
% 4.45/2.29 % AC symbols 0
% 4.45/2.29
% 4.45/2.29 % ------ Input Options Time Limit: Unbounded
% 4.45/2.29
% 4.45/2.29
% 4.45/2.29 % ------
% 4.45/2.29 % Current options:
% 4.45/2.29 % ------
% 4.45/2.29
% 4.45/2.29
% 4.45/2.29 %
% 4.45/2.29
% 4.45/2.29 % ------ Proving...
% 4.45/2.29 %
% 4.45/2.29
% 4.45/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.45/2.29
% 4.45/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.45/2.29
% 4.45/2.29
%------------------------------------------------------------------------------