%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET192-6 : 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 : n018.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 31.14s 5.33s
% Output : CNFRefutation 31.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 28 ~; 29 |; 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 16 :)
% 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(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(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property9_1) ).
fof(f123,negated_conjecture,
~ subclass(complement(y),complement(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property9_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_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,
subclass(x,y),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
~ subclass(complement(y),complement(x)),
inference(cnf_transformation,[],[f123]) ).
tcf(c_4905,plain,
subclass(complement(y),universal_class),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_5724,plain,
( subclass(complement(y),complement(x))
| ~ member(not_subclass_element(complement(y),complement(x)),complement(x)) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_5725,plain,
( subclass(complement(y),complement(x))
| member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_5728,plain,
( member(not_subclass_element(complement(y),complement(x)),x)
| member(not_subclass_element(complement(y),complement(x)),complement(x))
| ~ member(not_subclass_element(complement(y),complement(x)),universal_class) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_5730,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),y)
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_5732,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(complement(y),complement(x)),X1)
| ~ subclass(X0,X1)
| ~ member(not_subclass_element(complement(y),complement(x)),X0) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_5739,plain,
! [X0: $i] :
( member(not_subclass_element(complement(y),complement(x)),X0)
| ~ subclass(complement(y),X0)
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[c_5732]) ).
tcf(c_5740,plain,
( member(not_subclass_element(complement(y),complement(x)),universal_class)
| ~ subclass(complement(y),universal_class)
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[c_5739]) ).
tcf(c_5757,plain,
! [X0: $i] :
( member(not_subclass_element(complement(y),complement(x)),y)
| ~ subclass(X0,y)
| ~ member(not_subclass_element(complement(y),complement(x)),X0) ),
inference(instantiation,[status(thm)],[c_5732]) ).
tcf(c_5788,plain,
( member(not_subclass_element(complement(y),complement(x)),y)
| ~ subclass(x,y)
| ~ member(not_subclass_element(complement(y),complement(x)),x) ),
inference(instantiation,[status(thm)],[c_5757]) ).
tcf(c_5789,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5788,c_5740,c_5730,c_5728,c_5724,c_5725,c_4905,c_257,c_256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET192-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 10:14:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 31.14/5.33 % SZS status Started for theBenchmark.p
% 31.14/5.33 % SZS status Unsatisfiable for theBenchmark.p
% 31.14/5.33
% 31.14/5.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.14/5.33
% 31.14/5.33 % ------ iProver source info
% 31.14/5.33
% 31.14/5.33 % git: date: 2026-07-19 20:42:38 +0200
% 31.14/5.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.14/5.33 % git: non_committed_changes: false
% 31.14/5.33
% 31.14/5.33 % ------ Parsing...% successful
% 31.14/5.33
% 31.14/5.33
% 31.14/5.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.14/5.33
% 31.14/5.33 % ------ 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: 5 0s sf_e pe_s pe_e %
% 31.14/5.33
% 31.14/5.33 % ------ Preprocessing...%
% 31.14/5.33
% 31.14/5.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 % ------ Problem Properties
% 31.14/5.33
% 31.14/5.33 %
% 31.14/5.33 % clauses 83
% 31.14/5.33 % conjectures 2
% 31.14/5.33 % EPR 13
% 31.14/5.33 % Horn 75
% 31.14/5.33 % unary 22
% 31.14/5.33 % binary 40
% 31.14/5.33 % lits 171
% 31.14/5.33 % lits eq 25
% 31.14/5.33 % fd_pure 0
% 31.14/5.33 % fd_pseudo 0
% 31.14/5.33 % fd_cond 3
% 31.14/5.33 % fd_pseudo_cond 7
% 31.14/5.33 % AC symbols 0
% 31.14/5.33
% 31.14/5.33 % ------ Input Options Time Limit: Unbounded
% 31.14/5.33
% 31.14/5.33
% 31.14/5.33 % ------
% 31.14/5.33 % Current options:
% 31.14/5.33 % ------
% 31.14/5.33
% 31.14/5.33
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % ------ Proving...
% 31.14/5.33 %
% 31.14/5.33
% 31.14/5.33 % SZS status Unsatisfiable for theBenchmark.p
% 31.14/5.33
% 31.14/5.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.14/5.33
% 31.14/5.33
%------------------------------------------------------------------------------