%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET442-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 02:47:15 PM UTC 2026
% Result : Unsatisfiable 10.74s 2.43s
% Output : CNFRefutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 69 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 35 ~; 35 |; 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f63,axiom,
! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',function1) ).
fof(f122,negated_conjecture,
function(xf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_1) ).
fof(f123,negated_conjecture,
restrict(xf,universal_class,universal_class) != xf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_2) ).
fof(f124,plain,
xf != restrict(xf,universal_class,universal_class),
inference(reorient_equations,[],[f123]) ).
fof(f187,plain,
xf != intersection(xf,cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f124,f28]) ).
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_169,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_211,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_256,negated_conjecture,
function(xf),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
intersection(xf,cross_product(universal_class,universal_class)) != xf,
inference(cnf_transformation,[],[f187]) ).
tcf(c_358,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
tcf(c_1416,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ( X0 != xf ) ),
inference(resolution_lifted,[status(thm)],[c_256,c_358]) ).
tcf(c_1417,plain,
subclass(xf,cross_product(universal_class,universal_class)),
inference(unflattening,[status(thm)],[c_1416]) ).
tcf(c_3280,plain,
( ( intersection(xf,cross_product(universal_class,universal_class)) = xf )
| ~ subclass(xf,intersection(xf,cross_product(universal_class,universal_class)))
| ~ subclass(intersection(xf,cross_product(universal_class,universal_class)),xf) ),
inference(instantiation,[status(thm)],[c_169]) ).
tcf(c_3291,plain,
( subclass(xf,intersection(xf,cross_product(universal_class,universal_class)))
| ~ member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),intersection(xf,cross_product(universal_class,universal_class))) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_3292,plain,
( subclass(xf,intersection(xf,cross_product(universal_class,universal_class)))
| member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),xf) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_3329,plain,
( member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),intersection(xf,cross_product(universal_class,universal_class)))
| ~ member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),xf)
| ~ member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_3428,plain,
( subclass(intersection(xf,cross_product(universal_class,universal_class)),xf)
| ~ member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),xf) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_3429,plain,
( subclass(intersection(xf,cross_product(universal_class,universal_class)),xf)
| member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),intersection(xf,cross_product(universal_class,universal_class))) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_4150,plain,
! [X0: $i] :
( member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),X0)
| ~ subclass(xf,X0)
| ~ member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),xf) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_5119,plain,
( member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),xf)
| ~ member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),intersection(xf,cross_product(universal_class,universal_class))) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_5347,plain,
( member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class))
| ~ subclass(xf,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(xf,intersection(xf,cross_product(universal_class,universal_class))),xf) ),
inference(instantiation,[status(thm)],[c_4150]) ).
tcf(c_6271,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5347,c_5119,c_3428,c_3429,c_3329,c_3291,c_3292,c_3280,c_1417,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET442-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.45 % Computer : n009.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Thu Sep 24 10:57:14 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.52
% 0.23/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.52
% 0.23/0.52 % Detected problem language: tptp
% 0.23/0.53 % Proving...
% 10.74/2.43 % SZS status Started for theBenchmark.p
% 10.74/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 10.74/2.43
% 10.74/2.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.74/2.43
% 10.74/2.43 % ------ iProver source info
% 10.74/2.43
% 10.74/2.43 % git: date: 2026-07-19 20:42:38 +0200
% 10.74/2.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.74/2.43 % git: non_committed_changes: false
% 10.74/2.43
% 10.74/2.43 % ------ Parsing...% successful
% 10.74/2.43
% 10.74/2.43
% 10.74/2.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.74/2.43
% 10.74/2.43 % ------ 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 %
% 10.74/2.43
% 10.74/2.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.74/2.43
% 10.74/2.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.74/2.43 % ------ Proving...
% 10.74/2.43 % ------ Problem Properties
% 10.74/2.43
% 10.74/2.43 %
% 10.74/2.43 % clauses 83
% 10.74/2.43 % conjectures 2
% 10.74/2.43 % EPR 13
% 10.74/2.43 % Horn 75
% 10.74/2.43 % unary 22
% 10.74/2.43 % binary 40
% 10.74/2.43 % lits 171
% 10.74/2.43 % lits eq 26
% 10.74/2.43 % fd_pure 0
% 10.74/2.43 % fd_pseudo 0
% 10.74/2.43 % fd_cond 3
% 10.74/2.43 % fd_pseudo_cond 7
% 10.74/2.43 % AC symbols 0
% 10.74/2.43
% 10.74/2.43 % ------ Input Options Time Limit: Unbounded
% 10.74/2.43
% 10.74/2.43
% 10.74/2.43 % ------
% 10.74/2.43 % Current options:
% 10.74/2.43 % ------
% 10.74/2.43
% 10.74/2.43
% 10.74/2.43 %
% 10.74/2.43
% 10.74/2.43 % ------ Proving...
% 10.74/2.43 %
% 10.74/2.43
% 10.74/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 10.74/2.43
% 10.74/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.74/2.44
% 10.74/2.44
%------------------------------------------------------------------------------