%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET236-6 : 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 : 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 02:46:59 PM UTC 2026
% Result : Unsatisfiable 3.97s 1.30s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 13 :)
% 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(f17,axiom,
! [X2,X0,X1] :
( ordered_pair(first(X0),second(X0)) = X0
| ~ member(X0,cross_product(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
fof(f122,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_2) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_3) ).
tcf(c_164,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f122]) ).
tcf(c_165,negated_conjecture,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
inference(cnf_transformation,[],[f123]) ).
tcf(c_166,negated_conjecture,
~ subclass(x,y),
inference(cnf_transformation,[],[f124]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordered_pair(first(X0),second(X0)) = X0 )
| ~ member(X0,cross_product(X1,X2)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_599,plain,
! [X0: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_164,c_171]) ).
tcf(c_648,plain,
! [X0: $i] :
( ( ordered_pair(first(X0),second(X0)) = X0 )
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_599,c_177]) ).
tcf(c_696,plain,
! [X0: $i] :
( subclass(x,X0)
| ( ordered_pair(first(not_subclass_element(x,X0)),second(not_subclass_element(x,X0))) = not_subclass_element(x,X0) ) ),
inference(superposition,[status(thm)],[c_176,c_648]) ).
tcf(c_709,plain,
ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y),
inference(superposition,[status(thm)],[c_696,c_166]) ).
tcf(c_719,plain,
member(not_subclass_element(x,y),y),
inference(demodulation,[status(thm)],[c_165,c_709]) ).
tcf(c_721,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_719,c_175]) ).
tcf(c_723,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_721,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET236-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n011.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 10:20:28 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 3.97/1.30 % SZS status Started for theBenchmark.p
% 3.97/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.30
% 3.97/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.97/1.30
% 3.97/1.30 % ------ iProver source info
% 3.97/1.30
% 3.97/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.97/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.97/1.30 % git: non_committed_changes: false
% 3.97/1.30
% 3.97/1.30 % ------ Parsing...% successful
% 3.97/1.30
% 3.97/1.30
% 3.97/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.97/1.30
% 3.97/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.97/1.30
% 3.97/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.97/1.30
% 3.97/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.97/1.30 % ------ Proving...
% 3.97/1.30 % ------ Problem Properties
% 3.97/1.30
% 3.97/1.30 %
% 3.97/1.30 % clauses 13
% 3.97/1.30 % conjectures 3
% 3.97/1.30 % EPR 5
% 3.97/1.30 % Horn 12
% 3.97/1.30 % unary 5
% 3.97/1.30 % binary 5
% 3.97/1.30 % lits 24
% 3.97/1.30 % lits eq 2
% 3.97/1.30 % fd_pure 0
% 3.97/1.30 % fd_pseudo 0
% 3.97/1.30 % fd_cond 0
% 3.97/1.30 % fd_pseudo_cond 1
% 3.97/1.30 % AC symbols 0
% 3.97/1.30
% 3.97/1.30 % ------ Schedule dynamic 5 is on
% 3.97/1.30
% 3.97/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.97/1.30
% 3.97/1.30
% 3.97/1.30 % ------
% 3.97/1.30 % Current options:
% 3.97/1.30 % ------
% 3.97/1.30
% 3.97/1.30
% 3.97/1.30 %
% 3.97/1.30
% 3.97/1.30 % ------ Proving...
% 3.97/1.30 %
% 3.97/1.30
% 3.97/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.30
% 3.97/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.30
% 3.97/1.30
%------------------------------------------------------------------------------