%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET254-6 : 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 : n007.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 02:47:01 PM UTC 2026
% Result : Unsatisfiable 9.85s 17.34s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 56 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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; 0-3 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 21 :)
% 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(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
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(f122,negated_conjecture,
subclass(x1,x2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_1) ).
fof(f123,negated_conjecture,
~ subclass(restrict(x1,y,z),restrict(x2,y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_2) ).
fof(f186,plain,
~ subclass(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),
inference(definition_unfolding,[],[f123,f28,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_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
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_256,negated_conjecture,
subclass(x1,x2),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
~ subclass(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),
inference(cnf_transformation,[],[f186]) ).
tcf(c_3177,plain,
( subclass(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z)))
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x2,cross_product(y,z))) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_3178,plain,
( subclass(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z)))
| member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x1,cross_product(y,z))) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_3205,plain,
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x2,cross_product(y,z)))
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x2)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),cross_product(y,z)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_3221,plain,
! [X0: $i] :
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x2)
| ~ subclass(X0,x2)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),X0) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_3656,plain,
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x2)
| ~ subclass(x1,x2)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x1) ),
inference(instantiation,[status(thm)],[c_3221]) ).
tcf(c_4683,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),X1)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(X0,X1)) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),X0)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(X0,X1)) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_6428,plain,
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),cross_product(y,z))
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x1,cross_product(y,z))) ),
inference(instantiation,[status(thm)],[c_4683]) ).
tcf(c_6504,plain,
( member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x1)
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x1,cross_product(y,z))) ),
inference(instantiation,[status(thm)],[c_4690]) ).
tcf(c_6505,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6504,c_6428,c_3656,c_3205,c_3177,c_3178,c_257,c_256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.40 % Computer : n007.cluster.edu
% 0.10/15.40 % Model : x86_64 x86_64
% 0.10/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.40 % Memory : 8046.5625MB
% 0.10/15.40 % OS : Linux 6.8.0-71-generic
% 0.10/15.40 % CPULimit : 300
% 0.14/15.40 % WCLimit : 300
% 0.14/15.40 % DateTime : Thu Sep 24 10:21:39 UTC 2026
% 0.14/15.40 % CPUTime :
% 0.14/15.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/15.44 Running first-order theorem proving
% 0.14/15.44 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
% 0.14/15.45
% 0.14/15.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.45
% 0.14/15.45 % Detected problem language: tptp
% 0.14/15.46 % Proving...
% 9.85/17.34 % SZS status Started for theBenchmark.p
% 9.85/17.34 % SZS status Unsatisfiable for theBenchmark.p
% 9.85/17.34
% 9.85/17.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.85/17.34
% 9.85/17.34 % ------ iProver source info
% 9.85/17.34
% 9.85/17.34 % git: date: 2026-07-19 20:42:38 +0200
% 9.85/17.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.85/17.34 % git: non_committed_changes: false
% 9.85/17.34
% 9.85/17.34 % ------ Parsing...% successful
% 9.85/17.34
% 9.85/17.34
% 9.85/17.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.85/17.34
% 9.85/17.34 % ------ 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 %
% 9.85/17.34
% 9.85/17.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.85/17.34
% 9.85/17.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.85/17.34 % ------ Proving...
% 9.85/17.34 % ------ Problem Properties
% 9.85/17.34
% 9.85/17.34 %
% 9.85/17.34 % clauses 83
% 9.85/17.34 % conjectures 2
% 9.85/17.34 % EPR 13
% 9.85/17.34 % Horn 75
% 9.85/17.34 % unary 22
% 9.85/17.34 % binary 40
% 9.85/17.34 % lits 171
% 9.85/17.34 % lits eq 25
% 9.85/17.34 % fd_pure 0
% 9.85/17.34 % fd_pseudo 0
% 9.85/17.34 % fd_cond 3
% 9.85/17.34 % fd_pseudo_cond 7
% 9.85/17.34 % AC symbols 0
% 9.85/17.34
% 9.85/17.34 % ------ Input Options Time Limit: Unbounded
% 9.85/17.34
% 9.85/17.34
% 9.85/17.34 % ------
% 9.85/17.34 % Current options:
% 9.85/17.34 % ------
% 9.85/17.34
% 9.85/17.34
% 9.85/17.34 %
% 9.85/17.34
% 9.85/17.34 % ------ Proving...
% 9.85/17.34 %
% 9.85/17.34
% 9.85/17.34 % SZS status Unsatisfiable for theBenchmark.p
% 9.85/17.34
% 9.85/17.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.85/17.34
% 9.85/17.34
%------------------------------------------------------------------------------