%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET253-6 : 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 : n013.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 3.78s 1.26s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 14 unt; 2 def)
% Number of atoms : 46 ( 8 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
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(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).
fof(f122,negated_conjecture,
~ subclass(restrict(x,y,z),cross_product(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property4_1) ).
fof(f142,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f185,plain,
~ subclass(intersection(x,cross_product(y,z)),cross_product(y,z)),
inference(definition_unfolding,[],[f122,f28]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(cnf_transformation,[],[f142]) ).
tcf(c_255,negated_conjecture,
~ subclass(intersection(x,cross_product(y,z)),cross_product(y,z)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_2974,definition,
iPr_def_10 = cross_product(y,z),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = intersection(x,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,negated_conjecture,
~ subclass(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_255,c_2974,c_2975]) ).
tcf(c_3843,plain,
! [X0: $i] : intersection(X0,iPr_def_10) = intersection(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2974,c_185]) ).
tcf(c_3845,plain,
intersection(iPr_def_10,x) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2975,c_3843]) ).
tcf(c_3874,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3845,c_180]) ).
tcf(c_3900,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_3874]) ).
tcf(c_3911,plain,
subclass(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_3900,c_164]) ).
tcf(c_3912,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3911,c_2976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET253-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 10:22:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.78/1.26 % SZS status Started for theBenchmark.p
% 3.78/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.78/1.26
% 3.78/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.78/1.26
% 3.78/1.26 % ------ iProver source info
% 3.78/1.26
% 3.78/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.78/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.78/1.26 % git: non_committed_changes: false
% 3.78/1.26
% 3.78/1.26 % ------ Parsing...% successful
% 3.78/1.26
% 3.78/1.26
% 3.78/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.78/1.26
% 3.78/1.26 % ------ 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 %
% 3.78/1.26
% 3.78/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.78/1.26
% 3.78/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.78/1.26 % ------ Proving...
% 3.78/1.26 % ------ Problem Properties
% 3.78/1.26
% 3.78/1.26 %
% 3.78/1.26 % clauses 84
% 3.78/1.26 % conjectures 1
% 3.78/1.26 % EPR 13
% 3.78/1.26 % Horn 76
% 3.78/1.26 % unary 23
% 3.78/1.26 % binary 40
% 3.78/1.26 % lits 172
% 3.78/1.26 % lits eq 27
% 3.78/1.26 % fd_pure 0
% 3.78/1.26 % fd_pseudo 0
% 3.78/1.26 % fd_cond 3
% 3.78/1.26 % fd_pseudo_cond 7
% 3.78/1.26 % AC symbols 0
% 3.78/1.26
% 3.78/1.26 % ------ Schedule dynamic 5 is on
% 3.78/1.26
% 3.78/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.78/1.26
% 3.78/1.26
% 3.78/1.26 % ------
% 3.78/1.26 % Current options:
% 3.78/1.26 % ------
% 3.78/1.26
% 3.78/1.26
% 3.78/1.26 %
% 3.78/1.26
% 3.78/1.26 % ------ Proving...
% 3.78/1.26 %
% 3.78/1.26
% 3.78/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.78/1.26
% 3.78/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.26
% 3.78/1.26
%------------------------------------------------------------------------------