%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET240-6 : 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 : n008.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 02:47:00 PM UTC 2026
% Result : Unsatisfiable 3.91s 16.52s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
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(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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction2) ).
fof(f122,negated_conjecture,
member(ordered_pair(u,v),restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn3_1) ).
fof(f123,negated_conjecture,
~ member(u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn3_2) ).
fof(f125,plain,
member(ordered_pair(u,v),intersection(cross_product(x,y),xr)),
inference(definition_unfolding,[],[f122,f29]) ).
fof(f128,plain,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = intersection(cross_product(X1,X2),X0),
inference(definition_unfolding,[],[f28,f29]) ).
tcf(c_163,negated_conjecture,
member(ordered_pair(u,v),intersection(cross_product(x,y),xr)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_164,negated_conjecture,
~ member(u,x),
inference(cnf_transformation,[],[f123]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(cnf_transformation,[],[f128]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_390,plain,
member(ordered_pair(u,v),intersection(xr,cross_product(x,y))),
inference(demodulation,[status(thm)],[c_163,c_170]) ).
tcf(c_924,plain,
member(ordered_pair(u,v),cross_product(x,y)),
inference(superposition,[status(thm)],[c_390,c_180]) ).
tcf(c_939,plain,
member(u,x),
inference(superposition,[status(thm)],[c_924,c_167]) ).
tcf(c_940,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_939,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET240-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.60 % Computer : n008.cluster.edu
% 0.10/15.60 % Model : x86_64 x86_64
% 0.10/15.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.60 % Memory : 8046.5625MB
% 0.10/15.60 % OS : Linux 6.8.0-71-generic
% 0.10/15.60 % CPULimit : 300
% 0.10/15.60 % WCLimit : 300
% 0.10/15.60 % DateTime : Thu Sep 24 10:22:30 UTC 2026
% 0.13/15.60 % CPUTime :
% 0.13/15.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/15.64 Running first-order theorem proving
% 0.13/15.64 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
% 0.13/15.65
% 0.13/15.65 % ======== iProver multi-core TPTP/SMT =========
% 0.13/15.65
% 0.13/15.65 % Detected problem language: tptp
% 0.13/15.66 % Proving...
% 3.91/16.52 % SZS status Started for theBenchmark.p
% 3.91/16.52 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/16.52
% 3.91/16.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.91/16.52
% 3.91/16.52 % ------ iProver source info
% 3.91/16.52
% 3.91/16.52 % git: date: 2026-07-19 20:42:38 +0200
% 3.91/16.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.91/16.52 % git: non_committed_changes: false
% 3.91/16.52
% 3.91/16.52 % ------ Parsing...% successful
% 3.91/16.52
% 3.91/16.52
% 3.91/16.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.91/16.52
% 3.91/16.52 % ------ Preprocessing... sup_sim: 1 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.91/16.52
% 3.91/16.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.91/16.52
% 3.91/16.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.91/16.52 % ------ Proving...
% 3.91/16.52 % ------ Problem Properties
% 3.91/16.52
% 3.91/16.52 %
% 3.91/16.52 % clauses 20
% 3.91/16.52 % conjectures 1
% 3.91/16.52 % EPR 5
% 3.91/16.52 % Horn 19
% 3.91/16.52 % unary 6
% 3.91/16.52 % binary 7
% 3.91/16.52 % lits 41
% 3.91/16.52 % lits eq 5
% 3.91/16.52 % fd_pure 0
% 3.91/16.52 % fd_pseudo 0
% 3.91/16.52 % fd_cond 0
% 3.91/16.52 % fd_pseudo_cond 2
% 3.91/16.52 % AC symbols 0
% 3.91/16.52
% 3.91/16.52 % ------ Schedule dynamic 5 is on
% 3.91/16.52
% 3.91/16.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/16.52
% 3.91/16.52
% 3.91/16.52 % ------
% 3.91/16.52 % Current options:
% 3.91/16.52 % ------
% 3.91/16.52
% 3.91/16.52
% 3.91/16.52 %
% 3.91/16.52
% 3.91/16.52 % ------ Proving...
% 3.91/16.52 %
% 3.91/16.52
% 3.91/16.52 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/16.52
% 3.91/16.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/16.52
% 3.91/16.52
%------------------------------------------------------------------------------