%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET118-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 02:46:40 PM UTC 2026
% Result : Unsatisfiable 3.97s 11.32s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 11 unt; 1 def)
% Number of atoms : 21 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 6 :)
% 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f185,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_1) ).
fof(f186,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_2) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_218,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_361,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_362,negated_conjecture,
~ member(x,universal_class),
inference(cnf_transformation,[],[f186]) ).
tcf(c_4050,definition,
iPr_def_10 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4051,negated_conjecture,
~ member(x,universal_class),
inference(demodulation,[status(thm)],[c_362]) ).
tcf(c_4052,negated_conjecture,
member(x,iPr_def_10),
inference(demodulation,[status(thm)],[c_361,c_4050]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_218,c_215]) ).
tcf(c_5759,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_4052,c_5689]) ).
tcf(c_5763,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5759,c_4051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET118-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.40 % Computer : n014.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.15/10.40 % DateTime : Thu Sep 24 09:55:00 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.44 Running first-order theorem proving
% 0.15/10.44 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
% 0.15/10.45
% 0.15/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.45
% 0.15/10.45 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 3.97/11.32 % SZS status Started for theBenchmark.p
% 3.97/11.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/11.32
% 3.97/11.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.97/11.32
% 3.97/11.32 % ------ iProver source info
% 3.97/11.32
% 3.97/11.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.97/11.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.97/11.32 % git: non_committed_changes: false
% 3.97/11.32
% 3.97/11.32 % ------ Parsing...% successful
% 3.97/11.32
% 3.97/11.32
% 3.97/11.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.97/11.32
% 3.97/11.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.97/11.32
% 3.97/11.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.97/11.32
% 3.97/11.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.97/11.32 % ------ Proving...
% 3.97/11.32 % ------ Problem Properties
% 3.97/11.32
% 3.97/11.32 %
% 3.97/11.32 % clauses 132
% 3.97/11.32 % conjectures 2
% 3.97/11.32 % EPR 19
% 3.97/11.32 % Horn 101
% 3.97/11.32 % unary 30
% 3.97/11.32 % binary 62
% 3.97/11.32 % lits 281
% 3.97/11.32 % lits eq 82
% 3.97/11.32 % fd_pure 0
% 3.97/11.32 % fd_pseudo 0
% 3.97/11.32 % fd_cond 5
% 3.97/11.32 % fd_pseudo_cond 16
% 3.97/11.32 % AC symbols 0
% 3.97/11.32
% 3.97/11.32 % ------ Schedule dynamic 5 is on
% 3.97/11.32
% 3.97/11.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.97/11.32
% 3.97/11.32
% 3.97/11.32 % ------
% 3.97/11.32 % Current options:
% 3.97/11.32 % ------
% 3.97/11.32
% 3.97/11.32
% 3.97/11.32 %
% 3.97/11.32
% 3.97/11.32 % ------ Proving...
% 3.97/11.32 %
% 3.97/11.32
% 3.97/11.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/11.32
% 3.97/11.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/11.32
% 3.97/11.32
%------------------------------------------------------------------------------