%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET153-6 : 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 : n020.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 02:46:46 PM UTC 2026
% Result : Unsatisfiable 4.12s 16.32s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 71 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 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 : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 18 :)
% 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(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(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
intersection(complement(x),x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_with_complement_1) ).
fof(f123,plain,
null_class != intersection(complement(x),x),
inference(reorient_equations,[],[f122]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_165,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_181,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] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_214,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_255,negated_conjecture,
intersection(complement(x),x) != null_class,
inference(cnf_transformation,[],[f123]) ).
tcf(c_2974,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = intersection(iPr_def_10,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,negated_conjecture,
iPr_def_11 != null_class,
inference(demodulation,[status(thm)],[c_255,c_2974,c_2975]) ).
tcf(c_3868,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_180]) ).
tcf(c_3889,plain,
( member(regular(iPr_def_11),iPr_def_10)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_214,c_3868]) ).
tcf(c_3912,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_181]) ).
tcf(c_3931,plain,
( member(regular(iPr_def_11),x)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_214,c_3912]) ).
tcf(c_3952,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2974,c_183]) ).
tcf(c_3969,plain,
( ( null_class = iPr_def_11 )
| ~ member(regular(iPr_def_11),x) ),
inference(superposition,[status(thm)],[c_3889,c_3952]) ).
tcf(c_4024,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4120,plain,
( member(regular(iPr_def_11),universal_class)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_3931,c_4024]) ).
tcf(c_4264,plain,
null_class = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_4120,c_3931,c_3969]) ).
tcf(c_4273,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_2976,c_4264]) ).
tcf(c_4274,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET153-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.41 % Computer : n020.cluster.edu
% 0.12/15.41 % Model : x86_64 x86_64
% 0.12/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.41 % Memory : 8046.5625MB
% 0.12/15.41 % OS : Linux 6.8.0-71-generic
% 0.12/15.41 % CPULimit : 300
% 0.12/15.41 % WCLimit : 300
% 0.12/15.41 % DateTime : Thu Sep 24 10:04:05 UTC 2026
% 0.12/15.41 % CPUTime :
% 0.12/15.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.45 Running first-order theorem proving
% 0.12/15.45 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
% 0.12/15.46
% 0.12/15.46 % ======== iProver multi-core TPTP/SMT =========
% 0.12/15.46
% 0.12/15.46 % Detected problem language: tptp
% 0.12/15.47 % Proving...
% 4.12/16.32 % SZS status Started for theBenchmark.p
% 4.12/16.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.12/16.32
% 4.12/16.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.12/16.32
% 4.12/16.32 % ------ iProver source info
% 4.12/16.32
% 4.12/16.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.12/16.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.12/16.32 % git: non_committed_changes: false
% 4.12/16.32
% 4.12/16.32 % ------ Parsing...% successful
% 4.12/16.32
% 4.12/16.32
% 4.12/16.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.12/16.32
% 4.12/16.32 % ------ 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 %
% 4.12/16.32
% 4.12/16.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.12/16.32
% 4.12/16.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.12/16.32 % ------ Proving...
% 4.12/16.32 % ------ Problem Properties
% 4.12/16.32
% 4.12/16.32 %
% 4.12/16.32 % clauses 84
% 4.12/16.32 % conjectures 1
% 4.12/16.32 % EPR 13
% 4.12/16.32 % Horn 76
% 4.12/16.32 % unary 23
% 4.12/16.32 % binary 40
% 4.12/16.32 % lits 172
% 4.12/16.32 % lits eq 28
% 4.12/16.32 % fd_pure 0
% 4.12/16.32 % fd_pseudo 0
% 4.12/16.32 % fd_cond 3
% 4.12/16.32 % fd_pseudo_cond 7
% 4.12/16.32 % AC symbols 0
% 4.12/16.32
% 4.12/16.32 % ------ Schedule dynamic 5 is on
% 4.12/16.32
% 4.12/16.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.12/16.32
% 4.12/16.32
% 4.12/16.32 % ------
% 4.12/16.32 % Current options:
% 4.12/16.32 % ------
% 4.12/16.32
% 4.12/16.32
% 4.12/16.32 %
% 4.12/16.32
% 4.12/16.32 % ------ Proving...
% 4.12/16.32 %
% 4.12/16.32
% 4.12/16.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.12/16.32
% 4.12/16.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/16.32
% 4.12/16.32
%------------------------------------------------------------------------------