%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET187-6 : 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 : n006.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 02:46:52 PM UTC 2026
% Result : Unsatisfiable 4.11s 1.30s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 72 ( 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 : 29 ( 0 sgn 29 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
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(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox/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,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property5_1) ).
fof(f123,negated_conjecture,
intersection(complement(y),x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property5_2) ).
fof(f124,plain,
null_class != intersection(complement(y),x),
inference(reorient_equations,[],[f123]) ).
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_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_184,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_215,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_256,negated_conjecture,
subclass(x,y),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
intersection(complement(y),x) != null_class,
inference(cnf_transformation,[],[f124]) ).
tcf(c_2981,definition,
iPr_def_10 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2982,definition,
iPr_def_11 = intersection(iPr_def_10,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2983,negated_conjecture,
iPr_def_11 != null_class,
inference(demodulation,[status(thm)],[c_257,c_2981,c_2982]) ).
tcf(c_2984,negated_conjecture,
subclass(x,y),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_3878,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2982,c_181]) ).
tcf(c_3893,plain,
( member(regular(iPr_def_11),iPr_def_10)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_215,c_3878]) ).
tcf(c_3914,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2982,c_182]) ).
tcf(c_3927,plain,
( member(regular(iPr_def_11),x)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_215,c_3914]) ).
tcf(c_3948,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2981,c_184]) ).
tcf(c_3965,plain,
( ( null_class = iPr_def_11 )
| ~ member(regular(iPr_def_11),y) ),
inference(superposition,[status(thm)],[c_3893,c_3948]) ).
tcf(c_4018,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2984,c_163]) ).
tcf(c_4102,plain,
( member(regular(iPr_def_11),y)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_3927,c_4018]) ).
tcf(c_4159,plain,
null_class = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_4102,c_3965,c_4102]) ).
tcf(c_4164,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_2983,c_4159]) ).
tcf(c_4165,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET187-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 10:10:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 4.11/1.30 % SZS status Started for theBenchmark.p
% 4.11/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.30
% 4.11/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.30
% 4.11/1.30 % ------ iProver source info
% 4.11/1.30
% 4.11/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.30 % git: non_committed_changes: false
% 4.11/1.30
% 4.11/1.30 % ------ Parsing...% successful
% 4.11/1.30
% 4.11/1.30
% 4.11/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.30
% 4.11/1.30 % ------ 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 %
% 4.11/1.30
% 4.11/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.11/1.30
% 4.11/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.11/1.30 % ------ Proving...
% 4.11/1.30 % ------ Problem Properties
% 4.11/1.30
% 4.11/1.30 %
% 4.11/1.30 % clauses 85
% 4.11/1.30 % conjectures 2
% 4.11/1.30 % EPR 14
% 4.11/1.30 % Horn 77
% 4.11/1.30 % unary 24
% 4.11/1.30 % binary 40
% 4.11/1.30 % lits 173
% 4.11/1.30 % lits eq 28
% 4.11/1.30 % fd_pure 0
% 4.11/1.30 % fd_pseudo 0
% 4.11/1.30 % fd_cond 3
% 4.11/1.30 % fd_pseudo_cond 7
% 4.11/1.30 % AC symbols 0
% 4.11/1.30
% 4.11/1.30 % ------ Schedule dynamic 5 is on
% 4.11/1.30
% 4.11/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.30
% 4.11/1.30
% 4.11/1.30 % ------
% 4.11/1.30 % Current options:
% 4.11/1.30 % ------
% 4.11/1.30
% 4.11/1.30
% 4.11/1.30 %
% 4.11/1.30
% 4.11/1.30 % ------ Proving...
% 4.11/1.30 %
% 4.11/1.30
% 4.11/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.30
% 4.11/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.30
% 4.11/1.30
%------------------------------------------------------------------------------