%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET507-6 : 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 : 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 02:47:20 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.20s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 43 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 18 |; 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 17 :)
% 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(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
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,
subclass(universal_class,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).
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_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
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,
subclass(universal_class,null_class),
inference(cnf_transformation,[],[f122]) ).
tcf(c_2974,negated_conjecture,
subclass(universal_class,null_class),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4052,plain,
( ( universal_class = null_class )
| ~ subclass(null_class,universal_class) ),
inference(superposition,[status(thm)],[c_2974,c_168]) ).
tcf(c_4074,plain,
universal_class = null_class,
inference(forward_subsumption_resolution,[status(thm)],[c_4052,c_165]) ).
tcf(c_4101,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = universal_class ) ),
inference(demodulation,[status(thm)],[c_214,c_4074]) ).
tcf(c_4160,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = universal_class ) ),
inference(superposition,[status(thm)],[c_4101,c_3985]) ).
tcf(c_4163,plain,
! [X0: $i] :
( ( complement(X0) = universal_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_4101,c_183]) ).
tcf(c_4320,plain,
complement(universal_class) = universal_class,
inference(superposition,[status(thm)],[c_4160,c_4163]) ).
tcf(c_4514,plain,
! [X0: $i] : ~ member(X0,universal_class),
inference(superposition,[status(thm)],[c_4320,c_183]) ).
tcf(c_4515,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_172,c_4514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET507-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 11:08:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 2.79/1.20 % SZS status Started for theBenchmark.p
% 2.79/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.20
% 2.79/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.79/1.20
% 2.79/1.20 % ------ iProver source info
% 2.79/1.20
% 2.79/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 2.79/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.79/1.20 % git: non_committed_changes: false
% 2.79/1.20
% 2.79/1.20 % ------ Parsing...% successful
% 2.79/1.20
% 2.79/1.20
% 2.79/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.79/1.20
% 2.79/1.20 % ------ 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 %
% 2.79/1.20
% 2.79/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.79/1.20
% 2.79/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.79/1.20 % ------ Proving...
% 2.79/1.20 % ------ Problem Properties
% 2.79/1.20
% 2.79/1.20 %
% 2.79/1.20 % clauses 82
% 2.79/1.20 % conjectures 1
% 2.79/1.20 % EPR 13
% 2.79/1.20 % Horn 74
% 2.79/1.20 % unary 21
% 2.79/1.20 % binary 40
% 2.79/1.20 % lits 170
% 2.79/1.20 % lits eq 25
% 2.79/1.20 % fd_pure 0
% 2.79/1.20 % fd_pseudo 0
% 2.79/1.20 % fd_cond 3
% 2.79/1.20 % fd_pseudo_cond 7
% 2.79/1.20 % AC symbols 0
% 2.79/1.20
% 2.79/1.20 % ------ Schedule dynamic 5 is on
% 2.79/1.20
% 2.79/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.20
% 2.79/1.20
% 2.79/1.20 % ------
% 2.79/1.20 % Current options:
% 2.79/1.20 % ------
% 2.79/1.20
% 2.79/1.20
% 2.79/1.20 %
% 2.79/1.20
% 2.79/1.20 % ------ Proving...
% 2.79/1.20 %
% 2.79/1.20
% 2.79/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.20
% 2.79/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.20
% 2.79/1.20
%------------------------------------------------------------------------------