%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET062-6 : 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 : n018.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 02:46:19 PM UTC 2026
% Result : Unsatisfiable 1.55s 1.29s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 45 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 19 |; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 21 :)
% 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(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
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(f101,negated_conjecture,
~ subclass(null_class,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_144,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_193,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_216,negated_conjecture,
~ subclass(null_class,x),
inference(cnf_transformation,[],[f101]) ).
tcf(c_2638,negated_conjecture,
~ subclass(null_class,x),
inference(demodulation,[status(thm)],[c_216]) ).
tcf(c_3458,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_142,c_162]) ).
tcf(c_3459,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_193,c_162]) ).
tcf(c_3464,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3459]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_144,c_141]) ).
tcf(c_3532,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_142,c_3484]) ).
tcf(c_3723,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_3532,c_3458]) ).
tcf(c_3735,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_3723,c_141]) ).
tcf(c_3748,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_193,c_3735]) ).
tcf(c_3751,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_3748]) ).
tcf(c_3758,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_3748,c_3464,c_3751]) ).
tcf(c_3762,plain,
! [X0: $i] : subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_3723,c_3758]) ).
tcf(c_3767,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2638,c_3762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET062-6 : 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 : n018.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 09:32:34 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
% 0.11/0.43 % Proving...
% 1.55/1.29 % SZS status Started for theBenchmark.p
% 1.55/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.29
% 1.55/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.55/1.29
% 1.55/1.29 % ------ iProver source info
% 1.55/1.29
% 1.55/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.55/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.55/1.29 % git: non_committed_changes: false
% 1.55/1.29
% 1.55/1.29 % ------ Parsing...% successful
% 1.55/1.29
% 1.55/1.29
% 1.55/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.55/1.29
% 1.55/1.29 % ------ 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 %
% 1.55/1.29
% 1.55/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.55/1.29
% 1.55/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.55/1.29 % ------ Proving...
% 1.55/1.29 % ------ Problem Properties
% 1.55/1.29
% 1.55/1.29 %
% 1.55/1.29 % clauses 68
% 1.55/1.29 % conjectures 1
% 1.55/1.29 % EPR 13
% 1.55/1.29 % Horn 60
% 1.55/1.29 % unary 16
% 1.55/1.29 % binary 32
% 1.55/1.29 % lits 146
% 1.55/1.29 % lits eq 20
% 1.55/1.29 % fd_pure 0
% 1.55/1.29 % fd_pseudo 0
% 1.55/1.29 % fd_cond 3
% 1.55/1.29 % fd_pseudo_cond 3
% 1.55/1.29 % AC symbols 0
% 1.55/1.29
% 1.55/1.29 % ------ Schedule dynamic 5 is on
% 1.55/1.29
% 1.55/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.55/1.29
% 1.55/1.29
% 1.55/1.29 % ------
% 1.55/1.29 % Current options:
% 1.55/1.29 % ------
% 1.55/1.29
% 1.55/1.29
% 1.55/1.29 %
% 1.55/1.29
% 1.55/1.29 % ------ Proving...
% 1.55/1.29 %
% 1.55/1.29
% 1.55/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.29
% 1.55/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/1.29
% 1.55/1.29
%------------------------------------------------------------------------------