%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET506-6 : 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 02:47:20 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.75s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 63 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 24 :)
% 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(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f48,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
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,
universal_class = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).
fof(f137,plain,
! [X0] : subclass(X0,null_class),
inference(definition_unfolding,[],[f4,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,negated_conjecture,
! [X0: $i] : subclass(X0,null_class),
inference(cnf_transformation,[],[f137]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_197,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_200,plain,
inductive(omega),
inference(cnf_transformation,[],[f51]) ).
tcf(c_214,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_255,plain,
subclass(null_class,null_class),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_273,plain,
( ~ member(null_class,null_class)
| ~ member(null_class,complement(null_class)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_284,plain,
( ( null_class = null_class )
| ~ subclass(null_class,null_class) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_379,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(prop_impl_just,[status(thm)],[c_197]) ).
tcf(c_1135,plain,
! [X0: $i] :
( member(null_class,X0)
| ( X0 != omega ) ),
inference(resolution_lifted,[status(thm)],[c_379,c_200]) ).
tcf(c_1136,plain,
member(null_class,omega),
inference(unflattening,[status(thm)],[c_1135]) ).
tcf(c_2329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3582,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_214,c_183]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i] :
( member(X0,null_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_3752,plain,
! [X0: $i] :
( member(regular(X0),null_class)
| ( X0 = null_class ) ),
inference(superposition,[status(thm)],[c_214,c_3604]) ).
tcf(c_3758,plain,
member(null_class,null_class),
inference(superposition,[status(thm)],[c_1136,c_3604]) ).
tcf(c_4598,plain,
complement(null_class) = null_class,
inference(superposition,[status(thm)],[c_3752,c_3582]) ).
tcf(c_4907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,complement(X0))
| ~ member(X3,X1)
| ( X2 != X3 )
| ( complement(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_2329]) ).
tcf(c_4908,plain,
( member(null_class,complement(null_class))
| ~ member(null_class,null_class)
| ( null_class != null_class )
| ( complement(null_class) != null_class ) ),
inference(instantiation,[status(thm)],[c_4907]) ).
tcf(c_4909,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4908,c_4598,c_3758,c_284,c_273,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET506-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 11:09:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.60/1.75 % SZS status Started for theBenchmark.p
% 3.60/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.75
% 3.60/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.60/1.75
% 3.60/1.75 % ------ iProver source info
% 3.60/1.75
% 3.60/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 3.60/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.60/1.75 % git: non_committed_changes: false
% 3.60/1.75
% 3.60/1.75 % ------ Parsing...% successful
% 3.60/1.75
% 3.60/1.75
% 3.60/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.60/1.75
% 3.60/1.75 % ------ 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 %
% 3.60/1.75
% 3.60/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.60/1.75
% 3.60/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.60/1.75 % ------ Proving...
% 3.60/1.75 % ------ Problem Properties
% 3.60/1.75
% 3.60/1.75 %
% 3.60/1.75 % clauses 81
% 3.60/1.75 % conjectures 43
% 3.60/1.75 % EPR 12
% 3.60/1.75 % Horn 73
% 3.60/1.75 % unary 20
% 3.60/1.75 % binary 40
% 3.60/1.75 % lits 169
% 3.60/1.75 % lits eq 25
% 3.60/1.75 % fd_pure 0
% 3.60/1.75 % fd_pseudo 0
% 3.60/1.75 % fd_cond 3
% 3.60/1.75 % fd_pseudo_cond 7
% 3.60/1.75 % AC symbols 0
% 3.60/1.75
% 3.60/1.75 % ------ Input Options Time Limit: Unbounded
% 3.60/1.75
% 3.60/1.75
% 3.60/1.75 % ------
% 3.60/1.75 % Current options:
% 3.60/1.75 % ------
% 3.60/1.75
% 3.60/1.75
% 3.60/1.75 %
% 3.60/1.75
% 3.60/1.75 % ------ Proving...
% 3.60/1.75 %
% 3.60/1.75
% 3.60/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.75
% 3.60/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.75
% 3.60/1.75
%------------------------------------------------------------------------------