%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET080-6 : 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 : n011.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 02:46:29 PM UTC 2026
% Result : Unsatisfiable 4.10s 16.36s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 1 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 10 :)
% 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f48,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
fof(f101,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).
fof(f150,plain,
~ member(null_class,unordered_pair(null_class,null_class)),
inference(definition_unfolding,[],[f101,f12]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_144,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_176,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_179,plain,
inductive(omega),
inference(cnf_transformation,[],[f51]) ).
tcf(c_216,negated_conjecture,
~ member(null_class,unordered_pair(null_class,null_class)),
inference(cnf_transformation,[],[f150]) ).
tcf(c_313,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(prop_impl_just,[status(thm)],[c_176]) ).
tcf(c_1236,plain,
! [X0: $i] :
( member(null_class,X0)
| ( X0 != omega ) ),
inference(resolution_lifted,[status(thm)],[c_313,c_179]) ).
tcf(c_1237,plain,
member(null_class,omega),
inference(unflattening,[status(thm)],[c_1236]) ).
tcf(c_2637,definition,
iPr_def_10 = unordered_pair(null_class,null_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2638,negated_conjecture,
~ member(null_class,iPr_def_10),
inference(demodulation,[status(thm)],[c_216,c_2637]) ).
tcf(c_3423,plain,
( member(null_class,iPr_def_10)
| ~ member(null_class,universal_class) ),
inference(superposition,[status(thm)],[c_2637,c_149]) ).
tcf(c_3424,plain,
~ member(null_class,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[c_3423,c_2638]) ).
tcf(c_3534,plain,
! [X0: $i] :
( member(null_class,X0)
| ~ subclass(omega,X0) ),
inference(superposition,[status(thm)],[c_1237,c_141]) ).
tcf(c_3580,plain,
member(null_class,universal_class),
inference(superposition,[status(thm)],[c_144,c_3534]) ).
tcf(c_3583,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3580,c_3424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET080-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.45 % CPULimit : 300
% 0.07/15.45 % WCLimit : 300
% 0.07/15.45 % DateTime : Thu Sep 24 09:41:34 UTC 2026
% 0.07/15.45 % CPUTime :
% 0.07/15.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/15.49 Running first-order theorem proving
% 0.07/15.49 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
% 0.36/15.50
% 0.36/15.50 % ======== iProver multi-core TPTP/SMT =========
% 0.36/15.50
% 0.36/15.50 % Detected problem language: tptp
% 0.36/15.51 % Proving...
% 4.10/16.36 % SZS status Started for theBenchmark.p
% 4.10/16.36 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/16.36
% 4.10/16.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.10/16.36
% 4.10/16.36 % ------ iProver source info
% 4.10/16.36
% 4.10/16.36 % git: date: 2026-07-19 20:42:38 +0200
% 4.10/16.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.10/16.36 % git: non_committed_changes: false
% 4.10/16.36
% 4.10/16.36 % ------ Parsing...% successful
% 4.10/16.36
% 4.10/16.36
% 4.10/16.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.10/16.36
% 4.10/16.36 % ------ 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 %
% 4.10/16.36
% 4.10/16.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.10/16.36
% 4.10/16.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.10/16.36 % ------ Proving...
% 4.10/16.36 % ------ Problem Properties
% 4.10/16.36
% 4.10/16.36 %
% 4.10/16.36 % clauses 69
% 4.10/16.36 % conjectures 1
% 4.10/16.36 % EPR 13
% 4.10/16.36 % Horn 61
% 4.10/16.36 % unary 17
% 4.10/16.36 % binary 32
% 4.10/16.36 % lits 147
% 4.10/16.36 % lits eq 21
% 4.10/16.36 % fd_pure 0
% 4.10/16.36 % fd_pseudo 0
% 4.10/16.36 % fd_cond 3
% 4.10/16.36 % fd_pseudo_cond 3
% 4.10/16.36 % AC symbols 0
% 4.10/16.36
% 4.10/16.36 % ------ Schedule dynamic 5 is on
% 4.10/16.36
% 4.10/16.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.10/16.36
% 4.10/16.36
% 4.10/16.36 % ------
% 4.10/16.36 % Current options:
% 4.10/16.36 % ------
% 4.10/16.36
% 4.10/16.36
% 4.10/16.36 %
% 4.10/16.36
% 4.10/16.36 % ------ Proving...
% 4.10/16.36 %
% 4.10/16.36
% 4.10/16.36 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/16.36
% 4.10/16.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/16.36
% 4.10/16.36
%------------------------------------------------------------------------------