%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM180-1 : 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 : n019.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 02:23:27 PM UTC 2026
% Result : Unsatisfiable 6.53s 1.98s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
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(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
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(f155,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
fof(f176,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_limit_ordinals_are_ordinals_1) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_325,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(cnf_transformation,[],[f155]) ).
tcf(c_343,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
inference(cnf_transformation,[],[f176]) ).
tcf(c_4621,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
inference(demodulation,[status(thm)],[c_343]) ).
tcf(c_5934,plain,
! [X0: $i] :
( member(X0,ordinal_numbers)
| ~ member(X0,limit_ordinals) ),
inference(superposition,[status(thm)],[c_325,c_227]) ).
tcf(c_5970,plain,
! [X0: $i] :
( subclass(limit_ordinals,X0)
| member(not_subclass_element(limit_ordinals,X0),ordinal_numbers) ),
inference(superposition,[status(thm)],[c_209,c_5934]) ).
tcf(c_5994,plain,
subclass(limit_ordinals,ordinal_numbers),
inference(superposition,[status(thm)],[c_5970,c_210]) ).
tcf(c_5995,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5994,c_4621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n019.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 03:08:34 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.50 Running first-order theorem proving
% 0.16/0.50 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.52 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 6.53/1.98 % SZS status Started for theBenchmark.p
% 6.53/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 6.53/1.98
% 6.53/1.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.53/1.98
% 6.53/1.98 % ------ iProver source info
% 6.53/1.98
% 6.53/1.98 % git: date: 2026-07-19 20:42:38 +0200
% 6.53/1.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.53/1.98 % git: non_committed_changes: false
% 6.53/1.98
% 6.53/1.98 % ------ Parsing...% successful
% 6.53/1.98
% 6.53/1.98
% 6.53/1.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.53/1.98
% 6.53/1.98 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 6.53/1.98
% 6.53/1.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.53/1.98
% 6.53/1.98 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.53/1.98 % ------ Proving...
% 6.53/1.98 % ------ Problem Properties
% 6.53/1.98
% 6.53/1.98 %
% 6.53/1.98 % clauses 115
% 6.53/1.98 % conjectures 1
% 6.53/1.98 % EPR 15
% 6.53/1.98 % Horn 103
% 6.53/1.98 % unary 26
% 6.53/1.98 % binary 58
% 6.53/1.99 % lits 249
% 6.53/1.99 % lits eq 39
% 6.53/1.99 % fd_pure 0
% 6.53/1.99 % fd_pseudo 0
% 6.53/1.99 % fd_cond 5
% 6.53/1.99 % fd_pseudo_cond 10
% 6.53/1.99 % AC symbols 0
% 6.53/1.99
% 6.53/1.99 % ------ Schedule dynamic 5 is on
% 6.53/1.99
% 6.53/1.99 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.53/1.99
% 6.53/1.99
% 6.53/1.99 % ------
% 6.53/1.99 % Current options:
% 6.53/1.99 % ------
% 6.53/1.99
% 6.53/1.99
% 6.53/1.99 %
% 6.53/1.99
% 6.53/1.99 % ------ Proving...
% 6.53/1.99 %
% 6.53/1.99
% 6.53/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 6.53/1.99
% 6.53/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.53/1.99
% 6.53/1.99
%------------------------------------------------------------------------------