%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET063-7 : 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 : n009.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 02:46:20 PM UTC 2026
% Result : Unsatisfiable 2.26s 1.30s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% 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(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(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f115,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
fof(f116,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
fof(f117,plain,
null_class != x,
inference(reorient_equations,[],[f116]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_207,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_241,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f113]) ).
tcf(c_243,negated_conjecture,
subclass(x,null_class),
inference(cnf_transformation,[],[f115]) ).
tcf(c_244,negated_conjecture,
null_class != x,
inference(cnf_transformation,[],[f117]) ).
tcf(c_2873,negated_conjecture,
null_class != x,
inference(demodulation,[status(thm)],[c_244]) ).
tcf(c_2874,negated_conjecture,
subclass(x,null_class),
inference(demodulation,[status(thm)],[c_243]) ).
tcf(c_3834,plain,
! [X0: $i] :
( member(X0,null_class)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2874,c_155]) ).
tcf(c_3846,plain,
! [X0: $i] : ~ member(X0,x),
inference(forward_subsumption_resolution,[status(thm)],[c_3834,c_241]) ).
tcf(c_3871,plain,
null_class = x,
inference(superposition,[status(thm)],[c_207,c_3846]) ).
tcf(c_3872,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3871,c_2873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 09:31:43 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 2.26/1.30 % SZS status Started for theBenchmark.p
% 2.26/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/1.30
% 2.26/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/1.30
% 2.26/1.30 % ------ iProver source info
% 2.26/1.30
% 2.26/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.26/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/1.30 % git: non_committed_changes: false
% 2.26/1.30
% 2.26/1.30 % ------ Parsing...% successful
% 2.26/1.30
% 2.26/1.30
% 2.26/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.26/1.30
% 2.26/1.30 % ------ 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 %
% 2.26/1.30
% 2.26/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.26/1.30
% 2.26/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.26/1.30 % ------ Proving...
% 2.26/1.30 % ------ Problem Properties
% 2.26/1.30
% 2.26/1.30 %
% 2.26/1.30 % clauses 80
% 2.26/1.30 % conjectures 2
% 2.26/1.30 % EPR 17
% 2.26/1.30 % Horn 70
% 2.26/1.30 % unary 20
% 2.26/1.30 % binary 36
% 2.26/1.30 % lits 170
% 2.26/1.30 % lits eq 24
% 2.26/1.30 % fd_pure 0
% 2.26/1.30 % fd_pseudo 0
% 2.26/1.30 % fd_cond 3
% 2.26/1.30 % fd_pseudo_cond 6
% 2.26/1.30 % AC symbols 0
% 2.26/1.30
% 2.26/1.30 % ------ Schedule dynamic 5 is on
% 2.26/1.30
% 2.26/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/1.30
% 2.26/1.30
% 2.26/1.30 % ------
% 2.26/1.30 % Current options:
% 2.26/1.30 % ------
% 2.26/1.30
% 2.26/1.30
% 2.26/1.30 %
% 2.26/1.30
% 2.26/1.30 % ------ Proving...
% 2.26/1.30 %
% 2.26/1.30
% 2.26/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/1.30
% 2.26/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/1.30
% 2.26/1.30
%------------------------------------------------------------------------------