%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET061-7 : 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 : n013.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 02:46:18 PM UTC 2026
% Result : Unsatisfiable 4.16s 21.53s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
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(f112,axiom,
! [X0,X1] : ~ member(X0,intersection(complement(X1),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f113,negated_conjecture,
member(z,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).
tcf(c_204,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] : ~ member(X0,intersection(complement(X1),X1)),
inference(cnf_transformation,[],[f112]) ).
tcf(c_238,negated_conjecture,
member(z,null_class),
inference(cnf_transformation,[],[f113]) ).
tcf(c_2850,negated_conjecture,
member(z,null_class),
inference(demodulation,[status(thm)],[c_238]) ).
tcf(c_3707,plain,
! [X0: $i] : intersection(complement(X0),X0) = null_class,
inference(superposition,[status(thm)],[c_204,c_237]) ).
tcf(c_3709,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(demodulation,[status(thm)],[c_237,c_3707]) ).
tcf(c_3710,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2850,c_3709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET061-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/20.61 % Computer : n013.cluster.edu
% 0.11/20.61 % Model : x86_64 x86_64
% 0.11/20.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/20.61 % Memory : 8046.5625MB
% 0.11/20.61 % OS : Linux 6.8.0-71-generic
% 0.11/20.61 % CPULimit : 300
% 0.11/20.61 % WCLimit : 300
% 0.11/20.61 % DateTime : Thu Sep 24 09:29:17 UTC 2026
% 0.11/20.62 % CPUTime :
% 0.11/20.62 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/20.65 Running first-order theorem proving
% 0.11/20.65 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
% 0.11/20.66
% 0.11/20.66 % ======== iProver multi-core TPTP/SMT =========
% 0.11/20.66
% 0.11/20.66 % Detected problem language: tptp
% 0.11/20.67 % Proving...
% 4.16/21.53 % SZS status Started for theBenchmark.p
% 4.16/21.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/21.53
% 4.16/21.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/21.53
% 4.16/21.53 % ------ iProver source info
% 4.16/21.53
% 4.16/21.53 % git: date: 2026-07-19 20:42:38 +0200
% 4.16/21.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/21.53 % git: non_committed_changes: false
% 4.16/21.53
% 4.16/21.53 % ------ Parsing...% successful
% 4.16/21.53
% 4.16/21.53
% 4.16/21.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.16/21.53
% 4.16/21.53 % ------ 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 %
% 4.16/21.53
% 4.16/21.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.16/21.53
% 4.16/21.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.16/21.53 % ------ Proving...
% 4.16/21.53 % ------ Problem Properties
% 4.16/21.53
% 4.16/21.53 %
% 4.16/21.53 % clauses 77
% 4.16/21.53 % conjectures 1
% 4.16/21.53 % EPR 14
% 4.16/21.53 % Horn 67
% 4.16/21.53 % unary 17
% 4.16/21.53 % binary 36
% 4.16/21.53 % lits 167
% 4.16/21.53 % lits eq 23
% 4.16/21.53 % fd_pure 0
% 4.16/21.53 % fd_pseudo 0
% 4.16/21.53 % fd_cond 3
% 4.16/21.53 % fd_pseudo_cond 6
% 4.16/21.53 % AC symbols 0
% 4.16/21.53
% 4.16/21.53 % ------ Schedule dynamic 5 is on
% 4.16/21.53
% 4.16/21.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/21.53
% 4.16/21.53
% 4.16/21.53 % ------
% 4.16/21.53 % Current options:
% 4.16/21.53 % ------
% 4.16/21.53
% 4.16/21.53
% 4.16/21.53 %
% 4.16/21.53
% 4.16/21.53 % ------ Proving...
% 4.16/21.53 %
% 4.16/21.53
% 4.16/21.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/21.53
% 4.16/21.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/21.54
% 4.16/21.54
%------------------------------------------------------------------------------