%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM228-1 : 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 : n007.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 02:23:31 PM UTC 2026
% Result : Unsatisfiable 3.34s 6.20s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% 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(f163,axiom,
! [X0,X1] :
( function(X1)
| ~ member(X0,recursion_equation_functions(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',recursion_equation_functions1) ).
fof(f176,negated_conjecture,
~ function(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1) ).
fof(f177,negated_conjecture,
recursion_equation_functions(z) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2) ).
fof(f178,plain,
null_class != recursion_equation_functions(z),
inference(reorient_equations,[],[f177]) ).
tcf(c_261,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( function(X1)
| ~ member(X0,recursion_equation_functions(X1)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_344,negated_conjecture,
~ function(z),
inference(cnf_transformation,[],[f176]) ).
tcf(c_345,negated_conjecture,
recursion_equation_functions(z) != null_class,
inference(cnf_transformation,[],[f178]) ).
tcf(c_3481,plain,
! [X0: $i] :
( function(z)
| ~ member(X0,recursion_equation_functions(z)) ),
inference(instantiation,[status(thm)],[c_334]) ).
tcf(c_3503,plain,
( member(regular(recursion_equation_functions(z)),recursion_equation_functions(z))
| ( recursion_equation_functions(z) = null_class ) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_4636,plain,
( function(z)
| ~ member(regular(recursion_equation_functions(z)),recursion_equation_functions(z)) ),
inference(instantiation,[status(thm)],[c_3481]) ).
tcf(c_4637,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4636,c_3503,c_345,c_344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM228-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 03:14:44 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 3.34/6.20 % SZS status Started for theBenchmark.p
% 3.34/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.34/6.20
% 3.34/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.34/6.20
% 3.34/6.20 % ------ iProver source info
% 3.34/6.20
% 3.34/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.34/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.34/6.20 % git: non_committed_changes: false
% 3.34/6.20
% 3.34/6.20 % ------ Parsing...% successful
% 3.34/6.20
% 3.34/6.20
% 3.34/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.34/6.20
% 3.34/6.20 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 pe_s pe_e %
% 3.34/6.20
% 3.34/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 2 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 3.34/6.20
% 3.34/6.20 % ------ Preprocessing...
% 3.34/6.20 % ------ Proving...
% 3.34/6.20 % ------ Problem Properties
% 3.34/6.20
% 3.34/6.20 %
% 3.34/6.20 % clauses 136
% 3.34/6.20 % conjectures 2
% 3.34/6.20 % EPR 22
% 3.34/6.20 % Horn 122
% 3.34/6.20 % unary 27
% 3.34/6.20 % binary 77
% 3.34/6.20 % lits 290
% 3.34/6.20 % lits eq 44
% 3.34/6.20 % fd_pure 0
% 3.34/6.20 % fd_pseudo 0
% 3.34/6.20 % fd_cond 5
% 3.34/6.20 % fd_pseudo_cond 10
% 3.34/6.20 % AC symbols 0
% 3.34/6.20
% 3.34/6.20 % ------ Input Options Time Limit: Unbounded
% 3.34/6.20
% 3.34/6.20
% 3.34/6.20 % ------
% 3.34/6.20 % Current options:
% 3.34/6.20 % ------
% 3.34/6.20
% 3.34/6.20
% 3.34/6.20 %
% 3.34/6.20
% 3.34/6.20 % ------ Proving...
% 3.34/6.20 %
% 3.34/6.20
% 3.34/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.34/6.20
% 3.34/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.34/6.20
% 3.34/6.20
%------------------------------------------------------------------------------