%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD056-1 : 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 : n026.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 01:15:49 PM UTC 2026
% Result : Unsatisfiable 2.45s 6.50s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
~ less_or_equal(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_2) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_105,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,negated_conjecture,
~ less_or_equal(a,a),
inference(cnf_transformation,[],[f29]) ).
tcf(c_278,plain,
( less_or_equal(a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_279,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_278,c_106,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD056-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n026.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Fri Sep 25 11:00:16 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 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
% 0.15/5.64
% 0.15/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.64
% 0.15/5.64 % Detected problem language: tptp
% 0.15/5.65 % Proving...
% 2.45/6.50 % SZS status Started for theBenchmark.p
% 2.45/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.45/6.50
% 2.45/6.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.45/6.50
% 2.45/6.50 % ------ iProver source info
% 2.45/6.50
% 2.45/6.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.45/6.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.45/6.50 % git: non_committed_changes: false
% 2.45/6.50
% 2.45/6.50 % ------ Parsing...% successful
% 2.45/6.50
% 2.45/6.50
% 2.45/6.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.45/6.50
% 2.45/6.50 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.45/6.50
% 2.45/6.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.45/6.50 % ------ Proving...
% 2.45/6.50 % ------ Problem Properties
% 2.45/6.50
% 2.45/6.50 %
% 2.45/6.50 % clauses 29
% 2.45/6.50 % conjectures 1
% 2.45/6.50 % EPR 12
% 2.45/6.50 % Horn 26
% 2.45/6.50 % unary 5
% 2.45/6.50 % binary 6
% 2.45/6.50 % lits 75
% 2.45/6.50 % lits eq 0
% 2.45/6.50 % fd_pure 0
% 2.45/6.50 % fd_pseudo 0
% 2.45/6.50 % fd_cond 0
% 2.45/6.50 % fd_pseudo_cond 0
% 2.45/6.50 % AC symbols 0
% 2.45/6.50
% 2.45/6.50 % ------ Schedule dynamic 5 is on
% 2.45/6.50
% 2.45/6.50 % ------ no equalities: superposition off
% 2.45/6.50
% 2.45/6.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.45/6.50
% 2.45/6.50
% 2.45/6.50 % ------
% 2.45/6.50 % Current options:
% 2.45/6.50 % ------
% 2.45/6.50
% 2.45/6.50
% 2.45/6.50 %
% 2.45/6.50
% 2.45/6.50 % ------ Proving...
% 2.45/6.50 %
% 2.45/6.50
% 2.45/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.45/6.50
% 2.45/6.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.45/6.50
% 2.45/6.50
%------------------------------------------------------------------------------