%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 03:24:01 PM UTC 2026
% Result : Unsatisfiable 4.54s 11.34s
% Output : CNFRefutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f891,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).
fof(f915,negated_conjecture,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f916,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_1417,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f891]) ).
tcf(c_1430,negated_conjecture,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
inference(cnf_transformation,[],[f915]) ).
tcf(c_1431,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat),
inference(cnf_transformation,[],[f916]) ).
tcf(c_1628,plain,
~ c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
inference(superposition,[status(thm)],[c_1417,c_1431]) ).
tcf(c_1629,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1430,c_1628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.40 % Computer : n008.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.14/10.40 % CPULimit : 300
% 0.14/10.40 % WCLimit : 300
% 0.14/10.40 % DateTime : Thu Sep 24 20:55:40 UTC 2026
% 0.14/10.40 % CPUTime :
% 0.14/10.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.45 Running first-order theorem proving
% 0.14/10.45 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
% 0.14/10.46
% 0.14/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.46
% 0.14/10.46 % Detected problem language: tptp
% 0.14/10.47 % Proving...
% 4.54/11.34 % SZS status Started for theBenchmark.p
% 4.54/11.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/11.34
% 4.54/11.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.54/11.34
% 4.54/11.34 % ------ iProver source info
% 4.54/11.34
% 4.54/11.34 % git: date: 2026-07-19 20:42:38 +0200
% 4.54/11.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.54/11.34 % git: non_committed_changes: false
% 4.54/11.34
% 4.54/11.34 % ------ Parsing...% successful
% 4.54/11.34
% 4.54/11.34
% 4.54/11.34 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.54/11.34 % ------ Proving...
% 4.54/11.34 % ------ Problem Properties
% 4.54/11.34
% 4.54/11.34 %
% 4.54/11.34 % clauses 614
% 4.54/11.34 % conjectures 2
% 4.54/11.34 % EPR 107
% 4.54/11.34 % Horn 540
% 4.54/11.34 % unary 131
% 4.54/11.34 % binary 215
% 4.54/11.34 % lits 1490
% 4.54/11.34 % lits eq 318
% 4.54/11.34 % fd_pure 0
% 4.54/11.34 % fd_pseudo 0
% 4.54/11.34 % fd_cond 21
% 4.54/11.34 % fd_pseudo_cond 60
% 4.54/11.34 % AC symbols 0
% 4.54/11.34
% 4.54/11.34 % ------ Input Options Time Limit: Unbounded
% 4.54/11.34
% 4.54/11.34
% 4.54/11.34 % ------
% 4.54/11.34 % Current options:
% 4.54/11.34 % ------
% 4.54/11.34
% 4.54/11.34
% 4.54/11.34 %
% 4.54/11.34
% 4.54/11.34 % ------ Proving...
% 4.54/11.34 %
% 4.54/11.34
% 4.54/11.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/11.34
% 4.54/11.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.54/11.34
% 4.54/11.34
%------------------------------------------------------------------------------