%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV675-1 : 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 : n011.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 03:23:59 PM UTC 2026
% Result : Unsatisfiable 3.84s 1.74s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1105,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr0__conv__Suc_1) ).
fof(f1179,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__eq_0) ).
fof(f1220,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_1) ).
fof(f1569,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_2124,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
inference(cnf_transformation,[],[f1105]) ).
tcf(c_2169,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
inference(cnf_transformation,[],[f1179]) ).
tcf(c_2203,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
inference(cnf_transformation,[],[f1220]) ).
tcf(c_2421,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf_transformation,[],[f1569]) ).
tcf(c_2898,plain,
c_HOL_Oord__class_Oless(v_y,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_2421,c_2169]) ).
tcf(c_2984,plain,
! [X0: $i] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_2124,c_2203]) ).
tcf(c_7880,plain,
$false,
inference(superposition,[status(thm)],[c_2898,c_2984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 20:52:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.84/1.74 % SZS status Started for theBenchmark.p
% 3.84/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.74
% 3.84/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.84/1.74
% 3.84/1.74 % ------ iProver source info
% 3.84/1.74
% 3.84/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 3.84/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.84/1.74 % git: non_committed_changes: false
% 3.84/1.74
% 3.84/1.74 % ------ Parsing...% successful
% 3.84/1.74
% 3.84/1.74
% 3.84/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.84/1.74 % ------ Proving...
% 3.84/1.74 % ------ Problem Properties
% 3.84/1.74
% 3.84/1.74 %
% 3.84/1.74 % clauses 1107
% 3.84/1.74 % conjectures 3
% 3.84/1.74 % EPR 199
% 3.84/1.74 % Horn 939
% 3.84/1.74 % unary 226
% 3.84/1.74 % binary 362
% 3.84/1.74 % lits 2806
% 3.84/1.74 % lits eq 618
% 3.84/1.74 % fd_pure 0
% 3.84/1.74 % fd_pseudo 0
% 3.84/1.74 % fd_cond 43
% 3.84/1.74 % fd_pseudo_cond 121
% 3.84/1.74 % AC symbols 0
% 3.84/1.74
% 3.84/1.74 % ------ Input Options Time Limit: Unbounded
% 3.84/1.74
% 3.84/1.74
% 3.84/1.74 % ------
% 3.84/1.74 % Current options:
% 3.84/1.74 % ------
% 3.84/1.74
% 3.84/1.74
% 3.84/1.74 %
% 3.84/1.74
% 3.84/1.74 % ------ Proving...
% 3.84/1.74 %
% 3.84/1.74
% 3.84/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.74
% 3.84/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/1.74
% 3.84/1.74
%------------------------------------------------------------------------------