%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 12:54:07 PM UTC 2026
% Result : Unsatisfiable 3.59s 6.18s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 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 : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f642,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f706,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f707,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f708,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f709,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1187,plain,
! [X0: $i] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_1238,plain,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f706]) ).
tcf(c_1239,plain,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f707]) ).
tcf(c_1240,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f708]) ).
tcf(c_1241,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f709]) ).
tcf(c_5172,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(global_subsumption_just,[status(thm)],[c_1187,c_1241,c_1187]) ).
tcf(c_5173,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_5172]) ).
tcf(c_5187,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_1238,c_5173]) ).
tcf(c_5188,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5187,c_1239,c_1240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n019.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Fri Sep 25 05:29:41 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.40 Running first-order theorem proving
% 0.12/5.40 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
% 0.12/5.41
% 0.12/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.41
% 0.12/5.41 % Detected problem language: tptp
% 0.12/5.42 % Proving...
% 3.59/6.18 % SZS status Started for theBenchmark.p
% 3.59/6.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/6.18
% 3.59/6.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.59/6.18
% 3.59/6.18 % ------ iProver source info
% 3.59/6.18
% 3.59/6.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.59/6.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.59/6.18 % git: non_committed_changes: false
% 3.59/6.18
% 3.59/6.18 % ------ Parsing...% successful
% 3.59/6.18
% 3.59/6.18
% 3.59/6.18 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.59/6.18 % ------ Proving...
% 3.59/6.18 % ------ Problem Properties
% 3.59/6.18
% 3.59/6.18 %
% 3.59/6.18 % clauses 624
% 3.59/6.18 % conjectures 1
% 3.59/6.18 % EPR 104
% 3.59/6.18 % Horn 498
% 3.59/6.18 % unary 76
% 3.59/6.18 % binary 134
% 3.59/6.18 % lits 2008
% 3.59/6.18 % lits eq 325
% 3.59/6.18 % fd_pure 0
% 3.59/6.18 % fd_pseudo 0
% 3.59/6.18 % fd_cond 6
% 3.59/6.18 % fd_pseudo_cond 79
% 3.59/6.18 % AC symbols 0
% 3.59/6.18
% 3.59/6.18 % ------ Input Options Time Limit: Unbounded
% 3.59/6.18
% 3.59/6.18
% 3.59/6.18 % ------
% 3.59/6.18 % Current options:
% 3.59/6.18 % ------
% 3.59/6.18
% 3.59/6.18
% 3.59/6.18 %
% 3.59/6.18
% 3.59/6.18 % ------ Proving...
% 3.59/6.18 %
% 3.59/6.18
% 3.59/6.18 % ------ Proving...
% 3.59/6.18 %
% 3.59/6.18
% 3.59/6.18 % ------ Proving...
% 3.59/6.18 %
% 3.59/6.18
% 3.59/6.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/6.18
% 3.59/6.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/6.18
% 3.59/6.18
%------------------------------------------------------------------------------