%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV598-1 : 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 : n004.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 03:23:52 PM UTC 2026
% Result : Unsatisfiable 19.04s 4.25s
% Output : CNFRefutation 19.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 55 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f618,axiom,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
fof(f1538,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1539,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1540,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f1541,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x) ),
inference(reorient_equations,[],[f1540]) ).
fof(f1542,axiom,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f1543,plain,
( c_Transcendental_Opi != v_x
| c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(v_x) ),
inference(reorient_equations,[],[f1542]) ).
fof(f1544,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f1545,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x) ),
inference(reorient_equations,[],[f1544]) ).
fof(f1546,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1547,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x),
inference(reorient_equations,[],[f1546]) ).
fof(f1548,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1549,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Ocos(v_x),
inference(reorient_equations,[],[f1548]) ).
fof(f1616,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
tcf(c_1480,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ( X0 = X1 )
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f618]) ).
tcf(c_2532,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1538]) ).
tcf(c_2533,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1539]) ).
tcf(c_2534,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x) ) ),
inference(cnf_transformation,[],[f1541]) ).
tcf(c_2535,negated_conjecture,
( ( c_Transcendental_Opi != v_x )
| ( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(v_x) ) ),
inference(cnf_transformation,[],[f1543]) ).
tcf(c_2536,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x) ) ),
inference(cnf_transformation,[],[f1545]) ).
tcf(c_2537,negated_conjecture,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x),
inference(cnf_transformation,[],[f1547]) ).
tcf(c_2538,negated_conjecture,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Ocos(v_x),
inference(cnf_transformation,[],[f1549]) ).
tcf(c_2605,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1616]) ).
tcf(c_5276,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ( c_Transcendental_Opi = v_x )
| ~ c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_1480]) ).
tcf(c_9016,plain,
( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_1887]) ).
tcf(c_9017,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9016,c_5276,c_2534,c_2536,c_2535,c_2532,c_2537,c_2538,c_2533,c_2605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 20:40:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 19.04/4.25 % SZS status Started for theBenchmark.p
% 19.04/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 19.04/4.25
% 19.04/4.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 19.04/4.25
% 19.04/4.25 % ------ iProver source info
% 19.04/4.25
% 19.04/4.25 % git: date: 2026-07-19 20:42:38 +0200
% 19.04/4.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 19.04/4.25 % git: non_committed_changes: false
% 19.04/4.25
% 19.04/4.25 % ------ Parsing...% successful
% 19.04/4.25
% 19.04/4.25
% 19.04/4.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 19.04/4.25
% 19.04/4.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 19.04/4.25
% 19.04/4.25 % ------ Preprocessing...%
% 19.04/4.25
% 19.04/4.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.04/4.25 % ------ Proving...
% 19.04/4.25 % ------ Problem Properties
% 19.04/4.25
% 19.04/4.25 %
% 19.04/4.25 % clauses 1145
% 19.04/4.25 % conjectures 39
% 19.04/4.25 % EPR 148
% 19.04/4.25 % Horn 1000
% 19.04/4.25 % unary 217
% 19.04/4.25 % binary 373
% 19.04/4.25 % lits 3065
% 19.04/4.25 % lits eq 672
% 19.04/4.25 % fd_pure 0
% 19.04/4.25 % fd_pseudo 0
% 19.04/4.25 % fd_cond 29
% 19.04/4.25 % fd_pseudo_cond 103
% 19.04/4.25 % AC symbols 0
% 19.04/4.25
% 19.04/4.25 % ------ Input Options Time Limit: Unbounded
% 19.04/4.25
% 19.04/4.25
% 19.04/4.25 % ------
% 19.04/4.25 % Current options:
% 19.04/4.25 % ------
% 19.04/4.25
% 19.04/4.25
% 19.04/4.25 %
% 19.04/4.25
% 19.04/4.25 % ------ Proving...
% 19.04/4.25 %
% 19.04/4.25
% 19.04/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 19.04/4.25
% 19.04/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.04/4.25
% 19.04/4.25
%------------------------------------------------------------------------------