%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:55:43 PM UTC 2026
% Result : Unsatisfiable 24.10s 4.37s
% Output : CNFRefutation 24.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 32 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1478,axiom,
! [X0,X1] :
( c_times(c_1,X1,X0) = X1
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f2725,axiom,
! [X0] :
( class_OrderedGroup_Omonoid__mult(X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).
fof(f2998,axiom,
! [X0] :
( class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_0) ).
fof(f3044,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3364,negated_conjecture,
! [X0] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3365,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_3823,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f1425]) ).
tcf(c_3863,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
inference(cnf_transformation,[],[f1478]) ).
tcf(c_4782,plain,
! [X0: $i] :
( class_OrderedGroup_Omonoid__mult(X0)
| ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
inference(cnf_transformation,[],[f2725]) ).
tcf(c_4959,plain,
! [X0: $i] :
( class_Ring__and__Field_Ocomm__ring__1(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f2998]) ).
tcf(c_5005,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3044]) ).
tcf(c_5300,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3364]) ).
tcf(c_5301,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3365]) ).
tcf(c_7886,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(instantiation,[status(thm)],[c_5005]) ).
tcf(c_11125,plain,
class_Ring__and__Field_Ocomm__ring__1(t_b),
inference(superposition,[status(thm)],[c_5301,c_4959]) ).
tcf(c_11143,plain,
class_OrderedGroup_Omonoid__mult(t_b),
inference(superposition,[status(thm)],[c_11125,c_4782]) ).
tcf(c_14958,plain,
! [X0: $i] : c_times(c_1,X0,t_b) = X0,
inference(superposition,[status(thm)],[c_11143,c_3863]) ).
tcf(c_14983,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),
inference(superposition,[status(thm)],[c_14958,c_5300]) ).
tcf(c_14984,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(superposition,[status(thm)],[c_3823,c_14983]) ).
tcf(c_14985,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14984,c_7886,c_5301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.51 % Computer : n008.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Fri Sep 25 05:52:10 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.51 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.55 Running first-order theorem proving
% 0.08/0.55 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
% 0.15/0.56
% 0.15/0.56 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.56
% 0.15/0.56 % Detected problem language: tptp
% 0.15/0.58 % Proving...
% 24.10/4.37 % SZS status Started for theBenchmark.p
% 24.10/4.37 % SZS status Unsatisfiable for theBenchmark.p
% 24.10/4.37
% 24.10/4.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.10/4.37
% 24.10/4.37 % ------ iProver source info
% 24.10/4.37
% 24.10/4.37 % git: date: 2026-07-19 20:42:38 +0200
% 24.10/4.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.10/4.37 % git: non_committed_changes: false
% 24.10/4.37
% 24.10/4.37 % ------ Parsing...% successful
% 24.10/4.37
% 24.10/4.37
% 24.10/4.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.10/4.37
% 24.10/4.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 81 0s sf_e sup_sim: 0 sf_s rm: 6 0s sf_e %
% 24.10/4.37
% 24.10/4.37 % ------ Preprocessing...%
% 24.10/4.37
% 24.10/4.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.10/4.37 % ------ Proving...
% 24.10/4.37 % ------ Problem Properties
% 24.10/4.37
% 24.10/4.37 %
% 24.10/4.37 % clauses 2327
% 24.10/4.37 % conjectures 66
% 24.10/4.37 % EPR 881
% 24.10/4.37 % Horn 2148
% 24.10/4.37 % unary 601
% 24.10/4.37 % binary 1294
% 24.10/4.37 % lits 4711
% 24.10/4.37 % lits eq 1067
% 24.10/4.37 % fd_pure 0
% 24.10/4.37 % fd_pseudo 0
% 24.10/4.37 % fd_cond 99
% 24.10/4.37 % fd_pseudo_cond 63
% 24.10/4.37 % AC symbols 0
% 24.10/4.37
% 24.10/4.37 % ------ Input Options Time Limit: Unbounded
% 24.10/4.37
% 24.10/4.37
% 24.10/4.37 % ------
% 24.10/4.37 % Current options:
% 24.10/4.37 % ------
% 24.10/4.37
% 24.10/4.37
% 24.10/4.37 %
% 24.10/4.37
% 24.10/4.37 % ------ Proving...
% 24.10/4.37 %
% 24.10/4.37
% 24.10/4.37 % SZS status Unsatisfiable for theBenchmark.p
% 24.10/4.37
% 24.10/4.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.10/4.37
% 24.10/4.37
%------------------------------------------------------------------------------