%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA013-1 : 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 : n005.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 12:55:36 PM UTC 2026
% Result : Unsatisfiable 22.13s 9.78s
% Output : CNFRefutation 22.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2537,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f3047,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f3365,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3366,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[],[f2262]) ).
tcf(c_4596,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(cnf_transformation,[],[f2537]) ).
tcf(c_5009,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3047]) ).
tcf(c_5302,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3365]) ).
tcf(c_5303,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3366]) ).
tcf(c_7895,plain,
( class_OrderedGroup_Olordered__ab__group(t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(instantiation,[status(thm)],[c_5009]) ).
tcf(c_8580,plain,
( c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[c_4337]) ).
tcf(c_8581,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[c_5302]) ).
tcf(c_10022,plain,
( class_Orderings_Oorder(t_b)
| ~ class_OrderedGroup_Olordered__ab__group(t_b) ),
inference(instantiation,[status(thm)],[c_4596]) ).
tcf(c_10026,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10022,c_8581,c_8580,c_7895,c_5303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA013-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n005.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 05:44:37 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 22.13/9.78 % SZS status Started for theBenchmark.p
% 22.13/9.78 % SZS status Unsatisfiable for theBenchmark.p
% 22.13/9.78
% 22.13/9.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.13/9.78
% 22.13/9.78 % ------ iProver source info
% 22.13/9.78
% 22.13/9.78 % git: date: 2026-07-19 20:42:38 +0200
% 22.13/9.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.13/9.78 % git: non_committed_changes: false
% 22.13/9.78
% 22.13/9.78 % ------ Parsing...% successful
% 22.13/9.78
% 22.13/9.78
% 22.13/9.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.13/9.78
% 22.13/9.78 % ------ Preprocessing... sup_sim: 0 sf_s rm: 81 0s sf_e sup_sim: 0 sf_s rm: 6 0s sf_e %
% 22.13/9.78
% 22.13/9.78 % ------ Preprocessing...%
% 22.13/9.78
% 22.13/9.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.13/9.78 % ------ Proving...
% 22.13/9.78 % ------ Problem Properties
% 22.13/9.78
% 22.13/9.78 %
% 22.13/9.78 % clauses 2328
% 22.13/9.78 % conjectures 66
% 22.13/9.78 % EPR 881
% 22.13/9.78 % Horn 2149
% 22.13/9.78 % unary 601
% 22.13/9.78 % binary 1295
% 22.13/9.78 % lits 4713
% 22.13/9.78 % lits eq 1068
% 22.13/9.78 % fd_pure 0
% 22.13/9.78 % fd_pseudo 0
% 22.13/9.78 % fd_cond 99
% 22.13/9.78 % fd_pseudo_cond 63
% 22.13/9.78 % AC symbols 0
% 22.13/9.78
% 22.13/9.78 % ------ Input Options Time Limit: Unbounded
% 22.13/9.78
% 22.13/9.78
% 22.13/9.78 % ------
% 22.13/9.78 % Current options:
% 22.13/9.78 % ------
% 22.13/9.78
% 22.13/9.78
% 22.13/9.78 %
% 22.13/9.78
% 22.13/9.78 % ------ Proving...
% 22.13/9.78 %
% 22.13/9.78
% 22.13/9.78 % SZS status Unsatisfiable for theBenchmark.p
% 22.13/9.78
% 22.13/9.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.13/9.78
% 22.13/9.78
%------------------------------------------------------------------------------