%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA044-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 28.52s 10.78s
% Output : CNFRefutation 28.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 62 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,axiom,
! [X0,X1] :
( c_HOL_Oabs(X1,X0) = X1
| ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f3033,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f3044,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3362,axiom,
! [X2,X0,X1] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f3365,negated_conjecture,
! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3366,negated_conjecture,
! [X0] : c_lessequals(c_0,v_h(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3368,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3369,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2837,negated_conjecture,
! [X0: $i,X1: $i] : c_lessequals(c_0,v_l(X0,X1),t_b),
inference(cnf_transformation,[],[f3365]) ).
tcf(c_2838,negated_conjecture,
! [X0: $i] : c_lessequals(c_0,v_h(X0),t_b),
inference(cnf_transformation,[],[f3366]) ).
tcf(c_2840,negated_conjecture,
c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(cnf_transformation,[],[f3368]) ).
tcf(c_2841,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3369]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(X0,X1) = X0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_3014,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3044]) ).
tcf(c_3919,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X0,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f3362]) ).
tcf(c_3932,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3033]) ).
tcf(c_5227,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(prop_impl_just,[status(thm)],[c_3932]) ).
tcf(c_5228,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5227]) ).
tcf(c_6629,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(prop_impl_just,[status(thm)],[c_3014]) ).
tcf(c_6630,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_6629]) ).
tcf(c_47362,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2841,c_6630]) ).
tcf(c_47363,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_47362]) ).
tcf(c_47377,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2841,c_5228]) ).
tcf(c_47378,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(unflattening,[status(thm)],[c_47377]) ).
tcf(c_51128,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_3919,c_47378]) ).
tcf(c_51129,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(unflattening,[status(thm)],[c_51128]) ).
tcf(c_114259,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(c_times(X1,X0,t_b),t_b) = c_times(X1,X0,t_b) )
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[status(thm)],[c_51129,c_2890]) ).
tcf(c_114326,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(c_times(X1,X0,t_b),t_b) = c_times(X1,X0,t_b) )
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114259,c_47363]) ).
tcf(c_115265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Oabs(c_times(v_l(X1,X2),X0,t_b),t_b) = c_times(v_l(X1,X2),X0,t_b) )
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[status(thm)],[c_2837,c_114326]) ).
tcf(c_116000,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b) = c_times(v_l(X0,X1),v_h(X2),t_b),
inference(superposition,[status(thm)],[c_2838,c_115265]) ).
tcf(c_116019,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2840,c_116000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA044-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n008.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 05:52:03 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 28.52/10.78 % SZS status Started for theBenchmark.p
% 28.52/10.78 % SZS status Unsatisfiable for theBenchmark.p
% 28.52/10.78
% 28.52/10.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 28.52/10.78
% 28.52/10.78 % ------ iProver source info
% 28.52/10.78
% 28.52/10.78 % git: date: 2026-07-19 20:42:38 +0200
% 28.52/10.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 28.52/10.78 % git: non_committed_changes: false
% 28.52/10.78
% 28.52/10.78 % ------ Parsing...% successful
% 28.52/10.78
% 28.52/10.78
% 28.52/10.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 28.52/10.78
% 28.52/10.78 % ------ Preprocessing... sup_sim: 77 sf_s rm: 61 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 47 sf_s rm: 40 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 40 0s sf_e pe_s pe_e %
% 28.52/10.78
% 28.52/10.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 28.52/10.78
% 28.52/10.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.52/10.78 % ------ Proving...
% 28.52/10.78 % ------ Problem Properties
% 28.52/10.78
% 28.52/10.78 %
% 28.52/10.78 % clauses 951
% 28.52/10.78 % conjectures 4
% 28.52/10.78 % EPR 181
% 28.52/10.78 % Horn 853
% 28.52/10.78 % unary 267
% 28.52/10.78 % binary 477
% 28.52/10.78 % lits 1880
% 28.52/10.78 % lits eq 510
% 28.52/10.78 % fd_pure 0
% 28.52/10.78 % fd_pseudo 0
% 28.52/10.78 % fd_cond 55
% 28.52/10.78 % fd_pseudo_cond 38
% 28.52/10.78 % AC symbols 0
% 28.52/10.78
% 28.52/10.78 % ------ Schedule dynamic 5 is on
% 28.52/10.78
% 28.52/10.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.52/10.78
% 28.52/10.78
% 28.52/10.78 % ------
% 28.52/10.78 % Current options:
% 28.52/10.78 % ------
% 28.52/10.78
% 28.52/10.78
% 28.52/10.78 %
% 28.52/10.78
% 28.52/10.78 % ------ Proving...
% 28.52/10.78 %
% 28.52/10.78
% 28.52/10.78 % SZS status Unsatisfiable for theBenchmark.p
% 28.52/10.78
% 28.52/10.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.52/10.78
% 28.52/10.78
%------------------------------------------------------------------------------