%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA043-1 : 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 : n015.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 40.10s 6.40s
% Output : CNFRefutation 40.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 14 unt; 0 def)
% Number of atoms : 77 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 39 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 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 : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 42 :)
% 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(f1431,axiom,
! [X0,X1] :
( c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__minus__cancel_0) ).
fof(f1432,plain,
! [X0,X1] :
( c_HOL_Oabs(X1,X0) = c_HOL_Oabs(c_uminus(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(reorient_equations,[],[f1431]) ).
fof(f3007,axiom,
! [X0] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f3035,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
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(f3362,axiom,
! [X2,X3,X0,X1] :
( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0)
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_0) ).
fof(f3363,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f3366,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3367,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3368,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2836,negated_conjecture,
! [X0: $i] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3366]) ).
tcf(c_2837,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3367]) ).
tcf(c_2838,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3368]) ).
tcf(c_2889,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) )
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f1432]) ).
tcf(c_2893,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_3011,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3044]) ).
tcf(c_3896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f3363]) ).
tcf(c_3912,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3035]) ).
tcf(c_4398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) )
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(cnf_transformation,[],[f3362]) ).
tcf(c_4400,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3007]) ).
tcf(c_5221,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(prop_impl_just,[status(thm)],[c_4400]) ).
tcf(c_5222,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5221]) ).
tcf(c_5255,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(prop_impl_just,[status(thm)],[c_3912]) ).
tcf(c_5256,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5255]) ).
tcf(c_6625,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(prop_impl_just,[status(thm)],[c_3011]) ).
tcf(c_6626,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_6625]) ).
tcf(c_49741,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2838,c_6626]) ).
tcf(c_49742,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_49741]) ).
tcf(c_49756,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2838,c_5256]) ).
tcf(c_49757,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unflattening,[status(thm)],[c_49756]) ).
tcf(c_49816,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2838,c_5222]) ).
tcf(c_49817,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(unflattening,[status(thm)],[c_49816]) ).
tcf(c_111348,plain,
! [X0: $i] : c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_HOL_Oabs(X0,t_b),
inference(superposition,[status(thm)],[c_49742,c_2889]) ).
tcf(c_111568,plain,
! [X0: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[status(thm)],[c_111348,c_2893]) ).
tcf(c_111570,plain,
! [X0: $i] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_111568,c_49742]) ).
tcf(c_143651,plain,
! [X0: $i,X1: $i,X2: $i] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(superposition,[status(thm)],[c_49817,c_4398]) ).
tcf(c_150781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X3,X0,t_b),c_times(X1,c_times(X3,X2,t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,X3,t_b)
| ~ c_lessequals(X0,c_times(X1,X2,t_b),t_b) ),
inference(superposition,[status(thm)],[c_143651,c_3896]) ).
tcf(c_150945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X3,X0,t_b),c_times(X1,c_times(X3,X2,t_b),t_b),t_b)
| ~ c_lessequals(c_0,X3,t_b)
| ~ c_lessequals(X0,c_times(X1,X2,t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150781,c_49757]) ).
tcf(c_174563,plain,
! [X0: $i] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_150945,c_2837]) ).
tcf(c_174609,plain,
! [X0: $i] : ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_174563,c_111570]) ).
tcf(c_174681,plain,
$false,
inference(superposition,[status(thm)],[c_2836,c_174609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA043-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 05:54:13 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 40.10/6.40 % SZS status Started for theBenchmark.p
% 40.10/6.40 % SZS status Unsatisfiable for theBenchmark.p
% 40.10/6.40
% 40.10/6.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.10/6.40
% 40.10/6.40 % ------ iProver source info
% 40.10/6.40
% 40.10/6.40 % git: date: 2026-07-19 20:42:38 +0200
% 40.10/6.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.10/6.40 % git: non_committed_changes: false
% 40.10/6.40
% 40.10/6.40 % ------ Parsing...% successful
% 40.10/6.40
% 40.10/6.40
% 40.10/6.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.10/6.40
% 40.10/6.40 % ------ 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: 38 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 38 0s sf_e pe_s pe_e %
% 40.10/6.40
% 40.10/6.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 40.10/6.40
% 40.10/6.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 40.10/6.40 % ------ Proving...
% 40.10/6.40 % ------ Problem Properties
% 40.10/6.40
% 40.10/6.40 %
% 40.10/6.40 % clauses 965
% 40.10/6.40 % conjectures 2
% 40.10/6.40 % EPR 199
% 40.10/6.40 % Horn 867
% 40.10/6.40 % unary 271
% 40.10/6.40 % binary 489
% 40.10/6.40 % lits 1902
% 40.10/6.40 % lits eq 510
% 40.10/6.40 % fd_pure 0
% 40.10/6.40 % fd_pseudo 0
% 40.10/6.40 % fd_cond 55
% 40.10/6.40 % fd_pseudo_cond 38
% 40.10/6.40 % AC symbols 0
% 40.10/6.40
% 40.10/6.40 % ------ Schedule dynamic 5 is on
% 40.10/6.40
% 40.10/6.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 40.10/6.40
% 40.10/6.40
% 40.10/6.40 % ------
% 40.10/6.40 % Current options:
% 40.10/6.40 % ------
% 40.10/6.40
% 40.10/6.40
% 40.10/6.40 %
% 40.10/6.40
% 40.10/6.40 % ------ Proving...
% 40.10/6.40 %
% 40.10/6.40
% 40.10/6.40 % SZS status Unsatisfiable for theBenchmark.p
% 40.10/6.40
% 40.10/6.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.10/6.40
% 40.10/6.40
%------------------------------------------------------------------------------