%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA029-1 : 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 : n019.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 12:55:40 PM UTC 2026
% Result : Unsatisfiable 113.02s 18.60s
% Output : CNFRefutation 113.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 98 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 32 :)
% 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/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1536,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
| ~ c_lessequals(X3,X2,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f3025,axiom,
! [X0] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f3037,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
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(f3386,axiom,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f3388,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X2,X0)
| ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f3389,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,X2,X0)
| ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f3392,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3393,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3394,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2860,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
inference(cnf_transformation,[],[f3392]) ).
tcf(c_2861,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3393]) ).
tcf(c_2862,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3394]) ).
tcf(c_2902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X3,X1,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f1536]) ).
tcf(c_2928,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_3028,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X2,X1,X0)
| c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f3386]) ).
tcf(c_3031,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3025]) ).
tcf(c_3165,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3044]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X1,X2) ),
inference(cnf_transformation,[],[f3389]) ).
tcf(c_3729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X3,X0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f3388]) ).
tcf(c_3732,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3037]) ).
tcf(c_5885,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3031]) ).
tcf(c_5886,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5885]) ).
tcf(c_5925,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3732]) ).
tcf(c_5926,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5925]) ).
tcf(c_7069,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(prop_impl_just,[status(thm)],[c_3165]) ).
tcf(c_7070,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_7069]) ).
tcf(c_44218,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2862,c_7070]) ).
tcf(c_44219,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_44218]) ).
tcf(c_44228,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2862,c_5926]) ).
tcf(c_44229,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_44228]) ).
tcf(c_44243,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2862,c_5886]) ).
tcf(c_44244,plain,
class_Orderings_Olinorder(t_b),
inference(unflattening,[status(thm)],[c_44243]) ).
tcf(c_135181,plain,
( c_less(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(superposition,[status(thm)],[c_3028,c_2860]) ).
tcf(c_135220,plain,
c_less(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_135181,c_44244]) ).
tcf(c_139053,plain,
( c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(superposition,[status(thm)],[c_135220,c_3728]) ).
tcf(c_139075,plain,
c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_139053,c_44229]) ).
tcf(c_217618,plain,
! [X0: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[c_2928]) ).
tcf(c_219139,plain,
( c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_2902]) ).
tcf(c_219768,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X1,X0,t_b)
| ~ c_lessequals(X0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_3729]) ).
tcf(c_220053,plain,
( c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[c_217618]) ).
tcf(c_225562,plain,
! [X0: $i] :
( c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X0,t_b)
| ~ c_lessequals(X0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_219768]) ).
tcf(c_228939,plain,
( c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_225562]) ).
tcf(c_228940,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_228939,c_220053,c_219139,c_139075,c_44244,c_44229,c_44219,c_2861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA029-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 05:48:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 113.02/18.60 % SZS status Started for theBenchmark.p
% 113.02/18.60 % SZS status Unsatisfiable for theBenchmark.p
% 113.02/18.60
% 113.02/18.60 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.02/18.60
% 113.02/18.60 % ------ iProver source info
% 113.02/18.60
% 113.02/18.60 % git: date: 2026-07-19 20:42:38 +0200
% 113.02/18.60 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.02/18.60 % git: non_committed_changes: false
% 113.02/18.60
% 113.02/18.60 % ------ Parsing...% successful
% 113.02/18.60
% 113.02/18.60
% 113.02/18.60 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.02/18.60
% 113.02/18.60 % ------ Preprocessing... sup_sim: 86 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: 39 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 39 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 39 0s sf_e pe_s pe_e %
% 113.02/18.60
% 113.02/18.60 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 113.02/18.60
% 113.02/18.60 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 113.02/18.60 % ------ Proving...
% 113.02/18.60 % ------ Problem Properties
% 113.02/18.60
% 113.02/18.60 %
% 113.02/18.60 % clauses 1135
% 113.02/18.60 % conjectures 4
% 113.02/18.60 % EPR 196
% 113.02/18.60 % Horn 1000
% 113.02/18.60 % unary 344
% 113.02/18.60 % binary 540
% 113.02/18.60 % lits 2247
% 113.02/18.60 % lits eq 680
% 113.02/18.60 % fd_pure 0
% 113.02/18.60 % fd_pseudo 0
% 113.02/18.60 % fd_cond 78
% 113.02/18.60 % fd_pseudo_cond 41
% 113.02/18.60 % AC symbols 0
% 113.02/18.60
% 113.02/18.60 % ------ Schedule dynamic 5 is on
% 113.02/18.60
% 113.02/18.60 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 113.02/18.60
% 113.02/18.60
% 113.02/18.60 % ------
% 113.02/18.60 % Current options:
% 113.02/18.60 % ------
% 113.02/18.60
% 113.02/18.60
% 113.02/18.60 %
% 113.02/18.60
% 113.02/18.60 % ------ Proving...
% 113.02/18.60 %
% 113.02/18.60
% 113.02/18.60 % SZS status Unsatisfiable for theBenchmark.p
% 113.02/18.60
% 113.02/18.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.02/18.60
% 113.02/18.60
%------------------------------------------------------------------------------