%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA037-1 : 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 : n004.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 12:55:42 PM UTC 2026
% Result : Unsatisfiable 131.82s 19.00s
% Output : CNFRefutation 131.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 87 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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 : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3025,axiom,
! [X0] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
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(f3037,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f3365,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).
fof(f3367,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/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f3369,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,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__right__mono_0) ).
fof(f3376,negated_conjecture,
c_lessequals(c_0,v_f(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3378,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3382,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3383,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2853,negated_conjecture,
c_lessequals(c_0,v_f(v_xa),t_b),
inference(cnf_transformation,[],[f3376]) ).
tcf(c_2855,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
inference(cnf_transformation,[],[f3378]) ).
tcf(c_2859,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
inference(cnf_transformation,[],[f3382]) ).
tcf(c_2860,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3383]) ).
tcf(c_2961,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f3365]) ).
tcf(c_3184,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3025]) ).
tcf(c_3461,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,[],[f3367]) ).
tcf(c_3464,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3037]) ).
tcf(c_3808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X0,X3,X2),c_times(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f3369]) ).
tcf(c_3826,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3035]) ).
tcf(c_5728,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_2961]) ).
tcf(c_5756,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3184]) ).
tcf(c_5757,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5756]) ).
tcf(c_5798,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3464]) ).
tcf(c_5799,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5798]) ).
tcf(c_5840,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(prop_impl_just,[status(thm)],[c_3826]) ).
tcf(c_5841,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5840]) ).
tcf(c_37954,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2860,c_5799]) ).
tcf(c_37955,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_37954]) ).
tcf(c_37964,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2860,c_5841]) ).
tcf(c_37965,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unflattening,[status(thm)],[c_37964]) ).
tcf(c_37984,plain,
! [X0: $i] :
( class_Orderings_Olinorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2860,c_5757]) ).
tcf(c_37985,plain,
class_Orderings_Olinorder(t_b),
inference(unflattening,[status(thm)],[c_37984]) ).
tcf(c_47029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(X1,X2,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_3808,c_37965]) ).
tcf(c_47030,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_times(X0,X2,t_b),c_times(X1,X2,t_b),t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(unflattening,[status(thm)],[c_47029]) ).
tcf(c_52747,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_5728,c_37985]) ).
tcf(c_52748,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Orderings_Omax(X0,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_52747]) ).
tcf(c_241890,plain,
! [X0: $i] :
( c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),X0,t_b)
| ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_3461]) ).
tcf(c_244494,plain,
! [X0: $i] : c_lessequals(v_c,c_Orderings_Omax(v_c,X0,t_b),t_b),
inference(instantiation,[status(thm)],[c_52748]) ).
tcf(c_244697,plain,
( c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b)
| ~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_241890]) ).
tcf(c_251065,plain,
( c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)
| ~ c_lessequals(c_0,v_f(v_xa),t_b)
| ~ c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ),
inference(instantiation,[status(thm)],[c_47030]) ).
tcf(c_265391,plain,
c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(instantiation,[status(thm)],[c_244494]) ).
tcf(c_265392,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_265391,c_251065,c_244697,c_37955,c_2859,c_2855,c_2853]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA037-1 : 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 : n004.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 05:49:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 131.82/19.00 % SZS status Started for theBenchmark.p
% 131.82/19.00 % SZS status Unsatisfiable for theBenchmark.p
% 131.82/19.00
% 131.82/19.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 131.82/19.00
% 131.82/19.00 % ------ iProver source info
% 131.82/19.00
% 131.82/19.00 % git: date: 2026-07-19 20:42:38 +0200
% 131.82/19.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 131.82/19.00 % git: non_committed_changes: false
% 131.82/19.00
% 131.82/19.00 % ------ Parsing...% successful
% 131.82/19.00
% 131.82/19.00
% 131.82/19.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 131.82/19.00
% 131.82/19.00 % ------ 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: 44 sf_s rm: 43 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 43 0s sf_e pe_s pe_e %
% 131.82/19.00
% 131.82/19.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 131.82/19.00
% 131.82/19.00 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 131.82/19.00 % ------ Proving...
% 131.82/19.00 % ------ Problem Properties
% 131.82/19.00
% 131.82/19.00 %
% 131.82/19.00 % clauses 1157
% 131.82/19.00 % conjectures 8
% 131.82/19.00 % EPR 152
% 131.82/19.00 % Horn 994
% 131.82/19.00 % unary 354
% 131.82/19.00 % binary 540
% 131.82/19.00 % lits 2322
% 131.82/19.00 % lits eq 650
% 131.82/19.00 % fd_pure 0
% 131.82/19.00 % fd_pseudo 0
% 131.82/19.00 % fd_cond 96
% 131.82/19.00 % fd_pseudo_cond 37
% 131.82/19.00 % AC symbols 0
% 131.82/19.00
% 131.82/19.00 % ------ Schedule dynamic 5 is on
% 131.82/19.00
% 131.82/19.00 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 131.82/19.00
% 131.82/19.00
% 131.82/19.00 % ------
% 131.82/19.00 % Current options:
% 131.82/19.00 % ------
% 131.82/19.00
% 131.82/19.00
% 131.82/19.00 %
% 131.82/19.00
% 131.82/19.00 % ------ Proving...
% 131.82/19.00 % Proof_search_loop: time out after: 9701 full_loop iterations
% 131.82/19.00
% 131.82/19.00 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 131.82/19.00
% 131.82/19.00
% 131.82/19.00 % ------
% 131.82/19.00 % Current options:
% 131.82/19.00 % ------
% 131.82/19.00
% 131.82/19.00
% 131.82/19.00 %
% 131.82/19.00
% 131.82/19.00 % ------ Proving...
% 131.82/19.00 %
% 131.82/19.00
% 131.82/19.00 % SZS status Unsatisfiable for theBenchmark.p
% 131.82/19.00
% 131.82/19.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 131.82/19.00
% 131.82/19.00
%------------------------------------------------------------------------------