%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA039-1 : 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 12:55:42 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.74s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 87 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1160,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f1162,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(f1169,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(f1487,axiom,
! [X0,X1] :
( c_lessequals(X1,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
fof(f1488,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/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1489,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(f1490,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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f1491,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1494,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1495,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_1467,negated_conjecture,
! [X0: $i] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
inference(cnf_transformation,[],[f1491]) ).
tcf(c_1469,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
inference(cnf_transformation,[],[f1494]) ).
tcf(c_1470,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
inference(cnf_transformation,[],[f1495]) ).
tcf(c_1471,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,[],[f1489]) ).
tcf(c_1479,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,[],[f1490]) ).
tcf(c_1486,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,[],[f1488]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f1487]) ).
tcf(c_1507,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1162]) ).
tcf(c_1534,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1160]) ).
tcf(c_1565,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1169]) ).
tcf(c_10156,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1565,c_1486]) ).
tcf(c_10157,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(unflattening,[status(thm)],[c_10156]) ).
tcf(c_10164,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X2,c_HOL_Oabs(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1565,c_1487]) ).
tcf(c_10165,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,c_HOL_Oabs(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(unflattening,[status(thm)],[c_10164]) ).
tcf(c_10524,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,c_HOL_Oabs(X1,X0),X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_1470,c_10165]) ).
tcf(c_10525,plain,
! [X0: $i] : c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a),
inference(unflattening,[status(thm)],[c_10524]) ).
tcf(c_10530,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_1470,c_10157]) ).
tcf(c_10531,plain,
! [X0: $i] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unflattening,[status(thm)],[c_10530]) ).
tcf(c_10561,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_1470,c_1507]) ).
tcf(c_10562,plain,
class_Orderings_Oorder(t_a),
inference(unflattening,[status(thm)],[c_10561]) ).
tcf(c_10566,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_1470,c_1534]) ).
tcf(c_10567,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(unflattening,[status(thm)],[c_10566]) ).
tcf(c_11454,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_a ) ),
inference(resolution_lifted,[status(thm)],[c_1479,c_10567]) ).
tcf(c_11455,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_times(X0,X2,t_a),c_times(X1,X2,t_a),t_a)
| ~ c_lessequals(c_0,X2,t_a)
| ~ c_lessequals(X0,X1,t_a) ),
inference(unflattening,[status(thm)],[c_11454]) ).
tcf(c_13670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_times(X3,X2,t_a),t_a)
| ~ class_Orderings_Oorder(t_a)
| ~ c_lessequals(c_0,X2,t_a)
| ~ c_lessequals(X1,X3,t_a)
| ~ c_lessequals(X0,c_times(X1,X2,t_a),t_a) ),
inference(superposition,[status(thm)],[c_11455,c_1471]) ).
tcf(c_13707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_times(X3,X2,t_a),t_a)
| ~ c_lessequals(c_0,X2,t_a)
| ~ c_lessequals(X1,X3,t_a)
| ~ c_lessequals(X0,c_times(X1,X2,t_a),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13670,c_10562]) ).
tcf(c_14078,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(X1,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a)
| ~ c_lessequals(v_c,X1,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(X0),t_a),t_a) ),
inference(superposition,[status(thm)],[c_1467,c_13707]) ).
tcf(c_14089,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(X0,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a)
| ~ c_lessequals(v_c,X0,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14078,c_10531]) ).
tcf(c_14113,plain,
~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a),
inference(superposition,[status(thm)],[c_14089,c_1469]) ).
tcf(c_14117,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14113,c_10525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA039-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 05:50:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.12/1.74 % SZS status Started for theBenchmark.p
% 1.12/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.74
% 1.12/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.12/1.74
% 1.12/1.74 % ------ iProver source info
% 1.12/1.74
% 1.12/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 1.12/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.12/1.74 % git: non_committed_changes: false
% 1.12/1.74
% 1.12/1.74 % ------ Parsing...% successful
% 1.12/1.74
% 1.12/1.74
% 1.12/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.12/1.74
% 1.12/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 357 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: 0 sf_s rm: 55 0s sf_e pe_s pe_e %
% 1.12/1.74
% 1.12/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.12/1.74
% 1.12/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.12/1.74 % ------ Proving...
% 1.12/1.74 % ------ Problem Properties
% 1.12/1.74
% 1.12/1.74 %
% 1.12/1.74 % clauses 77
% 1.12/1.74 % conjectures 3
% 1.12/1.74 % EPR 30
% 1.12/1.74 % Horn 74
% 1.12/1.74 % unary 35
% 1.12/1.74 % binary 33
% 1.12/1.74 % lits 131
% 1.12/1.74 % lits eq 15
% 1.12/1.74 % fd_pure 0
% 1.12/1.74 % fd_pseudo 0
% 1.12/1.74 % fd_cond 2
% 1.12/1.74 % fd_pseudo_cond 5
% 1.12/1.74 % AC symbols 0
% 1.12/1.74
% 1.12/1.74 % ------ Schedule dynamic 5 is on
% 1.12/1.74
% 1.12/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.12/1.74
% 1.12/1.74
% 1.12/1.74 % ------
% 1.12/1.74 % Current options:
% 1.12/1.74 % ------
% 1.12/1.74
% 1.12/1.74
% 1.12/1.74 %
% 1.12/1.74
% 1.12/1.74 % ------ Proving...
% 1.12/1.74 %
% 1.12/1.74
% 1.12/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.74
% 1.12/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.74
% 1.12/1.74
%------------------------------------------------------------------------------