%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA007-1 : 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 : n006.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 12:55:35 PM UTC 2026
% Result : Unsatisfiable 16.28s 3.78s
% Output : CNFRefutation 16.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 37 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1819,axiom,
! [X0,X1] :
( X1 = c_times(c_1,X1,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right1_2) ).
fof(f1820,plain,
! [X0,X1] :
( c_times(c_1,X1,X0) = X1
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(reorient_equations,[],[f1819]) ).
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
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(f3364,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3365,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2833,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[],[f3364]) ).
tcf(c_2834,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f3365]) ).
tcf(c_2845,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1820]) ).
tcf(c_3529,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3037]) ).
tcf(c_3537,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[],[f2262]) ).
tcf(c_5349,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3529]) ).
tcf(c_5350,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(renaming,[status(thm)],[c_5349]) ).
tcf(c_7703,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_2845]) ).
tcf(c_46436,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2834,c_7703]) ).
tcf(c_46437,plain,
! [X0: $i] : c_times(c_1,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_46436]) ).
tcf(c_46515,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_2834,c_5350]) ).
tcf(c_46516,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_46515]) ).
tcf(c_55055,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3537]) ).
tcf(c_64920,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_55055,c_46516]) ).
tcf(c_64921,plain,
! [X0: $i] : c_lessequals(X0,X0,t_b),
inference(unflattening,[status(thm)],[c_64920]) ).
tcf(c_99586,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(superposition,[status(thm)],[c_46437,c_2833]) ).
tcf(c_99595,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_99586,c_64921]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 05:44:01 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 Running first-order theorem proving
% 0.11/0.38 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
% 0.11/0.39
% 0.11/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.39
% 0.11/0.39 % Detected problem language: tptp
% 0.11/0.40 % Proving...
% 16.28/3.78 % SZS status Started for theBenchmark.p
% 16.28/3.78 % SZS status Unsatisfiable for theBenchmark.p
% 16.28/3.78
% 16.28/3.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.28/3.78
% 16.28/3.78 % ------ iProver source info
% 16.28/3.78
% 16.28/3.78 % git: date: 2026-07-19 20:42:38 +0200
% 16.28/3.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.28/3.78 % git: non_committed_changes: false
% 16.28/3.78
% 16.28/3.78 % ------ Parsing...% successful
% 16.28/3.78
% 16.28/3.78
% 16.28/3.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.28/3.78
% 16.28/3.78 % ------ 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 %
% 16.28/3.78
% 16.28/3.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.28/3.78
% 16.28/3.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.28/3.78 % ------ Proving...
% 16.28/3.78 % ------ Problem Properties
% 16.28/3.78
% 16.28/3.78 %
% 16.28/3.78 % clauses 945
% 16.28/3.78 % conjectures 1
% 16.28/3.78 % EPR 181
% 16.28/3.78 % Horn 847
% 16.28/3.78 % unary 264
% 16.28/3.78 % binary 477
% 16.28/3.78 % lits 1867
% 16.28/3.78 % lits eq 509
% 16.28/3.78 % fd_pure 0
% 16.28/3.78 % fd_pseudo 0
% 16.28/3.78 % fd_cond 55
% 16.28/3.78 % fd_pseudo_cond 38
% 16.28/3.78 % AC symbols 0
% 16.28/3.78
% 16.28/3.78 % ------ Schedule dynamic 5 is on
% 16.28/3.78
% 16.28/3.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.28/3.78
% 16.28/3.78
% 16.28/3.78 % ------
% 16.28/3.78 % Current options:
% 16.28/3.78 % ------
% 16.28/3.78
% 16.28/3.78
% 16.28/3.78 %
% 16.28/3.78
% 16.28/3.78 % ------ Proving...
% 16.28/3.78 %
% 16.28/3.78
% 16.28/3.78 % SZS status Unsatisfiable for theBenchmark.p
% 16.28/3.78
% 16.28/3.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.28/3.78
% 16.28/3.78
%------------------------------------------------------------------------------