%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA045-2 : 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 : n001.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 12:55:44 PM UTC 2026
% Result : Unsatisfiable 1.54s 1.27s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 20 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3,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/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f4,axiom,
! [X0,X1] :
( X1 = c_times(c_1,X1,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).
fof(f5,plain,
! [X0,X1] :
( c_times(c_1,X1,X0) = X1
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
tcf(c_54,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,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,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_58,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_59,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| ( c_0 != c_0 )
| ( X2 != t_b )
| ( c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) != c_HOL_Oabs(X1,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ( c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) != c_HOL_Oabs(X1,t_b) ) ),
inference(unflattening,[status(thm)],[c_97]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) != c_HOL_Oabs(X1,t_b),
inference(global_subsumption_just,[status(thm)],[c_98,c_55,c_59,c_98]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( ( c_times(c_1,X1,X0) = X1 )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).
tcf(c_108,plain,
! [X0: $i] : c_times(c_1,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_107]) ).
tcf(c_123,plain,
! [X0: $i] : c_times(c_1,X0,t_b) = X0,
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] : c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) != c_HOL_Oabs(X1,t_b),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_164,plain,
! [X0: $i] : c_HOL_Oabs(v_g(v_x(c_1)),t_b) != c_HOL_Oabs(X0,t_b),
inference(superposition,[status(thm)],[c_123,c_124]) ).
tcf(c_166,plain,
$false,
inference(equality_resolution,[status(thm)],[c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 05:57:09 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.54/1.27 % SZS status Started for theBenchmark.p
% 1.54/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.27
% 1.54/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/1.27
% 1.54/1.27 % ------ iProver source info
% 1.54/1.27
% 1.54/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/1.27 % git: non_committed_changes: false
% 1.54/1.27
% 1.54/1.27 % ------ Parsing...% successful
% 1.54/1.27
% 1.54/1.27
% 1.54/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.54/1.27
% 1.54/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 1.54/1.27
% 1.54/1.27 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 1.54/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.54/1.27
% 1.54/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.54/1.27 % ------ Proving...
% 1.54/1.27 % ------ Problem Properties
% 1.54/1.27
% 1.54/1.27 %
% 1.54/1.27 % clauses 2
% 1.54/1.27 % conjectures 0
% 1.54/1.27 % EPR 0
% 1.54/1.27 % Horn 2
% 1.54/1.27 % unary 2
% 1.54/1.27 % binary 0
% 1.54/1.27 % lits 2
% 1.54/1.27 % lits eq 2
% 1.54/1.27 % fd_pure 0
% 1.54/1.27 % fd_pseudo 0
% 1.54/1.27 % fd_cond 0
% 1.54/1.27 % fd_pseudo_cond 0
% 1.54/1.27 % AC symbols 0
% 1.54/1.27
% 1.54/1.27 % ------ Schedule UEQ
% 1.54/1.27
% 1.54/1.27 % ------ Option_UEQ Time Limit: 10.
% 1.54/1.27
% 1.54/1.27
% 1.54/1.27 % ------
% 1.54/1.27 % Current options:
% 1.54/1.27 % ------
% 1.54/1.27
% 1.54/1.27
% 1.54/1.27 %
% 1.54/1.27
% 1.54/1.27 % ------ Proving...
% 1.54/1.27 %
% 1.54/1.27
% 1.54/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.27
% 1.54/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.27
% 1.54/1.27
%------------------------------------------------------------------------------