%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA010-2 : 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 12:55:36 PM UTC 2026
% Result : Unsatisfiable 0.92s 1.27s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 19 unt; 0 def)
% Number of atoms : 72 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 37 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_HOL_Oabs(X1,X0) = X1
| ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f2,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(f3,axiom,
! [X2,X0,X1] :
( c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f4,negated_conjecture,
! [X0] : c_lessequals(c_0,v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0] : c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,negated_conjecture,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f8,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f9,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(X0,X1) = X0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,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,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] : c_lessequals(c_0,v_f(X0),t_b),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] : ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_141,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_66]) ).
tcf(c_142,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_141]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_66]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_146]) ).
tcf(c_154,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_142]) ).
tcf(c_155,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_154]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(X1,X0) = X1 )
| ~ c_lessequals(c_0,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_142]) ).
tcf(c_160,plain,
! [X0: $i] :
( ( c_HOL_Oabs(X0,t_b) = X0 )
| ~ c_lessequals(c_0,X0,t_b) ),
inference(unflattening,[status(thm)],[c_159]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X3,X2,X0)
| ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_155]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X2,X0,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(unflattening,[status(thm)],[c_171]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X2,X0,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( c_HOL_Oabs(X0,t_b) = X0 )
| ~ c_lessequals(c_0,X0,t_b) ),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_222,negated_conjecture,
! [X0: $i] : ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_223,negated_conjecture,
! [X0: $i] : c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_224,negated_conjecture,
! [X0: $i] : c_lessequals(c_0,v_f(X0),t_b),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_357,plain,
! [X0: $i] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[status(thm)],[c_221,c_222]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_times(v_c,v_g(X1),t_b),t_b)
| ~ c_lessequals(X0,v_f(X1),t_b) ),
inference(superposition,[status(thm)],[c_223,c_219]) ).
tcf(c_398,plain,
! [X0: $i] :
( ( c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b) )
| ~ c_lessequals(c_0,v_f(X0),t_b) ),
inference(superposition,[status(thm)],[c_378,c_220]) ).
tcf(c_403,plain,
! [X0: $i] : c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_398,c_224]) ).
tcf(c_409,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(superposition,[status(thm)],[c_403,c_357]) ).
tcf(c_410,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_409,c_223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 05:44:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 0.92/1.27 % SZS status Started for theBenchmark.p
% 0.92/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.92/1.27
% 0.92/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.92/1.27
% 0.92/1.27 % ------ iProver source info
% 0.92/1.27
% 0.92/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 0.92/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.92/1.27 % git: non_committed_changes: false
% 0.92/1.27
% 0.92/1.27 % ------ Parsing...% successful
% 0.92/1.27
% 0.92/1.27
% 0.92/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.92/1.27
% 0.92/1.27 % ------ 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: 2 0s sf_e pe_s pe_e %
% 0.92/1.27
% 0.92/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.92/1.27
% 0.92/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.92/1.27 % ------ Proving...
% 0.92/1.27 % ------ Problem Properties
% 0.92/1.27
% 0.92/1.27 %
% 0.92/1.27 % clauses 6
% 0.92/1.27 % conjectures 3
% 0.92/1.27 % EPR 1
% 0.92/1.27 % Horn 6
% 0.92/1.27 % unary 4
% 0.92/1.27 % binary 1
% 0.92/1.27 % lits 9
% 0.92/1.27 % lits eq 2
% 0.92/1.27 % fd_pure 0
% 0.92/1.27 % fd_pseudo 0
% 0.92/1.27 % fd_cond 0
% 0.92/1.27 % fd_pseudo_cond 0
% 0.92/1.27 % AC symbols 0
% 0.92/1.27
% 0.92/1.27 % ------ Schedule dynamic 5 is on
% 0.92/1.27
% 0.92/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.92/1.27
% 0.92/1.27
% 0.92/1.27 % ------
% 0.92/1.27 % Current options:
% 0.92/1.27 % ------
% 0.92/1.27
% 0.92/1.27
% 0.92/1.27 %
% 0.92/1.27
% 0.92/1.27 % ------ Proving...
% 0.92/1.27 %
% 0.92/1.27
% 0.92/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.92/1.27
% 0.92/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.92/1.27
% 0.92/1.27
%------------------------------------------------------------------------------