TSTP Solution File: ANA009-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:17:59 EDT 2023
% Result : Unsatisfiable 1.60s 1.11s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 32 ( 9 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
cnf(c_50,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).
cnf(c_51,negated_conjecture,
c_lessequals(v_lb(X0),v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_52,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_53,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(c_54,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(c_55,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_110,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(X2,c_uminus(X2,X1),X1) = c_0 ),
inference(resolution_lifted,[status(thm)],[c_54,c_50]) ).
cnf(c_111,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
inference(unflattening,[status(thm)],[c_110]) ).
cnf(c_121,plain,
( X0 != t_b
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
inference(resolution_lifted,[status(thm)],[c_111,c_55]) ).
cnf(c_122,plain,
c_plus(X0,c_uminus(X0,t_b),t_b) = c_0,
inference(unflattening,[status(thm)],[c_121]) ).
cnf(c_127,plain,
( X0 != t_b
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_55]) ).
cnf(c_128,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(unflattening,[status(thm)],[c_127]) ).
cnf(c_134,plain,
( X0 != t_b
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_128]) ).
cnf(c_135,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X0,X2,t_b),c_plus(X1,X2,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_134]) ).
cnf(c_283,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_0,c_plus(X1,c_uminus(X0,t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_122,c_135]) ).
cnf(c_296,plain,
~ c_lessequals(v_lb(v_x),v_f(v_x),t_b),
inference(superposition,[status(thm)],[c_283,c_52]) ).
cnf(c_297,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_296,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n001.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 18:55:29 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.60/1.11 % SZS status Started for theBenchmark.p
% 1.60/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.11
% 1.60/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.60/1.11
% 1.60/1.11 ------ iProver source info
% 1.60/1.11
% 1.60/1.11 git: date: 2023-05-31 18:12:56 +0000
% 1.60/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.60/1.11 git: non_committed_changes: false
% 1.60/1.11 git: last_make_outside_of_git: false
% 1.60/1.11
% 1.60/1.11 ------ Parsing...successful
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11 ------ 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
% 1.60/1.11
% 1.60/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.60/1.11
% 1.60/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.60/1.11 ------ Proving...
% 1.60/1.11 ------ Problem Properties
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11 clauses 4
% 1.60/1.11 conjectures 2
% 1.60/1.11 EPR 0
% 1.60/1.11 Horn 4
% 1.60/1.11 unary 3
% 1.60/1.11 binary 1
% 1.60/1.11 lits 5
% 1.60/1.11 lits eq 1
% 1.60/1.11 fd_pure 0
% 1.60/1.11 fd_pseudo 0
% 1.60/1.11 fd_cond 0
% 1.60/1.11 fd_pseudo_cond 0
% 1.60/1.11 AC symbols 0
% 1.60/1.11
% 1.60/1.11 ------ Schedule dynamic 5 is on
% 1.60/1.11
% 1.60/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11 ------
% 1.60/1.11 Current options:
% 1.60/1.11 ------
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11 ------ Proving...
% 1.60/1.11
% 1.60/1.11
% 1.60/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.11
% 1.60/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.11
% 1.60/1.11
%------------------------------------------------------------------------------