TSTP Solution File: ANA015-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 17:18:01 EDT 2023
% Result : Unsatisfiable 2.89s 1.16s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 9 unt; 0 nHn; 16 RR)
% Number of literals : 76 ( 21 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_50,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(c_51,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(c_52,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(c_53,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_54,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(c_56,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(c_57,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(c_58,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
cnf(c_59,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(c_60,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_166,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_49]) ).
cnf(c_167,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(unflattening,[status(thm)],[c_166]) ).
cnf(c_177,plain,
( X0 != X1
| ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_50]) ).
cnf(c_178,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(unflattening,[status(thm)],[c_177]) ).
cnf(c_188,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) = c_HOL_Oabs(c_times(X2,X3,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_51]) ).
cnf(c_189,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
inference(unflattening,[status(thm)],[c_188]) ).
cnf(c_199,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_56,c_178]) ).
cnf(c_200,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(unflattening,[status(thm)],[c_199]) ).
cnf(c_210,plain,
( X0 != X1
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_52]) ).
cnf(c_211,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
inference(unflattening,[status(thm)],[c_210]) ).
cnf(c_229,plain,
( X0 != t_a
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_200,c_60]) ).
cnf(c_230,plain,
c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(unflattening,[status(thm)],[c_229]) ).
cnf(c_235,plain,
( X0 != t_a
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_189,c_60]) ).
cnf(c_236,plain,
c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(c_times(X0,X1,t_a),t_a),
inference(unflattening,[status(thm)],[c_235]) ).
cnf(c_241,plain,
( X0 != t_a
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_167,c_60]) ).
cnf(c_242,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unflattening,[status(thm)],[c_241]) ).
cnf(c_247,plain,
( X0 != t_a
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_211]) ).
cnf(c_248,plain,
( ~ c_lessequals(X0,X1,t_a)
| ~ c_lessequals(c_0,X2,t_a)
| c_lessequals(c_times(X2,X0,t_a),c_times(X2,X1,t_a),t_a) ),
inference(unflattening,[status(thm)],[c_247]) ).
cnf(c_436,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[status(thm)],[c_230,c_54]) ).
cnf(c_448,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_a),X1,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(X2,t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_a),t_a),c_times(c_HOL_Oabs(X2,t_a),X1,t_a),t_a) ),
inference(superposition,[status(thm)],[c_236,c_248]) ).
cnf(c_454,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_a),X1,t_a)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_a),t_a),c_times(c_HOL_Oabs(X2,t_a),X1,t_a),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_448,c_242]) ).
cnf(c_510,plain,
~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),X0,t_a))),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),X0,t_a))),t_a),t_a),t_a),
inference(superposition,[status(thm)],[c_454,c_436]) ).
cnf(c_1246,plain,
$false,
inference(superposition,[status(thm)],[c_53,c_510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 18:58:06 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.89/1.16 % SZS status Started for theBenchmark.p
% 2.89/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.16
% 2.89/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.89/1.16
% 2.89/1.16 ------ iProver source info
% 2.89/1.16
% 2.89/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.89/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.89/1.16 git: non_committed_changes: false
% 2.89/1.16 git: last_make_outside_of_git: false
% 2.89/1.16
% 2.89/1.16 ------ Parsing...successful
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.89/1.16
% 2.89/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.89/1.16
% 2.89/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.89/1.16 ------ Proving...
% 2.89/1.16 ------ Problem Properties
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16 clauses 6
% 2.89/1.16 conjectures 2
% 2.89/1.16 EPR 0
% 2.89/1.16 Horn 6
% 2.89/1.16 unary 5
% 2.89/1.16 binary 0
% 2.89/1.16 lits 8
% 2.89/1.16 lits eq 2
% 2.89/1.16 fd_pure 0
% 2.89/1.16 fd_pseudo 0
% 2.89/1.16 fd_cond 0
% 2.89/1.16 fd_pseudo_cond 0
% 2.89/1.16 AC symbols 0
% 2.89/1.16
% 2.89/1.16 ------ Schedule dynamic 5 is on
% 2.89/1.16
% 2.89/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16 ------
% 2.89/1.16 Current options:
% 2.89/1.16 ------
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16 ------ Proving...
% 2.89/1.16
% 2.89/1.16
% 2.89/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.16
% 2.89/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/1.16
% 2.89/1.17
%------------------------------------------------------------------------------