TSTP Solution File: ANA019-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA019-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 17:18:03 EDT 2023
% Result : Unsatisfiable 88.01s 12.84s
% Output : CNFRefutation 88.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 43 ( 14 unt; 3 nHn; 34 RR)
% Number of literals : 78 ( 16 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_less(c_0,X0,tc_nat)
| c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).
cnf(c_50,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c_51,plain,
( ~ c_lessequals(c_0,X0,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X2,X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(c_54,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_55,negated_conjecture,
c_less(c_0,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_56,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_57,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_58,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_889,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(c_893,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(c_900,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_2147,plain,
( X0 = c_0
| c_less(c_0,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__gr0_0) ).
cnf(c_2234,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_0,X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__eq__0_1) ).
cnf(c_2235,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_2236,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__idempotent_0) ).
cnf(c_4798,plain,
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_893]) ).
cnf(c_4799,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(renaming,[status(thm)],[c_4798]) ).
cnf(c_6190,plain,
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_900]) ).
cnf(c_6191,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(renaming,[status(thm)],[c_6190]) ).
cnf(c_7668,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(prop_impl_just,[status(thm)],[c_889]) ).
cnf(c_56973,plain,
( X0 != t_a
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_6191]) ).
cnf(c_56974,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(unflattening,[status(thm)],[c_56973]) ).
cnf(c_56988,plain,
( X0 != t_a
| class_Orderings_Oorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_4799]) ).
cnf(c_56989,plain,
class_Orderings_Oorder(t_a),
inference(unflattening,[status(thm)],[c_56988]) ).
cnf(c_56993,plain,
( X0 != t_a
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_7668]) ).
cnf(c_56994,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(unflattening,[status(thm)],[c_56993]) ).
cnf(c_60310,plain,
( X0 != t_a
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(c_0,X2,X0)
| c_lessequals(c_0,c_times(X2,X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56994]) ).
cnf(c_60311,plain,
( ~ c_lessequals(c_0,X0,t_a)
| ~ c_lessequals(c_0,X1,t_a)
| c_lessequals(c_0,c_times(X1,X0,t_a),t_a) ),
inference(unflattening,[status(thm)],[c_60310]) ).
cnf(c_167325,plain,
c_HOL_Oabs(c_0,t_a) = c_0,
inference(superposition,[status(thm)],[c_56974,c_2234]) ).
cnf(c_170191,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_170231,plain,
c_lessequals(c_0,v_x,t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_170191,c_56989]) ).
cnf(c_175342,plain,
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| X0 = c_0 ),
inference(superposition,[status(thm)],[c_2147,c_49]) ).
cnf(c_178099,plain,
c_HOL_Oabs(c_HOL_Oabs(X0,t_a),t_a) = c_HOL_Oabs(X0,t_a),
inference(superposition,[status(thm)],[c_56974,c_2236]) ).
cnf(c_178120,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a) ),
inference(superposition,[status(thm)],[c_178099,c_2235]) ).
cnf(c_178121,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_178120,c_56974]) ).
cnf(c_369037,plain,
( X0 = c_0
| c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a) ),
inference(superposition,[status(thm)],[c_175342,c_56]) ).
cnf(c_371474,plain,
( ~ c_less(c_0,v_x,t_a)
| v_xa(v_x) = c_0 ),
inference(superposition,[status(thm)],[c_369037,c_57]) ).
cnf(c_371479,plain,
v_xa(v_x) = c_0,
inference(forward_subsumption_resolution,[status(thm)],[c_371474,c_55]) ).
cnf(c_371519,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_less(c_0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_371479,c_57]) ).
cnf(c_371524,plain,
( ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_less(c_0,v_x,t_a) ),
inference(light_normalisation,[status(thm)],[c_371519,c_54,c_167325]) ).
cnf(c_371525,plain,
~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_371524,c_55]) ).
cnf(c_371798,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_60311,c_371525]) ).
cnf(c_371813,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_371798,c_170231,c_178121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA019-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n026.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 18:52:18 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 88.01/12.84 % SZS status Started for theBenchmark.p
% 88.01/12.84 % SZS status Unsatisfiable for theBenchmark.p
% 88.01/12.84
% 88.01/12.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 88.01/12.84
% 88.01/12.84 ------ iProver source info
% 88.01/12.84
% 88.01/12.84 git: date: 2023-05-31 18:12:56 +0000
% 88.01/12.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 88.01/12.84 git: non_committed_changes: false
% 88.01/12.84 git: last_make_outside_of_git: false
% 88.01/12.84
% 88.01/12.84 ------ Parsing...successful
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84 ------ Preprocessing... sup_sim: 108 sf_s rm: 375 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: 60 sf_s rm: 47 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 47 0s sf_e pe_s pe_e
% 88.01/12.84
% 88.01/12.84 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 88.01/12.84
% 88.01/12.84 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 88.01/12.84 ------ Proving...
% 88.01/12.84 ------ Problem Properties
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84 clauses 1750
% 88.01/12.84 conjectures 4
% 88.01/12.84 EPR 236
% 88.01/12.84 Horn 1541
% 88.01/12.84 unary 622
% 88.01/12.84 binary 753
% 88.01/12.84 lits 3353
% 88.01/12.84 lits eq 1134
% 88.01/12.84 fd_pure 0
% 88.01/12.84 fd_pseudo 0
% 88.01/12.84 fd_cond 108
% 88.01/12.84 fd_pseudo_cond 66
% 88.01/12.84 AC symbols 0
% 88.01/12.84
% 88.01/12.84 ------ Schedule dynamic 5 is on
% 88.01/12.84
% 88.01/12.84 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84 ------
% 88.01/12.84 Current options:
% 88.01/12.84 ------
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84 ------ Proving...
% 88.01/12.84
% 88.01/12.84
% 88.01/12.84 % SZS status Unsatisfiable for theBenchmark.p
% 88.01/12.84
% 88.01/12.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 88.01/12.84
% 88.01/12.84
%------------------------------------------------------------------------------