TSTP Solution File: ANA034-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA034-2 : 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 17:18:10 EDT 2023
% Result : Unsatisfiable 2.47s 1.09s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 41 ( 13 unt; 0 nHn; 33 RR)
% Number of literals : 99 ( 14 equ; 62 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 58 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X4,X2)
| ~ c_lessequals(c_0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_times(X0,X3,X2),c_times(X1,X4,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__mono_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(X0,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(c_52,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c_53,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_54,negated_conjecture,
c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_55,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_56,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_57,negated_conjecture,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_58,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_59,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_60,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
cnf(c_61,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(c_62,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(c_63,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_64,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_67,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_195,plain,
( X0 != c_0
| X1 != v_c
| X2 != t_b
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_54]) ).
cnf(c_196,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,v_c,t_b) ),
inference(unflattening,[status(thm)],[c_195]) ).
cnf(c_197,plain,
c_lessequals(c_0,v_c,t_b),
inference(global_subsumption_just,[status(thm)],[c_196,c_59,c_64,c_67,c_196]) ).
cnf(c_203,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_63,c_53]) ).
cnf(c_204,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(unflattening,[status(thm)],[c_203]) ).
cnf(c_214,plain,
( X0 != t_b
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_204,c_59]) ).
cnf(c_215,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unflattening,[status(thm)],[c_214]) ).
cnf(c_220,plain,
( X0 != t_b
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_59]) ).
cnf(c_221,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unflattening,[status(thm)],[c_220]) ).
cnf(c_225,plain,
( X0 != t_b
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(resolution_lifted,[status(thm)],[c_61,c_59]) ).
cnf(c_226,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(unflattening,[status(thm)],[c_225]) ).
cnf(c_230,plain,
( X0 != t_b
| 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_49,c_59]) ).
cnf(c_231,plain,
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_230]) ).
cnf(c_240,plain,
( X0 != t_b
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(c_0,X2,X0)
| c_lessequals(c_0,c_times(X1,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_226]) ).
cnf(c_241,plain,
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(c_0,X1,t_b)
| c_lessequals(c_0,c_times(X0,X1,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_240]) ).
cnf(c_255,plain,
( X0 != t_b
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X4,X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| c_lessequals(c_times(X1,X3,X0),c_times(X2,X4,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_221]) ).
cnf(c_256,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X3,t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(c_times(X0,X2,t_b),c_times(X1,X3,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_255]) ).
cnf(c_527,plain,
( ~ c_lessequals(X0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| c_lessequals(c_times(X0,X1,t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_57,c_256]) ).
cnf(c_593,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_231,c_527]) ).
cnf(c_594,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_593,c_215]) ).
cnf(c_1194,plain,
( ~ c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_594,c_58]) ).
cnf(c_1195,plain,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_1194,c_56,c_55]) ).
cnf(c_1196,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b)
| ~ c_lessequals(c_0,v_c,t_b) ),
inference(superposition,[status(thm)],[c_241,c_1195]) ).
cnf(c_1197,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1196,c_197,c_215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA034-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 19:05:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.47/1.09 % SZS status Started for theBenchmark.p
% 2.47/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.09
% 2.47/1.09 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.47/1.09
% 2.47/1.09 ------ iProver source info
% 2.47/1.09
% 2.47/1.09 git: date: 2023-05-31 18:12:56 +0000
% 2.47/1.09 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.47/1.09 git: non_committed_changes: false
% 2.47/1.09 git: last_make_outside_of_git: false
% 2.47/1.09
% 2.47/1.09 ------ Parsing...successful
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09 ------ 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: 3 0s sf_e pe_s pe_e
% 2.47/1.09
% 2.47/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.47/1.09
% 2.47/1.09 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.47/1.09 ------ Proving...
% 2.47/1.09 ------ Problem Properties
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09 clauses 9
% 2.47/1.09 conjectures 4
% 2.47/1.09 EPR 1
% 2.47/1.09 Horn 9
% 2.47/1.09 unary 7
% 2.47/1.09 binary 0
% 2.47/1.09 lits 15
% 2.47/1.09 lits eq 2
% 2.47/1.09 fd_pure 0
% 2.47/1.09 fd_pseudo 0
% 2.47/1.09 fd_cond 0
% 2.47/1.09 fd_pseudo_cond 0
% 2.47/1.09 AC symbols 0
% 2.47/1.09
% 2.47/1.09 ------ Schedule dynamic 5 is on
% 2.47/1.09
% 2.47/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09 ------
% 2.47/1.09 Current options:
% 2.47/1.09 ------
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09 ------ Proving...
% 2.47/1.09
% 2.47/1.09
% 2.47/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.09
% 2.47/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.09
% 2.47/1.10
%------------------------------------------------------------------------------