TSTP Solution File: ANA031-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 17:18:09 EDT 2023
% Result : Unsatisfiable 3.73s 1.14s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 73 ( 19 equ; 43 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,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_52,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_Omult__ac__1_0) ).
cnf(c_53,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
cnf(c_54,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_55,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
cnf(c_56,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
cnf(c_57,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_58,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_59,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_156,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_58,c_51]) ).
cnf(c_157,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(unflattening,[status(thm)],[c_156]) ).
cnf(c_167,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(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_52]) ).
cnf(c_168,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(unflattening,[status(thm)],[c_167]) ).
cnf(c_178,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(X2,X3,X1) = c_times(X3,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_53]) ).
cnf(c_179,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
inference(unflattening,[status(thm)],[c_178]) ).
cnf(c_189,plain,
( X0 != X1
| ~ c_lessequals(X2,X3,X0)
| ~ c_lessequals(c_0,X4,X0)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_times(X4,X2,X0),c_times(X4,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).
cnf(c_190,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
inference(unflattening,[status(thm)],[c_189]) ).
cnf(c_208,plain,
( X0 != t_b
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_179,c_59]) ).
cnf(c_209,plain,
c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(unflattening,[status(thm)],[c_208]) ).
cnf(c_214,plain,
( X0 != t_b
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_168,c_59]) ).
cnf(c_215,plain,
c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(unflattening,[status(thm)],[c_214]) ).
cnf(c_220,plain,
( X0 != t_b
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_157,c_59]) ).
cnf(c_221,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unflattening,[status(thm)],[c_220]) ).
cnf(c_226,plain,
( X0 != t_b
| ~ 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_59,c_190]) ).
cnf(c_227,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(c_times(X2,X0,t_b),c_times(X2,X1,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_226]) ).
cnf(c_263,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_g(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),t_b),
inference(demodulation,[status(thm)],[c_50,c_209]) ).
cnf(c_417,plain,
c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X2,X0,t_b),t_b),
inference(superposition,[status(thm)],[c_215,c_209]) ).
cnf(c_424,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(c_times(X0,X2,t_b),c_times(X2,X1,t_b),t_b) ),
inference(superposition,[status(thm)],[c_209,c_227]) ).
cnf(c_539,plain,
( ~ c_lessequals(X0,c_times(X1,X2,t_b),t_b)
| ~ c_lessequals(c_0,X3,t_b)
| c_lessequals(c_times(X0,X3,t_b),c_times(X1,c_times(X2,X3,t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_417,c_424]) ).
cnf(c_2359,plain,
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b) ),
inference(superposition,[status(thm)],[c_539,c_263]) ).
cnf(c_2360,plain,
~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_2359,c_221]) ).
cnf(c_2498,plain,
$false,
inference(superposition,[status(thm)],[c_49,c_2360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 18:49:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.73/1.14 % SZS status Started for theBenchmark.p
% 3.73/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.73/1.14
% 3.73/1.14 ------ iProver source info
% 3.73/1.14
% 3.73/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.73/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.73/1.14 git: non_committed_changes: false
% 3.73/1.14 git: last_make_outside_of_git: false
% 3.73/1.14
% 3.73/1.14 ------ Parsing...successful
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------ 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: 1 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.73/1.14 ------ Proving...
% 3.73/1.14 ------ Problem Properties
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 clauses 6
% 3.73/1.14 conjectures 1
% 3.73/1.14 EPR 0
% 3.73/1.14 Horn 6
% 3.73/1.14 unary 5
% 3.73/1.14 binary 0
% 3.73/1.14 lits 8
% 3.73/1.14 lits eq 2
% 3.73/1.14 fd_pure 0
% 3.73/1.14 fd_pseudo 0
% 3.73/1.14 fd_cond 0
% 3.73/1.14 fd_pseudo_cond 0
% 3.73/1.14 AC symbols 0
% 3.73/1.14
% 3.73/1.14 ------ Schedule dynamic 5 is on
% 3.73/1.14
% 3.73/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------
% 3.73/1.14 Current options:
% 3.73/1.14 ------
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------ Proving...
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.14
% 3.73/1.14
%------------------------------------------------------------------------------