TSTP Solution File: NUM066-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM066-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Thu Aug 31 11:28:30 EDT 2023
% Result : Unsatisfiable 3.81s 1.17s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 9 unt; 0 nHn; 22 RR)
% Number of literals : 53 ( 0 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
well_ordering(element_relation,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_1) ).
cnf(c_50,negated_conjecture,
subclass(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_2) ).
cnf(c_51,negated_conjecture,
member(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_3) ).
cnf(c_52,negated_conjecture,
member(v,least(element_relation,u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_4) ).
cnf(c_65,plain,
( ~ well_ordering(X0,X1)
| ~ subclass(X2,X1)
| ~ member(X3,X2)
| member(least(X0,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',well_ordering3) ).
cnf(c_67,plain,
( ~ member(ordered_pair(X0,least(X1,X2)),X1)
| ~ well_ordering(X1,X3)
| ~ subclass(X2,X3)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',well_ordering5) ).
cnf(c_120,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_123,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_135,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_139,plain,
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',element_relation3) ).
cnf(c_6368,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_123,c_120]) ).
cnf(c_6397,plain,
( ~ member(X0,X1)
| ~ subclass(X1,y)
| member(least(element_relation,X1),X1) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
cnf(c_6455,plain,
( ~ subclass(u,y)
| member(least(element_relation,u),u) ),
inference(superposition,[status(thm)],[c_51,c_6397]) ).
cnf(c_6507,plain,
member(least(element_relation,u),u),
inference(global_subsumption_just,[status(thm)],[c_6455,c_50,c_6455]) ).
cnf(c_6510,plain,
member(least(element_relation,u),universal_class),
inference(superposition,[status(thm)],[c_6507,c_6368]) ).
cnf(c_6962,plain,
( ~ member(X0,X1)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| member(ordered_pair(X0,X1),element_relation) ),
inference(superposition,[status(thm)],[c_135,c_139]) ).
cnf(c_7028,plain,
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| member(ordered_pair(X0,X1),element_relation) ),
inference(global_subsumption_just,[status(thm)],[c_6962,c_6368,c_6962]) ).
cnf(c_7036,plain,
( ~ member(X0,least(element_relation,X1))
| ~ member(least(element_relation,X1),universal_class)
| ~ subclass(X1,X2)
| ~ member(X0,X1)
| ~ well_ordering(element_relation,X2) ),
inference(superposition,[status(thm)],[c_7028,c_67]) ).
cnf(c_7221,plain,
( ~ member(least(element_relation,u),universal_class)
| ~ well_ordering(element_relation,X0)
| ~ subclass(u,X0)
| ~ member(v,u) ),
inference(superposition,[status(thm)],[c_52,c_7036]) ).
cnf(c_7697,plain,
( ~ subclass(u,X0)
| ~ well_ordering(element_relation,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7221,c_51,c_6510,c_7221]) ).
cnf(c_7698,plain,
( ~ well_ordering(element_relation,X0)
| ~ subclass(u,X0) ),
inference(renaming,[status(thm)],[c_7697]) ).
cnf(c_7704,plain,
~ subclass(u,y),
inference(superposition,[status(thm)],[c_49,c_7698]) ).
cnf(c_7705,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_7704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM066-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:29:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.81/1.17 % SZS status Started for theBenchmark.p
% 3.81/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.17
% 3.81/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.81/1.17
% 3.81/1.17 ------ iProver source info
% 3.81/1.17
% 3.81/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.81/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.81/1.17 git: non_committed_changes: false
% 3.81/1.17 git: last_make_outside_of_git: false
% 3.81/1.17
% 3.81/1.17 ------ Parsing...successful
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 3.81/1.17
% 3.81/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.81/1.17
% 3.81/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.81/1.17 ------ Proving...
% 3.81/1.17 ------ Problem Properties
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 clauses 141
% 3.81/1.17 conjectures 4
% 3.81/1.17 EPR 17
% 3.81/1.17 Horn 129
% 3.81/1.17 unary 52
% 3.81/1.17 binary 58
% 3.81/1.17 lits 275
% 3.81/1.17 lits eq 62
% 3.81/1.17 fd_pure 0
% 3.81/1.17 fd_pseudo 0
% 3.81/1.17 fd_cond 5
% 3.81/1.17 fd_pseudo_cond 10
% 3.81/1.17 AC symbols 0
% 3.81/1.17
% 3.81/1.17 ------ Input Options Time Limit: Unbounded
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 ------
% 3.81/1.17 Current options:
% 3.81/1.17 ------
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 ------ Proving...
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 ------ Proving...
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 ------ Proving...
% 3.81/1.17
% 3.81/1.17
% 3.81/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.17
% 3.81/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.17
% 3.81/1.17
%------------------------------------------------------------------------------