TSTP Solution File: TOP005-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Fri Sep 1 05:57:12 EDT 2023
% Result : Unsatisfiable 2.96s 1.15s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 3 unt; 3 nHn; 38 RR)
% Number of literals : 106 ( 0 equ; 64 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ element_of_set(X0,union_of_members(X1))
| element_of_set(X0,f1(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(c_50,plain,
( ~ element_of_set(X0,union_of_members(X1))
| element_of_collection(f1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(c_51,plain,
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_set(X2,f10(X1,X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
cnf(c_52,plain,
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_collection(f10(X1,X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(c_53,plain,
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| subset_sets(f10(X1,X0,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_39) ).
cnf(c_54,plain,
( element_of_set(f11(X0,X1),X1)
| element_of_collection(X1,top_of_basis(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_40) ).
cnf(c_55,plain,
( ~ element_of_set(f11(X0,X1),X2)
| ~ element_of_collection(X2,X0)
| ~ subset_sets(X2,X1)
| element_of_collection(X1,top_of_basis(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_41) ).
cnf(c_57,plain,
( ~ element_of_collection(X0,X1)
| ~ subset_sets(X2,X0)
| subset_sets(X2,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_20) ).
cnf(c_58,plain,
( ~ element_of_collection(X0,X1)
| ~ subset_collections(X1,X2)
| element_of_collection(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_21) ).
cnf(c_59,negated_conjecture,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_2) ).
cnf(c_60,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_3) ).
cnf(c_129,plain,
( ~ element_of_collection(X0,g)
| element_of_collection(X0,top_of_basis(f)) ),
inference(resolution,[status(thm)],[c_58,c_59]) ).
cnf(c_195,plain,
( element_of_set(f11(X0,union_of_members(X1)),union_of_members(X1))
| element_of_collection(union_of_members(X1),top_of_basis(X0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_196,plain,
( ~ element_of_set(f11(X0,union_of_members(X1)),union_of_members(X1))
| element_of_collection(f1(X1,f11(X0,union_of_members(X1))),X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_197,plain,
( ~ element_of_set(f11(X0,union_of_members(X1)),union_of_members(X1))
| element_of_set(f11(X0,union_of_members(X1)),f1(X1,f11(X0,union_of_members(X1)))) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_212,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_215,plain,
( ~ element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X0)
| ~ subset_sets(X2,f1(X0,f11(X1,union_of_members(X0))))
| subset_sets(X2,union_of_members(X0)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_217,plain,
( ~ element_of_set(f11(X0,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(X0,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_218,plain,
( ~ element_of_collection(f1(g,f11(X0,union_of_members(g))),g)
| element_of_collection(f1(g,f11(X0,union_of_members(g))),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_219,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(f,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_220,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_235,plain,
( ~ element_of_set(f11(X0,X1),X2)
| ~ element_of_collection(X2,top_of_basis(X3))
| subset_sets(f10(X3,X2,f11(X0,X1)),X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_236,plain,
( ~ element_of_set(f11(X0,X1),X2)
| ~ element_of_collection(X2,top_of_basis(X3))
| element_of_collection(f10(X3,X2,f11(X0,X1)),X3) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_237,plain,
( ~ element_of_set(f11(X0,X1),X2)
| ~ element_of_collection(X2,top_of_basis(X3))
| element_of_set(f11(X0,X1),f10(X3,X2,f11(X0,X1))) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_247,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_297,plain,
( ~ subset_sets(X0,f1(g,f11(X1,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X1,union_of_members(g))),g)
| subset_sets(X0,union_of_members(g)) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_400,plain,
( ~ element_of_set(f11(X0,X1),f1(g,f11(X2,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X2,union_of_members(g))),top_of_basis(f))
| subset_sets(f10(f,f1(g,f11(X2,union_of_members(g))),f11(X0,X1)),f1(g,f11(X2,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_411,plain,
( ~ element_of_set(f11(X0,X1),f1(g,f11(X2,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X2,union_of_members(g))),top_of_basis(f))
| element_of_collection(f10(f,f1(g,f11(X2,union_of_members(g))),f11(X0,X1)),f) ),
inference(instantiation,[status(thm)],[c_236]) ).
cnf(c_415,plain,
( ~ element_of_set(f11(X0,X1),f1(g,f11(X2,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X2,union_of_members(g))),top_of_basis(f))
| element_of_set(f11(X0,X1),f10(f,f1(g,f11(X2,union_of_members(g))),f11(X0,X1))) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_484,plain,
( ~ element_of_set(f11(f,X0),f10(f,f1(g,f11(X1,union_of_members(g))),f11(X2,X3)))
| ~ subset_sets(f10(f,f1(g,f11(X1,union_of_members(g))),f11(X2,X3)),X0)
| ~ element_of_collection(f10(f,f1(g,f11(X1,union_of_members(g))),f11(X2,X3)),f)
| element_of_collection(X0,top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_493,plain,
( ~ subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X1,X2)),f1(g,f11(X0,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X0,union_of_members(g))),g)
| subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X1,X2)),union_of_members(g)) ),
inference(instantiation,[status(thm)],[c_297]) ).
cnf(c_694,plain,
( ~ element_of_set(f11(X0,union_of_members(g)),f1(g,f11(X0,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(X0,union_of_members(g))),top_of_basis(f))
| element_of_set(f11(X0,union_of_members(g)),f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_696,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[c_694]) ).
cnf(c_714,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_720,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f) ),
inference(instantiation,[status(thm)],[c_411]) ).
cnf(c_902,plain,
( ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g)) ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_939,plain,
( ~ element_of_set(f11(f,X0),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))))
| ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),X0)
| ~ element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f)
| element_of_collection(X0,top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_1700,plain,
( ~ element_of_set(f11(f,union_of_members(X0)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))))
| ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(X0))
| ~ element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f)
| element_of_collection(union_of_members(X0),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_3479,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))))
| ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g))
| ~ element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f)
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[c_1700]) ).
cnf(c_3480,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3479,c_902,c_720,c_714,c_696,c_247,c_220,c_219,c_212,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : Sat Aug 26 23:42:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.96/1.15 % SZS status Started for theBenchmark.p
% 2.96/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.15
% 2.96/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.96/1.15
% 2.96/1.15 ------ iProver source info
% 2.96/1.15
% 2.96/1.15 git: date: 2023-05-31 18:12:56 +0000
% 2.96/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.96/1.15 git: non_committed_changes: false
% 2.96/1.15 git: last_make_outside_of_git: false
% 2.96/1.15
% 2.96/1.15 ------ Parsing...successful
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.96/1.15
% 2.96/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.96/1.15 ------ Proving...
% 2.96/1.15 ------ Problem Properties
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 clauses 11
% 2.96/1.15 conjectures 1
% 2.96/1.15 EPR 1
% 2.96/1.15 Horn 9
% 2.96/1.15 unary 1
% 2.96/1.15 binary 4
% 2.96/1.15 lits 28
% 2.96/1.15 lits eq 0
% 2.96/1.15 fd_pure 0
% 2.96/1.15 fd_pseudo 0
% 2.96/1.15 fd_cond 0
% 2.96/1.15 fd_pseudo_cond 0
% 2.96/1.15 AC symbols 0
% 2.96/1.15
% 2.96/1.15 ------ Schedule dynamic 5 is on
% 2.96/1.15
% 2.96/1.15 ------ no equalities: superposition off
% 2.96/1.15
% 2.96/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 ------
% 2.96/1.15 Current options:
% 2.96/1.15 ------
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 ------ Proving...
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.15
% 2.96/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.16
% 2.96/1.16
%------------------------------------------------------------------------------