TSTP Solution File: TOP001-2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 05:53:39 EDT 2023
% Result : Unsatisfiable 0.45s 0.57s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 46 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 38 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 10 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
union_of_members: $i > $i ).
tff(decl_23,type,
element_of_set: ( $i * $i ) > $o ).
tff(decl_24,type,
f1: ( $i * $i ) > $i ).
tff(decl_25,type,
element_of_collection: ( $i * $i ) > $o ).
tff(decl_26,type,
basis: ( $i * $i ) > $o ).
tff(decl_27,type,
equal_sets: ( $i * $i ) > $o ).
tff(decl_28,type,
top_of_basis: $i > $i ).
tff(decl_29,type,
f10: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
subset_sets: ( $i * $i ) > $o ).
tff(decl_31,type,
in_1st_set: ( $i * $i ) > $i ).
tff(decl_32,type,
cx: $i ).
tff(decl_33,type,
f: $i ).
cnf(union_of_members_3,axiom,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,X3)
| ~ element_of_collection(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).
cnf(topology_generated_38,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(topology_generated_37,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
cnf(set_theory_3,axiom,
( subset_sets(X1,X2)
| ~ equal_sets(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(lemma_1a_1,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).
cnf(union_of_members_1,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(set_theory_2,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).
cnf(set_theory_4,axiom,
( subset_sets(X1,X2)
| element_of_set(in_1st_set(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).
cnf(set_theory_5,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(in_1st_set(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).
cnf(lemma_1a_2,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).
cnf(c_0_12,axiom,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,X3)
| ~ element_of_collection(X3,X2) ),
union_of_members_3 ).
cnf(c_0_13,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_38 ).
cnf(c_0_14,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_set(X1,f10(X2,X3,X4))
| ~ element_of_set(X4,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_37 ).
cnf(c_0_16,axiom,
( subset_sets(X1,X2)
| ~ equal_sets(X1,X2) ),
set_theory_3 ).
cnf(c_0_17,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
basis_for_topology_28 ).
cnf(c_0_18,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_set(X1,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2 ).
cnf(c_0_20,plain,
( subset_sets(union_of_members(X1),X2)
| ~ basis(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
basis(cx,f),
lemma_1a_1 ).
cnf(c_0_22,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,f1(top_of_basis(X2),X3))
| ~ element_of_set(X3,union_of_members(top_of_basis(X2))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1 ).
cnf(c_0_24,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
set_theory_2 ).
cnf(c_0_25,negated_conjecture,
subset_sets(union_of_members(f),cx),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,union_of_members(top_of_basis(X2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
( subset_sets(X1,X2)
| element_of_set(in_1st_set(X1,X2),X1) ),
set_theory_4 ).
cnf(c_0_28,negated_conjecture,
( element_of_set(X1,cx)
| ~ element_of_set(X1,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( subset_sets(union_of_members(top_of_basis(X1)),X2)
| element_of_set(in_1st_set(union_of_members(top_of_basis(X1)),X2),union_of_members(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(in_1st_set(X1,X2),X2) ),
set_theory_5 ).
cnf(c_0_31,negated_conjecture,
( subset_sets(union_of_members(top_of_basis(f)),X1)
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),X1),cx) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
lemma_1a_2 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 23:52:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.45/0.55 start to proof: theBenchmark
% 0.45/0.57 % Version : CSE_E---1.5
% 0.45/0.57 % Problem : theBenchmark.p
% 0.45/0.57 % Proof found
% 0.45/0.57 % SZS status Theorem for theBenchmark.p
% 0.45/0.57 % SZS output start Proof
% See solution above
% 0.45/0.57 % Total time : 0.005000 s
% 0.45/0.57 % SZS output end Proof
% 0.45/0.57 % Total time : 0.008000 s
%------------------------------------------------------------------------------