TSTP Solution File: TOP005-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP005-2 : 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 : n017.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 05:53:40 EDT 2023
% Result : Unsatisfiable 5.79s 5.90s
% Output : CNFRefutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 43 ( 6 unt; 11 typ; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 56 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% 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 : 70 ( 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,
top_of_basis: $i > $i ).
tff(decl_27,type,
f10: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
subset_sets: ( $i * $i ) > $o ).
tff(decl_29,type,
f11: ( $i * $i ) > $i ).
tff(decl_30,type,
subset_collections: ( $i * $i ) > $o ).
tff(decl_31,type,
g: $i ).
tff(decl_32,type,
f: $i ).
cnf(topology_generated_41,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_41) ).
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_20,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_20) ).
cnf(topology_generated_39,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_39) ).
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(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_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_21) ).
cnf(lemma_1e_2,negated_conjecture,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_2) ).
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_1e_3,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_3) ).
cnf(topology_generated_40,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_40) ).
cnf(c_0_11,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
topology_generated_41 ).
cnf(c_0_12,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_13,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
set_theory_20 ).
cnf(c_0_14,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_39 ).
cnf(c_0_15,plain,
( element_of_collection(X1,top_of_basis(X2))
| ~ subset_sets(f10(X3,X4,f11(X2,X1)),X1)
| ~ element_of_collection(f10(X3,X4,f11(X2,X1)),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_set(f11(X2,X1),X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( subset_sets(f10(X1,X2,X3),union_of_members(X4))
| ~ element_of_collection(X2,top_of_basis(X1))
| ~ element_of_collection(X2,X4)
| ~ element_of_set(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f10(X3,X4,f11(X2,union_of_members(X1))),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_collection(X4,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,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_19,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_collection(X3,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1 ).
cnf(c_0_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
set_theory_21 ).
cnf(c_0_22,negated_conjecture,
subset_collections(g,top_of_basis(f)),
lemma_1e_2 ).
cnf(c_0_23,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),union_of_members(X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( element_of_collection(X1,top_of_basis(f))
| ~ element_of_collection(X1,g) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),g)
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2 ).
cnf(c_0_27,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(g,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(g)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
lemma_1e_3 ).
cnf(c_0_29,negated_conjecture,
~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28]) ).
cnf(c_0_30,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
topology_generated_40 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.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 23:16:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 5.79/5.90 % Version : CSE_E---1.5
% 5.79/5.90 % Problem : theBenchmark.p
% 5.79/5.90 % Proof found
% 5.79/5.90 % SZS status Theorem for theBenchmark.p
% 5.79/5.90 % SZS output start Proof
% See solution above
% 5.79/5.91 % Total time : 5.328000 s
% 5.79/5.91 % SZS output end Proof
% 5.79/5.91 % Total time : 5.331000 s
%------------------------------------------------------------------------------