TSTP Solution File: SET787-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 14:35:32 EDT 2023
% Result : Unsatisfiable 29.60s 29.64s
% Output : CNFRefutation 29.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 41 ( 10 unt; 17 typ; 0 def)
% Number of atoms : 44 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 13 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
union: $i > $i ).
tff(decl_23,type,
member: ( $i * $i ) > $o ).
tff(decl_24,type,
unionE_sk1: ( $i * $i ) > $i ).
tff(decl_25,type,
subsetI_sk1: ( $i * $i ) > $i ).
tff(decl_26,type,
subset: ( $i * $i ) > $o ).
tff(decl_27,type,
cons: ( $i * $i ) > $i ).
tff(decl_28,type,
un: ( $i * $i ) > $i ).
tff(decl_29,type,
eptset: $i ).
tff(decl_30,type,
pair: ( $i * $i ) > $i ).
tff(decl_31,type,
converse: $i > $i ).
tff(decl_32,type,
converseE_sk2: $i > $i ).
tff(decl_33,type,
converseE_sk1: $i > $i ).
tff(decl_34,type,
converse_sk1: $i > $i ).
tff(decl_35,type,
converse_sk2: $i > $i ).
tff(decl_36,type,
sk2: $i ).
tff(decl_37,type,
a: $i ).
tff(decl_38,type,
b: $i ).
cnf(clause112,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause120,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause158,axiom,
~ member(X1,eptset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
cnf(unI2,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).
cnf(clause119,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(unI1,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).
cnf(c_0_8,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
clause112 ).
cnf(c_0_9,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
clause120 ).
cnf(c_0_10,plain,
( unionE_sk1(X1,cons(X2,X3)) = X2
| member(unionE_sk1(X1,cons(X2,X3)),X3)
| ~ member(X1,union(cons(X2,X3))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
~ member(X1,eptset),
clause158 ).
cnf(c_0_12,plain,
( unionE_sk1(X1,cons(X2,cons(X3,X4))) = X2
| unionE_sk1(X1,cons(X2,cons(X3,X4))) = X3
| member(unionE_sk1(X1,cons(X2,cons(X3,X4))),X4)
| ~ member(X1,union(cons(X2,cons(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_13,plain,
( unionE_sk1(X1,cons(X2,cons(X3,eptset))) = X3
| unionE_sk1(X1,cons(X2,cons(X3,eptset))) = X2
| ~ member(X1,union(cons(X2,cons(X3,eptset)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
un_eq_Union_2_c1 ).
cnf(c_0_15,negated_conjecture,
~ member(sk2,un(a,b)),
un_eq_Union_2_c2 ).
cnf(c_0_16,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
unI2 ).
cnf(c_0_17,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
clause119 ).
cnf(c_0_18,negated_conjecture,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ member(sk2,b),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
unI1 ).
cnf(c_0_21,negated_conjecture,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14])]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ member(sk2,a),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_14])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 10:18:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 29.60/29.64 % Version : CSE_E---1.5
% 29.60/29.64 % Problem : theBenchmark.p
% 29.60/29.64 % Proof found
% 29.60/29.64 % SZS status Theorem for theBenchmark.p
% 29.60/29.64 % SZS output start Proof
% See solution above
% 29.60/29.65 % Total time : 29.064000 s
% 29.60/29.65 % SZS output end Proof
% 29.60/29.65 % Total time : 29.068000 s
%------------------------------------------------------------------------------