TSTP Solution File: SET046+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 14:32:29 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 2 unt; 3 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 32 ( 15 ~; 11 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn; 4 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
element: ( $i * $i ) > $o ).
tff(decl_23,type,
esk1_0: $i ).
tff(decl_24,type,
esk2_1: $i > $i ).
fof(pel42,conjecture,
~ ? [X1] :
! [X2] :
( element(X2,X1)
<=> ~ ? [X3] :
( element(X2,X3)
& element(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel42) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
! [X2] :
( element(X2,X1)
<=> ~ ? [X3] :
( element(X2,X3)
& element(X3,X2) ) ),
inference(assume_negation,[status(cth)],[pel42]) ).
fof(c_0_2,negated_conjecture,
! [X5,X6] :
( ( ~ element(X5,esk1_0)
| ~ element(X5,X6)
| ~ element(X6,X5) )
& ( element(X5,esk2_1(X5))
| element(X5,esk1_0) )
& ( element(esk2_1(X5),X5)
| element(X5,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( ~ element(X1,esk1_0)
| ~ element(X1,X2)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( element(esk2_1(X1),X1)
| element(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( element(esk1_0,esk1_0)
| ~ element(X1,esk2_1(esk1_0))
| ~ element(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( element(X1,esk2_1(X1))
| element(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
element(esk1_0,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( ~ element(X1,esk1_0)
| ~ element(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 08:31:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.003000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.006000 s
%------------------------------------------------------------------------------