TSTP Solution File: SET047+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 14:32:30 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 61 ( 23 ~; 30 |; 4 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn; 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
set_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
element: ( $i * $i ) > $o ).
tff(decl_24,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_25,type,
esk2_0: $i ).
tff(decl_26,type,
esk3_0: $i ).
fof(pel43,conjecture,
! [X1,X2] :
( set_equal(X1,X2)
<=> set_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43) ).
fof(pel43_1,axiom,
! [X1,X2] :
( set_equal(X1,X2)
<=> ! [X3] :
( element(X3,X1)
<=> element(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43_1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( set_equal(X1,X2)
<=> set_equal(X2,X1) ),
inference(assume_negation,[status(cth)],[pel43]) ).
fof(c_0_3,plain,
! [X4,X5,X6,X7,X8,X9] :
( ( ~ element(X6,X4)
| element(X6,X5)
| ~ set_equal(X4,X5) )
& ( ~ element(X7,X5)
| element(X7,X4)
| ~ set_equal(X4,X5) )
& ( ~ element(esk1_2(X8,X9),X8)
| ~ element(esk1_2(X8,X9),X9)
| set_equal(X8,X9) )
& ( element(esk1_2(X8,X9),X8)
| element(esk1_2(X8,X9),X9)
| set_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pel43_1])])])])])]) ).
fof(c_0_4,negated_conjecture,
( ( ~ set_equal(esk2_0,esk3_0)
| ~ set_equal(esk3_0,esk2_0) )
& ( set_equal(esk2_0,esk3_0)
| set_equal(esk3_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( element(X1,X3)
| ~ element(X1,X2)
| ~ set_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( set_equal(esk2_0,esk3_0)
| set_equal(esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( element(X1,X3)
| ~ element(X1,X2)
| ~ set_equal(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( element(X1,esk3_0)
| ~ element(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
( element(esk1_2(X1,X2),X1)
| element(esk1_2(X1,X2),X2)
| set_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( element(esk1_2(esk2_0,X1),esk3_0)
| element(esk1_2(esk2_0,X1),X1)
| set_equal(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
( set_equal(X1,X2)
| ~ element(esk1_2(X1,X2),X1)
| ~ element(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( element(esk1_2(esk2_0,esk3_0),esk3_0)
| set_equal(esk2_0,esk3_0) ),
inference(ef,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( set_equal(esk2_0,esk3_0)
| ~ element(esk1_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( element(X1,esk2_0)
| ~ element(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( ~ set_equal(esk2_0,esk3_0)
| ~ set_equal(esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
set_equal(esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( element(esk1_2(X1,esk2_0),esk3_0)
| element(esk1_2(X1,esk2_0),X1)
| set_equal(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_18,negated_conjecture,
~ set_equal(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
( set_equal(X1,esk2_0)
| ~ element(esk1_2(X1,esk2_0),esk3_0)
| ~ element(esk1_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
element(esk1_2(esk3_0,esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 13:17:52 EDT 2023
% 0.12/0.34 % 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 : 0.004000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.007000 s
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