TSTP Solution File: SYN966+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 02:00:23 EDT 2023
% Result : Theorem 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 54 ( 19 ~; 22 |; 5 &)
% ( 4 <=>; 4 =>; 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 : 30 ( 0 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
eq: ( $i * $i ) > $o ).
tff(decl_23,type,
a_member_of: ( $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(prove_this,conjecture,
( ! [X1,X2] :
( eq(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X4,X5] :
( eq(X4,X5)
=> eq(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1,X2] :
( eq(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X4,X5] :
( eq(X4,X5)
=> eq(X5,X4) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7,X8,X9,X10,X11] :
( ( ~ a_member_of(X8,X6)
| a_member_of(X8,X7)
| ~ eq(X6,X7) )
& ( ~ a_member_of(X9,X7)
| a_member_of(X9,X6)
| ~ eq(X6,X7) )
& ( ~ a_member_of(esk1_2(X10,X11),X10)
| ~ a_member_of(esk1_2(X10,X11),X11)
| eq(X10,X11) )
& ( a_member_of(esk1_2(X10,X11),X10)
| a_member_of(esk1_2(X10,X11),X11)
| eq(X10,X11) )
& eq(esk2_0,esk3_0)
& ~ eq(esk3_0,esk2_0) ),
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)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( a_member_of(X1,X3)
| ~ a_member_of(X1,X2)
| ~ eq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
eq(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( a_member_of(X1,X3)
| ~ a_member_of(X1,X2)
| ~ eq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( a_member_of(X1,esk3_0)
| ~ a_member_of(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( a_member_of(esk1_2(X1,X2),X1)
| a_member_of(esk1_2(X1,X2),X2)
| eq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( eq(X1,X2)
| ~ a_member_of(esk1_2(X1,X2),X1)
| ~ a_member_of(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( a_member_of(X1,esk2_0)
| ~ a_member_of(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( a_member_of(esk1_2(X1,esk2_0),esk3_0)
| a_member_of(esk1_2(X1,esk2_0),X1)
| eq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ eq(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( eq(X1,esk2_0)
| ~ a_member_of(esk1_2(X1,esk2_0),esk3_0)
| ~ a_member_of(esk1_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
a_member_of(esk1_2(esk3_0,esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_13])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Aug 26 18:46:59 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.47 start to proof: theBenchmark
% 0.14/0.48 % Version : CSE_E---1.5
% 0.14/0.48 % Problem : theBenchmark.p
% 0.14/0.48 % Proof found
% 0.14/0.48 % SZS status Theorem for theBenchmark.p
% 0.14/0.48 % SZS output start Proof
% See solution above
% 0.14/0.48 % Total time : 0.003000 s
% 0.14/0.48 % SZS output end Proof
% 0.14/0.48 % Total time : 0.005000 s
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