TSTP Solution File: SYN350+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN350+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 : n019.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 01:51:19 EDT 2023
% Result : Theorem 0.21s 0.65s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 43 ( 15 ~; 13 |; 7 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 4 sgn; 6 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: ( $i * $i ) > $o ).
tff(decl_23,type,
esk1_0: $i ).
tff(decl_24,type,
esk2_2: ( $i * $i ) > $i ).
fof(church_46_18_2,conjecture,
! [X1] :
? [X2,X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X4,X1) )
=> ( big_f(X1,X4)
<=> ( big_f(X3,X4)
& ( big_f(X2,X4)
=> big_f(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_2) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X2,X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X4,X1) )
=> ( big_f(X1,X4)
<=> ( big_f(X3,X4)
& ( big_f(X2,X4)
=> big_f(X2,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_18_2]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7] :
( ( ~ big_f(esk1_0,esk2_2(X6,X7))
| big_f(esk2_2(X6,X7),esk1_0) )
& ( ~ big_f(esk2_2(X6,X7),esk1_0)
| big_f(esk1_0,esk2_2(X6,X7)) )
& ( big_f(X6,esk2_2(X6,X7))
| ~ big_f(X7,esk2_2(X6,X7))
| ~ big_f(esk1_0,esk2_2(X6,X7)) )
& ( ~ big_f(X6,X7)
| ~ big_f(X7,esk2_2(X6,X7))
| ~ big_f(esk1_0,esk2_2(X6,X7)) )
& ( big_f(X7,esk2_2(X6,X7))
| big_f(esk1_0,esk2_2(X6,X7)) )
& ( ~ big_f(X6,esk2_2(X6,X7))
| big_f(X6,X7)
| big_f(esk1_0,esk2_2(X6,X7)) ) ),
inference(distribute,[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,
( big_f(X1,esk2_2(X2,X1))
| big_f(esk1_0,esk2_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_0,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
big_f(esk1_0,esk2_2(X1,esk1_0)),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ big_f(X1,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_5])]) ).
cnf(c_0_7,negated_conjecture,
( big_f(esk2_2(X1,X2),esk1_0)
| ~ big_f(esk1_0,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ big_f(esk1_0,esk2_2(X1,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Aug 26 16:52:58 EDT 2023
% 0.12/0.38 % CPUTime :
% 0.21/0.63 start to proof: theBenchmark
% 0.21/0.65 % Version : CSE_E---1.5
% 0.21/0.65 % Problem : theBenchmark.p
% 0.21/0.65 % Proof found
% 0.21/0.65 % SZS status Theorem for theBenchmark.p
% 0.21/0.65 % SZS output start Proof
% See solution above
% 0.21/0.65 % Total time : 0.005000 s
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time : 0.007000 s
%------------------------------------------------------------------------------