TSTP Solution File: SYN375+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN375+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 : n027.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 01:51:28 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 88 ( 29 ~; 46 |; 7 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 35 ( 19 sgn; 12 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_p: $i > $o ).
tff(decl_23,type,
esk1_0: $i ).
tff(decl_24,type,
esk2_0: $i ).
tff(decl_25,type,
esk3_0: $i ).
tff(decl_26,type,
esk4_0: $i ).
tff(decl_27,type,
esk5_0: $i ).
tff(decl_28,type,
esk6_0: $i ).
tff(decl_29,type,
esk7_0: $i ).
fof(x2126,conjecture,
( ! [X1] :
( big_p(X1)
<=> ? [X2] : big_p(X2) )
<=> ( ! [X1] : big_p(X1)
<=> ? [X2] : big_p(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2126) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
( big_p(X1)
<=> ? [X2] : big_p(X2) )
<=> ( ! [X1] : big_p(X1)
<=> ? [X2] : big_p(X2) ) ),
inference(assume_negation,[status(cth)],[x2126]) ).
fof(c_0_2,negated_conjecture,
! [X4,X7,X8,X10,X12,X13,X16,X17] :
( ( ~ big_p(esk3_0)
| ~ big_p(X7)
| ~ big_p(esk1_0)
| ~ big_p(X4) )
& ( big_p(X8)
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(X4) )
& ( ~ big_p(esk3_0)
| ~ big_p(X7)
| big_p(esk1_0)
| big_p(esk2_0) )
& ( big_p(X8)
| big_p(esk4_0)
| big_p(esk1_0)
| big_p(esk2_0) )
& ( ~ big_p(esk6_0)
| big_p(esk7_0)
| ~ big_p(X10)
| big_p(esk5_0) )
& ( ~ big_p(X16)
| big_p(X17)
| ~ big_p(X10)
| big_p(esk5_0) )
& ( ~ big_p(esk6_0)
| big_p(esk7_0)
| ~ big_p(X12)
| big_p(X13) )
& ( ~ big_p(X16)
| big_p(X17)
| ~ big_p(X12)
| big_p(X13) ) ),
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,
( big_p(X1)
| big_p(esk4_0)
| big_p(esk1_0)
| big_p(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_p(X2)
| big_p(X4)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_p(esk4_0)
| big_p(esk2_0)
| big_p(esk1_0) ),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( big_p(esk1_0)
| big_p(esk2_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]),c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( big_p(esk2_0)
| big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( big_p(esk1_0)
| big_p(X1)
| ~ big_p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( big_p(esk1_0)
| big_p(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
big_p(esk1_0),
inference(ef,[status(thm)],[c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(X1)
| ~ big_p(esk1_0)
| ~ big_p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( big_p(X1)
| big_p(X2)
| ~ big_p(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(X1)
| ~ big_p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10])]) ).
cnf(c_0_14,negated_conjecture,
( big_p(X1)
| big_p(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
big_p(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_15]),c_0_15]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN375+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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 19:33:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.005000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.008000 s
%------------------------------------------------------------------------------