TSTP Solution File: SYN373+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN373+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 : n031.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 01:51:27 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 35 ( 12 ~; 13 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 6 sgn; 5 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_p: $i > $o ).
tff(decl_23,type,
big_q: $i > $o ).
tff(decl_24,type,
esk1_0: $i ).
tff(decl_25,type,
esk2_0: $i ).
tff(decl_26,type,
esk3_0: $i ).
fof(x2124,conjecture,
( ? [X1] :
( big_p(X1)
=> big_q(X1) )
<=> ( ! [X1] : big_p(X1)
=> ? [X1] : big_q(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2124) ).
fof(c_0_1,negated_conjecture,
~ ( ? [X1] :
( big_p(X1)
=> big_q(X1) )
<=> ( ! [X1] : big_p(X1)
=> ? [X1] : big_q(X1) ) ),
inference(assume_negation,[status(cth)],[x2124]) ).
fof(c_0_2,negated_conjecture,
! [X2,X3,X4] :
( ( big_p(X3)
| big_p(X2) )
& ( ~ big_q(X4)
| big_p(X2) )
& ( big_p(X3)
| ~ big_q(X2) )
& ( ~ big_q(X4)
| ~ big_q(X2) )
& ( ~ big_p(esk1_0)
| big_q(esk1_0)
| ~ big_p(esk2_0)
| big_q(esk3_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,
( big_p(X1)
| big_p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_q(esk1_0)
| big_q(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
big_p(X1),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ big_q(X1)
| ~ big_q(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( big_q(esk1_0)
| big_q(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5])]) ).
cnf(c_0_8,negated_conjecture,
~ big_q(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_7,c_0_8]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN373+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 21:37:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.003000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.006000 s
%------------------------------------------------------------------------------