TSTP Solution File: SYN063+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN063+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 : 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 01:49:25 EDT 2023
% Result : Theorem 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 114 ( 9 avg)
% Number of connectives : 241 ( 84 ~; 117 |; 34 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 13 ( 7 sgn; 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
a: $i ).
tff(decl_23,type,
big_p: $i > $o ).
tff(decl_24,type,
b: $i ).
tff(decl_25,type,
c: $i ).
tff(decl_26,type,
esk1_0: $i ).
tff(decl_27,type,
esk2_0: $i ).
fof(pel33,conjecture,
( ! [X1] :
( ( big_p(a)
& ( big_p(X1)
=> big_p(b) ) )
=> big_p(c) )
<=> ! [X2] :
( ( ~ big_p(a)
| big_p(X2)
| big_p(c) )
& ( ~ big_p(a)
| ~ big_p(b)
| big_p(c) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
( ( big_p(a)
& ( big_p(X1)
=> big_p(b) ) )
=> big_p(c) )
<=> ! [X2] :
( ( ~ big_p(a)
| big_p(X2)
| big_p(c) )
& ( ~ big_p(a)
| ~ big_p(b)
| big_p(c) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel33])]) ).
fof(c_0_2,negated_conjecture,
! [X5,X6] :
( ( big_p(a)
| big_p(a)
| big_p(a) )
& ( big_p(b)
| big_p(a)
| big_p(a) )
& ( ~ big_p(c)
| big_p(a)
| big_p(a) )
& ( big_p(a)
| ~ big_p(esk2_0)
| big_p(a) )
& ( big_p(b)
| ~ big_p(esk2_0)
| big_p(a) )
& ( ~ big_p(c)
| ~ big_p(esk2_0)
| big_p(a) )
& ( big_p(a)
| ~ big_p(c)
| big_p(a) )
& ( big_p(b)
| ~ big_p(c)
| big_p(a) )
& ( ~ big_p(c)
| ~ big_p(c)
| big_p(a) )
& ( big_p(a)
| big_p(a)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(b)
| big_p(a)
| ~ big_p(esk1_0)
| big_p(b) )
& ( ~ big_p(c)
| big_p(a)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(a)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(b)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0)
| big_p(b) )
& ( ~ big_p(c)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(a)
| ~ big_p(c)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(b)
| ~ big_p(c)
| ~ big_p(esk1_0)
| big_p(b) )
& ( ~ big_p(c)
| ~ big_p(c)
| ~ big_p(esk1_0)
| big_p(b) )
& ( big_p(a)
| big_p(a)
| ~ big_p(c) )
& ( big_p(b)
| big_p(a)
| ~ big_p(c) )
& ( ~ big_p(c)
| big_p(a)
| ~ big_p(c) )
& ( big_p(a)
| ~ big_p(esk2_0)
| ~ big_p(c) )
& ( big_p(b)
| ~ big_p(esk2_0)
| ~ big_p(c) )
& ( ~ big_p(c)
| ~ big_p(esk2_0)
| ~ big_p(c) )
& ( big_p(a)
| ~ big_p(c)
| ~ big_p(c) )
& ( big_p(b)
| ~ big_p(c)
| ~ big_p(c) )
& ( ~ big_p(c)
| ~ big_p(c)
| ~ big_p(c) )
& ( ~ big_p(a)
| big_p(X6)
| big_p(c)
| big_p(X5)
| ~ big_p(a)
| big_p(c) )
& ( ~ big_p(a)
| ~ big_p(b)
| big_p(c)
| big_p(X5)
| ~ big_p(a)
| big_p(c) )
& ( ~ big_p(a)
| big_p(X6)
| big_p(c)
| ~ big_p(b)
| ~ big_p(a)
| big_p(c) )
& ( ~ big_p(a)
| ~ big_p(b)
| big_p(c)
| ~ big_p(b)
| ~ big_p(a)
| big_p(c) ) ),
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(c)
| big_p(c)
| ~ big_p(a)
| ~ big_p(b)
| ~ big_p(b)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_p(a)
| big_p(a)
| big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_p(c)
| ~ big_p(c)
| ~ big_p(c) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_p(b)
| big_p(b)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( big_p(c)
| ~ big_p(a)
| ~ big_p(b) ),
inference(cn,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
big_p(a),
inference(cn,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
~ big_p(c),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( big_p(X1)
| big_p(c)
| big_p(X2)
| big_p(c)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( big_p(b)
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
inference(cn,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
~ big_p(b),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(c)
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( big_p(X1)
| big_p(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_8])]),c_0_9]) ).
cnf(c_0_16,negated_conjecture,
big_p(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN063+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % 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 20:35:44 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.13/0.46 start to proof: theBenchmark
% 0.13/0.47 % Version : CSE_E---1.5
% 0.13/0.47 % Problem : theBenchmark.p
% 0.13/0.47 % Proof found
% 0.13/0.47 % SZS status Theorem for theBenchmark.p
% 0.13/0.47 % SZS output start Proof
% See solution above
% 0.13/0.47 % Total time : 0.003000 s
% 0.13/0.47 % SZS output end Proof
% 0.13/0.47 % Total time : 0.006000 s
%------------------------------------------------------------------------------