TSTP Solution File: SYN954+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN954+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 : n023.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 02:00:20 EDT 2023
% Result : Theorem 0.54s 0.59s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 2 unt; 4 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 31 ( 9 ~; 8 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 1 sgn; 8 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
q: $i > $o ).
tff(decl_23,type,
p: $i > $o ).
tff(decl_24,type,
esk1_0: $i ).
tff(decl_25,type,
esk2_0: $i ).
fof(prove_this,conjecture,
! [X1,X2] :
( ! [X3] :
( q(X3)
=> p(X3) )
=> ? [X4] :
( ( p(X4)
=> p(X1) )
& ( q(X4)
=> p(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ! [X1,X2] :
( ! [X3] :
( q(X3)
=> p(X3) )
=> ? [X4] :
( ( p(X4)
=> p(X1) )
& ( q(X4)
=> p(X2) ) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X7,X8] :
( ( ~ q(X7)
| p(X7) )
& ( q(X8)
| p(X8) )
& ( ~ p(esk2_0)
| p(X8) )
& ( q(X8)
| ~ p(esk1_0) )
& ( ~ p(esk2_0)
| ~ p(esk1_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,
( q(X1)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p(X1)
| ~ q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ p(esk2_0)
| ~ p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
p(X1),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN954+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:28:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.54/0.57 start to proof: theBenchmark
% 0.54/0.59 % Version : CSE_E---1.5
% 0.54/0.59 % Problem : theBenchmark.p
% 0.54/0.59 % Proof found
% 0.54/0.59 % SZS status Theorem for theBenchmark.p
% 0.54/0.59 % SZS output start Proof
% See solution above
% 0.54/0.59 % Total time : 0.004000 s
% 0.54/0.59 % SZS output end Proof
% 0.54/0.59 % Total time : 0.006000 s
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