TSTP Solution File: SYN729+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN729+1 : TPTP v8.1.2. Released v2.5.0.
% 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 01:54:09 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 47 ( 16 ~; 10 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 5 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn; 9 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p: $i > $o ).
tff(decl_23,type,
h: $i > $i ).
tff(decl_24,type,
g: $i > $i ).
tff(decl_25,type,
l: ( $i * $i ) > $o ).
tff(decl_26,type,
esk1_1: $i > $i ).
tff(decl_27,type,
esk2_0: $i ).
fof(thm72,conjecture,
( ( ! [X1] :
? [X2] :
( p(X1)
=> ( l(X1,g(h(X2)))
& p(X2) ) )
& ! [X3] :
( p(X3)
=> ( p(g(X3))
& p(h(X3)) ) ) )
=> ! [X1] :
( p(X1)
=> ? [X2] :
( l(X1,X2)
& p(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72) ).
fof(c_0_1,negated_conjecture,
~ ( ( ! [X1] :
? [X2] :
( p(X1)
=> ( l(X1,g(h(X2)))
& p(X2) ) )
& ! [X3] :
( p(X3)
=> ( p(g(X3))
& p(h(X3)) ) ) )
=> ! [X1] :
( p(X1)
=> ? [X2] :
( l(X1,X2)
& p(X2) ) ) ),
inference(assume_negation,[status(cth)],[thm72]) ).
fof(c_0_2,negated_conjecture,
! [X4,X6,X8] :
( ( l(X4,g(h(esk1_1(X4))))
| ~ p(X4) )
& ( p(esk1_1(X4))
| ~ p(X4) )
& ( p(g(X6))
| ~ p(X6) )
& ( p(h(X6))
| ~ p(X6) )
& p(esk2_0)
& ( ~ l(esk2_0,X8)
| ~ p(X8) ) ),
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,
( ~ l(esk2_0,X1)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( l(X1,g(h(esk1_1(X1))))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
p(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
~ p(g(h(esk1_1(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
cnf(c_0_7,negated_conjecture,
( p(g(X1))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ p(h(esk1_1(esk2_0))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( p(h(X1))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
~ p(esk1_1(esk2_0)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( p(esk1_1(X1))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN729+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 17:43:20 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.58 % Version : CSE_E---1.5
% 0.21/0.58 % Problem : theBenchmark.p
% 0.21/0.58 % Proof found
% 0.21/0.58 % SZS status Theorem for theBenchmark.p
% 0.21/0.58 % SZS output start Proof
% See solution above
% 0.21/0.58 % Total time : 0.003000 s
% 0.21/0.58 % SZS output end Proof
% 0.21/0.58 % Total time : 0.006000 s
%------------------------------------------------------------------------------