TSTP Solution File: SYN413+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 01:51:40 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 8 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 3 sgn; 10 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: ( $i * $i ) > $o ).
tff(decl_23,type,
esk1_1: $i > $i ).
tff(decl_24,type,
esk2_0: $i ).
fof(kalish256,conjecture,
( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[kalish256])]) ).
fof(c_0_2,negated_conjecture,
! [X6,X8,X9,X11] :
( ( f(X8,X6)
| ~ f(X8,esk1_1(X6)) )
& ( ~ f(X8,X8)
| ~ f(X8,esk1_1(X6)) )
& ( ~ f(X9,X6)
| f(X9,X9)
| f(X9,esk1_1(X6)) )
& f(X11,esk2_0) ),
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,
( f(X1,X1)
| f(X1,esk1_1(X2))
| ~ f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(X1,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ f(X1,X1)
| ~ f(X1,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( f(X1,esk1_1(esk2_0))
| f(X1,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
f(esk1_1(X1),esk1_1(esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_8,negated_conjecture,
~ f(esk1_1(X1),esk1_1(X1)),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.35 % Computer : n014.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 19:43:32 EDT 2023
% 0.16/0.35 % 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 : 0.004000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.006000 s
%------------------------------------------------------------------------------