TSTP Solution File: SYN360+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN360+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 : 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 01:51:24 EDT 2023
% Result : Theorem 0.46s 0.58s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 15 ( 5 ~; 2 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 4 sgn; 14 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_p: ( $i * $i ) > $o ).
tff(decl_23,type,
big_q: ( $i * $i ) > $o ).
tff(decl_24,type,
esk1_1: $i > $i ).
tff(decl_25,type,
esk2_0: $i ).
tff(decl_26,type,
esk3_0: $i ).
fof(x2111,conjecture,
( ( ! [X1] :
( ? [X2] : big_p(X1,X2)
=> ! [X2] : big_q(X1,X2) )
& ! [X3] :
? [X2] : big_p(X3,X2) )
=> ! [X2,X1] : big_q(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2111) ).
fof(c_0_1,negated_conjecture,
~ ( ( ! [X1] :
( ? [X2] : big_p(X1,X2)
=> ! [X2] : big_q(X1,X2) )
& ! [X3] :
? [X2] : big_p(X3,X2) )
=> ! [X2,X1] : big_q(X1,X2) ),
inference(assume_negation,[status(cth)],[x2111]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X6,X7] :
( ( ~ big_p(X4,X5)
| big_q(X4,X6) )
& big_p(X7,esk1_1(X7))
& ~ big_q(esk3_0,esk2_0) ),
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_q(X1,X3)
| ~ big_p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_p(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
~ big_q(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
big_q(X1,X2),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN360+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
% 0.13/0.34 % 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 18:17:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.46/0.57 start to proof: theBenchmark
% 0.46/0.58 % Version : CSE_E---1.5
% 0.46/0.58 % Problem : theBenchmark.p
% 0.46/0.58 % Proof found
% 0.46/0.58 % SZS status Theorem for theBenchmark.p
% 0.46/0.58 % SZS output start Proof
% See solution above
% 0.46/0.58 % Total time : 0.004000 s
% 0.46/0.58 % SZS output end Proof
% 0.46/0.58 % Total time : 0.006000 s
%------------------------------------------------------------------------------