TSTP Solution File: SYN403+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN403+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 : n020.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 01:51:37 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn; 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: $i > $o ).
tff(decl_23,type,
g: $i > $o ).
tff(decl_24,type,
h: $i > $o ).
tff(decl_25,type,
esk1_0: $i ).
fof(kalish234,conjecture,
! [X1] :
( ( ( f(X1)
=> g(X1) )
& ( g(X1)
=> h(X1) ) )
=> ( f(X1)
=> h(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ( f(X1)
=> g(X1) )
& ( g(X1)
=> h(X1) ) )
=> ( f(X1)
=> h(X1) ) ),
inference(assume_negation,[status(cth)],[kalish234]) ).
fof(c_0_2,negated_conjecture,
( ( ~ f(esk1_0)
| g(esk1_0) )
& ( ~ g(esk1_0)
| h(esk1_0) )
& f(esk1_0)
& ~ h(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3,negated_conjecture,
( g(esk1_0)
| ~ f(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( h(esk1_0)
| ~ g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
g(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
~ h(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN403+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.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 20:51:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.57 % Version : CSE_E---1.5
% 0.21/0.57 % Problem : theBenchmark.p
% 0.21/0.57 % Proof found
% 0.21/0.57 % SZS status Theorem for theBenchmark.p
% 0.21/0.57 % SZS output start Proof
% See solution above
% 0.21/0.57 % Total time : 0.003000 s
% 0.21/0.57 % SZS output end Proof
% 0.21/0.57 % Total time : 0.005000 s
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