TSTP Solution File: SYN343+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN343+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 : n028.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 01:51:16 EDT 2023
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 2 typ; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 5 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 21 ( 5 sgn; 7 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: ( $i * $i ) > $o ).
tff(decl_23,type,
esk1_1: $i > $i ).
fof(church_46_16_2,conjecture,
? [X1,X2,X3] :
! [X4] :
( ( ( big_f(X1,X2)
=> big_f(X4,X1) )
=> big_f(X1,X1) )
=> ( big_f(X1,X1)
& big_f(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_2) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2,X3] :
! [X4] :
( ( ( big_f(X1,X2)
=> big_f(X4,X1) )
=> big_f(X1,X1) )
=> ( big_f(X1,X1)
& big_f(X2,X3) ) ),
inference(assume_negation,[status(cth)],[church_46_16_2]) ).
fof(c_0_2,negated_conjecture,
! [X5,X6,X8,X9,X10] :
( ( big_f(X5,X6)
| big_f(X5,X5) )
& ( ~ big_f(esk1_1(X5),X5)
| big_f(X5,X5) )
& ( ~ big_f(X8,X8)
| ~ big_f(X9,X10) ) ),
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,
( big_f(X1,X2)
| big_f(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ~ big_f(X1,X1)
| ~ big_f(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
big_f(X1,X1),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ big_f(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:13:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.57 % Total time : 0.003000 s
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 % Total time : 0.006000 s
%------------------------------------------------------------------------------