TSTP Solution File: SYN334+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN334+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 : n032.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 01:51:11 EDT 2023
% Result : Theorem 0.11s 0.47s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 2 unt; 3 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 74 ( 27 ~; 27 |; 6 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 36 ( 2 sgn; 4 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: ( $i * $i ) > $o ).
tff(decl_23,type,
big_g: ( $i * $i ) > $o ).
tff(decl_24,type,
esk1_2: ( $i * $i ) > $i ).
fof(church_46_14_6,conjecture,
? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_6) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_6]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,esk1_2(X4,X5))
| big_g(X5,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_g(X5,esk1_2(X4,X5))
| big_f(X4,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_f(X4,X5)
| ~ big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(X4,X5)
| ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_g(X4,X5)
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) ) ),
inference(distribute,[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_f(X1,X2)
| ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_g(X1,X2)
| big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_f(X2,esk1_2(X2,X1))
| ~ big_g(X1,esk1_2(X2,X1))
| ~ big_f(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_g(X1,X2)
| big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( big_f(X1,esk1_2(X2,X1))
| big_f(X2,esk1_2(X2,X1))
| ~ big_f(X2,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(csr,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( big_g(X2,esk1_2(X1,X2))
| ~ big_f(X1,esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_g(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ big_g(X1,X2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_4,c_0_16]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Sat Aug 26 18:55:44 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.11/0.46 start to proof: theBenchmark
% 0.11/0.47 % Version : CSE_E---1.5
% 0.11/0.47 % Problem : theBenchmark.p
% 0.11/0.47 % Proof found
% 0.11/0.47 % SZS status Theorem for theBenchmark.p
% 0.11/0.47 % SZS output start Proof
% See solution above
% 0.11/0.47 % Total time : 0.003000 s
% 0.11/0.47 % SZS output end Proof
% 0.11/0.47 % Total time : 0.004000 s
%------------------------------------------------------------------------------