TSTP Solution File: SYN347+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN347+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 : n022.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 01:51:18 EDT 2023
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 66 ( 23 ~; 32 |; 5 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn; 8 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: ( $i * $i ) > $o ).
tff(decl_23,type,
esk1_0: $i ).
tff(decl_24,type,
esk2_0: $i ).
tff(decl_25,type,
esk3_2: ( $i * $i ) > $i ).
fof(church_46_17_3,conjecture,
! [X1,X2] :
? [X3,X4] :
! [X5] :
( ( ( big_f(X3,X5)
<=> big_f(X4,X5) )
<=> big_f(X1,X2) )
| ( big_f(X1,X5)
<=> big_f(X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_3) ).
fof(c_0_1,negated_conjecture,
~ ! [X1,X2] :
? [X3,X4] :
! [X5] :
( ( ( big_f(X3,X5)
<=> big_f(X4,X5) )
<=> big_f(X1,X2) )
| ( big_f(X1,X5)
<=> big_f(X2,X5) ) ),
inference(assume_negation,[status(cth)],[church_46_17_3]) ).
fof(c_0_2,negated_conjecture,
! [X8,X9] :
( ( ~ big_f(X8,esk3_2(X8,X9))
| ~ big_f(X9,esk3_2(X8,X9))
| ~ big_f(esk1_0,esk2_0) )
& ( big_f(X8,esk3_2(X8,X9))
| big_f(X9,esk3_2(X8,X9))
| ~ big_f(esk1_0,esk2_0) )
& ( ~ big_f(X8,esk3_2(X8,X9))
| big_f(X9,esk3_2(X8,X9))
| big_f(esk1_0,esk2_0) )
& ( ~ big_f(X9,esk3_2(X8,X9))
| big_f(X8,esk3_2(X8,X9))
| big_f(esk1_0,esk2_0) )
& ( ~ big_f(esk1_0,esk3_2(X8,X9))
| ~ big_f(esk2_0,esk3_2(X8,X9)) )
& ( big_f(esk1_0,esk3_2(X8,X9))
| big_f(esk2_0,esk3_2(X8,X9)) ) ),
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(X2,esk3_2(X2,X1))
| big_f(esk1_0,esk2_0)
| ~ big_f(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_f(esk1_0,esk3_2(X1,X2))
| big_f(esk2_0,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_f(esk2_0,esk3_2(X1,esk1_0))
| big_f(X1,esk3_2(X1,esk1_0))
| big_f(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk1_0,esk2_0)
| ~ big_f(X1,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( big_f(esk2_0,esk3_2(esk2_0,esk1_0))
| big_f(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( ~ big_f(esk1_0,esk3_2(X1,X2))
| ~ big_f(esk2_0,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( big_f(esk1_0,esk3_2(esk2_0,esk1_0))
| big_f(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ big_f(X1,esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( big_f(X1,esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
big_f(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( big_f(esk2_0,esk3_2(X1,esk1_0))
| ~ big_f(X1,esk3_2(X1,esk1_0))
| ~ big_f(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( big_f(X1,esk3_2(X2,X1))
| big_f(X2,esk3_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
( big_f(esk2_0,esk3_2(esk1_0,esk1_0))
| ~ big_f(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( big_f(X1,esk3_2(esk1_0,X1))
| ~ big_f(esk2_0,esk3_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
big_f(esk2_0,esk3_2(esk1_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12])]) ).
cnf(c_0_18,negated_conjecture,
( ~ big_f(X1,esk3_2(X2,X1))
| ~ big_f(X2,esk3_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_12])]) ).
cnf(c_0_19,negated_conjecture,
big_f(esk1_0,esk3_2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN347+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
% 0.13/0.34 % Computer : n022.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 18:58:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.005000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.60 % Total time : 0.008000 s
%------------------------------------------------------------------------------