TSTP Solution File: SYN386+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN386+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 : n009.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 01:51:31 EDT 2023
% Result : Theorem 0.52s 0.57s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 49 ( 15 ~; 11 |; 11 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 9 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 6 sgn; 32 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: ( $i * $i ) > $o ).
tff(decl_23,type,
big_s: ( $i * $i ) > $o ).
tff(decl_24,type,
big_d: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
esk1_1: $i > $i ).
tff(decl_26,type,
esk2_0: $i ).
tff(decl_27,type,
esk3_1: $i > $i ).
tff(decl_28,type,
esk4_1: $i > $i ).
tff(decl_29,type,
esk5_1: $i > $i ).
tff(decl_30,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk7_2: ( $i * $i ) > $i ).
fof(x2138,conjecture,
( ( ! [X1] :
? [X2] : big_f(X1,X2)
& ? [X1] :
! [X3] :
? [X4] :
! [X5] :
( big_s(X4,X5)
=> big_d(X5,X1,X3) )
& ! [X3] :
? [X6] :
! [X7,X8] :
( big_d(X7,X8,X6)
=> ! [X2,X9] :
( ( big_f(X7,X2)
& big_f(X8,X9) )
=> big_d(X2,X9,X3) ) ) )
=> ? [X2] :
! [X3] :
? [X10] :
! [X5] :
( big_s(X10,X5)
=> ! [X9] :
( big_f(X5,X9)
=> big_d(X9,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2138) ).
fof(c_0_1,negated_conjecture,
~ ( ( ! [X1] :
? [X2] : big_f(X1,X2)
& ? [X1] :
! [X3] :
? [X4] :
! [X5] :
( big_s(X4,X5)
=> big_d(X5,X1,X3) )
& ! [X3] :
? [X6] :
! [X7,X8] :
( big_d(X7,X8,X6)
=> ! [X2,X9] :
( ( big_f(X7,X2)
& big_f(X8,X9) )
=> big_d(X2,X9,X3) ) ) )
=> ? [X2] :
! [X3] :
? [X10] :
! [X5] :
( big_s(X10,X5)
=> ! [X9] :
( big_f(X5,X9)
=> big_d(X9,X2,X3) ) ) ),
inference(assume_negation,[status(cth)],[x2138]) ).
fof(c_0_2,negated_conjecture,
! [X11,X14,X16,X17,X19,X20,X21,X22,X23,X25] :
( big_f(X11,esk1_1(X11))
& ( ~ big_s(esk3_1(X14),X16)
| big_d(X16,esk2_0,X14) )
& ( ~ big_d(X19,X20,esk4_1(X17))
| ~ big_f(X19,X21)
| ~ big_f(X20,X22)
| big_d(X21,X22,X17) )
& big_s(X25,esk6_2(X23,X25))
& big_f(esk6_2(X23,X25),esk7_2(X23,X25))
& ~ big_d(esk7_2(X23,X25),X23,esk5_1(X23)) ),
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_d(X2,esk2_0,X1)
| ~ big_s(esk3_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_s(X1,esk6_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_d(X4,X5,X3)
| ~ big_d(X1,X2,esk4_1(X3))
| ~ big_f(X1,X4)
| ~ big_f(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
big_d(esk6_2(X1,esk3_1(X2)),esk2_0,X2),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( big_d(X1,X2,X3)
| ~ big_f(esk6_2(X4,esk3_1(esk4_1(X3))),X1)
| ~ big_f(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
big_f(esk6_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
~ big_d(esk7_2(X1,X2),X1,esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( big_d(esk7_2(X1,esk3_1(esk4_1(X2))),X3,X2)
| ~ big_f(esk2_0,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ big_f(esk2_0,X1),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
big_f(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n009.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 17:09:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.52/0.57 % Version : CSE_E---1.5
% 0.52/0.57 % Problem : theBenchmark.p
% 0.52/0.57 % Proof found
% 0.52/0.57 % SZS status Theorem for theBenchmark.p
% 0.52/0.57 % SZS output start Proof
% See solution above
% 0.52/0.57 % Total time : 0.004000 s
% 0.52/0.57 % SZS output end Proof
% 0.52/0.57 % Total time : 0.007000 s
%------------------------------------------------------------------------------