TSTP Solution File: SYN057+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN057+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 : n025.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 01:49:22 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 28 ~; 16 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn; 10 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: $i > $o ).
tff(decl_23,type,
big_g: $i > $o ).
tff(decl_24,type,
big_h: $i > $o ).
tff(decl_25,type,
big_j: $i > $o ).
tff(decl_26,type,
big_i: $i > $o ).
tff(decl_27,type,
esk1_0: $i ).
tff(decl_28,type,
esk2_0: $i ).
fof(pel27_4,axiom,
( ? [X1] :
( big_h(X1)
& ~ big_g(X1) )
=> ! [X2] :
( big_i(X2)
=> ~ big_h(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_4) ).
fof(pel27,conjecture,
! [X1] :
( big_j(X1)
=> ~ big_i(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27) ).
fof(pel27_2,axiom,
! [X1] :
( big_f(X1)
=> big_h(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_2) ).
fof(pel27_3,axiom,
! [X1] :
( ( big_j(X1)
& big_i(X1) )
=> big_f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_3) ).
fof(pel27_1,axiom,
? [X1] :
( big_f(X1)
& ~ big_g(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_1) ).
fof(c_0_5,plain,
( ? [X1] :
( big_h(X1)
& ~ big_g(X1) )
=> ! [X2] :
( big_i(X2)
=> ~ big_h(X2) ) ),
inference(fof_simplification,[status(thm)],[pel27_4]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( big_j(X1)
=> ~ big_i(X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel27])]) ).
fof(c_0_7,plain,
! [X6,X7] :
( ~ big_h(X6)
| big_g(X6)
| ~ big_i(X7)
| ~ big_h(X7) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X4] :
( ~ big_f(X4)
| big_h(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel27_2])]) ).
fof(c_0_9,plain,
! [X5] :
( ~ big_j(X5)
| ~ big_i(X5)
| big_f(X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel27_3])]) ).
fof(c_0_10,negated_conjecture,
( big_j(esk2_0)
& big_i(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_11,plain,
? [X1] :
( big_f(X1)
& ~ big_g(X1) ),
inference(fof_simplification,[status(thm)],[pel27_1]) ).
cnf(c_0_12,plain,
( big_g(X1)
| ~ big_h(X1)
| ~ big_i(X2)
| ~ big_h(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( big_h(X1)
| ~ big_f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( big_f(X1)
| ~ big_j(X1)
| ~ big_i(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
big_j(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
big_i(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
( big_f(esk1_0)
& ~ big_g(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
cnf(c_0_18,plain,
( big_g(X1)
| ~ big_i(X2)
| ~ big_h(X1)
| ~ big_f(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
big_f(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,plain,
~ big_g(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( big_g(X1)
| ~ big_h(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
~ big_h(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
big_f(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN057+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:22:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.006000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.008000 s
%------------------------------------------------------------------------------