TSTP Solution File: SYN059+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN059+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 01:49:23 EDT 2023
% Result : Theorem 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 249 ( 86 ~; 134 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 35 ( 2 sgn; 12 !; 2 ?; 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,
esk1_0: $i ).
tff(decl_27,type,
esk2_0: $i ).
tff(decl_28,type,
esk3_0: $i ).
tff(decl_29,type,
esk4_0: $i ).
tff(decl_30,type,
esk5_0: $i ).
tff(decl_31,type,
esk6_0: $i ).
fof(pel29,conjecture,
( ( ! [X1] :
( big_f(X1)
=> big_h(X1) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X2] :
( ( big_f(X4)
& big_g(X2) )
=> ( big_h(X4)
& big_j(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29) ).
fof(pel29_1,axiom,
? [X1] : big_f(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_1) ).
fof(pel29_2,axiom,
? [X2] : big_g(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_2) ).
fof(c_0_3,negated_conjecture,
~ ( ( ! [X1] :
( big_f(X1)
=> big_h(X1) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X2] :
( ( big_f(X4)
& big_g(X2) )
=> ( big_h(X4)
& big_j(X2) ) ) ),
inference(assume_negation,[status(cth)],[pel29]) ).
fof(c_0_4,negated_conjecture,
! [X11,X12,X13,X14] :
( ( big_f(esk5_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( big_g(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( big_f(esk5_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( big_g(esk6_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( big_f(esk5_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( big_g(esk6_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( big_f(esk5_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) )
& ( big_g(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) )
& ( big_h(X13)
| ~ big_f(X13)
| ~ big_g(X14)
| ~ big_f(X11)
| big_h(X11) )
& ( big_j(X14)
| ~ big_f(X13)
| ~ big_g(X14)
| ~ big_f(X11)
| big_h(X11) )
& ( big_h(X13)
| ~ big_f(X13)
| ~ big_g(X14)
| ~ big_g(X12)
| big_j(X12) )
& ( big_j(X14)
| ~ big_f(X13)
| ~ big_g(X14)
| ~ big_g(X12)
| big_j(X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_5,plain,
big_f(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel29_1])]) ).
cnf(c_0_6,negated_conjecture,
( big_j(X1)
| big_j(X3)
| ~ big_f(X2)
| ~ big_g(X1)
| ~ big_g(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
big_f(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
big_g(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel29_2])]) ).
cnf(c_0_9,negated_conjecture,
( big_j(X1)
| big_j(X2)
| ~ big_g(X2)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk5_0)
| big_g(esk4_0)
| big_f(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( big_f(esk5_0)
| big_f(esk3_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( big_h(X1)
| big_h(X3)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_f(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
big_g(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( big_j(X1)
| big_f(esk5_0)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( big_h(X1)
| big_h(X2)
| ~ big_f(X2)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( big_f(esk5_0)
| big_f(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( big_g(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| big_f(esk3_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( big_j(esk6_0)
| big_j(X1)
| big_g(esk4_0)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( big_g(esk4_0)
| big_f(esk3_0)
| ~ big_h(esk5_0)
| ~ big_j(esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
( big_h(esk5_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( big_j(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( big_g(esk4_0)
| big_f(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( big_j(esk4_0)
| big_j(X1)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( big_g(esk6_0)
| big_f(esk3_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( big_j(esk4_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( big_g(esk6_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( big_f(esk3_0)
| ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,negated_conjecture,
( big_j(esk6_0)
| big_j(X1)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( big_f(esk3_0)
| ~ big_j(esk4_0)
| ~ big_j(esk6_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
( big_j(esk6_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
big_f(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( big_f(esk5_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,negated_conjecture,
big_h(esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( big_f(esk5_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,negated_conjecture,
( big_g(esk4_0)
| big_f(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_38,negated_conjecture,
( big_f(esk5_0)
| ~ big_j(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_39,negated_conjecture,
( big_j(X1)
| big_f(esk5_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_37]),c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( big_g(esk6_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,negated_conjecture,
big_f(esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( big_g(esk6_0)
| big_g(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_35])]) ).
cnf(c_0_43,negated_conjecture,
( big_g(esk4_0)
| ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( big_j(esk6_0)
| big_j(X1)
| big_g(esk4_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( big_g(esk4_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_35])]) ).
cnf(c_0_47,negated_conjecture,
big_h(esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( big_j(esk6_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
big_g(esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]),c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,negated_conjecture,
( big_g(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,negated_conjecture,
( big_j(esk4_0)
| big_j(X1)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( ~ big_j(esk4_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_35])]) ).
cnf(c_0_54,negated_conjecture,
( big_g(esk6_0)
| ~ big_j(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_35])]) ).
cnf(c_0_55,negated_conjecture,
big_j(esk4_0),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( ~ big_j(esk4_0)
| ~ big_j(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_47])]) ).
cnf(c_0_57,negated_conjecture,
big_g(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_58,negated_conjecture,
~ big_j(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55])]) ).
cnf(c_0_59,negated_conjecture,
( big_j(X1)
| ~ big_g(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_57]),c_0_58]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN059+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 : n028.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 20:08:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.56 % Version : CSE_E---1.5
% 0.19/0.56 % Problem : theBenchmark.p
% 0.19/0.56 % Proof found
% 0.19/0.56 % SZS status Theorem for theBenchmark.p
% 0.19/0.56 % SZS output start Proof
% See solution above
% 0.19/0.56 % Total time : 0.007000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.010000 s
%------------------------------------------------------------------------------