TSTP Solution File: PUZ005+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Thu Aug 31 13:11:29 EDT 2023
% Result : Theorem 0.23s 0.63s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 66 ( 4 unt; 21 typ; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 139 ( 62 ~; 48 |; 8 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 12 >; 2 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 52 ( 1 sgn; 29 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
a_monday: $i ).
tff(decl_23,type,
monday: $i > $o ).
tff(decl_24,type,
a_tuesday: $i ).
tff(decl_25,type,
tuesday: $i > $o ).
tff(decl_26,type,
a_wednesday: $i ).
tff(decl_27,type,
wednesday: $i > $o ).
tff(decl_28,type,
a_thursday: $i ).
tff(decl_29,type,
thursday: $i > $o ).
tff(decl_30,type,
a_friday: $i ).
tff(decl_31,type,
friday: $i > $o ).
tff(decl_32,type,
a_saturday: $i ).
tff(decl_33,type,
saturday: $i > $o ).
tff(decl_34,type,
a_sunday: $i ).
tff(decl_35,type,
sunday: $i > $o ).
tff(decl_36,type,
day: $i > $o ).
tff(decl_37,type,
yesterday: $i > $i ).
tff(decl_38,type,
lion_lies: $i > $o ).
tff(decl_39,type,
unicorn_lies: $i > $o ).
tff(decl_40,type,
a_lion: $i ).
tff(decl_41,type,
lies_on_one_of: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
a_unicorn: $i ).
fof(unicorn_lies_on_both,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
fof(prove_there_are_close_lying_days,conjecture,
? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(unicorn_lies_on_a_day,axiom,
! [X1] :
( unicorn_lies(X1)
=> day(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
fof(lion_lies_on_neither,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(unicorn_does_not_lie_wednesday,axiom,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(lion_lies_on_a_day,axiom,
! [X1] :
( lion_lies(X1)
=> day(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(thursday_follows_wednesday,axiom,
! [X1] :
( thursday(X1)
=> wednesday(yesterday(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(lion_lies_wednesday,axiom,
! [X1] :
( wednesday(X1)
=> lion_lies(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(lion_does_not_lie_thursday,axiom,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(unicorn_lies_thursday,axiom,
! [X1] :
( thursday(X1)
=> unicorn_lies(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(thursday,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday) ).
fof(c_0_11,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[unicorn_lies_on_both]) ).
fof(c_0_12,negated_conjecture,
~ ? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(assume_negation,[status(cth)],[prove_there_are_close_lying_days]) ).
fof(c_0_13,plain,
! [X47,X48] :
( ~ day(X47)
| ~ day(X48)
| ~ unicorn_lies(X47)
| lies_on_one_of(a_unicorn,X47,X48)
| unicorn_lies(X48) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_14,plain,
! [X32] :
( ~ unicorn_lies(X32)
| day(X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unicorn_lies_on_a_day])]) ).
fof(c_0_15,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[lion_lies_on_neither]) ).
fof(c_0_16,plain,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
inference(fof_simplification,[status(thm)],[unicorn_does_not_lie_wednesday]) ).
fof(c_0_17,negated_conjecture,
! [X49] :
( ~ day(X49)
| ~ lies_on_one_of(a_lion,X49,yesterday(X49))
| ~ lies_on_one_of(a_unicorn,X49,yesterday(X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_18,plain,
( lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2)
| ~ day(X1)
| ~ day(X2)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( day(X1)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X37,X38] :
( ~ day(X37)
| ~ day(X38)
| lion_lies(X37)
| lies_on_one_of(a_lion,X37,X38)
| ~ lion_lies(X38) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_21,plain,
! [X31] :
( ~ lion_lies(X31)
| day(X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lion_lies_on_a_day])]) ).
fof(c_0_22,plain,
! [X26] :
( ~ wednesday(X26)
| ~ unicorn_lies(X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_23,plain,
! [X13] :
( ~ thursday(X13)
| wednesday(yesterday(X13)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thursday_follows_wednesday])]) ).
cnf(c_0_24,negated_conjecture,
( ~ day(X1)
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2)
| ~ unicorn_lies(X1)
| ~ day(X2) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( lion_lies(X1)
| lies_on_one_of(a_lion,X1,X2)
| ~ day(X1)
| ~ day(X2)
| ~ lion_lies(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( day(X1)
| ~ lion_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X19] :
( ~ wednesday(X19)
| lion_lies(X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lion_lies_wednesday])]) ).
fof(c_0_29,plain,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
inference(fof_simplification,[status(thm)],[lion_does_not_lie_thursday]) ).
cnf(c_0_30,plain,
( ~ wednesday(X1)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( wednesday(yesterday(X1))
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( unicorn_lies(yesterday(X1))
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ unicorn_lies(X1)
| ~ day(yesterday(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]) ).
cnf(c_0_33,plain,
( lies_on_one_of(a_lion,X1,X2)
| lion_lies(X1)
| ~ lion_lies(X2)
| ~ day(X1) ),
inference(csr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( lion_lies(X1)
| ~ wednesday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,plain,
! [X27] :
( ~ thursday(X27)
| unicorn_lies(X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unicorn_lies_thursday])]) ).
fof(c_0_36,plain,
! [X20] :
( ~ thursday(X20)
| ~ lion_lies(X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_37,plain,
( ~ unicorn_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( unicorn_lies(yesterday(X1))
| lion_lies(X1)
| ~ unicorn_lies(X1)
| ~ lion_lies(yesterday(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_19]),c_0_27]) ).
cnf(c_0_39,plain,
( lion_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_40,plain,
( unicorn_lies(X1)
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( ~ thursday(X1)
| ~ lion_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
thursday(a_thursday),
inference(split_conjunct,[status(thm)],[thursday]) ).
cnf(c_0_43,negated_conjecture,
~ thursday(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_44,plain,
$false,
inference(sr,[status(thm)],[c_0_42,c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 22:09:32 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.60 start to proof: theBenchmark
% 0.23/0.63 % Version : CSE_E---1.5
% 0.23/0.63 % Problem : theBenchmark.p
% 0.23/0.63 % Proof found
% 0.23/0.63 % SZS status Theorem for theBenchmark.p
% 0.23/0.63 % SZS output start Proof
% See solution above
% 0.23/0.64 % Total time : 0.017000 s
% 0.23/0.64 % SZS output end Proof
% 0.23/0.64 % Total time : 0.020000 s
%------------------------------------------------------------------------------