TSTP Solution File: PUZ061+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ061+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 13:12:26 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 124 ( 35 ~; 31 |; 39 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 6 >; 8 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 104 ( 28 sgn; 59 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
alive: $i > $o ).
tff(decl_23,type,
eats: ( $i * $i ) > $o ).
tff(decl_24,type,
likes: ( $i * $i ) > $o ).
tff(decl_25,type,
food: $i > $o ).
tff(decl_26,type,
not_killed_by: ( $i * $i ) > $o ).
tff(decl_27,type,
epred1_6: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
esk1_0: $i ).
tff(decl_29,type,
esk2_0: $i ).
tff(decl_30,type,
esk3_0: $i ).
tff(decl_31,type,
esk4_0: $i ).
tff(decl_32,type,
esk5_0: $i ).
tff(decl_33,type,
esk6_0: $i ).
fof(prove_this,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) )
=> likes(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
<=> ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> likes(X2,X1) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this]),c_0_1]) ).
fof(c_0_4,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( ~ alive(X22)
| ~ eats(X22,X18)
| likes(X22,X21)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( ~ food(X23)
| likes(X16,X23)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( food(X19)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( food(X18)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( ~ eats(X25,X24)
| ~ not_killed_by(X25,X24)
| food(X24)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( eats(X17,X15)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( alive(X17)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( ~ eats(X17,X26)
| eats(X20,X26)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) )
& ( ~ alive(X27)
| not_killed_by(X27,X28)
| ~ epred1_6(X20,X19,X18,X17,X16,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_5,negated_conjecture,
( epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0)
& ~ likes(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( food(X2)
| ~ eats(X1,X2)
| ~ not_killed_by(X1,X2)
| ~ epred1_6(X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( not_killed_by(X1,X2)
| ~ alive(X1)
| ~ epred1_6(X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( likes(X2,X1)
| ~ food(X1)
| ~ epred1_6(X3,X4,X5,X6,X2,X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( food(X1)
| ~ not_killed_by(X2,X1)
| ~ eats(X2,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( not_killed_by(X1,X2)
| ~ alive(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
( eats(X1,X2)
| ~ epred1_6(X3,X4,X5,X1,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( alive(X1)
| ~ epred1_6(X2,X3,X4,X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
~ likes(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( likes(esk2_0,X1)
| ~ food(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( food(X1)
| ~ eats(X2,X1)
| ~ alive(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
eats(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
alive(esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
~ food(esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ061+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 22:12:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.61 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.005000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.007000 s
%------------------------------------------------------------------------------