%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ031+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : Tue May 5 05:02:42 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 78 ( 23 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 245 ( 105 ~; 100 |; 24 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 110 ( 2 sgn 46 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_13,axiom,
! [X1,X3] :
( ( bird(X1)
& snail(X3) )
=> ~ eats(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(pel47_7,axiom,
! [X1] :
( animal(X1)
=> ( ! [X3] :
( plant(X3)
=> eats(X1,X3) )
| ! [X4] :
( ( animal(X4)
& much_smaller(X4,X1)
& ? [X5] :
( plant(X5)
& eats(X4,X5) ) )
=> eats(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(pel47_8,axiom,
! [X1,X3] :
( ( bird(X3)
& ( snail(X1)
| caterpillar(X1) ) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(pel47_3_1,axiom,
! [X1] :
( bird(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
fof(pel47_5_1,axiom,
! [X1] :
( snail(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_1) ).
fof(pel47_14,axiom,
! [X1] :
( ( caterpillar(X1)
| snail(X1) )
=> ? [X3] :
( plant(X3)
& eats(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14) ).
fof(pel47_6_2,axiom,
! [X2] :
( grain(X2)
=> plant(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).
fof(pel47_6_1,axiom,
? [X1] : grain(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_1) ).
fof(pel47_5_2,axiom,
? [X2] : snail(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_2) ).
fof(pel47_9,axiom,
! [X1,X3] :
( ( bird(X1)
& fox(X3) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(pel47_2_1,axiom,
! [X1] :
( fox(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
fof(pel47_3_2,axiom,
? [X2] : bird(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_2) ).
fof(pel47,conjecture,
? [X1,X3] :
( animal(X1)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(pel47_2_2,axiom,
? [X2] : fox(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_2) ).
fof(pel47_11,axiom,
! [X1,X3] :
( ( wolf(X1)
& ( fox(X3)
| grain(X3) ) )
=> ~ eats(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(pel47_10,axiom,
! [X1,X3] :
( ( fox(X1)
& wolf(X3) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(pel47_1_1,axiom,
! [X1] :
( wolf(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
fof(pel47_1_2,axiom,
? [X2] : wolf(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_2) ).
fof(c_0_18,plain,
! [X1,X3] :
( ( bird(X1)
& snail(X3) )
=> ~ eats(X1,X3) ),
inference(fof_simplification,[status(thm)],[pel47_13]) ).
fof(c_0_19,plain,
! [X51,X52,X53,X54] :
( ~ animal(X51)
| ~ plant(X52)
| eats(X51,X52)
| ~ animal(X53)
| ~ much_smaller(X53,X51)
| ~ plant(X54)
| ~ eats(X53,X54)
| eats(X51,X53) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_7])])]) ).
fof(c_0_20,plain,
! [X55,X56] :
( ( ~ snail(X55)
| ~ bird(X56)
| much_smaller(X55,X56) )
& ( ~ caterpillar(X55)
| ~ bird(X56)
| much_smaller(X55,X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_8])])]) ).
fof(c_0_21,plain,
! [X43] :
( ~ bird(X43)
| animal(X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_3_1])]) ).
fof(c_0_22,plain,
! [X47] :
( ~ snail(X47)
| animal(X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_5_1])]) ).
fof(c_0_23,plain,
! [X65,X66] :
( ~ bird(X65)
| ~ snail(X66)
| ~ eats(X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_24,plain,
( eats(X1,X2)
| eats(X1,X3)
| ~ animal(X1)
| ~ plant(X2)
| ~ animal(X3)
| ~ much_smaller(X3,X1)
| ~ plant(X4)
| ~ eats(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( much_smaller(X1,X2)
| ~ snail(X1)
| ~ bird(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( animal(X1)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( animal(X1)
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ bird(X1)
| ~ snail(X2)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X67] :
( ( plant(esk7_1(X67))
| ~ caterpillar(X67) )
& ( eats(X67,esk7_1(X67))
| ~ caterpillar(X67) )
& ( plant(esk7_1(X67))
| ~ snail(X67) )
& ( eats(X67,esk7_1(X67))
| ~ snail(X67) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_14])])])]) ).
fof(c_0_30,plain,
! [X50] :
( ~ grain(X50)
| plant(X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_6_2])]) ).
fof(c_0_31,plain,
grain(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_6_1])]) ).
cnf(c_0_32,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_33,plain,
( eats(X1,esk7_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( plant(esk7_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( plant(X1)
| ~ grain(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
grain(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
plant(esk6_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_39,plain,
snail(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_5_2])]) ).
fof(c_0_40,plain,
! [X57,X58] :
( ~ bird(X57)
| ~ fox(X58)
| much_smaller(X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_9])]) ).
fof(c_0_41,plain,
! [X41] :
( ~ fox(X41)
| animal(X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_2_1])]) ).
cnf(c_0_42,plain,
( eats(X1,esk6_0)
| ~ snail(X2)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
snail(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
bird(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_3_2])]) ).
fof(c_0_45,negated_conjecture,
~ ? [X1,X3] :
( animal(X1)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X1,X3) ) ),
inference(assume_negation,[status(cth)],[pel47]) ).
cnf(c_0_46,plain,
( much_smaller(X1,X2)
| ~ bird(X1)
| ~ fox(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( animal(X1)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( eats(X1,esk6_0)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
bird(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_50,negated_conjecture,
! [X69,X70,X71] :
( ~ animal(X69)
| ~ animal(X70)
| ~ grain(X71)
| ~ eats(X70,X71)
| ~ eats(X69,X70) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_51,plain,
fox(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_2_2])]) ).
fof(c_0_52,plain,
! [X1,X3] :
( ( wolf(X1)
& ( fox(X3)
| grain(X3) ) )
=> ~ eats(X1,X3) ),
inference(fof_simplification,[status(thm)],[pel47_11]) ).
cnf(c_0_53,plain,
( eats(X1,X2)
| eats(X1,X3)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ bird(X3)
| ~ fox(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_46]),c_0_47]),c_0_26]) ).
cnf(c_0_54,plain,
eats(esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( ~ animal(X1)
| ~ animal(X2)
| ~ grain(X3)
| ~ eats(X2,X3)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
animal(esk3_0),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_57,plain,
fox(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_58,plain,
! [X59,X60] :
( ~ fox(X59)
| ~ wolf(X60)
| much_smaller(X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_10])]) ).
fof(c_0_59,plain,
! [X39] :
( ~ wolf(X39)
| animal(X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_1_1])]) ).
fof(c_0_60,plain,
! [X61,X62] :
( ( ~ fox(X62)
| ~ wolf(X61)
| ~ eats(X61,X62) )
& ( ~ grain(X62)
| ~ wolf(X61)
| ~ eats(X61,X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_61,plain,
( eats(X1,esk3_0)
| eats(X1,X2)
| ~ plant(X2)
| ~ fox(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38]),c_0_49])]) ).
cnf(c_0_62,negated_conjecture,
( ~ eats(X1,esk3_0)
| ~ animal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_36]),c_0_56])]) ).
cnf(c_0_63,plain,
animal(esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_57]) ).
cnf(c_0_64,plain,
( much_smaller(X1,X2)
| ~ fox(X1)
| ~ wolf(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( animal(X1)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( ~ fox(X1)
| ~ wolf(X2)
| ~ eats(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
( eats(X1,esk6_0)
| eats(X1,esk3_0)
| ~ fox(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_38]) ).
cnf(c_0_68,negated_conjecture,
~ eats(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ fox(X3)
| ~ wolf(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_64]),c_0_65]),c_0_47]),c_0_66]) ).
cnf(c_0_70,plain,
eats(esk2_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_68]) ).
cnf(c_0_71,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ wolf(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_38]),c_0_57])]) ).
fof(c_0_72,plain,
wolf(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_1_2])]) ).
cnf(c_0_73,plain,
( eats(X1,esk6_0)
| ~ wolf(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_38]) ).
cnf(c_0_74,plain,
wolf(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_75,plain,
( ~ grain(X1)
| ~ wolf(X2)
| ~ eats(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_76,plain,
eats(esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_36]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ031+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:35:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------