%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ031+3 : TPTP v9.2.1. Released v4.1.0.
% 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 : n024.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 05:02:43 PM UTC 2026
% Result : Theorem 1.11s 1.66s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 81 ( 21 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 238 ( 102 ~; 96 |; 21 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 116 ( 2 sgn 52 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_13,axiom,
! [X2,X3] :
( ( bird(X2)
& snail(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(pel47_7,axiom,
! [X2] :
( animal(X2)
=> ( ! [X3] :
( plant(X3)
=> eats(X2,X3) )
| ! [X4] :
( animal(X4)
=> ( ( much_smaller(X4,X2)
& ? [X5] :
( plant(X5)
& eats(X4,X5) ) )
=> eats(X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(pel47_8,axiom,
! [X3,X2] :
( ( bird(X3)
& snail(X2) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(bird_is_animal,axiom,
! [X1] :
( bird(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
fof(snail_is_animal,axiom,
! [X1] :
( snail(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).
fof(pel47_14a,axiom,
! [X2] :
( snail(X2)
=> ? [X3] :
( plant(X3)
& eats(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
fof(grain_is_plant,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).
fof(grain_type,axiom,
? [X1] : grain(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
fof(snail_type,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(pel47_9,axiom,
! [X2,X3] :
( ( bird(X2)
& fox(X3) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(fox_is_animal,axiom,
! [X1] :
( fox(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).
fof(bird_type,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(pel47_11,axiom,
! [X2,X3] :
( ( wolf(X2)
& fox(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(pel47_10,axiom,
! [X2,X3] :
( ( fox(X2)
& wolf(X3) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(wolf_is_animal,axiom,
! [X1] :
( wolf(X1)
=> animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(fox_type,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(pel47,conjecture,
? [X2,X3,X5] :
( animal(X2)
& animal(X3)
& grain(X5)
& eats(X3,X5)
& eats(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(wolf_type,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(pel47_11a,axiom,
! [X2,X3] :
( ( wolf(X2)
& grain(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
fof(c_0_19,plain,
! [X2,X3] :
( ( bird(X2)
& snail(X3) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_13]) ).
fof(c_0_20,plain,
! [X67,X68,X69,X70] :
( ~ animal(X67)
| ~ plant(X68)
| eats(X67,X68)
| ~ animal(X69)
| ~ much_smaller(X69,X67)
| ~ plant(X70)
| ~ eats(X69,X70)
| eats(X67,X69) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_7])])]) ).
fof(c_0_21,plain,
! [X71,X72] :
( ~ bird(X71)
| ~ snail(X72)
| much_smaller(X72,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_8])]) ).
fof(c_0_22,plain,
! [X58] :
( ~ bird(X58)
| animal(X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bird_is_animal])]) ).
fof(c_0_23,plain,
! [X62] :
( ~ snail(X62)
| animal(X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[snail_is_animal])]) ).
fof(c_0_24,plain,
! [X85,X86] :
( ~ bird(X85)
| ~ snail(X86)
| ~ eats(X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
cnf(c_0_25,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_20]) ).
cnf(c_0_26,plain,
( much_smaller(X2,X1)
| ~ bird(X1)
| ~ snail(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( animal(X1)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( animal(X1)
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( ~ bird(X1)
| ~ snail(X2)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X89] :
( ( plant(esk11_1(X89))
| ~ snail(X89) )
& ( eats(X89,esk11_1(X89))
| ~ snail(X89) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_14a])])])]) ).
fof(c_0_31,plain,
! [X66] :
( ~ grain(X66)
| plant(X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[grain_is_plant])]) ).
fof(c_0_32,plain,
grain(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[grain_type])]) ).
cnf(c_0_33,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_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
( eats(X1,esk11_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( plant(esk11_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( plant(X1)
| ~ grain(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
grain(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
plant(esk9_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_40,plain,
snail(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[snail_type])]) ).
fof(c_0_41,plain,
! [X75,X76] :
( ~ bird(X75)
| ~ fox(X76)
| much_smaller(X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_9])]) ).
fof(c_0_42,plain,
! [X56] :
( ~ fox(X56)
| animal(X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fox_is_animal])]) ).
cnf(c_0_43,plain,
( eats(X1,esk9_0)
| ~ snail(X2)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
snail(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
bird(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[bird_type])]) ).
cnf(c_0_46,plain,
( much_smaller(X1,X2)
| ~ bird(X1)
| ~ fox(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( animal(X1)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( eats(X1,esk9_0)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
bird(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_50,plain,
! [X2,X3] :
( ( wolf(X2)
& fox(X3) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_11]) ).
cnf(c_0_51,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_25,c_0_46]),c_0_47]),c_0_27]) ).
cnf(c_0_52,plain,
eats(esk5_0,esk9_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X77,X78] :
( ~ fox(X77)
| ~ wolf(X78)
| much_smaller(X77,X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_10])]) ).
fof(c_0_54,plain,
! [X54] :
( ~ wolf(X54)
| animal(X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[wolf_is_animal])]) ).
fof(c_0_55,plain,
! [X79,X80] :
( ~ wolf(X79)
| ~ fox(X80)
| ~ eats(X79,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
cnf(c_0_56,plain,
( eats(X1,esk5_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_51,c_0_52]),c_0_39]),c_0_49])]) ).
fof(c_0_57,plain,
fox(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fox_type])]) ).
cnf(c_0_58,plain,
( much_smaller(X1,X2)
| ~ fox(X1)
| ~ wolf(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( animal(X1)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( ~ wolf(X1)
| ~ fox(X2)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
( eats(X1,esk9_0)
| eats(X1,esk5_0)
| ~ fox(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_62,plain,
fox(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_63,negated_conjecture,
~ ? [X2,X3,X5] :
( animal(X2)
& animal(X3)
& grain(X5)
& eats(X3,X5)
& eats(X2,X3) ),
inference(assume_negation,[status(cth)],[pel47]) ).
cnf(c_0_64,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_25,c_0_58]),c_0_59]),c_0_47]),c_0_60]) ).
cnf(c_0_65,plain,
( eats(esk4_0,esk5_0)
| eats(esk4_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,negated_conjecture,
! [X91,X92,X93] :
( ~ animal(X91)
| ~ animal(X92)
| ~ grain(X93)
| ~ eats(X92,X93)
| ~ eats(X91,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
cnf(c_0_67,plain,
( eats(esk4_0,esk5_0)
| 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_64,c_0_65]),c_0_39]),c_0_62])]) ).
fof(c_0_68,plain,
wolf(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[wolf_type])]) ).
fof(c_0_69,plain,
! [X2,X3] :
( ( wolf(X2)
& grain(X3) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_11a]) ).
cnf(c_0_70,negated_conjecture,
( ~ animal(X1)
| ~ animal(X2)
| ~ grain(X3)
| ~ eats(X2,X3)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
animal(esk5_0),
inference(spm,[status(thm)],[c_0_27,c_0_49]) ).
cnf(c_0_72,plain,
( eats(esk4_0,esk5_0)
| eats(X1,esk9_0)
| ~ wolf(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_39]) ).
cnf(c_0_73,plain,
wolf(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_74,plain,
! [X81,X82] :
( ~ wolf(X81)
| ~ grain(X82)
| ~ eats(X81,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
cnf(c_0_75,negated_conjecture,
( ~ eats(X1,esk5_0)
| ~ animal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_37]),c_0_71])]) ).
cnf(c_0_76,plain,
( eats(esk3_0,esk9_0)
| eats(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
animal(esk4_0),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_78,plain,
( ~ wolf(X1)
| ~ grain(X2)
| ~ eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_79,negated_conjecture,
eats(esk3_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_37]),c_0_73])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PUZ031+3 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.08 % 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
% 0.05/0.29 % Computer : n024.cluster.edu
% 0.05/0.29 % Model : x86_64 x86_64
% 0.05/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.29 % Memory : 8042.1875MB
% 0.05/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.05/0.29 % CPULimit : 300
% 0.05/0.29 % WCLimit : 300
% 0.05/0.29 % DateTime : Mon May 4 20:33:26 EDT 2026
% 0.05/0.29 % CPUTime :
% 0.05/0.29 % start to proof: theBenchmark
% 1.11/1.66 % Version : CSE_E---1.7
% 1.11/1.66 % Problem : theBenchmark.p
% 1.11/1.66 % SZS status Theorem for theBenchmark.p
% 1.11/1.66 % SZS output start CNFRefutation
% See solution above
% 1.11/1.66 % Total time : 1.362s
%------------------------------------------------------------------------------