%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:38 PM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 81 ( 23 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 235 ( 103 ~; 92 |; 22 &)
% ( 0 <=>; 18 =>; 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] :
( ( snail(X3)
& bird(X2) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(pel47_7,axiom,
! [X2] :
( animal(X2)
=> ( ! [X4] :
( ( ? [X5] :
( eats(X4,X5)
& plant(X5) )
& much_smaller(X4,X2)
& animal(X4) )
=> eats(X2,X4) )
| ! [X3] :
( plant(X3)
=> eats(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(pel47_8,axiom,
! [X3,X2] :
( ( snail(X2)
& bird(X3) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(pel47_3_1,axiom,
! [X2] :
( bird(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(pel47_4_2,axiom,
! [X2] :
( snail(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
fof(pel47_14a,axiom,
! [X2] :
( snail(X2)
=> ? [X3] :
( eats(X2,X3)
& plant(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(pel47_6_2,axiom,
! [X2] :
( grain(X2)
=> plant(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(grain_type,axiom,
? [X1] : grain(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(snail_type,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(pel47_9,axiom,
! [X2,X3] :
( ( fox(X3)
& bird(X2) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(pel47_2_1,axiom,
! [X2] :
( fox(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(bird_type,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(pel47,conjecture,
? [X2,X3] :
( ? [X5] :
( eats(X2,X3)
& eats(X3,X5)
& grain(X5) )
& animal(X3)
& animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(fox_type,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(pel47_11,axiom,
! [X2,X3] :
( ( fox(X3)
& wolf(X2) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(pel47_10,axiom,
! [X2,X3] :
( ( wolf(X3)
& fox(X2) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(pel47_1_1,axiom,
! [X2] :
( wolf(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(pel47_11a,axiom,
! [X2,X3] :
( ( grain(X3)
& wolf(X2) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(wolf_type,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(c_0_19,plain,
! [X2,X3] :
( ( snail(X3)
& bird(X2) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_13]) ).
fof(c_0_20,plain,
! [X18,X19,X20,X21] :
( eats(X18,X20)
| ~ eats(X20,X21)
| ~ plant(X21)
| ~ much_smaller(X20,X18)
| ~ animal(X20)
| eats(X18,X19)
| ~ plant(X19)
| ~ animal(X18) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_7])])])]) ).
fof(c_0_21,plain,
! [X22,X23] :
( much_smaller(X23,X22)
| ~ snail(X23)
| ~ bird(X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_8])])]) ).
fof(c_0_22,plain,
! [X13] :
( animal(X13)
| ~ bird(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_3_1])])]) ).
fof(c_0_23,plain,
! [X15] :
( animal(X15)
| ~ snail(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_4_2])])]) ).
fof(c_0_24,plain,
! [X36,X37] :
( ~ eats(X36,X37)
| ~ snail(X37)
| ~ bird(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_25,plain,
( ~ eats(X3,X4)
| ~ plant(X4)
| ~ much_smaller(X3,X1)
| ~ animal(X3)
| ~ plant(X2)
| ~ animal(X1)
| eats(X1,X3)
| eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ snail(X2)
| ~ bird(X1)
| much_smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ bird(X1)
| animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ snail(X1)
| animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( ~ eats(X1,X2)
| ~ snail(X2)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X40] :
( ( ~ snail(X40)
| eats(X40,esk8_1(X40)) )
& ( ~ snail(X40)
| plant(esk8_1(X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_14a])])])])]) ).
fof(c_0_31,plain,
! [X17] :
( plant(X17)
| ~ grain(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_6_2])])]) ).
fof(c_0_32,plain,
grain(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[grain_type])]) ).
cnf(c_0_33,plain,
( ~ bird(X1)
| ~ snail(X3)
| ~ plant(X2)
| ~ plant(X4)
| ~ eats(X3,X4)
| eats(X1,X2) ),
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,
( ~ snail(X1)
| eats(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( ~ snail(X1)
| plant(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ grain(X1)
| plant(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
grain(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( ~ bird(X1)
| ~ snail(X3)
| ~ plant(X2)
| eats(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
plant(esk6_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_40,plain,
snail(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[snail_type])]) ).
fof(c_0_41,plain,
! [X26,X27] :
( much_smaller(X26,X27)
| ~ fox(X27)
| ~ bird(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_9])])]) ).
fof(c_0_42,plain,
! [X12] :
( animal(X12)
| ~ fox(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_2_1])])]) ).
cnf(c_0_43,plain,
( ~ bird(X1)
| ~ snail(X2)
| eats(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
snail(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
bird(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[bird_type])]) ).
fof(c_0_46,negated_conjecture,
~ ? [X2,X3] :
( ? [X5] :
( eats(X2,X3)
& eats(X3,X5)
& grain(X5) )
& animal(X3)
& animal(X2) ),
inference(assume_negation,[status(cth)],[pel47]) ).
cnf(c_0_47,plain,
( ~ fox(X2)
| ~ bird(X1)
| much_smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( ~ fox(X1)
| animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( ~ bird(X1)
| eats(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
bird(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_51,negated_conjecture,
! [X42,X43,X44] :
( ~ eats(X42,X43)
| ~ eats(X43,X44)
| ~ grain(X44)
| ~ animal(X43)
| ~ animal(X42) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_52,plain,
fox(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fox_type])]) ).
fof(c_0_53,plain,
! [X2,X3] :
( ( fox(X3)
& wolf(X2) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_11]) ).
cnf(c_0_54,plain,
( ~ fox(X1)
| ~ bird(X2)
| ~ plant(X3)
| ~ plant(X4)
| ~ eats(X2,X4)
| eats(X1,X3)
| eats(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_47]),c_0_48]),c_0_27]) ).
cnf(c_0_55,plain,
eats(esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( ~ eats(X1,X2)
| ~ eats(X2,X3)
| ~ grain(X3)
| ~ animal(X2)
| ~ animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
animal(esk3_0),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_58,plain,
fox(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_59,plain,
! [X28,X29] :
( much_smaller(X28,X29)
| ~ wolf(X29)
| ~ fox(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_10])])]) ).
fof(c_0_60,plain,
! [X11] :
( animal(X11)
| ~ wolf(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_1_1])])]) ).
fof(c_0_61,plain,
! [X30,X31] :
( ~ eats(X30,X31)
| ~ fox(X31)
| ~ wolf(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_62,plain,
( ~ fox(X1)
| ~ plant(X2)
| eats(X1,X2)
| eats(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39]),c_0_50])]) ).
cnf(c_0_63,negated_conjecture,
( ~ animal(X1)
| ~ eats(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_37]),c_0_57])]) ).
cnf(c_0_64,plain,
animal(esk2_0),
inference(spm,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_65,plain,
( ~ wolf(X2)
| ~ fox(X1)
| much_smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( ~ wolf(X1)
| animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
( ~ eats(X1,X2)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( ~ fox(X1)
| eats(X1,esk3_0)
| eats(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_39]) ).
cnf(c_0_69,negated_conjecture,
~ eats(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
( ~ wolf(X1)
| ~ fox(X3)
| ~ plant(X2)
| ~ plant(X4)
| ~ eats(X3,X4)
| eats(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_65]),c_0_66]),c_0_48]),c_0_67]) ).
cnf(c_0_71,plain,
eats(esk2_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_58]),c_0_69]) ).
fof(c_0_72,plain,
! [X2,X3] :
( ( grain(X3)
& wolf(X2) )
=> ~ eats(X2,X3) ),
inference(fof_simplification,[status(thm)],[pel47_11a]) ).
cnf(c_0_73,plain,
( ~ wolf(X1)
| ~ plant(X2)
| eats(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_39]),c_0_58])]) ).
fof(c_0_74,plain,
wolf(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[wolf_type])]) ).
fof(c_0_75,plain,
! [X32,X33] :
( ~ eats(X32,X33)
| ~ grain(X33)
| ~ wolf(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
cnf(c_0_76,plain,
( ~ wolf(X1)
| eats(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_39]) ).
cnf(c_0_77,plain,
wolf(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_78,plain,
( ~ eats(X1,X2)
| ~ grain(X2)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_79,plain,
eats(esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
$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_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:49:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 492137 completed with status 0
% 0.15/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.44 % SubtermCWHack with pid 492141 completed with status 0
% 0.15/0.44 % Result found by SubtermCWHack
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Preprocessing time : 0.001 s
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Theorem
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 24
% 0.15/0.45 % Removed by relevancy pruning/SinE : 0
% 0.15/0.45 % Initial clauses : 26
% 0.15/0.45 % Removed in clause preprocessing : 0
% 0.15/0.45 % Initial clauses in saturation : 26
% 0.15/0.45 % Processed clauses : 100
% 0.15/0.45 % ...of these trivial : 0
% 0.15/0.45 % ...subsumed : 6
% 0.15/0.45 % ...remaining for further processing : 94
% 0.15/0.45 % Other redundant clauses eliminated : 0
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 14
% 0.15/0.45 % Backward-rewritten : 0
% 0.15/0.45 % Generated clauses : 105
% 0.15/0.45 % ...of the previous two non-redundant : 102
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 12
% 0.15/0.45 % Paramodulations : 105
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 0
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 20
% 0.15/0.45 % ...of those cached : 13
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 80
% 0.15/0.45 % Positive orientable unit clauses : 16
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 14
% 0.15/0.45 % Non-unit-clauses : 50
% 0.15/0.45 % Current number of unprocessed clauses: 24
% 0.15/0.45 % ...number of literals in the above : 145
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 14
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 336
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 121
% 0.15/0.45 % Non-unit clause-clause subsumptions : 27
% 0.15/0.45 % Unit Clause-clause subsumption calls : 240
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 0
% 0.15/0.45 % BW rewrite match successes : 0
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 3470
% 0.15/0.45 % Search garbage collected termcells : 378
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.009 s
% 0.15/0.45 % System time : 0.003 s
% 0.15/0.45 % Total time : 0.012 s
% 0.15/0.45 % Maximum resident set size: 3648 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.036 s
% 0.15/0.45 % System time : 0.014 s
% 0.15/0.45 % Total time : 0.050 s
% 0.15/0.45 % Maximum resident set size: 4608 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------