%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PHI044_1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:58:21 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.48s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 107 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 450 ( 104 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 524 ( 181 ~; 254 |; 66 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 166 ( 0 sgn 157 !; 9 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
option_set: $tType ).
tff(decl_sort2,type,
option: $tType ).
tff(decl_23,type,
subset: ( option_set * option_set ) > $o ).
tff(decl_24,type,
member: ( option_set * option ) > $o ).
tff(decl_25,type,
weakly_better: ( option_set * option_set ) > $o ).
tff(decl_26,type,
better: ( option_set * option_set ) > $o ).
tff(decl_27,type,
permitted_preference: ( option * option ) > $o ).
tff(decl_28,type,
required_preference: ( option * option ) > $o ).
tff(decl_29,type,
esk1_2: ( option_set * option_set ) > option ).
tff(decl_30,type,
esk2_4: ( option_set * ( option_set * ( option * option ) ) ) > option ).
tff(decl_31,type,
esk3_4: ( option_set * ( option_set * ( option * option ) ) ) > option ).
tff(decl_32,type,
esk4_3: ( option * ( option_set * option_set ) ) > option ).
tff(decl_33,type,
esk5_4: ( option_set * ( option_set * ( option * option ) ) ) > option ).
tff(decl_34,type,
esk6_4: ( option_set * ( option_set * ( option * option ) ) ) > option ).
tff(decl_35,type,
esk7_0: option ).
tff(decl_36,type,
esk8_0: option ).
tff(decl_37,type,
esk9_0: option ).
tff(decl_38,type,
esk10_0: option_set ).
tff(decl_39,type,
esk11_0: option_set ).
tff(decl_40,type,
esk12_0: option_set ).
tff(decl_41,type,
esk13_0: option_set ).
tff(value_of_rational_diversity,axiom,
! [X3: option,X6: option,X7: option_set,X8: option_set] :
( ( ! [X9: option] :
( member(X9,X8)
=> ( X9 = X3 ) )
& ! [X9: option] :
( member(X9,X7)
=> ( ( X9 = X6 )
| ( X9 = X3 ) ) )
& member(X3,X8)
& member(X6,X7)
& member(X3,X7)
& permitted_preference(X6,X3)
& permitted_preference(X3,X6) )
=> better(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_of_rational_diversity) ).
tff(existence_of_dominated_diversity,axiom,
? [X3: option,X17: option,X9: option,X1: option_set,X2: option_set,X18: option_set,X19: option_set] :
( ! [X23: option] :
( member(X23,X19)
<=> ( ( X23 = X9 )
| ( X23 = X17 )
| ( X23 = X3 ) ) )
& ! [X22: option] :
( member(X22,X18)
<=> ( ( X22 = X17 )
| ( X22 = X3 ) ) )
& ! [X21: option] :
( member(X21,X2)
<=> ( X21 = X9 ) )
& ! [X20: option] :
( member(X20,X1)
<=> ( X20 = X3 ) )
& member(X9,X19)
& member(X17,X19)
& member(X3,X19)
& member(X17,X18)
& member(X3,X18)
& member(X9,X2)
& member(X3,X1)
& required_preference(X9,X17)
& required_preference(X9,X3)
& permitted_preference(X17,X3)
& permitted_preference(X3,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_dominated_diversity) ).
tff(subset,axiom,
! [X1: option_set,X2: option_set] :
( subset(X1,X2)
<=> ! [X3: option] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
tff(harmlessness_of_expansions,axiom,
! [X13: option_set,X5: option_set] :
( subset(X13,X5)
=> weakly_better(X5,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',harmlessness_of_expansions) ).
tff(better,axiom,
! [X4: option_set,X5: option_set] :
( better(X4,X5)
<=> ( ~ weakly_better(X5,X4)
& weakly_better(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',better) ).
tff(transitivity_of_weakly_better_freedom_of_choice,axiom,
! [X15: option_set,X5: option_set,X16: option_set] :
( ( weakly_better(X5,X16)
& weakly_better(X15,X5) )
=> weakly_better(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_weakly_better_freedom_of_choice) ).
tff(parity_of_no_choice_situations,axiom,
! [X3: option,X14: option,X7: option_set,X8: option_set] :
( ( ! [X9: option] :
( member(X9,X8)
<=> ( X9 = X14 ) )
& ! [X9: option] :
( member(X9,X7)
<=> ( X9 = X3 ) ) )
=> ~ better(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parity_of_no_choice_situations) ).
tff(insignificance_of_dominated_options,axiom,
! [X10: option_set,X5: option_set] :
( ( ? [X11: option] :
( ! [X12: option] :
( ( ~ member(X12,X10)
& member(X12,X5) )
=> required_preference(X11,X12) )
& member(X11,X10) )
& subset(X10,X5) )
=> ~ better(X5,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insignificance_of_dominated_options) ).
tff(c_0_8,plain,
! [X32: option,X33: option,X34: option_set,X35: option_set] :
( ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| ( esk2_4(X32,X33,X34,X35) != X33 )
| ( esk3_4(X32,X33,X34,X35) != X32 ) )
& ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| ( esk2_4(X32,X33,X34,X35) != X33 )
| member(esk3_4(X32,X33,X34,X35),X35) )
& ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| ( esk2_4(X32,X33,X34,X35) != X32 )
| ( esk3_4(X32,X33,X34,X35) != X32 ) )
& ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| ( esk2_4(X32,X33,X34,X35) != X32 )
| member(esk3_4(X32,X33,X34,X35),X35) )
& ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| member(esk2_4(X32,X33,X34,X35),X34)
| ( esk3_4(X32,X33,X34,X35) != X32 ) )
& ( better(X34,X35)
| ~ member(X32,X35)
| ~ member(X33,X34)
| ~ member(X32,X34)
| ~ permitted_preference(X33,X32)
| ~ permitted_preference(X32,X33)
| member(esk2_4(X32,X33,X34,X35),X34)
| member(esk3_4(X32,X33,X34,X35),X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[value_of_rational_diversity])])])])]) ).
tff(c_0_9,plain,
! [X60: option,X61: option,X62: option,X63: option] :
( ( member(X63,esk13_0)
| ( X63 != esk9_0 ) )
& ( member(X63,esk13_0)
| ( X63 != esk8_0 ) )
& ( member(X63,esk13_0)
| ( X63 != esk7_0 ) )
& ( ( X63 = esk9_0 )
| ( X63 = esk8_0 )
| ( X63 = esk7_0 )
| ~ member(X63,esk13_0) )
& ( member(X62,esk12_0)
| ( X62 != esk8_0 ) )
& ( member(X62,esk12_0)
| ( X62 != esk7_0 ) )
& ( ( X62 = esk8_0 )
| ( X62 = esk7_0 )
| ~ member(X62,esk12_0) )
& ( member(X61,esk11_0)
| ( X61 != esk9_0 ) )
& ( ( X61 = esk9_0 )
| ~ member(X61,esk11_0) )
& ( member(X60,esk10_0)
| ( X60 != esk7_0 ) )
& ( ( X60 = esk7_0 )
| ~ member(X60,esk10_0) )
& member(esk9_0,esk13_0)
& member(esk8_0,esk13_0)
& member(esk7_0,esk13_0)
& member(esk8_0,esk12_0)
& member(esk7_0,esk12_0)
& member(esk9_0,esk11_0)
& member(esk7_0,esk10_0)
& required_preference(esk9_0,esk8_0)
& required_preference(esk9_0,esk7_0)
& permitted_preference(esk8_0,esk7_0)
& permitted_preference(esk7_0,esk8_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_of_dominated_diversity])])])])])]) ).
tcf(c_0_10,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| better(X1,X2)
| member(esk2_4(X3,X6,X1,X2),X1)
| member(esk3_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_11,plain,
permitted_preference(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_12,plain,
permitted_preference(esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tff(c_0_13,plain,
! [X24: option_set,X25: option_set,X26: option,X27: option_set,X28: option_set] :
( ( subset(X27,X28)
| ~ member(esk1_2(X27,X28),X28) )
& ( subset(X27,X28)
| member(esk1_2(X27,X28),X27) )
& ( member(X26,X25)
| ~ member(X26,X24)
| ~ subset(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
tcf(c_0_14,plain,
! [X2: option_set,X1: option_set] :
( ~ member(esk7_0,X1)
| ~ member(esk7_0,X2)
| ~ member(esk8_0,X1)
| member(esk2_4(esk7_0,esk8_0,X1,X2),X1)
| member(esk3_4(esk7_0,esk8_0,X1,X2),X2)
| better(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
tcf(c_0_15,plain,
member(esk8_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_16,plain,
member(esk7_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_17,plain,
! [X3: option] :
( ~ member(X3,esk12_0)
| ( X3 = esk8_0 )
| ( X3 = esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_18,plain,
! [X1: option_set,X2: option_set] :
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_19,plain,
! [X1: option_set] :
( ~ member(esk7_0,X1)
| member(esk3_4(esk7_0,esk8_0,esk12_0,X1),X1)
| member(esk2_4(esk7_0,esk8_0,esk12_0,X1),esk12_0)
| better(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
tcf(c_0_20,plain,
member(esk7_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_21,plain,
! [X1: option_set,X2: option_set] :
( ~ member(esk1_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_22,plain,
! [X1: option_set] :
( subset(esk12_0,X1)
| ( esk1_2(esk12_0,X1) = esk7_0 )
| ( esk1_2(esk12_0,X1) = esk8_0 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
tcf(c_0_23,plain,
! [X3: option] :
( ~ member(X3,esk11_0)
| ( X3 = esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_24,plain,
! [X3: option] :
( ~ member(X3,esk10_0)
| ( X3 = esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_25,plain,
( member(esk2_4(esk7_0,esk8_0,esk12_0,esk10_0),esk12_0)
| member(esk3_4(esk7_0,esk8_0,esk12_0,esk10_0),esk10_0)
| better(esk12_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
tcf(c_0_26,plain,
! [X1: option_set] :
( ~ member(esk8_0,X1)
| subset(esk12_0,X1)
| ( esk1_2(esk12_0,X1) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_27,plain,
member(esk8_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_28,plain,
! [X1: option_set] :
( subset(esk11_0,X1)
| ( esk1_2(esk11_0,X1) = esk9_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
tcf(c_0_29,plain,
! [X1: option_set] :
( subset(esk10_0,X1)
| ( esk1_2(esk10_0,X1) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
tcf(c_0_30,plain,
( member(esk2_4(esk7_0,esk8_0,esk12_0,esk10_0),esk12_0)
| better(esk12_0,esk10_0)
| ( esk3_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
tff(c_0_31,plain,
! [X42: option_set,X43: option_set] :
( weakly_better(X43,X42)
| ~ subset(X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[harmlessness_of_expansions])])]) ).
tcf(c_0_32,plain,
( subset(esk12_0,esk13_0)
| ( esk1_2(esk12_0,esk13_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
tcf(c_0_33,plain,
member(esk7_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tff(c_0_34,plain,
! [X4: option_set,X5: option_set] :
( better(X4,X5)
<=> ( ~ weakly_better(X5,X4)
& weakly_better(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[better]) ).
tcf(c_0_35,plain,
! [X1: option_set] :
( ~ member(esk9_0,X1)
| subset(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
tcf(c_0_36,plain,
member(esk9_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_37,plain,
! [X1: option_set] :
( ~ member(esk7_0,X1)
| subset(esk10_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
tcf(c_0_38,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| ( esk3_4(X3,X6,X1,X2) != X3 )
| better(X1,X2)
| member(esk2_4(X3,X6,X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_39,plain,
( better(esk12_0,esk10_0)
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 )
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk8_0 )
| ( esk3_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
tff(c_0_40,plain,
! [X50: option_set,X51: option_set,X52: option_set] :
( weakly_better(X50,X52)
| ~ weakly_better(X51,X52)
| ~ weakly_better(X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_weakly_better_freedom_of_choice])])]) ).
tcf(c_0_41,plain,
! [X1: option_set,X2: option_set] :
( ~ subset(X1,X2)
| weakly_better(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_42,plain,
subset(esk12_0,esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_33])]) ).
tff(c_0_43,plain,
! [X30: option_set,X31: option_set] :
( ( better(X30,X31)
| weakly_better(X31,X30)
| ~ weakly_better(X30,X31) )
& ( ~ better(X30,X31)
| ~ weakly_better(X31,X30) )
& ( ~ better(X30,X31)
| weakly_better(X30,X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
tcf(c_0_44,plain,
subset(esk11_0,esk13_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
tcf(c_0_45,plain,
subset(esk10_0,esk13_0),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
tcf(c_0_46,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| ( esk2_4(X3,X6,X1,X2) != X6 )
| better(X1,X2)
| member(esk3_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_47,plain,
( better(esk12_0,esk10_0)
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk8_0 )
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_11]),c_0_12]),c_0_15]),c_0_20]),c_0_16])]),c_0_17]) ).
tcf(c_0_48,plain,
! [X1: option_set,X2: option_set,X4: option_set] :
( ~ weakly_better(X2,X4)
| ~ weakly_better(X1,X2)
| weakly_better(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
tcf(c_0_49,plain,
weakly_better(esk13_0,esk12_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
tcf(c_0_50,plain,
! [X1: option_set,X2: option_set] :
( ~ weakly_better(X1,X2)
| better(X1,X2)
| weakly_better(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
tcf(c_0_51,plain,
weakly_better(esk13_0,esk11_0),
inference(spm,[status(thm)],[c_0_41,c_0_44]) ).
tcf(c_0_52,plain,
weakly_better(esk13_0,esk10_0),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
tcf(c_0_53,plain,
( member(esk3_4(esk7_0,esk8_0,esk12_0,esk10_0),esk10_0)
| better(esk12_0,esk10_0)
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_11]),c_0_12]),c_0_15]),c_0_20]),c_0_16])]) ).
tcf(c_0_54,plain,
! [X1: option_set] :
( ~ weakly_better(X1,esk13_0)
| weakly_better(X1,esk12_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
tcf(c_0_55,plain,
( weakly_better(esk11_0,esk13_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
tcf(c_0_56,plain,
! [X1: option_set] :
( ~ weakly_better(X1,esk13_0)
| weakly_better(X1,esk10_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
tcf(c_0_57,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| ( esk2_4(X3,X6,X1,X2) != X6 )
| ( esk3_4(X3,X6,X1,X2) != X3 )
| better(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_58,plain,
( better(esk12_0,esk10_0)
| ( esk3_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 )
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_53]) ).
tcf(c_0_59,plain,
( weakly_better(esk11_0,esk12_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
tcf(c_0_60,plain,
( weakly_better(esk11_0,esk10_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
tcf(c_0_61,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| ( esk2_4(X3,X6,X1,X2) != X3 )
| better(X1,X2)
| member(esk3_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_62,plain,
( better(esk12_0,esk10_0)
| ( esk2_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_11]),c_0_12]),c_0_15]),c_0_20]),c_0_16])]),c_0_47]) ).
tcf(c_0_63,plain,
! [X1: option_set] :
( ~ weakly_better(X1,esk11_0)
| weakly_better(X1,esk12_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_59]) ).
tcf(c_0_64,plain,
( weakly_better(esk10_0,esk11_0)
| better(esk11_0,esk10_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_60]) ).
tcf(c_0_65,plain,
( member(esk3_4(esk7_0,esk8_0,esk12_0,esk10_0),esk10_0)
| better(esk12_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_11]),c_0_12]),c_0_15]),c_0_20]),c_0_16])]) ).
tff(c_0_66,plain,
! [X3: option,X14: option,X7: option_set,X8: option_set] :
( ( ! [X9: option] :
( member(X9,X8)
<=> ( X9 = X14 ) )
& ! [X9: option] :
( member(X9,X7)
<=> ( X9 = X3 ) ) )
=> ~ better(X7,X8) ),
inference(fof_simplification,[status(thm)],[parity_of_no_choice_situations]) ).
tcf(c_0_67,plain,
! [X2: option_set,X1: option_set] :
( ~ better(X2,X1)
| ~ weakly_better(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
tcf(c_0_68,plain,
( weakly_better(esk10_0,esk12_0)
| better(esk13_0,esk11_0)
| better(esk11_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
tcf(c_0_69,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ member(X3,X2)
| ~ member(X6,X1)
| ~ member(X3,X1)
| ~ permitted_preference(X6,X3)
| ~ permitted_preference(X3,X6)
| ( esk2_4(X3,X6,X1,X2) != X3 )
| ( esk3_4(X3,X6,X1,X2) != X3 )
| better(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_70,plain,
( better(esk12_0,esk10_0)
| ( esk3_4(esk7_0,esk8_0,esk12_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_65]) ).
tff(c_0_71,plain,
! [X44: option,X45: option,X46: option_set,X47: option_set] :
( ( ~ better(X46,X47)
| ( esk5_4(X44,X45,X46,X47) = X44 )
| member(esk5_4(X44,X45,X46,X47),X46)
| ( esk6_4(X44,X45,X46,X47) = X45 )
| member(esk6_4(X44,X45,X46,X47),X47) )
& ( ~ better(X46,X47)
| ( esk5_4(X44,X45,X46,X47) = X44 )
| member(esk5_4(X44,X45,X46,X47),X46)
| ( esk6_4(X44,X45,X46,X47) != X45 )
| ~ member(esk6_4(X44,X45,X46,X47),X47) )
& ( ~ better(X46,X47)
| ( esk5_4(X44,X45,X46,X47) != X44 )
| ~ member(esk5_4(X44,X45,X46,X47),X46)
| ( esk6_4(X44,X45,X46,X47) = X45 )
| member(esk6_4(X44,X45,X46,X47),X47) )
& ( ~ better(X46,X47)
| ( esk5_4(X44,X45,X46,X47) != X44 )
| ~ member(esk5_4(X44,X45,X46,X47),X46)
| ( esk6_4(X44,X45,X46,X47) != X45 )
| ~ member(esk6_4(X44,X45,X46,X47),X47) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])])]) ).
tcf(c_0_72,plain,
( ~ better(esk12_0,esk10_0)
| better(esk11_0,esk10_0)
| better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
tcf(c_0_73,plain,
better(esk12_0,esk10_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_11]),c_0_12]),c_0_15]),c_0_20]),c_0_16])]),c_0_62]) ).
tcf(c_0_74,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ better(X1,X2)
| ( esk5_4(X3,X6,X1,X2) = X3 )
| member(esk5_4(X3,X6,X1,X2),X1)
| ( esk6_4(X3,X6,X1,X2) = X6 )
| member(esk6_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
tcf(c_0_75,plain,
( better(esk13_0,esk11_0)
| better(esk11_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
tcf(c_0_76,plain,
! [X3: option,X6: option] :
( member(esk5_4(X3,X6,esk11_0,esk10_0),esk11_0)
| member(esk6_4(X3,X6,esk11_0,esk10_0),esk10_0)
| better(esk13_0,esk11_0)
| ( esk5_4(X3,X6,esk11_0,esk10_0) = X3 )
| ( esk6_4(X3,X6,esk11_0,esk10_0) = X6 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
tcf(c_0_77,plain,
! [X3: option,X6: option] :
( member(esk5_4(X3,X6,esk11_0,esk10_0),esk11_0)
| better(esk13_0,esk11_0)
| ( esk6_4(X3,X6,esk11_0,esk10_0) = X6 )
| ( esk5_4(X3,X6,esk11_0,esk10_0) = X3 )
| ( esk6_4(X3,X6,esk11_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_76]) ).
tcf(c_0_78,plain,
! [X6: option,X3: option] :
( better(esk13_0,esk11_0)
| ( esk5_4(X3,X6,esk11_0,esk10_0) = X3 )
| ( esk6_4(X3,X6,esk11_0,esk10_0) = X6 )
| ( esk5_4(X3,X6,esk11_0,esk10_0) = esk9_0 )
| ( esk6_4(X3,X6,esk11_0,esk10_0) = esk7_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_77]) ).
tcf(c_0_79,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ better(X1,X2)
| ( esk6_4(X3,X6,X1,X2) != X6 )
| ~ member(esk6_4(X3,X6,X1,X2),X2)
| ( esk5_4(X3,X6,X1,X2) = X3 )
| member(esk5_4(X3,X6,X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
tcf(c_0_80,plain,
! [X3: option] :
( better(esk13_0,esk11_0)
| ( esk5_4(X3,esk7_0,esk11_0,esk10_0) = X3 )
| ( esk5_4(X3,esk7_0,esk11_0,esk10_0) = esk9_0 )
| ( esk6_4(X3,esk7_0,esk11_0,esk10_0) = esk7_0 ) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_78])]) ).
tcf(c_0_81,plain,
! [X3: option] :
( better(esk13_0,esk11_0)
| ( esk5_4(X3,esk7_0,esk11_0,esk10_0) = X3 )
| ( esk5_4(X3,esk7_0,esk11_0,esk10_0) = esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_20])]),c_0_75]),c_0_23]) ).
tff(c_0_82,plain,
! [X10: option_set,X5: option_set] :
( ( ? [X11: option] :
( ! [X12: option] :
( ( ~ member(X12,X10)
& member(X12,X5) )
=> required_preference(X11,X12) )
& member(X11,X10) )
& subset(X10,X5) )
=> ~ better(X5,X10) ),
inference(fof_simplification,[status(thm)],[insignificance_of_dominated_options]) ).
tcf(c_0_83,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ better(X1,X2)
| ( esk5_4(X3,X6,X1,X2) != X3 )
| ~ member(esk5_4(X3,X6,X1,X2),X1)
| ( esk6_4(X3,X6,X1,X2) = X6 )
| member(esk6_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
tcf(c_0_84,plain,
( better(esk13_0,esk11_0)
| ( esk5_4(esk9_0,esk7_0,esk11_0,esk10_0) = esk9_0 ) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_81])]) ).
tcf(c_0_85,plain,
member(esk9_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tff(c_0_86,plain,
! [X38: option_set,X39: option_set,X40: option] :
( ( ~ better(X39,X38)
| ~ subset(X38,X39)
| ~ member(X40,X38)
| ~ required_preference(X40,esk4_3(X38,X39,X40)) )
& ( ~ better(X39,X38)
| ~ subset(X38,X39)
| ~ member(X40,X38)
| ~ member(esk4_3(X38,X39,X40),X38) )
& ( ~ better(X39,X38)
| ~ subset(X38,X39)
| ~ member(X40,X38)
| member(esk4_3(X38,X39,X40),X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])])])]) ).
tcf(c_0_87,plain,
! [X1: option_set,X6: option,X3: option,X2: option_set] :
( ~ better(X1,X2)
| ( esk5_4(X3,X6,X1,X2) != X3 )
| ~ member(esk5_4(X3,X6,X1,X2),X1)
| ( esk6_4(X3,X6,X1,X2) != X6 )
| ~ member(esk6_4(X3,X6,X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
tcf(c_0_88,plain,
( better(esk13_0,esk11_0)
| ( esk6_4(esk9_0,esk7_0,esk11_0,esk10_0) = esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),c_0_75]),c_0_24]) ).
tcf(c_0_89,plain,
! [X3: option,X2: option_set,X1: option_set] :
( ~ better(X2,X1)
| ~ subset(X1,X2)
| ~ member(X3,X1)
| member(esk4_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
tcf(c_0_90,plain,
( ~ member(esk5_4(esk9_0,esk7_0,esk11_0,esk10_0),esk11_0)
| better(esk13_0,esk11_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_20])]),c_0_75]),c_0_23]) ).
tcf(c_0_91,plain,
! [X3: option,X2: option_set,X1: option_set] :
( ~ better(X2,X1)
| ~ subset(X1,X2)
| ~ member(X3,X1)
| ~ member(esk4_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
tcf(c_0_92,plain,
! [X3: option] :
( ~ member(X3,esk11_0)
| ~ better(esk13_0,esk11_0)
| member(esk4_3(esk11_0,esk13_0,X3),esk13_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_44]) ).
tcf(c_0_93,plain,
better(esk13_0,esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_84]),c_0_85])]) ).
tcf(c_0_94,plain,
! [X3: option] :
( ~ member(X3,esk11_0)
| ~ member(esk4_3(esk11_0,esk13_0,X3),esk11_0)
| ~ better(esk13_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_44]) ).
tcf(c_0_95,plain,
! [X3: option] :
( ~ member(X3,esk11_0)
| member(esk4_3(esk11_0,esk13_0,X3),esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
tcf(c_0_96,plain,
! [X3: option] :
( ~ member(X3,esk11_0)
| ~ member(esk4_3(esk11_0,esk13_0,X3),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_93])]) ).
tcf(c_0_97,plain,
! [X3: option] :
( ~ member(X3,esk13_0)
| ( X3 = esk9_0 )
| ( X3 = esk8_0 )
| ( X3 = esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_98,plain,
member(esk4_3(esk11_0,esk13_0,esk9_0),esk13_0),
inference(spm,[status(thm)],[c_0_95,c_0_85]) ).
tcf(c_0_99,plain,
~ member(esk4_3(esk11_0,esk13_0,esk9_0),esk11_0),
inference(spm,[status(thm)],[c_0_96,c_0_85]) ).
tcf(c_0_100,plain,
( ( esk4_3(esk11_0,esk13_0,esk9_0) = esk7_0 )
| ( esk4_3(esk11_0,esk13_0,esk9_0) = esk8_0 )
| ( esk4_3(esk11_0,esk13_0,esk9_0) = esk9_0 ) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
tcf(c_0_101,plain,
! [X3: option,X2: option_set,X1: option_set] :
( ~ better(X2,X1)
| ~ subset(X1,X2)
| ~ member(X3,X1)
| ~ required_preference(X3,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
tcf(c_0_102,plain,
( ( esk4_3(esk11_0,esk13_0,esk9_0) = esk8_0 )
| ( esk4_3(esk11_0,esk13_0,esk9_0) = esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_85])]) ).
tcf(c_0_103,plain,
required_preference(esk9_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_104,plain,
esk4_3(esk11_0,esk13_0,esk9_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_93]),c_0_85]),c_0_44])]) ).
tcf(c_0_105,plain,
required_preference(esk9_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_106,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_104]),c_0_105]),c_0_93]),c_0_85]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI044_1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:29:21 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.41/0.48 % Version: 3.5.1
% 0.41/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.41/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.41/0.48 % Starting sh5l with 300s (1) cores
% 0.41/0.48 % sh5l with pid 78813 completed with status 9
% 0.41/0.48 % new_bool_1 with pid 78812 completed with status 9
% 0.41/0.48 % new_bool_3 with pid 78811 completed with status 9
% 0.41/0.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 78810 completed with status 0
% 0.41/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.41/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.48 % No SInE strategy applied
% 0.41/0.48 % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.41/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.41/0.48 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.41/0.48 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.41/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.41/0.48 % new_bool_3 with pid 78830 completed with status 0
% 0.41/0.48 % Result found by new_bool_3
% 0.41/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.48 % No SInE strategy applied
% 0.41/0.48 % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.41/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.41/0.48 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.41/0.48 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.41/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.41/0.48 % Preprocessing time : 0.002 s
% 0.41/0.48 % Presaturation interreduction done
% 0.41/0.48
% 0.41/0.48 % Proof found!
% 0.41/0.48 % SZS status Unsatisfiable
% 0.41/0.48 % SZS output start CNFRefutation
% See solution above
% 0.41/0.48 % Parsed axioms : 16
% 0.41/0.48 % Removed by relevancy pruning/SinE : 0
% 0.41/0.48 % Initial clauses : 51
% 0.41/0.48 % Removed in clause preprocessing : 8
% 0.41/0.48 % Initial clauses in saturation : 43
% 0.41/0.48 % Processed clauses : 656
% 0.41/0.48 % ...of these trivial : 1
% 0.41/0.48 % ...subsumed : 274
% 0.41/0.48 % ...remaining for further processing : 381
% 0.41/0.48 % Other redundant clauses eliminated : 13
% 0.41/0.48 % Clauses deleted for lack of memory : 0
% 0.41/0.48 % Backward-subsumed : 44
% 0.41/0.48 % Backward-rewritten : 103
% 0.41/0.48 % Generated clauses : 934
% 0.41/0.48 % ...of the previous two non-redundant : 627
% 0.41/0.48 % ...aggressively subsumed : 0
% 0.41/0.48 % Contextual simplify-reflections : 13
% 0.41/0.48 % Paramodulations : 891
% 0.41/0.48 % Factorizations : 30
% 0.41/0.48 % NegExts : 0
% 0.41/0.48 % Equation resolutions : 13
% 0.41/0.48 % Disequality decompositions : 0
% 0.41/0.48 % Total rewrite steps : 617
% 0.41/0.48 % ...of those cached : 582
% 0.41/0.48 % Propositional unsat checks : 0
% 0.41/0.48 % Propositional check models : 0
% 0.41/0.48 % Propositional check unsatisfiable : 0
% 0.41/0.48 % Propositional clauses : 0
% 0.41/0.48 % Propositional clauses after purity: 0
% 0.41/0.48 % Propositional unsat core size : 0
% 0.41/0.48 % Propositional preprocessing time : 0.000
% 0.41/0.48 % Propositional encoding time : 0.000
% 0.41/0.48 % Propositional solver time : 0.000
% 0.41/0.48 % Success case prop preproc time : 0.000
% 0.41/0.48 % Success case prop encoding time : 0.000
% 0.41/0.48 % Success case prop solver time : 0.000
% 0.41/0.48 % Current number of processed clauses : 191
% 0.41/0.48 % Positive orientable unit clauses : 28
% 0.41/0.48 % Positive unorientable unit clauses: 0
% 0.41/0.48 % Negative unit clauses : 7
% 0.41/0.48 % Non-unit-clauses : 156
% 0.41/0.48 % Current number of unprocessed clauses: 37
% 0.41/0.48 % ...number of literals in the above : 190
% 0.41/0.48 % Current number of archived formulas : 0
% 0.41/0.48 % Current number of archived clauses : 183
% 0.41/0.48 % Clause-clause subsumption calls (NU) : 20832
% 0.41/0.48 % Rec. Clause-clause subsumption calls : 6022
% 0.41/0.48 % Non-unit clause-clause subsumptions : 324
% 0.41/0.48 % Unit Clause-clause subsumption calls : 466
% 0.41/0.48 % Rewrite failures with RHS unbound : 0
% 0.41/0.48 % BW rewrite match attempts : 17
% 0.41/0.48 % BW rewrite match successes : 6
% 0.41/0.48 % Condensation attempts : 0
% 0.41/0.48 % Condensation successes : 0
% 0.41/0.48 % Termbank termtop insertions : 18301
% 0.41/0.48 % Search garbage collected termcells : 723
% 0.41/0.48
% 0.41/0.48 % -------------------------------------------------
% 0.41/0.48 % User time : 0.050 s
% 0.41/0.48 % System time : 0.006 s
% 0.41/0.48 % Total time : 0.055 s
% 0.41/0.48 % Maximum resident set size: 3660 pages
% 0.41/0.48
% 0.41/0.48 % -------------------------------------------------
% 0.41/0.48 % User time : 0.280 s
% 0.41/0.48 % System time : 0.049 s
% 0.41/0.48 % Total time : 0.329 s
% 0.41/0.48 % Maximum resident set size: 4608 pages
% 0.41/0.48 % E exiting
%------------------------------------------------------------------------------