TSTP Solution File: SET795+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET795+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:23:58 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 404 ( 27 equ)
% Maximal formula atoms : 256 ( 10 avg)
% Number of connectives : 478 ( 112 ~; 247 |; 99 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 122 ( 3 sgn; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(upper_bound,axiom,
! [X6,X4,X8] :
( upper_bound(X8,X6,X4)
<=> ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p',upper_bound) ).
fof(least_upper_bound,axiom,
! [X1,X3,X6,X4] :
( least_upper_bound(X1,X3,X6,X4)
<=> ( member(X1,X3)
& upper_bound(X1,X6,X3)
& ! [X8] :
( ( member(X8,X4)
& upper_bound(X8,X6,X3) )
=> apply(X6,X1,X8) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p',least_upper_bound) ).
fof(unordered_pair,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( X3 = X1
| X3 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p',unordered_pair) ).
fof(thIV7,conjecture,
! [X6,X4,X1,X2] :
( ( order(X6,X4)
& member(X1,X4)
& member(X2,X4)
& apply(X6,X1,X2) )
=> least_upper_bound(X2,unordered_pair(X1,X2),X6,X4) ),
file('/export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p',thIV7) ).
fof(order,axiom,
! [X6,X4] :
( order(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p',order) ).
fof(c_0_5,plain,
! [X28,X29,X30,X31,X32,X33,X34] :
( ( ~ upper_bound(X30,X28,X29)
| ~ member(X31,X29)
| apply(X28,X31,X30) )
& ( member(esk6_3(X32,X33,X34),X33)
| upper_bound(X34,X32,X33) )
& ( ~ apply(X32,esk6_3(X32,X33,X34),X34)
| upper_bound(X34,X32,X33) ) ),
inference(distribute,[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)],[upper_bound])])])])])]) ).
fof(c_0_6,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( member(X13,X14)
| ~ least_upper_bound(X13,X14,X15,X16) )
& ( upper_bound(X13,X15,X14)
| ~ least_upper_bound(X13,X14,X15,X16) )
& ( ~ member(X17,X16)
| ~ upper_bound(X17,X15,X14)
| apply(X15,X13,X17)
| ~ least_upper_bound(X13,X14,X15,X16) )
& ( member(esk5_4(X18,X19,X20,X21),X21)
| ~ member(X18,X19)
| ~ upper_bound(X18,X20,X19)
| least_upper_bound(X18,X19,X20,X21) )
& ( upper_bound(esk5_4(X18,X19,X20,X21),X20,X19)
| ~ member(X18,X19)
| ~ upper_bound(X18,X20,X19)
| least_upper_bound(X18,X19,X20,X21) )
& ( ~ apply(X20,X18,esk5_4(X18,X19,X20,X21))
| ~ member(X18,X19)
| ~ upper_bound(X18,X20,X19)
| least_upper_bound(X18,X19,X20,X21) ) ),
inference(distribute,[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)],[least_upper_bound])])])])])]) ).
fof(c_0_7,plain,
! [X23,X24,X25] :
( ( ~ member(X23,unordered_pair(X24,X25))
| X23 = X24
| X23 = X25 )
& ( X23 != X24
| member(X23,unordered_pair(X24,X25)) )
& ( X23 != X25
| member(X23,unordered_pair(X24,X25)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair])])]) ).
fof(c_0_8,plain,
! [X4,X6] :
( epred1_2(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
introduced(definition) ).
fof(c_0_9,negated_conjecture,
~ ! [X6,X4,X1,X2] :
( ( order(X6,X4)
& member(X1,X4)
& member(X2,X4)
& apply(X6,X1,X2) )
=> least_upper_bound(X2,unordered_pair(X1,X2),X6,X4) ),
inference(assume_negation,[status(cth)],[thIV7]) ).
cnf(c_0_10,plain,
( apply(X2,X4,X1)
| ~ upper_bound(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( upper_bound(esk5_4(X1,X2,X3,X4),X3,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( member(esk6_3(X1,X2,X3),X2)
| upper_bound(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,axiom,
! [X6,X4] :
( order(X6,X4)
<=> epred1_2(X6,X4) ),
inference(apply_def,[status(thm)],[order,c_0_8]) ).
fof(c_0_15,negated_conjecture,
( order(esk1_0,esk2_0)
& member(esk3_0,esk2_0)
& member(esk4_0,esk2_0)
& apply(esk1_0,esk3_0,esk4_0)
& ~ least_upper_bound(esk4_0,unordered_pair(esk3_0,esk4_0),esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_16,plain,
( least_upper_bound(X2,X3,X1,X4)
| ~ apply(X1,X2,esk5_4(X2,X3,X1,X4))
| ~ member(X2,X3)
| ~ upper_bound(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( least_upper_bound(X1,X2,X3,X4)
| apply(X3,X5,esk5_4(X1,X2,X3,X4))
| ~ upper_bound(X1,X3,X2)
| ~ member(X5,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( member(X1,unordered_pair(X3,X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( upper_bound(X3,X1,X2)
| ~ apply(X1,esk6_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( esk6_3(X1,unordered_pair(X2,X3),X4) = X2
| esk6_3(X1,unordered_pair(X2,X3),X4) = X3
| upper_bound(X4,X1,unordered_pair(X2,X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_21,plain,
! [X26,X27] :
( ( ~ order(X26,X27)
| epred1_2(X26,X27) )
& ( ~ epred1_2(X26,X27)
| order(X26,X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
~ least_upper_bound(esk4_0,unordered_pair(esk3_0,esk4_0),esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X1,X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
member(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( esk6_3(X1,unordered_pair(X2,X3),X4) = X2
| upper_bound(X4,X1,unordered_pair(X2,X3))
| ~ apply(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_26,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( ( ~ member(X38,X36)
| apply(X37,X38,X38)
| ~ epred1_2(X37,X36) )
& ( ~ member(X39,X36)
| ~ member(X40,X36)
| ~ apply(X37,X39,X40)
| ~ apply(X37,X40,X39)
| X39 = X40
| ~ epred1_2(X37,X36) )
& ( ~ member(X41,X36)
| ~ member(X42,X36)
| ~ member(X43,X36)
| ~ apply(X37,X41,X42)
| ~ apply(X37,X42,X43)
| apply(X37,X41,X43)
| ~ epred1_2(X37,X36) )
& ( member(esk10_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| member(esk7_2(X44,X45),X44)
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| member(esk8_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| member(esk9_2(X44,X45),X44)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk8_2(X44,X45),esk9_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| apply(X45,esk9_2(X44,X45),esk8_2(X44,X45))
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk10_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk11_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( member(esk12_2(X44,X45),X44)
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk10_2(X44,X45),esk11_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( apply(X45,esk11_2(X44,X45),esk12_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) )
& ( ~ apply(X45,esk10_2(X44,X45),esk12_2(X44,X45))
| esk8_2(X44,X45) != esk9_2(X44,X45)
| ~ apply(X45,esk7_2(X44,X45),esk7_2(X44,X45))
| epred1_2(X45,X44) ) ),
inference(distribute,[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)],[c_0_8])])])])])]) ).
cnf(c_0_27,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
order(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
~ upper_bound(esk4_0,esk1_0,unordered_pair(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_30,plain,
( upper_bound(X1,X2,unordered_pair(X3,X4))
| ~ apply(X2,X3,X1)
| ~ apply(X2,X4,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
apply(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( apply(X3,X1,X1)
| ~ member(X1,X2)
| ~ epred1_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
epred1_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
~ apply(esk1_0,esk4_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk1_0,X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
member(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET795+4 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Oct 2 17:08:22 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.p2P3IAdKVB/E---3.1_8338.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # new_bool_1 with pid 8424 completed with status 0
% 0.17/0.46 # Result found by new_bool_1
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSF-FFLS32-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46 # SAT001_MinMin_p005000_rr_RG with pid 8426 completed with status 0
% 0.17/0.46 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSF-FFLS32-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Theorem
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 22
% 0.17/0.46 # Removed by relevancy pruning/SinE : 17
% 0.17/0.46 # Initial clauses : 82
% 0.17/0.46 # Removed in clause preprocessing : 0
% 0.17/0.46 # Initial clauses in saturation : 82
% 0.17/0.46 # Processed clauses : 211
% 0.17/0.46 # ...of these trivial : 0
% 0.17/0.46 # ...subsumed : 5
% 0.17/0.46 # ...remaining for further processing : 206
% 0.17/0.46 # Other redundant clauses eliminated : 4
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 5
% 0.17/0.46 # Backward-rewritten : 0
% 0.17/0.46 # Generated clauses : 220
% 0.17/0.46 # ...of the previous two non-redundant : 195
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 1
% 0.17/0.46 # Paramodulations : 214
% 0.17/0.46 # Factorizations : 2
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 4
% 0.17/0.46 # Total rewrite steps : 12
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 117
% 0.17/0.46 # Positive orientable unit clauses : 7
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 3
% 0.17/0.46 # Non-unit-clauses : 107
% 0.17/0.46 # Current number of unprocessed clauses: 148
% 0.17/0.46 # ...number of literals in the above : 1070
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 87
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 3544
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 1315
% 0.17/0.46 # Non-unit clause-clause subsumptions : 11
% 0.17/0.46 # Unit Clause-clause subsumption calls : 2
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 4
% 0.17/0.46 # BW rewrite match successes : 0
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 11602
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.018 s
% 0.17/0.46 # System time : 0.002 s
% 0.17/0.46 # Total time : 0.020 s
% 0.17/0.46 # Maximum resident set size: 1900 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.019 s
% 0.17/0.46 # System time : 0.003 s
% 0.17/0.46 # Total time : 0.023 s
% 0.17/0.46 # Maximum resident set size: 1732 pages
% 0.17/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------