TSTP Solution File: SEU228+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 19:31:02 EDT 2023
% Result : Theorem 7.51s 1.47s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 6 unt; 0 def)
% Number of atoms : 355 ( 86 equ)
% Maximal formula atoms : 44 ( 6 avg)
% Number of connectives : 522 ( 225 ~; 245 |; 35 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-4 aty)
% Number of variables : 186 ( 5 sgn; 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,relation_dom(X1))
& in(X5,X2)
& X4 = apply(X1,X5) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',d12_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',d5_funct_1) ).
fof(t147_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',t147_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',d3_tarski) ).
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',d13_funct_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',d10_xboole_0) ).
fof(t145_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,relation_inverse_image(X2,X1)),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p',t145_funct_1) ).
fof(c_0_7,plain,
! [X13,X14,X15,X16,X18,X19,X20,X21,X23] :
( ( in(esk1_4(X13,X14,X15,X16),relation_dom(X13))
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk1_4(X13,X14,X15,X16),X14)
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( X16 = apply(X13,esk1_4(X13,X14,X15,X16))
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( ~ in(X19,relation_dom(X13))
| ~ in(X19,X14)
| X18 != apply(X13,X19)
| in(X18,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( ~ in(esk2_3(X13,X20,X21),X21)
| ~ in(X23,relation_dom(X13))
| ~ in(X23,X20)
| esk2_3(X13,X20,X21) != apply(X13,X23)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk3_3(X13,X20,X21),relation_dom(X13))
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk3_3(X13,X20,X21),X20)
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( esk2_3(X13,X20,X21) = apply(X13,esk3_3(X13,X20,X21))
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) ) ),
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)],[d12_funct_1])])])])])]) ).
fof(c_0_8,plain,
! [X39,X40,X41,X43,X44,X45,X47] :
( ( in(esk6_3(X39,X40,X41),relation_dom(X39))
| ~ in(X41,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( X41 = apply(X39,esk6_3(X39,X40,X41))
| ~ in(X41,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( ~ in(X44,relation_dom(X39))
| X43 != apply(X39,X44)
| in(X43,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( ~ in(esk7_2(X39,X45),X45)
| ~ in(X47,relation_dom(X39))
| esk7_2(X39,X45) != apply(X39,X47)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( in(esk8_2(X39,X45),relation_dom(X39))
| in(esk7_2(X39,X45),X45)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( esk7_2(X39,X45) = apply(X39,esk8_2(X39,X45))
| in(esk7_2(X39,X45),X45)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) ) ),
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)],[d5_funct_1])])])])])]) ).
cnf(c_0_9,plain,
( in(X4,X5)
| ~ in(X1,relation_dom(X2))
| ~ in(X1,X3)
| X4 != apply(X2,X1)
| X5 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( in(esk6_3(X1,X2,X3),relation_dom(X1))
| ~ in(X3,X2)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( in(X1,X2)
| X1 != apply(X3,esk6_3(X3,X4,X5))
| X2 != relation_image(X3,X6)
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk6_3(X3,X4,X5),X6)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( X1 = apply(X2,esk6_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
inference(assume_negation,[status(cth)],[t147_funct_1]) ).
cnf(c_0_14,plain,
( in(X3,X4)
| ~ in(X1,relation_dom(X2))
| X3 != apply(X2,X1)
| X4 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X5 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk6_3(X3,X5,X1),X4)
| ~ in(X1,X5) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12])]) ).
fof(c_0_17,plain,
! [X33,X34,X35,X36,X37] :
( ( ~ subset(X33,X34)
| ~ in(X35,X33)
| in(X35,X34) )
& ( in(esk5_2(X36,X37),X36)
| subset(X36,X37) )
& ( ~ in(esk5_2(X36,X37),X37)
| subset(X36,X37) ) ),
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)],[d3_tarski])])])])])]) ).
fof(c_0_18,negated_conjecture,
( relation(esk21_0)
& function(esk21_0)
& subset(esk20_0,relation_rng(esk21_0))
& relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( in(X1,X2)
| X1 != apply(X3,esk1_4(X3,X4,X5,X6))
| X5 != relation_image(X3,X4)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X6,X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( X1 = apply(X2,esk1_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( in(X1,X2)
| X2 != relation_image(X3,relation_dom(X3))
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_22,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
subset(esk20_0,relation_rng(esk21_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( in(X1,X2)
| X3 != relation_image(X4,X5)
| X2 != relation_rng(X4)
| ~ relation(X4)
| ~ function(X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_25,plain,
( in(X1,relation_image(X2,relation_dom(X2)))
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( in(X1,relation_rng(esk21_0))
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X25,X26,X27,X28,X29,X30,X31] :
( ( in(X28,relation_dom(X25))
| ~ in(X28,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( in(apply(X25,X28),X26)
| ~ in(X28,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(X29,relation_dom(X25))
| ~ in(apply(X25,X29),X26)
| in(X29,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(esk4_3(X25,X30,X31),X31)
| ~ in(esk4_3(X25,X30,X31),relation_dom(X25))
| ~ in(apply(X25,esk4_3(X25,X30,X31)),X30)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) )
& ( in(esk4_3(X25,X30,X31),relation_dom(X25))
| in(esk4_3(X25,X30,X31),X31)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) )
& ( in(apply(X25,esk4_3(X25,X30,X31)),X30)
| in(esk4_3(X25,X30,X31),X31)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) ) ),
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)],[d13_funct_1])])])])])]) ).
cnf(c_0_28,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_image(X3,X4)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( in(X1,relation_image(X2,relation_dom(X2)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( in(X1,X4)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( in(X1,X2)
| relation_rng(esk21_0) != relation_rng(X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( in(esk5_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_33,plain,
( in(X1,X2)
| X1 != apply(X3,esk1_4(X3,X4,X5,X6))
| X2 != relation_image(X3,X7)
| X5 != relation_image(X3,X4)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk1_4(X3,X4,X5,X6),X7)
| ~ in(X6,X5) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_34,plain,
( in(esk1_4(X1,X2,X3,X4),X5)
| X5 != relation_inverse_image(X1,X6)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,X6)
| ~ in(X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),X2)
| relation_rng(esk21_0) != relation_rng(X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X5 != relation_image(X3,X6)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk1_4(X3,X6,X5,X1),X4)
| ~ in(X1,X5) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20])]) ).
cnf(c_0_37,plain,
( in(esk1_4(X1,X2,X3,X4),relation_inverse_image(X1,X5))
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,X5)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_rng(X2))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
relation(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40,negated_conjecture,
function(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( in(X1,X2)
| X2 != relation_image(X3,relation_inverse_image(X3,X4))
| X5 != relation_image(X3,X6)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,X5)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_rng(esk21_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_43,plain,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| X4 != relation_image(X2,X5)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(X2,relation_dom(X2)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_45,plain,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_image(X2,X4))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_dom(esk21_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_39]),c_0_40])]) ).
fof(c_0_47,plain,
! [X11,X12] :
( ( subset(X11,X12)
| X11 != X12 )
& ( subset(X12,X11)
| X11 != X12 )
& ( ~ subset(X11,X12)
| ~ subset(X12,X11)
| X11 = X12 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(c_0_48,plain,
! [X69,X70] :
( ~ relation(X70)
| ~ function(X70)
| subset(relation_image(X70,relation_inverse_image(X70,X69)),X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_funct_1])]) ).
cnf(c_0_49,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_inverse_image(esk21_0,X2)))
| ~ in(esk5_2(esk20_0,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_40])]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_54,plain,
( relation_image(X1,relation_inverse_image(X1,X2)) = X2
| ~ subset(X2,relation_image(X1,relation_inverse_image(X1,X2)))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
subset(esk20_0,relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_40])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n015.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 09:37:31 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.lOlKzuqEEN/E---3.1_29422.p
% 7.51/1.47 # Version: 3.1pre001
% 7.51/1.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.51/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/1.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.51/1.47 # Starting new_bool_3 with 300s (1) cores
% 7.51/1.47 # Starting new_bool_1 with 300s (1) cores
% 7.51/1.47 # Starting sh5l with 300s (1) cores
% 7.51/1.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29532 completed with status 0
% 7.51/1.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.51/1.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.51/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/1.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.51/1.47 # No SInE strategy applied
% 7.51/1.47 # Search class: FGHSM-FFMM32-SFFFFFNN
% 7.51/1.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.51/1.47 # Starting G-E--_301_C18_F1_URBAN_S0Y with 692s (1) cores
% 7.51/1.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.51/1.47 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.51/1.47 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 7.51/1.47 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 7.51/1.47 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 29553 completed with status 0
% 7.51/1.47 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN
% 7.51/1.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.51/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/1.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.51/1.47 # No SInE strategy applied
% 7.51/1.47 # Search class: FGHSM-FFMM32-SFFFFFNN
% 7.51/1.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.51/1.47 # Starting G-E--_301_C18_F1_URBAN_S0Y with 692s (1) cores
% 7.51/1.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.51/1.47 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.51/1.47 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 7.51/1.47 # Preprocessing time : 0.002 s
% 7.51/1.47
% 7.51/1.47 # Proof found!
% 7.51/1.47 # SZS status Theorem
% 7.51/1.47 # SZS output start CNFRefutation
% See solution above
% 7.51/1.47 # Parsed axioms : 47
% 7.51/1.47 # Removed by relevancy pruning/SinE : 0
% 7.51/1.47 # Initial clauses : 89
% 7.51/1.47 # Removed in clause preprocessing : 10
% 7.51/1.47 # Initial clauses in saturation : 79
% 7.51/1.47 # Processed clauses : 2839
% 7.51/1.47 # ...of these trivial : 15
% 7.51/1.47 # ...subsumed : 1753
% 7.51/1.47 # ...remaining for further processing : 1071
% 7.51/1.47 # Other redundant clauses eliminated : 27
% 7.51/1.47 # Clauses deleted for lack of memory : 0
% 7.51/1.47 # Backward-subsumed : 50
% 7.51/1.47 # Backward-rewritten : 17
% 7.51/1.47 # Generated clauses : 32555
% 7.51/1.47 # ...of the previous two non-redundant : 31957
% 7.51/1.47 # ...aggressively subsumed : 0
% 7.51/1.47 # Contextual simplify-reflections : 49
% 7.51/1.47 # Paramodulations : 32315
% 7.51/1.47 # Factorizations : 86
% 7.51/1.48 # NegExts : 0
% 7.51/1.48 # Equation resolutions : 154
% 7.51/1.48 # Total rewrite steps : 5317
% 7.51/1.48 # Propositional unsat checks : 0
% 7.51/1.48 # Propositional check models : 0
% 7.51/1.48 # Propositional check unsatisfiable : 0
% 7.51/1.48 # Propositional clauses : 0
% 7.51/1.48 # Propositional clauses after purity: 0
% 7.51/1.48 # Propositional unsat core size : 0
% 7.51/1.48 # Propositional preprocessing time : 0.000
% 7.51/1.48 # Propositional encoding time : 0.000
% 7.51/1.48 # Propositional solver time : 0.000
% 7.51/1.48 # Success case prop preproc time : 0.000
% 7.51/1.48 # Success case prop encoding time : 0.000
% 7.51/1.48 # Success case prop solver time : 0.000
% 7.51/1.48 # Current number of processed clauses : 1002
% 7.51/1.48 # Positive orientable unit clauses : 35
% 7.51/1.48 # Positive unorientable unit clauses: 0
% 7.51/1.48 # Negative unit clauses : 14
% 7.51/1.48 # Non-unit-clauses : 953
% 7.51/1.48 # Current number of unprocessed clauses: 28971
% 7.51/1.48 # ...number of literals in the above : 173765
% 7.51/1.48 # Current number of archived formulas : 0
% 7.51/1.48 # Current number of archived clauses : 67
% 7.51/1.48 # Clause-clause subsumption calls (NU) : 176077
% 7.51/1.48 # Rec. Clause-clause subsumption calls : 34766
% 7.51/1.48 # Non-unit clause-clause subsumptions : 1045
% 7.51/1.48 # Unit Clause-clause subsumption calls : 2218
% 7.51/1.48 # Rewrite failures with RHS unbound : 0
% 7.51/1.48 # BW rewrite match attempts : 9
% 7.51/1.48 # BW rewrite match successes : 8
% 7.51/1.48 # Condensation attempts : 0
% 7.51/1.48 # Condensation successes : 0
% 7.51/1.48 # Termbank termtop insertions : 669103
% 7.51/1.48
% 7.51/1.48 # -------------------------------------------------
% 7.51/1.48 # User time : 0.977 s
% 7.51/1.48 # System time : 0.022 s
% 7.51/1.48 # Total time : 0.999 s
% 7.51/1.48 # Maximum resident set size: 1892 pages
% 7.51/1.48
% 7.51/1.48 # -------------------------------------------------
% 7.51/1.48 # User time : 4.731 s
% 7.51/1.48 # System time : 0.122 s
% 7.51/1.48 # Total time : 4.853 s
% 7.51/1.48 # Maximum resident set size: 1732 pages
% 7.51/1.48 % E---3.1 exiting
%------------------------------------------------------------------------------