TSTP Solution File: COM139+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : COM139+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 17:22:30 EDT 2023
% Result : Theorem 0.15s 0.54s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 23 unt; 0 def)
% Number of atoms : 206 ( 127 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 217 ( 65 ~; 101 |; 40 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 187 ( 35 sgn; 94 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-abs-1',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','T-Weak-abs-1') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','T-inv') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','DIFF-var-abs') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p',lookup2) ).
fof('T-Weak-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','T-Weak-abs-IH') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','T-Context-Swap') ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/tmp/tmp.NSOD8XF9a3/E---3.1_28837.p','T-abs') ).
fof(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-abs-1']) ).
fof(c_0_10,plain,
! [X286,X287,X288] :
( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_11,negated_conjecture,
( esk32_0 != esk35_0
& vlookup(esk32_0,esk34_0) = vnoType
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,plain,
! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_13,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_14,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( X38 = X41
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X39 = X42
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X40 = X43
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X38 != X41
| X39 != X42
| X40 != X43
| vabs(X38,X39,X40) = vabs(X41,X42,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
cnf(c_0_15,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_23,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_26,plain,
! [X113,X114,X115,X116,X117,X118,X119] :
( X115 != X118
| X116 != vbind(X114,X113,X119)
| X118 = X114
| X117 != vlookup(X115,X116)
| X117 = vlookup(X118,X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
cnf(c_0_27,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
inference(er,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X297,X298,X299,X300] :
( vlookup(X297,X299) != vnoType
| ~ vtcheck(X299,veabs,X300)
| vtcheck(vbind(X297,X298,X299),veabs,X300) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-IH'])]) ).
cnf(c_0_29,plain,
( X2 = X4
| X7 = vlookup(X2,X6)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),veabs) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_32,plain,
( vtcheck(vbind(X1,X4,X2),veabs,X3)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,veabs,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])]) ).
cnf(c_0_34,negated_conjecture,
( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( X1 = X2
| vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),veabs,X6)
| vlookup(X1,X5) != vnoType
| ~ vtcheck(vbind(X2,X4,X5),veabs,X6) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
vlookup(esk32_0,esk34_0) = vnoType,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X139,X140,X141,X142,X143,X144,X145] :
( X141 = X139
| ~ vtcheck(vbind(X141,X142,vbind(X139,X140,X143)),X144,X145)
| vtcheck(vbind(X139,X140,vbind(X141,X142,X143)),X144,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(c_0_40,negated_conjecture,
( esk32_0 = X1
| vtcheck(vbind(esk32_0,X2,vbind(X1,X3,esk34_0)),veabs,X4)
| ~ vtcheck(vbind(X1,X3,esk34_0),veabs,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_16]),c_0_17]),c_0_18]),c_0_22]),c_0_38]),c_0_27]) ).
cnf(c_0_42,negated_conjecture,
esk32_0 != esk35_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_44,plain,
! [X276,X277,X278,X279,X280] :
( ~ vtcheck(vbind(X277,X279,X276),X278,X280)
| vtcheck(X276,vabs(X277,X279,X278),varrow(X279,X280)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(c_0_45,plain,
( X1 = X2
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
vtcheck(vbind(esk32_0,X1,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_48,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,X1,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(rw,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_51,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,negated_conjecture,
vtcheck(vbind(esk32_0,X1,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : COM139+1 : TPTP v8.1.2. Released v6.4.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Oct 3 05:00:50 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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.NSOD8XF9a3/E---3.1_28837.p
% 0.15/0.54 # Version: 3.1pre001
% 0.15/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.54 # Starting sh5l with 300s (1) cores
% 0.15/0.54 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28948 completed with status 0
% 0.15/0.54 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.54 # No SInE strategy applied
% 0.15/0.54 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.15/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.54 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.15/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.54 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.54 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.54 # Starting sh5l with 136s (1) cores
% 0.15/0.54 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28955 completed with status 0
% 0.15/0.54 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.54 # No SInE strategy applied
% 0.15/0.54 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.15/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.54 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.15/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.54 # Preprocessing time : 0.005 s
% 0.15/0.54 # Presaturation interreduction done
% 0.15/0.54
% 0.15/0.54 # Proof found!
% 0.15/0.54 # SZS status Theorem
% 0.15/0.54 # SZS output start CNFRefutation
% See solution above
% 0.15/0.54 # Parsed axioms : 56
% 0.15/0.54 # Removed by relevancy pruning/SinE : 0
% 0.15/0.54 # Initial clauses : 420
% 0.15/0.54 # Removed in clause preprocessing : 10
% 0.15/0.54 # Initial clauses in saturation : 410
% 0.15/0.54 # Processed clauses : 1443
% 0.15/0.54 # ...of these trivial : 56
% 0.15/0.54 # ...subsumed : 320
% 0.15/0.54 # ...remaining for further processing : 1067
% 0.15/0.54 # Other redundant clauses eliminated : 444
% 0.15/0.54 # Clauses deleted for lack of memory : 0
% 0.15/0.54 # Backward-subsumed : 1
% 0.15/0.54 # Backward-rewritten : 49
% 0.15/0.54 # Generated clauses : 5234
% 0.15/0.54 # ...of the previous two non-redundant : 4725
% 0.15/0.54 # ...aggressively subsumed : 0
% 0.15/0.54 # Contextual simplify-reflections : 3
% 0.15/0.54 # Paramodulations : 4822
% 0.15/0.54 # Factorizations : 0
% 0.15/0.54 # NegExts : 0
% 0.15/0.54 # Equation resolutions : 464
% 0.15/0.54 # Total rewrite steps : 515
% 0.15/0.54 # Propositional unsat checks : 0
% 0.15/0.54 # Propositional check models : 0
% 0.15/0.54 # Propositional check unsatisfiable : 0
% 0.15/0.54 # Propositional clauses : 0
% 0.15/0.54 # Propositional clauses after purity: 0
% 0.15/0.54 # Propositional unsat core size : 0
% 0.15/0.54 # Propositional preprocessing time : 0.000
% 0.15/0.54 # Propositional encoding time : 0.000
% 0.15/0.54 # Propositional solver time : 0.000
% 0.15/0.54 # Success case prop preproc time : 0.000
% 0.15/0.54 # Success case prop encoding time : 0.000
% 0.15/0.54 # Success case prop solver time : 0.000
% 0.15/0.54 # Current number of processed clauses : 553
% 0.15/0.54 # Positive orientable unit clauses : 52
% 0.15/0.54 # Positive unorientable unit clauses: 2
% 0.15/0.54 # Negative unit clauses : 26
% 0.15/0.54 # Non-unit-clauses : 473
% 0.15/0.54 # Current number of unprocessed clauses: 3997
% 0.15/0.54 # ...number of literals in the above : 15128
% 0.15/0.54 # Current number of archived formulas : 0
% 0.15/0.54 # Current number of archived clauses : 420
% 0.15/0.54 # Clause-clause subsumption calls (NU) : 61902
% 0.15/0.54 # Rec. Clause-clause subsumption calls : 17009
% 0.15/0.54 # Non-unit clause-clause subsumptions : 185
% 0.15/0.54 # Unit Clause-clause subsumption calls : 4154
% 0.15/0.54 # Rewrite failures with RHS unbound : 0
% 0.15/0.54 # BW rewrite match attempts : 218
% 0.15/0.54 # BW rewrite match successes : 8
% 0.15/0.54 # Condensation attempts : 0
% 0.15/0.54 # Condensation successes : 0
% 0.15/0.54 # Termbank termtop insertions : 172777
% 0.15/0.54
% 0.15/0.54 # -------------------------------------------------
% 0.15/0.54 # User time : 0.127 s
% 0.15/0.54 # System time : 0.008 s
% 0.15/0.54 # Total time : 0.135 s
% 0.15/0.54 # Maximum resident set size: 2824 pages
% 0.15/0.54
% 0.15/0.54 # -------------------------------------------------
% 0.15/0.54 # User time : 0.604 s
% 0.15/0.54 # System time : 0.015 s
% 0.15/0.54 # Total time : 0.619 s
% 0.15/0.54 # Maximum resident set size: 1800 pages
% 0.15/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------