TSTP Solution File: COM148+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : COM148+1 : TPTP v8.1.2. Released v6.4.0.
% 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 17:21:29 EDT 2023
% Result : Theorem 22.11s 3.31s
% Output : CNFRefutation 22.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 128 ( 28 unt; 0 def)
% Number of atoms : 1009 ( 635 equ)
% Maximal formula atoms : 400 ( 7 avg)
% Number of connectives : 1195 ( 314 ~; 625 |; 217 &)
% ( 2 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 7 con; 0-5 aty)
% Number of variables : 435 ( 60 sgn; 177 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Progress-T-app',conjecture,
! [X15] :
( ( vtcheck(vempty,vapp(ve1,ve2),X15)
& ~ visValue(vapp(ve1,ve2)) )
=> ? [X35] : vreduce(vapp(ve1,ve2)) = vsomeExp(X35) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','T-Progress-T-app') ).
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.2Si9w5VdUX/E---3.1_6246.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.2Si9w5VdUX/E---3.1_6246.p','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','DIFF-var-app') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','EQ-app') ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','reduce-INV') ).
fof('T-Progress-T-app-IH1',axiom,
! [X15] :
( ( vtcheck(vempty,ve1,X15)
& ~ visValue(ve1) )
=> ? [X35] : vreduce(ve1) = vsomeExp(X35) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','T-Progress-T-app-IH1') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',isValue1) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',reduce5) ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',isSomeExp1) ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',isValue0) ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',getSomeExp0) ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',isValue2) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',reduce0) ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',reduce1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','DIFF-noExp-someExp') ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',reduce3) ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p',reduce2) ).
fof('T-Progress-T-app-IH2',axiom,
! [X15] :
( ( vtcheck(vempty,ve2,X15)
& ~ visValue(ve2) )
=> ? [X35] : vreduce(ve2) = vsomeExp(X35) ),
file('/export/starexec/sandbox/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p','T-Progress-T-app-IH2') ).
fof(c_0_19,negated_conjecture,
~ ! [X15] :
( ( vtcheck(vempty,vapp(ve1,ve2),X15)
& ~ visValue(vapp(ve1,ve2)) )
=> ? [X35] : vreduce(vapp(ve1,ve2)) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Progress-T-app'])]) ).
fof(c_0_20,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_21,negated_conjecture,
! [X312] :
( vtcheck(vempty,vapp(ve1,ve2),esk34_0)
& ~ visValue(vapp(ve1,ve2))
& vreduce(vapp(ve1,ve2)) != vsomeExp(X312) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_22,plain,
! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_23,plain,
! [X52,X53,X54] : vvar(X52) != vapp(X53,X54),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_24,plain,
! [X44,X45,X46,X47] :
( ( X44 = X46
| vapp(X44,X45) != vapp(X46,X47) )
& ( X45 = X47
| vapp(X44,X45) != vapp(X46,X47) )
& ( X44 != X46
| X45 != X47
| vapp(X44,X45) = vapp(X46,X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
cnf(c_0_25,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_20]) ).
cnf(c_0_26,negated_conjecture,
vtcheck(vempty,vapp(ve1,ve2),esk34_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X4,X19] :
( epred4_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
introduced(definition) ).
cnf(c_0_30,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
vapp(esk29_3(vapp(ve1,ve2),esk34_0,vempty),esk30_3(vapp(ve1,ve2),esk34_0,vempty)) = vapp(ve1,ve2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
fof(c_0_32,plain,
! [X4,X19] :
( epred3_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
introduced(definition) ).
fof(c_0_33,plain,
! [X4,X19] :
( vreduce(X4) = X19
=> ( epred4_2(X19,X4)
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_29]) ).
fof(c_0_34,plain,
! [X15] :
( ( vtcheck(vempty,ve1,X15)
& ~ visValue(ve1) )
=> ? [X35] : vreduce(ve1) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],['T-Progress-T-app-IH1']) ).
cnf(c_0_35,negated_conjecture,
( esk29_3(vapp(ve1,ve2),esk34_0,vempty) = X1
| vapp(ve1,ve2) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X4,X19] :
( epred4_2(X19,X4)
=> ( epred3_2(X19,X4)
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_32]) ).
fof(c_0_37,plain,
! [X261,X262,X266,X267,X268] :
( ( X261 = vapp(esk22_2(X261,X262),esk21_2(X261,X262))
| epred4_2(X262,X261)
| vreduce(X261) != X262 )
& ( esk22_2(X261,X262) != vabs(X266,X267,X268)
| epred4_2(X262,X261)
| vreduce(X261) != X262 )
& ( esk23_2(X261,X262) = vreduce(esk22_2(X261,X262))
| epred4_2(X262,X261)
| vreduce(X261) != X262 )
& ( ~ visSomeExp(esk23_2(X261,X262))
| epred4_2(X262,X261)
| vreduce(X261) != X262 )
& ( X262 = vnoExp
| epred4_2(X262,X261)
| vreduce(X261) != X262 ) ),
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_33])])])])])]) ).
fof(c_0_38,plain,
! [X307] :
( ~ vtcheck(vempty,ve1,X307)
| visValue(ve1)
| vreduce(ve1) = vsomeExp(esk32_0) ),
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_34])])])])]) ).
cnf(c_0_39,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
esk29_3(vapp(ve1,ve2),esk34_0,vempty) = ve1,
inference(er,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(c_0_42,plain,
! [X358,X359,X368,X369,X370] :
( ( X358 = vapp(esk75_2(X358,X359),esk77_2(X358,X359))
| X358 = vapp(vabs(esk70_2(X358,X359),esk71_2(X358,X359),esk72_2(X358,X359)),esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk75_2(X358,X359) != vabs(X368,X369,X370)
| X358 = vapp(vabs(esk70_2(X358,X359),esk71_2(X358,X359),esk72_2(X358,X359)),esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk76_2(X358,X359) = vreduce(esk75_2(X358,X359))
| X358 = vapp(vabs(esk70_2(X358,X359),esk71_2(X358,X359),esk72_2(X358,X359)),esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( visSomeExp(esk76_2(X358,X359))
| X358 = vapp(vabs(esk70_2(X358,X359),esk71_2(X358,X359),esk72_2(X358,X359)),esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X359 = vsomeExp(vapp(vgetSomeExp(esk76_2(X358,X359)),esk77_2(X358,X359)))
| X358 = vapp(vabs(esk70_2(X358,X359),esk71_2(X358,X359),esk72_2(X358,X359)),esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X358 = vapp(esk75_2(X358,X359),esk77_2(X358,X359))
| esk73_2(X358,X359) = vreduce(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk75_2(X358,X359) != vabs(X368,X369,X370)
| esk73_2(X358,X359) = vreduce(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk76_2(X358,X359) = vreduce(esk75_2(X358,X359))
| esk73_2(X358,X359) = vreduce(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( visSomeExp(esk76_2(X358,X359))
| esk73_2(X358,X359) = vreduce(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X359 = vsomeExp(vapp(vgetSomeExp(esk76_2(X358,X359)),esk77_2(X358,X359)))
| esk73_2(X358,X359) = vreduce(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X358 = vapp(esk75_2(X358,X359),esk77_2(X358,X359))
| ~ visSomeExp(esk73_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk75_2(X358,X359) != vabs(X368,X369,X370)
| ~ visSomeExp(esk73_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk76_2(X358,X359) = vreduce(esk75_2(X358,X359))
| ~ visSomeExp(esk73_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( visSomeExp(esk76_2(X358,X359))
| ~ visSomeExp(esk73_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X359 = vsomeExp(vapp(vgetSomeExp(esk76_2(X358,X359)),esk77_2(X358,X359)))
| ~ visSomeExp(esk73_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X358 = vapp(esk75_2(X358,X359),esk77_2(X358,X359))
| ~ visValue(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk75_2(X358,X359) != vabs(X368,X369,X370)
| ~ visValue(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk76_2(X358,X359) = vreduce(esk75_2(X358,X359))
| ~ visValue(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( visSomeExp(esk76_2(X358,X359))
| ~ visValue(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X359 = vsomeExp(vapp(vgetSomeExp(esk76_2(X358,X359)),esk77_2(X358,X359)))
| ~ visValue(esk74_2(X358,X359))
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X358 = vapp(esk75_2(X358,X359),esk77_2(X358,X359))
| X359 = vnoExp
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk75_2(X358,X359) != vabs(X368,X369,X370)
| X359 = vnoExp
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( esk76_2(X358,X359) = vreduce(esk75_2(X358,X359))
| X359 = vnoExp
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( visSomeExp(esk76_2(X358,X359))
| X359 = vnoExp
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) )
& ( X359 = vsomeExp(vapp(vgetSomeExp(esk76_2(X358,X359)),esk77_2(X358,X359)))
| X359 = vnoExp
| epred3_2(X359,X358)
| ~ epred4_2(X359,X358) ) ),
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_36])])])])])]) ).
cnf(c_0_43,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X245,X246,X247,X248,X249] :
( X246 != vapp(X245,X249)
| X245 = vabs(esk15_5(X245,X246,X247,X248,X249),esk16_5(X245,X246,X247,X248,X249),esk17_5(X245,X246,X247,X248,X249))
| X248 != vreduce(X245)
| ~ visSomeExp(X248)
| X247 != vreduce(X246)
| X247 = vsomeExp(vapp(vgetSomeExp(X248),X249)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
cnf(c_0_45,plain,
( visValue(ve1)
| vreduce(ve1) = vsomeExp(esk32_0)
| ~ vtcheck(vempty,ve1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
vtcheck(vempty,ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_26]),c_0_27]),c_0_28]),c_0_40]) ).
fof(c_0_47,plain,
! [X211,X212] :
( X212 != vsomeExp(X211)
| visSomeExp(X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(c_0_48,plain,
! [X60,X61,X62,X63] :
( X63 != vabs(X60,X61,X62)
| visValue(X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(c_0_49,plain,
! [X213,X214,X215] :
( X213 != vsomeExp(X215)
| X214 != vgetSomeExp(X213)
| X214 = X215 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(c_0_50,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(c_0_51,plain,
! [X216,X217,X218] :
( X217 != vvar(X216)
| X218 != vreduce(X217)
| X218 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(c_0_52,plain,
! [X64,X65] :
( X65 != vvar(X64)
| ~ visValue(X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
fof(c_0_53,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_32]) ).
cnf(c_0_54,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk76_2(X2,X1)),esk77_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
( vreduce(X1) = vnoExp
| epred4_2(vreduce(X1),X1) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( X2 = vabs(esk15_5(X2,X1,X4,X5,X3),esk16_5(X2,X1,X4,X5,X3),esk17_5(X2,X1,X4,X5,X3))
| X4 = vsomeExp(vapp(vgetSomeExp(X5),X3))
| X1 != vapp(X2,X3)
| X5 != vreduce(X2)
| ~ visSomeExp(X5)
| X4 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
( vreduce(ve1) = vsomeExp(esk32_0)
| visValue(ve1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_58,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_61,plain,
! [X66,X67,X68] :
( X68 != vapp(X66,X67)
| ~ visValue(X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
fof(c_0_62,plain,
! [X219,X220,X221,X222,X223] :
( X222 != vabs(X219,X220,X221)
| X223 != vreduce(X222)
| X223 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
cnf(c_0_63,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_65,plain,
! [X209] : vnoExp != vsomeExp(X209),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(c_0_66,plain,
! [X342,X343] :
( ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X342 = vvar(esk56_2(X342,X343))
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| visSomeExp(esk64_2(X342,X343))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X342 = vabs(esk57_2(X342,X343),esk58_2(X342,X343),esk59_2(X342,X343))
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X342 = vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| esk64_2(X342,X343) = vreduce(esk60_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| visSomeExp(esk64_2(X342,X343))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X342 = vapp(vabs(esk67_2(X342,X343),esk65_2(X342,X343),esk69_2(X342,X343)),esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( esk66_2(X342,X343) = vreduce(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( ~ visSomeExp(esk66_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( visValue(esk68_2(X342,X343))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) )
& ( X343 = vsomeExp(vsubst(esk67_2(X342,X343),esk68_2(X342,X343),esk69_2(X342,X343)))
| X343 = vsomeExp(vapp(vabs(esk61_2(X342,X343),esk62_2(X342,X343),esk63_2(X342,X343)),vgetSomeExp(esk64_2(X342,X343))))
| X343 = vnoExp
| X343 = vnoExp
| ~ epred3_2(X343,X342) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])]) ).
cnf(c_0_67,negated_conjecture,
vreduce(vapp(ve1,ve2)) != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_68,plain,
( vsomeExp(vapp(vgetSomeExp(esk76_2(X1,vreduce(X1))),esk77_2(X1,vreduce(X1)))) = vreduce(X1)
| vreduce(X1) = vnoExp
| epred3_2(vreduce(X1),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_69,negated_conjecture,
( X1 = vsomeExp(vapp(vgetSomeExp(X2),X3))
| visValue(ve1)
| X4 != vapp(ve1,X3)
| X2 != vsomeExp(esk32_0)
| X1 != vreduce(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_70,plain,
( X1 = vgetSomeExp(X2)
| X2 != vsomeExp(X1) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( X1 = vapp(esk22_2(X1,X2),esk21_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_73,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( X1 = vnoExp
| X1 != vsomeExp(esk32_0)
| vvar(X2) != ve1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_57]),c_0_64]) ).
cnf(c_0_75,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
( X1 = vsomeExp(vsubst(esk67_2(X2,X1),esk68_2(X2,X1),esk69_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1)),vgetSomeExp(esk64_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( vreduce(X1) = vnoExp
| epred3_2(vreduce(X1),X1)
| vreduce(vapp(ve1,ve2)) != vreduce(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( vreduce(X1) = vsomeExp(vapp(vgetSomeExp(X2),X3))
| visValue(ve1)
| X1 != vapp(ve1,X3)
| X2 != vsomeExp(esk32_0) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
vgetSomeExp(vsomeExp(X1)) = X1,
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_80,plain,
~ visValue(vapp(X1,X2)),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_81,plain,
( vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1))) = X1
| epred4_2(vreduce(X1),X1) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( vreduce(X1) = vnoExp
| X1 != vabs(X2,X3,X4) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_83,negated_conjecture,
vvar(X1) != ve1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_75]) ).
cnf(c_0_84,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk67_2(X2,X1),esk68_2(X2,X1),esk69_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1)),vgetSomeExp(esk64_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( vreduce(vapp(ve1,ve2)) = vnoExp
| epred3_2(vreduce(vapp(ve1,ve2)),vapp(ve1,ve2)) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( vreduce(X1) = vsomeExp(vapp(esk32_0,X2))
| visValue(ve1)
| X1 != vapp(ve1,X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_79]) ).
cnf(c_0_87,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_88,negated_conjecture,
vapp(ve1,esk30_3(vapp(ve1,ve2),esk34_0,vempty)) = vapp(ve1,ve2),
inference(rw,[status(thm)],[c_0_31,c_0_40]) ).
fof(c_0_89,plain,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(fof_simplification,[status(thm)],[reduce3]) ).
fof(c_0_90,plain,
! [X224,X225,X226,X227,X228,X229,X230] :
( X225 != vapp(vabs(X227,X228,X229),X224)
| X230 != vreduce(X224)
| ~ visSomeExp(X230)
| X226 != vreduce(X225)
| X226 = vsomeExp(vapp(vabs(X227,X228,X229),vgetSomeExp(X230))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
cnf(c_0_91,plain,
( X1 = vapp(esk75_2(X1,X2),esk77_2(X1,X2))
| X1 = vapp(vabs(esk70_2(X1,X2),esk71_2(X1,X2),esk72_2(X1,X2)),esk74_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_92,plain,
( epred4_2(vreduce(X1),X1)
| ~ visValue(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_93,plain,
vreduce(vabs(X1,X2,X3)) = vnoExp,
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_94,negated_conjecture,
( vabs(esk25_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty),esk27_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty),esk26_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty)) = ve1
| vapp(esk29_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty),esk30_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty)) = ve1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_46]),c_0_83]) ).
cnf(c_0_95,plain,
vreduce(vapp(ve1,ve2)) = vnoExp,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_67]),c_0_67]) ).
cnf(c_0_96,negated_conjecture,
( vreduce(vapp(ve1,X1)) = vsomeExp(vapp(esk32_0,X1))
| visValue(ve1) ),
inference(er,[status(thm)],[c_0_86]) ).
fof(c_0_97,plain,
! [X15] :
( ( vtcheck(vempty,ve2,X15)
& ~ visValue(ve2) )
=> ? [X35] : vreduce(ve2) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],['T-Progress-T-app-IH2']) ).
cnf(c_0_98,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_99,negated_conjecture,
( esk30_3(vapp(ve1,ve2),esk34_0,vempty) = X1
| vapp(ve1,ve2) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_100,plain,
! [X231,X232,X233,X234,X235,X236,X237] :
( X233 != vapp(vabs(X235,X231,X237),X236)
| X232 != vreduce(X236)
| visSomeExp(X232)
| ~ visValue(X236)
| X234 != vreduce(X233)
| X234 = vsomeExp(vsubst(X235,X236,X237)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).
cnf(c_0_101,plain,
( X7 = vsomeExp(vapp(vabs(X2,X3,X4),vgetSomeExp(X6)))
| X1 != vapp(vabs(X2,X3,X4),X5)
| X6 != vreduce(X5)
| ~ visSomeExp(X6)
| X7 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,plain,
( epred3_2(vreduce(X1),X1)
| ~ visValue(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_71]),c_0_71]) ).
cnf(c_0_103,negated_conjecture,
( vapp(esk29_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty),esk30_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty)) = ve1
| vreduce(ve1) = vnoExp ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,plain,
visValue(ve1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_75]) ).
fof(c_0_105,plain,
! [X309] :
( ~ vtcheck(vempty,ve2,X309)
| visValue(ve2)
| vreduce(ve2) = vsomeExp(esk33_0) ),
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_97])])])])]) ).
cnf(c_0_106,negated_conjecture,
vtcheck(vempty,esk30_3(vapp(ve1,ve2),esk34_0,vempty),esk31_3(vapp(ve1,ve2),esk34_0,vempty)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_107,negated_conjecture,
esk30_3(vapp(ve1,ve2),esk34_0,vempty) = ve2,
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_108,plain,
( visSomeExp(X6)
| X7 = vsomeExp(vsubst(X2,X5,X4))
| X1 != vapp(vabs(X2,X3,X4),X5)
| X6 != vreduce(X5)
| ~ visValue(X5)
| X7 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_109,plain,
( X1 = vsomeExp(vapp(vabs(X2,X3,X4),vgetSomeExp(X5)))
| vapp(vabs(X2,X3,X4),X6) != vapp(ve1,ve2)
| X5 != vreduce(X6)
| X1 != vnoExp
| ~ visSomeExp(X5) ),
inference(spm,[status(thm)],[c_0_101,c_0_95]) ).
cnf(c_0_110,plain,
( vapp(esk29_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty),esk30_3(ve1,varrow(esk31_3(vapp(ve1,ve2),esk34_0,vempty),esk34_0),vempty)) = ve1
| epred3_2(vnoExp,ve1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_111,plain,
( visValue(ve2)
| vreduce(ve2) = vsomeExp(esk33_0)
| ~ vtcheck(vempty,ve2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_112,negated_conjecture,
vtcheck(vempty,ve2,esk31_3(vapp(ve1,ve2),esk34_0,vempty)),
inference(rw,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,plain,
( X1 = vsomeExp(vsubst(X2,X3,X4))
| visSomeExp(X5)
| vapp(vabs(X2,X6,X4),X3) != vapp(ve1,ve2)
| X5 != vreduce(X3)
| X1 != vnoExp
| ~ visValue(X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_95]) ).
cnf(c_0_114,plain,
( vapp(vabs(X1,X2,X3),X4) != vapp(ve1,ve2)
| X5 != vreduce(X4)
| ~ visSomeExp(X5) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_109]),c_0_75]) ).
cnf(c_0_115,plain,
( X1 = vsomeExp(vsubst(esk67_2(X2,X1),esk68_2(X2,X1),esk69_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1)),vgetSomeExp(esk64_2(X2,X1))))
| X2 = vabs(esk57_2(X2,X1),esk58_2(X2,X1),esk59_2(X2,X1))
| X2 = vvar(esk56_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_116,plain,
epred3_2(vnoExp,ve1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_110]),c_0_104])]) ).
cnf(c_0_117,negated_conjecture,
( vreduce(ve2) = vsomeExp(esk33_0)
| visValue(ve2) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( visSomeExp(X1)
| vapp(vabs(X2,X3,X4),X5) != vapp(ve1,ve2)
| X1 != vreduce(X5)
| ~ visValue(X5) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_113]),c_0_75]) ).
cnf(c_0_119,plain,
( vapp(vabs(X1,X2,X3),X4) != vapp(ve1,ve2)
| ~ visSomeExp(vreduce(X4)) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_120,plain,
vabs(esk57_2(ve1,vnoExp),esk58_2(ve1,vnoExp),esk59_2(ve1,vnoExp)) = ve1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_75]),c_0_75]),c_0_83]) ).
cnf(c_0_121,negated_conjecture,
( visValue(ve2)
| vapp(vabs(X1,X2,X3),ve2) != vapp(ve1,ve2)
| X4 != vsomeExp(esk33_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_117]),c_0_58]) ).
cnf(c_0_122,plain,
( visSomeExp(vreduce(X1))
| vapp(vabs(X2,X3,X4),X1) != vapp(ve1,ve2)
| ~ visValue(X1) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_123,plain,
( vapp(ve1,X1) != vapp(ve1,ve2)
| ~ visSomeExp(vreduce(X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
( visValue(ve2)
| vapp(vabs(X1,X2,X3),ve2) != vapp(ve1,ve2) ),
inference(er,[status(thm)],[c_0_121]) ).
cnf(c_0_125,plain,
( vapp(ve1,X1) != vapp(ve1,ve2)
| ~ visValue(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_123]) ).
cnf(c_0_126,negated_conjecture,
visValue(ve2),
inference(spm,[status(thm)],[c_0_124,c_0_120]) ).
cnf(c_0_127,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_125]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM148+1 : TPTP v8.1.2. Released v6.4.0.
% 0.11/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 05:16:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 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/tmp/tmp.2Si9w5VdUX/E---3.1_6246.p
% 22.11/3.31 # Version: 3.1pre001
% 22.11/3.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.11/3.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.11/3.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.11/3.31 # Starting new_bool_3 with 300s (1) cores
% 22.11/3.31 # Starting new_bool_1 with 300s (1) cores
% 22.11/3.31 # Starting sh5l with 300s (1) cores
% 22.11/3.31 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 6413 completed with status 0
% 22.11/3.31 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 22.11/3.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.11/3.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.11/3.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.11/3.31 # No SInE strategy applied
% 22.11/3.31 # Search class: FGHSF-FSLF32-MFFFFFNN
% 22.11/3.31 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 22.11/3.31 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 22.11/3.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 22.11/3.31 # Starting new_bool_3 with 136s (1) cores
% 22.11/3.31 # Starting new_bool_1 with 136s (1) cores
% 22.11/3.31 # Starting sh5l with 136s (1) cores
% 22.11/3.31 # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 6424 completed with status 0
% 22.11/3.31 # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 22.11/3.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.11/3.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.11/3.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.11/3.31 # No SInE strategy applied
% 22.11/3.31 # Search class: FGHSF-FSLF32-MFFFFFNN
% 22.11/3.31 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 22.11/3.31 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 22.11/3.31 # Preprocessing time : 0.010 s
% 22.11/3.31 # Presaturation interreduction done
% 22.11/3.31
% 22.11/3.31 # Proof found!
% 22.11/3.31 # SZS status Theorem
% 22.11/3.31 # SZS output start CNFRefutation
% See solution above
% 22.11/3.31 # Parsed axioms : 59
% 22.11/3.31 # Removed by relevancy pruning/SinE : 0
% 22.11/3.31 # Initial clauses : 422
% 22.11/3.31 # Removed in clause preprocessing : 10
% 22.11/3.31 # Initial clauses in saturation : 412
% 22.11/3.31 # Processed clauses : 9707
% 22.11/3.31 # ...of these trivial : 344
% 22.11/3.31 # ...subsumed : 4897
% 22.11/3.31 # ...remaining for further processing : 4466
% 22.11/3.31 # Other redundant clauses eliminated : 667
% 22.11/3.31 # Clauses deleted for lack of memory : 0
% 22.11/3.31 # Backward-subsumed : 690
% 22.11/3.31 # Backward-rewritten : 777
% 22.11/3.31 # Generated clauses : 142299
% 22.11/3.31 # ...of the previous two non-redundant : 126405
% 22.11/3.31 # ...aggressively subsumed : 0
% 22.11/3.31 # Contextual simplify-reflections : 290
% 22.11/3.31 # Paramodulations : 140515
% 22.11/3.31 # Factorizations : 0
% 22.11/3.31 # NegExts : 0
% 22.11/3.31 # Equation resolutions : 1782
% 22.11/3.31 # Total rewrite steps : 22959
% 22.11/3.31 # Propositional unsat checks : 0
% 22.11/3.31 # Propositional check models : 0
% 22.11/3.31 # Propositional check unsatisfiable : 0
% 22.11/3.31 # Propositional clauses : 0
% 22.11/3.31 # Propositional clauses after purity: 0
% 22.11/3.31 # Propositional unsat core size : 0
% 22.11/3.31 # Propositional preprocessing time : 0.000
% 22.11/3.31 # Propositional encoding time : 0.000
% 22.11/3.31 # Propositional solver time : 0.000
% 22.11/3.31 # Success case prop preproc time : 0.000
% 22.11/3.31 # Success case prop encoding time : 0.000
% 22.11/3.31 # Success case prop solver time : 0.000
% 22.11/3.31 # Current number of processed clauses : 2600
% 22.11/3.31 # Positive orientable unit clauses : 520
% 22.11/3.31 # Positive unorientable unit clauses: 2
% 22.11/3.31 # Negative unit clauses : 339
% 22.11/3.31 # Non-unit-clauses : 1739
% 22.11/3.31 # Current number of unprocessed clauses: 116008
% 22.11/3.31 # ...number of literals in the above : 506661
% 22.11/3.31 # Current number of archived formulas : 0
% 22.11/3.31 # Current number of archived clauses : 1845
% 22.11/3.31 # Clause-clause subsumption calls (NU) : 686293
% 22.11/3.31 # Rec. Clause-clause subsumption calls : 335798
% 22.11/3.31 # Non-unit clause-clause subsumptions : 3775
% 22.11/3.31 # Unit Clause-clause subsumption calls : 65514
% 22.11/3.31 # Rewrite failures with RHS unbound : 323
% 22.11/3.31 # BW rewrite match attempts : 19785
% 22.11/3.31 # BW rewrite match successes : 97
% 22.11/3.31 # Condensation attempts : 0
% 22.11/3.31 # Condensation successes : 0
% 22.11/3.31 # Termbank termtop insertions : 4561883
% 22.11/3.31
% 22.11/3.31 # -------------------------------------------------
% 22.11/3.31 # User time : 2.671 s
% 22.11/3.31 # System time : 0.073 s
% 22.11/3.31 # Total time : 2.744 s
% 22.11/3.31 # Maximum resident set size: 2864 pages
% 22.11/3.31
% 22.11/3.31 # -------------------------------------------------
% 22.11/3.31 # User time : 13.485 s
% 22.11/3.31 # System time : 0.154 s
% 22.11/3.31 # Total time : 13.639 s
% 22.11/3.31 # Maximum resident set size: 1804 pages
% 22.11/3.31 % E---3.1 exiting
% 22.11/3.31 % E---3.1 exiting
%------------------------------------------------------------------------------