TSTP Solution File: COM139+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM139+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 01:14:32 EDT 2022
% Result : Theorem 0.36s 23.55s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 23 unt; 0 def)
% Number of atoms : 236 ( 159 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 248 ( 73 ~; 124 |; 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 : 236 ( 56 sgn 100 !; 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/solver/bin/../tmp/theBenchmark.p','T-Weak-abs-1') ).
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/benchmark/Axioms/COM001+0.ax',lookup2) ).
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/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','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/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
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/solver/bin/../tmp/theBenchmark.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/benchmark/Axioms/COM001+0.ax','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/benchmark/Axioms/COM001+0.ax','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,
! [X23,X24,X25,X26,X27,X28,X29] :
( X25 != X28
| X26 != vbind(X24,X23,X29)
| X28 = X24
| X27 != vlookup(X25,X26)
| X27 = vlookup(X28,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(c_0_11,plain,
! [X35,X36,X37] :
( ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])])]) ).
fof(c_0_12,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_13,plain,
! [X8,X9,X10,X11,X12] : vabs(X8,X9,X10) != vapp(X11,X12),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8] : vvar(X5) != vabs(X6,X7,X8),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
cnf(c_0_15,plain,
( X1 = vlookup(X2,X3)
| X2 = X6
| X1 != vlookup(X4,X5)
| X5 != vbind(X6,X7,X3)
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X7,X8,X9,X10,X11,X12,X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X8 = X11
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X9 = X12
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X7 != X10
| X8 != X11
| X9 != X12
| vabs(X7,X8,X9) = vabs(X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])])]) ).
cnf(c_0_17,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( X1 = X4
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,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_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_24,plain,
( vlookup(X1,X2) = vlookup(X1,X3)
| X1 = X4
| X2 != vbind(X4,X5,X3) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_25,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_22,c_0_23]) ).
cnf(c_0_26,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_28,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X2 = X5
| vbind(X5,X6,X7) != vbind(X4,X8,X3)
| X1 != vlookup(X2,X7) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_29,plain,
( X2 = X5
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,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_23,c_0_27]) ).
cnf(c_0_31,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X2 = X5
| X2 = X6
| vbind(X5,X7,vbind(X6,X8,X9)) != vbind(X4,X10,X3)
| X1 != vlookup(X2,X9) ),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
vlookup(esk32_0,esk34_0) = vnoType,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( X1 = esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)
| vabs(X2,X1,X3) != vabs(esk35_0,esk36_0,veabs) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( X1 = vlookup(esk32_0,X2)
| esk32_0 = X3
| esk32_0 = X4
| esk32_0 = X5
| vbind(X4,X6,vbind(X5,X7,esk34_0)) != vbind(X3,X8,X2)
| X1 != vnoType ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( vlookup(esk32_0,X1) = vnoType
| esk32_0 = X2
| esk32_0 = X3
| esk32_0 = X4
| vbind(X3,X5,vbind(X4,X6,esk34_0)) != vbind(X2,X7,X1) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_37,plain,
( X3 = X6
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,negated_conjecture,
vabs(esk35_0,esk36_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_30,c_0_35]) ).
fof(c_0_39,plain,
! [X21,X22,X23,X24] :
( vlookup(X21,X23) != vnoType
| ~ vtcheck(X23,veabs,X24)
| vtcheck(vbind(X21,X22,X23),veabs,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-IH'])]) ).
cnf(c_0_40,negated_conjecture,
( vlookup(esk32_0,vbind(X1,X2,esk34_0)) = vnoType
| esk32_0 = X3
| esk32_0 = X1 ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
esk32_0 != esk35_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)
| vabs(X2,X3,X1) != vabs(esk35_0,esk36_0,veabs) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( vtcheck(vbind(X1,X2,X3),veabs,X4)
| ~ vtcheck(X3,veabs,X4)
| vlookup(X1,X3) != vnoType ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( vlookup(esk32_0,vbind(X1,X2,esk34_0)) = vnoType
| esk32_0 = X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_40]),c_0_41]) ).
cnf(c_0_45,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
inference(er,[status(thm)],[c_0_42]) ).
fof(c_0_47,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( X26 = X24
| ~ vtcheck(vbind(X26,X27,vbind(X24,X25,X28)),X29,X30)
| vtcheck(vbind(X24,X25,vbind(X26,X27,X28)),X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(c_0_48,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_43,c_0_44]) ).
cnf(c_0_49,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_45,c_0_18]),c_0_19]),c_0_20]),c_0_27]),c_0_35]),c_0_46]) ).
cnf(c_0_50,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_51,plain,
! [X21,X22,X23,X24,X25] :
( ~ vtcheck(vbind(X22,X24,X21),X23,X25)
| vtcheck(X21,vabs(X22,X24,X23),varrow(X24,X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(c_0_52,plain,
( vtcheck(vbind(X1,X2,vbind(X3,X4,X5)),X6,X7)
| X3 = X1
| ~ vtcheck(vbind(X3,X4,vbind(X1,X2,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,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_48,c_0_49]),c_0_41]) ).
cnf(c_0_54,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_50,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_55,plain,
( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
| ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,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_52,c_0_53]),c_0_41]) ).
cnf(c_0_57,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_54,c_0_35]) ).
cnf(c_0_58,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_12]) ).
cnf(c_0_59,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_55,c_0_56]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM139+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 17:02:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/23.40 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.43 eprover: CPU time limit exceeded, terminating
% 0.36/23.55 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.36/23.55
% 0.36/23.55 # Failure: Resource limit exceeded (time)
% 0.36/23.55 # OLD status Res
% 0.36/23.55 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.36/23.55 # Preprocessing time : 0.017 s
% 0.36/23.55 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.36/23.55 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.36/23.55 # Preprocessing time : 0.009 s
% 0.36/23.55
% 0.36/23.55 # Failure: Out of unprocessed clauses!
% 0.36/23.55 # OLD status GaveUp
% 0.36/23.55 # Parsed axioms : 56
% 0.36/23.55 # Removed by relevancy pruning/SinE : 45
% 0.36/23.55 # Initial clauses : 20
% 0.36/23.55 # Removed in clause preprocessing : 3
% 0.36/23.55 # Initial clauses in saturation : 17
% 0.36/23.55 # Processed clauses : 39
% 0.36/23.55 # ...of these trivial : 0
% 0.36/23.55 # ...subsumed : 7
% 0.36/23.55 # ...remaining for further processing : 32
% 0.36/23.55 # Other redundant clauses eliminated : 4
% 0.36/23.55 # Clauses deleted for lack of memory : 0
% 0.36/23.55 # Backward-subsumed : 0
% 0.36/23.55 # Backward-rewritten : 1
% 0.36/23.55 # Generated clauses : 29
% 0.36/23.55 # ...of the previous two non-trivial : 22
% 0.36/23.55 # Contextual simplify-reflections : 4
% 0.36/23.55 # Paramodulations : 16
% 0.36/23.55 # Factorizations : 0
% 0.36/23.55 # Equation resolutions : 14
% 0.36/23.55 # Current number of processed clauses : 28
% 0.36/23.55 # Positive orientable unit clauses : 3
% 0.36/23.55 # Positive unorientable unit clauses: 0
% 0.36/23.55 # Negative unit clauses : 3
% 0.36/23.55 # Non-unit-clauses : 22
% 0.36/23.55 # Current number of unprocessed clauses: 0
% 0.36/23.55 # ...number of literals in the above : 0
% 0.36/23.55 # Current number of archived formulas : 0
% 0.36/23.55 # Current number of archived clauses : 1
% 0.36/23.55 # Clause-clause subsumption calls (NU) : 143
% 0.36/23.55 # Rec. Clause-clause subsumption calls : 125
% 0.36/23.55 # Non-unit clause-clause subsumptions : 10
% 0.36/23.55 # Unit Clause-clause subsumption calls : 1
% 0.36/23.55 # Rewrite failures with RHS unbound : 0
% 0.36/23.55 # BW rewrite match attempts : 1
% 0.36/23.55 # BW rewrite match successes : 1
% 0.36/23.55 # Condensation attempts : 0
% 0.36/23.55 # Condensation successes : 0
% 0.36/23.55 # Termbank termtop insertions : 2653
% 0.36/23.55
% 0.36/23.55 # -------------------------------------------------
% 0.36/23.55 # User time : 0.009 s
% 0.36/23.55 # System time : 0.001 s
% 0.36/23.55 # Total time : 0.009 s
% 0.36/23.55 # Maximum resident set size: 2856 pages
% 0.36/23.55 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.36/23.55 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.36/23.55 # Preprocessing time : 0.009 s
% 0.36/23.55
% 0.36/23.55 # Failure: Out of unprocessed clauses!
% 0.36/23.55 # OLD status GaveUp
% 0.36/23.55 # Parsed axioms : 56
% 0.36/23.55 # Removed by relevancy pruning/SinE : 39
% 0.36/23.55 # Initial clauses : 30
% 0.36/23.55 # Removed in clause preprocessing : 6
% 0.36/23.55 # Initial clauses in saturation : 24
% 0.36/23.55 # Processed clauses : 44
% 0.36/23.55 # ...of these trivial : 0
% 0.36/23.55 # ...subsumed : 7
% 0.36/23.55 # ...remaining for further processing : 37
% 0.36/23.55 # Other redundant clauses eliminated : 4
% 0.36/23.55 # Clauses deleted for lack of memory : 0
% 0.36/23.55 # Backward-subsumed : 0
% 0.36/23.55 # Backward-rewritten : 1
% 0.36/23.55 # Generated clauses : 31
% 0.36/23.55 # ...of the previous two non-trivial : 20
% 0.36/23.55 # Contextual simplify-reflections : 3
% 0.36/23.55 # Paramodulations : 14
% 0.36/23.55 # Factorizations : 0
% 0.36/23.55 # Equation resolutions : 18
% 0.36/23.55 # Current number of processed clauses : 33
% 0.36/23.55 # Positive orientable unit clauses : 3
% 0.36/23.55 # Positive unorientable unit clauses: 0
% 0.36/23.55 # Negative unit clauses : 6
% 0.36/23.55 # Non-unit-clauses : 24
% 0.36/23.55 # Current number of unprocessed clauses: 0
% 0.36/23.55 # ...number of literals in the above : 0
% 0.36/23.55 # Current number of archived formulas : 0
% 0.36/23.55 # Current number of archived clauses : 1
% 0.36/23.55 # Clause-clause subsumption calls (NU) : 123
% 0.36/23.55 # Rec. Clause-clause subsumption calls : 103
% 0.36/23.55 # Non-unit clause-clause subsumptions : 8
% 0.36/23.55 # Unit Clause-clause subsumption calls : 1
% 0.36/23.55 # Rewrite failures with RHS unbound : 0
% 0.36/23.55 # BW rewrite match attempts : 1
% 0.36/23.55 # BW rewrite match successes : 1
% 0.36/23.55 # Condensation attempts : 0
% 0.36/23.55 # Condensation successes : 0
% 0.36/23.55 # Termbank termtop insertions : 2910
% 0.36/23.55
% 0.36/23.55 # -------------------------------------------------
% 0.36/23.55 # User time : 0.009 s
% 0.36/23.55 # System time : 0.001 s
% 0.36/23.55 # Total time : 0.010 s
% 0.36/23.55 # Maximum resident set size: 3260 pages
% 0.36/23.55 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.36/23.55 # Preprocessing time : 0.017 s
% 0.36/23.55
% 0.36/23.55 # Proof found!
% 0.36/23.55 # SZS status Theorem
% 0.36/23.55 # SZS output start CNFRefutation
% See solution above
% 0.36/23.55 # Proof object total steps : 61
% 0.36/23.55 # Proof object clause steps : 42
% 0.36/23.55 # Proof object formula steps : 19
% 0.36/23.55 # Proof object conjectures : 28
% 0.36/23.55 # Proof object clause conjectures : 25
% 0.36/23.55 # Proof object formula conjectures : 3
% 0.36/23.55 # Proof object initial clauses used : 16
% 0.36/23.55 # Proof object initial formulas used : 9
% 0.36/23.55 # Proof object generating inferences : 21
% 0.36/23.55 # Proof object simplifying inferences : 19
% 0.36/23.55 # Training examples: 0 positive, 0 negative
% 0.36/23.55 # Parsed axioms : 56
% 0.36/23.55 # Removed by relevancy pruning/SinE : 0
% 0.36/23.55 # Initial clauses : 420
% 0.36/23.55 # Removed in clause preprocessing : 10
% 0.36/23.55 # Initial clauses in saturation : 410
% 0.36/23.55 # Processed clauses : 651
% 0.36/23.55 # ...of these trivial : 20
% 0.36/23.55 # ...subsumed : 90
% 0.36/23.55 # ...remaining for further processing : 541
% 0.36/23.55 # Other redundant clauses eliminated : 36
% 0.36/23.55 # Clauses deleted for lack of memory : 0
% 0.36/23.55 # Backward-subsumed : 4
% 0.36/23.55 # Backward-rewritten : 18
% 0.36/23.55 # Generated clauses : 1788
% 0.36/23.55 # ...of the previous two non-trivial : 1655
% 0.36/23.55 # Contextual simplify-reflections : 0
% 0.36/23.55 # Paramodulations : 1623
% 0.36/23.55 # Factorizations : 3
% 0.36/23.55 # Equation resolutions : 173
% 0.36/23.55 # Current number of processed clauses : 501
% 0.36/23.55 # Positive orientable unit clauses : 51
% 0.36/23.55 # Positive unorientable unit clauses: 0
% 0.36/23.55 # Negative unit clauses : 29
% 0.36/23.55 # Non-unit-clauses : 421
% 0.36/23.55 # Current number of unprocessed clauses: 922
% 0.36/23.55 # ...number of literals in the above : 3027
% 0.36/23.55 # Current number of archived formulas : 0
% 0.36/23.55 # Current number of archived clauses : 22
% 0.36/23.55 # Clause-clause subsumption calls (NU) : 12096
% 0.36/23.55 # Rec. Clause-clause subsumption calls : 2241
% 0.36/23.55 # Non-unit clause-clause subsumptions : 75
% 0.36/23.55 # Unit Clause-clause subsumption calls : 3292
% 0.36/23.55 # Rewrite failures with RHS unbound : 0
% 0.36/23.55 # BW rewrite match attempts : 66
% 0.36/23.55 # BW rewrite match successes : 10
% 0.36/23.55 # Condensation attempts : 0
% 0.36/23.55 # Condensation successes : 0
% 0.36/23.55 # Termbank termtop insertions : 68734
% 0.36/23.55
% 0.36/23.55 # -------------------------------------------------
% 0.36/23.55 # User time : 0.048 s
% 0.36/23.55 # System time : 0.002 s
% 0.36/23.55 # Total time : 0.050 s
% 0.36/23.55 # Maximum resident set size: 5648 pages
% 0.36/46.43 eprover: CPU time limit exceeded, terminating
% 0.36/46.43 eprover: CPU time limit exceeded, terminating
% 0.36/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.44 eprover: No such file or directory
% 0.36/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.45 eprover: No such file or directory
% 0.36/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.45 eprover: No such file or directory
% 0.36/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.45 eprover: No such file or directory
% 0.36/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.45 eprover: No such file or directory
% 0.36/46.46 eprover: CPU time limit exceeded, terminating
% 0.36/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.46 eprover: No such file or directory
% 0.36/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.46 eprover: No such file or directory
% 0.36/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.46 eprover: No such file or directory
% 0.36/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.46 eprover: No such file or directory
% 0.36/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.47 eprover: No such file or directory
% 0.36/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.47 eprover: No such file or directory
% 0.36/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.47 eprover: No such file or directory
% 0.36/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.47 eprover: No such file or directory
% 0.36/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.47 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.48 eprover: No such file or directory
% 0.36/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.49 eprover: No such file or directory
% 0.36/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.49 eprover: No such file or directory
% 0.36/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.49 eprover: No such file or directory
% 0.36/46.49 eprover: No such file or directory
% 0.36/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/46.49 eprover: No such file or directory
% 0.36/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.50 eprover: No such file or directory
% 0.36/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.50 eprover: No such file or directory
% 0.36/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.51 eprover: No such file or directory
% 0.36/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/46.51 eprover: No such file or directory
%------------------------------------------------------------------------------