%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM135+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:11:38 PM UTC 2026
% Result : Theorem 3.19s 0.94s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 21 unt; 0 def)
% Number of atoms : 235 ( 158 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 262 ( 83 ~; 115 |; 40 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 189 ( 12 sgn 121 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X6 = vvar(X21)
& X4 = X11
& X1 = X9 )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( vtcheck(vbind(X9,X10,X20),X11,X15)
& ~ visFreeVar(X9,X11) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof('T-subst-var',conjecture,
! [X15,X20,X9,X11,X21,X34] :
( ( vtcheck(vbind(X9,X15,X20),vvar(X21),X34)
& vtcheck(X20,X11,X15) )
=> vtcheck(X20,vsubst(X9,X11,vvar(X21)),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-var') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X4 = vvar(X9)
& X1 = X14 )
=> ( ( visFreeVar(X1,X4)
=> X9 = X14 )
& ( X9 = X14
=> visFreeVar(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X12,X13,X10] :
( vtcheck(X20,X13,X10)
& vtcheck(X20,X12,varrow(X10,X15))
& X11 = vapp(X12,X13) )
| ? [X9,X13,X33,X34] :
( vtcheck(vbind(X9,X33,X20),X13,X34)
& X15 = varrow(X33,X34)
& X11 = vabs(X9,X33,X13) )
| ? [X9] :
( vlookup(X9,X20) = vsomeType(X15)
& X11 = vvar(X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( X1 = X2
=> vvar(X1) = vvar(X2) )
& ( vvar(X1) = vvar(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X16 = vbind(X21,X22,X20)
& X1 = X9 )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X6 = vvar(X21)
& X4 = X11
& X1 = X9 )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(c_0_11,plain,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X6 = vvar(X21)
& X4 = X11
& X1 = X9 )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
inference(fof_simplification,[status(thm)],[subst1]) ).
fof(c_0_12,plain,
! [X9,X10,X20,X11,X15] :
( ( vtcheck(vbind(X9,X10,X20),X11,X15)
& ~ visFreeVar(X9,X11) )
=> vtcheck(X20,X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong']) ).
fof(c_0_13,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X34] :
( ( vtcheck(vbind(X9,X15,X20),vvar(X21),X34)
& vtcheck(X20,X11,X15) )
=> vtcheck(X20,vsubst(X9,X11,vvar(X21)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-var']) ).
fof(c_0_14,plain,
! [X154,X155,X156,X157,X158,X159,X160] :
( X159 = vvar(X160)
| X159 != vsubst(X156,X157,X158)
| X155 = X160
| X158 != vvar(X160)
| X157 != X154
| X156 != X155 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X68,X69,X70,X71] :
( ( X69 != vvar(X70)
| X68 != X71
| X70 = X71
| ~ visFreeVar(X68,X69) )
& ( X69 != vvar(X70)
| X68 != X71
| visFreeVar(X68,X69)
| X70 != X71 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])])]) ).
fof(c_0_16,plain,
! [X301,X302,X303,X304,X305] :
( vtcheck(X303,X304,X305)
| ~ vtcheck(vbind(X301,X302,X303),X304,X305)
| visFreeVar(X301,X304) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,negated_conjecture,
( ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0)
& vtcheck(esk33_0,esk35_0,esk32_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_18,plain,
( X7 != vsubst(X1,X3,X5)
| X5 != vvar(X6)
| X3 != X4
| X1 != X2
| X7 = vvar(X6)
| X2 = X6 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
inference(fof_simplification,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_20,plain,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
inference(fof_simplification,[status(thm)],['DIFF-var-app']) ).
cnf(c_0_21,plain,
( X2 != vvar(X3)
| X1 != X4
| ~ visFreeVar(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ~ vtcheck(vbind(X1,X3,X4),X2,X5)
| vtcheck(X4,X2,X5)
| visFreeVar(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( X1 = X3
| vsubst(X1,X2,vvar(X3)) = vvar(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])])])]) ).
fof(c_0_26,plain,
! [X285,X286,X287] :
( ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
& ( ~ vtcheck(X287,X285,X286)
| X285 = vvar(esk24_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])]) ).
fof(c_0_27,plain,
! [X47,X48,X49,X50] : vvar(X47) != vabs(X48,X49,X50),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_28,plain,
! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
cnf(c_0_29,plain,
( ~ visFreeVar(X2,vvar(X1))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).
cnf(c_0_30,negated_conjecture,
( visFreeVar(esk34_0,vvar(esk36_0))
| vtcheck(esk33_0,vvar(esk36_0),esk37_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( ~ vtcheck(esk33_0,vvar(esk36_0),esk37_0)
| esk36_0 = esk34_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_32,plain,
! [X35,X36] :
( ( vvar(X35) = vvar(X36)
| X35 != X36 )
& ( X35 = X36
| vvar(X35) != vvar(X36) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])])]) ).
cnf(c_0_33,plain,
( ~ vtcheck(X3,X1,X2)
| X1 = vvar(esk24_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
esk36_0 = esk34_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,plain,
( vvar(X1) != vvar(X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
vvar(esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0))) = vvar(esk34_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_34]),c_0_35]),c_0_36]),c_0_36]) ).
fof(c_0_39,plain,
! [X105,X106,X107,X108,X109,X110,X111] :
( X110 = vsomeType(X111)
| X110 != vlookup(X108,X109)
| X106 != X107
| X109 != vbind(X107,X111,X105)
| X108 != X106 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])])]) ).
fof(c_0_40,plain,
! [X147,X148,X149,X150,X151,X152,X153] :
( X152 = X153
| X152 != vsubst(X149,X150,X151)
| X147 != X148
| X151 != vvar(X148)
| X150 != X153
| X149 != X147 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])])]) ).
fof(c_0_41,plain,
! [X98,X99,X100] :
( X99 = X100
| X99 != vgetSomeType(X98)
| X98 != vsomeType(X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])])]) ).
cnf(c_0_42,negated_conjecture,
( vvar(esk34_0) != vvar(X1)
| esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)) = X1 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( X7 != vlookup(X1,X3)
| X2 != X4
| X3 != vbind(X4,X5,X6)
| X1 != X2
| X7 = vsomeType(X5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
( X7 != vsubst(X1,X3,X5)
| X2 != X6
| X5 != vvar(X6)
| X3 != X4
| X1 != X2
| X7 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
( X3 != vgetSomeType(X1)
| X1 != vsomeType(X2)
| X3 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,plain,
( ~ vtcheck(X3,X1,X2)
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,negated_conjecture,
esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)) = esk34_0,
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
vlookup(X1,vbind(X1,X2,X3)) = vsomeType(X2),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_49,plain,
vsubst(X1,X2,vvar(X1)) = X2,
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])])])])]) ).
cnf(c_0_50,plain,
vgetSomeType(vsomeType(X1)) = X1,
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_51,negated_conjecture,
vsomeType(esk37_0) = vsomeType(esk32_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_46,c_0_23]),c_0_34]),c_0_35]),c_0_36]),c_0_47]),c_0_48]) ).
cnf(c_0_52,negated_conjecture,
~ vtcheck(esk33_0,esk35_0,esk37_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
esk37_0 = esk32_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM135+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 14:20:14 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 3.19/0.94 % Version: 3.5.1
% 3.19/0.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.19/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.19/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.19/0.94 % Starting new_bool_3 with 300s (1) cores
% 3.19/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.19/0.94 % Starting sh5l with 300s (1) cores
% 3.19/0.94 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2117173 completed with status 0
% 3.19/0.94 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.19/0.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.19/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.19/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.19/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.19/0.94 % No SInE strategy applied
% 3.19/0.94 % Search class: FGHSF-FSLF32-MFFFFFNN
% 3.19/0.94 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.19/0.94 % Starting SubtermCWHack with 136s (1) cores
% 3.19/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.19/0.94 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 3.19/0.94 % Starting new_bool_3 with 136s (1) cores
% 3.19/0.94 % Starting new_bool_1 with 136s (1) cores
% 3.19/0.94 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2117181 completed with status 0
% 3.19/0.94 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.19/0.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.19/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.19/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.19/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.19/0.94 % No SInE strategy applied
% 3.19/0.94 % Search class: FGHSF-FSLF32-MFFFFFNN
% 3.19/0.94 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.19/0.94 % Starting SubtermCWHack with 136s (1) cores
% 3.19/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.19/0.94 % Preprocessing time : 0.013 s
% 3.19/0.94 % Presaturation interreduction done
% 3.19/0.94
% 3.19/0.94 % Proof found!
% 3.19/0.94 % SZS status Theorem
% 3.19/0.94 % SZS output start CNFRefutation
% See solution above
% 3.19/0.94 % Parsed axioms : 58
% 3.19/0.94 % Removed by relevancy pruning/SinE : 0
% 3.19/0.94 % Initial clauses : 424
% 3.19/0.94 % Removed in clause preprocessing : 13
% 3.19/0.94 % Initial clauses in saturation : 411
% 3.19/0.94 % Processed clauses : 972
% 3.19/0.94 % ...of these trivial : 19
% 3.19/0.94 % ...subsumed : 50
% 3.19/0.94 % ...remaining for further processing : 903
% 3.19/0.94 % Other redundant clauses eliminated : 298
% 3.19/0.94 % Clauses deleted for lack of memory : 0
% 3.19/0.94 % Backward-subsumed : 0
% 3.19/0.94 % Backward-rewritten : 50
% 3.19/0.94 % Generated clauses : 2037
% 3.19/0.94 % ...of the previous two non-redundant : 1870
% 3.19/0.94 % ...aggressively subsumed : 0
% 3.19/0.94 % Contextual simplify-reflections : 1
% 3.19/0.94 % Paramodulations : 1776
% 3.19/0.94 % Factorizations : 0
% 3.19/0.94 % NegExts : 0
% 3.19/0.94 % Equation resolutions : 313
% 3.19/0.94 % Disequality decompositions : 0
% 3.19/0.94 % Total rewrite steps : 169
% 3.19/0.94 % ...of those cached : 130
% 3.19/0.94 % Propositional unsat checks : 0
% 3.19/0.94 % Propositional check models : 0
% 3.19/0.94 % Propositional check unsatisfiable : 0
% 3.19/0.94 % Propositional clauses : 0
% 3.19/0.94 % Propositional clauses after purity: 0
% 3.19/0.94 % Propositional unsat core size : 0
% 3.19/0.94 % Propositional preprocessing time : 0.000
% 3.19/0.94 % Propositional encoding time : 0.000
% 3.19/0.94 % Propositional solver time : 0.000
% 3.19/0.94 % Success case prop preproc time : 0.000
% 3.19/0.94 % Success case prop encoding time : 0.000
% 3.19/0.94 % Success case prop solver time : 0.000
% 3.19/0.94 % Current number of processed clauses : 388
% 3.19/0.94 % Positive orientable unit clauses : 24
% 3.19/0.94 % Positive unorientable unit clauses: 0
% 3.19/0.94 % Negative unit clauses : 17
% 3.19/0.94 % Non-unit-clauses : 347
% 3.19/0.94 % Current number of unprocessed clauses: 1670
% 3.19/0.94 % ...number of literals in the above : 6457
% 3.19/0.94 % Current number of archived formulas : 0
% 3.19/0.94 % Current number of archived clauses : 421
% 3.19/0.94 % Clause-clause subsumption calls (NU) : 61183
% 3.19/0.94 % Rec. Clause-clause subsumption calls : 15061
% 3.19/0.94 % Non-unit clause-clause subsumptions : 43
% 3.19/0.94 % Unit Clause-clause subsumption calls : 3292
% 3.19/0.94 % Rewrite failures with RHS unbound : 0
% 3.19/0.94 % BW rewrite match attempts : 22
% 3.19/0.94 % BW rewrite match successes : 6
% 3.19/0.94 % Condensation attempts : 0
% 3.19/0.94 % Condensation successes : 0
% 3.19/0.94 % Termbank termtop insertions : 84727
% 3.19/0.94 % Search garbage collected termcells : 3996
% 3.19/0.94
% 3.19/0.94 % -------------------------------------------------
% 3.19/0.94 % User time : 0.252 s
% 3.19/0.94 % System time : 0.016 s
% 3.19/0.94 % Total time : 0.268 s
% 3.19/0.94 % Maximum resident set size: 4516 pages
% 3.19/0.94
% 3.19/0.94 % -------------------------------------------------
% 3.19/0.94 % User time : 1.736 s
% 3.19/0.94 % System time : 0.079 s
% 3.19/0.94 % Total time : 1.815 s
% 3.19/0.94 % Maximum resident set size: 4864 pages
% 3.19/0.94 % E exiting
%------------------------------------------------------------------------------