TSTP Solution File: HWV095+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV095+1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Sat Jul 16 18:31:16 EDT 2022
% Result : Theorem 1.45s 1.62s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 23 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 196 ( 95 ~; 54 |; 19 &)
% ( 25 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 77 ( 14 sgn 49 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(addAssertion,conjecture,
! [VarCurr] :
( reachableState(VarCurr)
=> v4(VarCurr) ) ).
fof(writeUnaryOperator_113,axiom,
! [VarCurr] :
( ~ v4(VarCurr)
<=> v995(VarCurr) ) ).
fof(writeUnaryOperator_112,axiom,
! [VarCurr] :
( ~ v995(VarCurr)
<=> v996(VarCurr) ) ).
fof(writeBinaryOperatorEqualRangesSingleBits_170,axiom,
! [VarCurr] :
( v996(VarCurr)
<=> ( v998(VarCurr)
& v1010(VarCurr) ) ) ).
fof(writeBinaryOperatorShiftedRanges_80,axiom,
! [VarCurr] :
( v1010(VarCurr)
<=> ( v1000(VarCurr,bitIndex0)
| v1000(VarCurr,bitIndex1) ) ) ).
fof(writeUnaryOperator_111,axiom,
! [VarCurr] :
( ~ v998(VarCurr)
<=> v999(VarCurr) ) ).
fof(writeBinaryOperatorShiftedRanges_79,axiom,
! [VarCurr] :
( v999(VarCurr)
<=> ( v1000(VarCurr,bitIndex0)
& v1000(VarCurr,bitIndex1) ) ) ).
fof(addAssignment_245,axiom,
! [VarCurr] :
( v1000(VarCurr,bitIndex0)
<=> v1001(VarCurr) ) ).
fof(addAssignment_244,axiom,
! [VarCurr] :
( v1000(VarCurr,bitIndex1)
<=> $true ) ).
fof(writeBinaryOperatorShiftedRanges_78,axiom,
! [VarCurr] :
( v1001(VarCurr)
<=> ( v1003(VarCurr)
& v1007(VarCurr,bitIndex5) ) ) ).
fof(addZeroExtensionConstraint_3,axiom,
! [VarCurr] : ~ v1007(VarCurr,bitIndex5) ).
fof(subgoal_0,plain,
! [VarCurr] :
( reachableState(VarCurr)
=> v4(VarCurr) ),
inference(strip,[],[addAssertion]) ).
fof(negate_0_0,plain,
~ ! [VarCurr] :
( reachableState(VarCurr)
=> v4(VarCurr) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [VarCurr] :
( ~ v4(VarCurr)
& reachableState(VarCurr) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ v4(skolemFOFtoCNF_VarCurr)
& reachableState(skolemFOFtoCNF_VarCurr) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ v4(skolemFOFtoCNF_VarCurr),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [VarCurr] :
( ~ v4(VarCurr)
<=> v995(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_113]) ).
fof(normalize_0_4,plain,
! [VarCurr] :
( ~ v4(VarCurr)
<=> v995(VarCurr) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [VarCurr] :
( ( ~ v4(VarCurr)
| ~ v995(VarCurr) )
& ( v4(VarCurr)
| v995(VarCurr) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [VarCurr] :
( v4(VarCurr)
| v995(VarCurr) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [VarCurr] :
( ~ v995(VarCurr)
<=> v996(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_112]) ).
fof(normalize_0_8,plain,
! [VarCurr] :
( ~ v995(VarCurr)
<=> v996(VarCurr) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [VarCurr] :
( ( ~ v995(VarCurr)
| ~ v996(VarCurr) )
& ( v995(VarCurr)
| v996(VarCurr) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [VarCurr] :
( ~ v995(VarCurr)
| ~ v996(VarCurr) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [VarCurr] :
( ~ v996(VarCurr)
<=> ( ~ v1010(VarCurr)
| ~ v998(VarCurr) ) ),
inference(canonicalize,[],[writeBinaryOperatorEqualRangesSingleBits_170]) ).
fof(normalize_0_12,plain,
! [VarCurr] :
( ~ v996(VarCurr)
<=> ( ~ v1010(VarCurr)
| ~ v998(VarCurr) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [VarCurr] :
( ( ~ v996(VarCurr)
| v1010(VarCurr) )
& ( ~ v996(VarCurr)
| v998(VarCurr) )
& ( ~ v1010(VarCurr)
| ~ v998(VarCurr)
| v996(VarCurr) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [VarCurr] :
( ~ v1010(VarCurr)
| ~ v998(VarCurr)
| v996(VarCurr) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [VarCurr] :
( ~ v1010(VarCurr)
<=> ( ~ v1000(VarCurr,bitIndex0)
& ~ v1000(VarCurr,bitIndex1) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_80]) ).
fof(normalize_0_16,plain,
! [VarCurr] :
( ~ v1010(VarCurr)
<=> ( ~ v1000(VarCurr,bitIndex0)
& ~ v1000(VarCurr,bitIndex1) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [VarCurr] :
( ( ~ v1000(VarCurr,bitIndex0)
| v1010(VarCurr) )
& ( ~ v1000(VarCurr,bitIndex1)
| v1010(VarCurr) )
& ( ~ v1010(VarCurr)
| v1000(VarCurr,bitIndex0)
| v1000(VarCurr,bitIndex1) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [VarCurr] :
( ~ v1000(VarCurr,bitIndex1)
| v1010(VarCurr) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [VarCurr] : v1000(VarCurr,bitIndex1),
inference(canonicalize,[],[addAssignment_244]) ).
fof(normalize_0_20,plain,
! [VarCurr] : v1000(VarCurr,bitIndex1),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [VarCurr] :
( ~ v998(VarCurr)
<=> v999(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_111]) ).
fof(normalize_0_22,plain,
! [VarCurr] :
( ~ v998(VarCurr)
<=> v999(VarCurr) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [VarCurr] :
( ( ~ v998(VarCurr)
| ~ v999(VarCurr) )
& ( v998(VarCurr)
| v999(VarCurr) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [VarCurr] :
( v998(VarCurr)
| v999(VarCurr) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [VarCurr] :
( ~ v999(VarCurr)
<=> ( ~ v1000(VarCurr,bitIndex0)
| ~ v1000(VarCurr,bitIndex1) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_79]) ).
fof(normalize_0_26,plain,
! [VarCurr] :
( ~ v999(VarCurr)
<=> ( ~ v1000(VarCurr,bitIndex0)
| ~ v1000(VarCurr,bitIndex1) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [VarCurr] :
( ( ~ v999(VarCurr)
| v1000(VarCurr,bitIndex0) )
& ( ~ v999(VarCurr)
| v1000(VarCurr,bitIndex1) )
& ( ~ v1000(VarCurr,bitIndex0)
| ~ v1000(VarCurr,bitIndex1)
| v999(VarCurr) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [VarCurr] :
( ~ v999(VarCurr)
| v1000(VarCurr,bitIndex0) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [VarCurr] :
( ~ v1000(VarCurr,bitIndex0)
<=> ~ v1001(VarCurr) ),
inference(canonicalize,[],[addAssignment_245]) ).
fof(normalize_0_30,plain,
! [VarCurr] :
( ~ v1000(VarCurr,bitIndex0)
<=> ~ v1001(VarCurr) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [VarCurr] :
( ( ~ v1000(VarCurr,bitIndex0)
| v1001(VarCurr) )
& ( ~ v1001(VarCurr)
| v1000(VarCurr,bitIndex0) ) ),
inference(clausify,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [VarCurr] :
( ~ v1000(VarCurr,bitIndex0)
| v1001(VarCurr) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [VarCurr] :
( ~ v1001(VarCurr)
<=> ( ~ v1003(VarCurr)
| ~ v1007(VarCurr,bitIndex5) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_78]) ).
fof(normalize_0_34,plain,
! [VarCurr] :
( ~ v1001(VarCurr)
<=> ( ~ v1003(VarCurr)
| ~ v1007(VarCurr,bitIndex5) ) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [VarCurr] :
( ( ~ v1001(VarCurr)
| v1003(VarCurr) )
& ( ~ v1001(VarCurr)
| v1007(VarCurr,bitIndex5) )
& ( ~ v1003(VarCurr)
| ~ v1007(VarCurr,bitIndex5)
| v1001(VarCurr) ) ),
inference(clausify,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [VarCurr] :
( ~ v1001(VarCurr)
| v1007(VarCurr,bitIndex5) ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [VarCurr] : ~ v1007(VarCurr,bitIndex5),
inference(canonicalize,[],[addZeroExtensionConstraint_3]) ).
fof(normalize_0_38,plain,
! [VarCurr] : ~ v1007(VarCurr,bitIndex5),
inference(specialize,[],[normalize_0_37]) ).
cnf(refute_0_0,plain,
~ v4(skolemFOFtoCNF_VarCurr),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( v4(VarCurr)
| v995(VarCurr) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( v4(X_851)
| v995(X_851) ),
inference(subst,[],[refute_0_1:[bind(VarCurr,$fot(X_851))]]) ).
cnf(refute_0_3,plain,
( ~ v995(VarCurr)
| ~ v996(VarCurr) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_4,plain,
( ~ v995(X_850)
| ~ v996(X_850) ),
inference(subst,[],[refute_0_3:[bind(VarCurr,$fot(X_850))]]) ).
cnf(refute_0_5,plain,
( ~ v1010(VarCurr)
| ~ v998(VarCurr)
| v996(VarCurr) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_6,plain,
( ~ v1000(VarCurr,bitIndex1)
| v1010(VarCurr) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_7,plain,
v1000(VarCurr,bitIndex1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_8,plain,
v1010(VarCurr),
inference(resolve,[$cnf( v1000(VarCurr,bitIndex1) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
( ~ v998(VarCurr)
| v996(VarCurr) ),
inference(resolve,[$cnf( v1010(VarCurr) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
( ~ v998(X_849)
| v996(X_849) ),
inference(subst,[],[refute_0_9:[bind(VarCurr,$fot(X_849))]]) ).
cnf(refute_0_11,plain,
( v998(VarCurr)
| v999(VarCurr) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_12,plain,
( v998(X_848)
| v999(X_848) ),
inference(subst,[],[refute_0_11:[bind(VarCurr,$fot(X_848))]]) ).
cnf(refute_0_13,plain,
( ~ v999(VarCurr)
| v1000(VarCurr,bitIndex0) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_14,plain,
( ~ v1000(VarCurr,bitIndex0)
| v1001(VarCurr) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_15,plain,
( ~ v1001(VarCurr)
| v1007(VarCurr,bitIndex5) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_16,plain,
~ v1007(VarCurr,bitIndex5),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_17,plain,
~ v1001(VarCurr),
inference(resolve,[$cnf( v1007(VarCurr,bitIndex5) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
~ v1000(VarCurr,bitIndex0),
inference(resolve,[$cnf( v1001(VarCurr) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
~ v999(VarCurr),
inference(resolve,[$cnf( v1000(VarCurr,bitIndex0) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
~ v999(X_848),
inference(subst,[],[refute_0_19:[bind(VarCurr,$fot(X_848))]]) ).
cnf(refute_0_21,plain,
v998(X_848),
inference(resolve,[$cnf( v999(X_848) )],[refute_0_12,refute_0_20]) ).
cnf(refute_0_22,plain,
v998(X_849),
inference(subst,[],[refute_0_21:[bind(X_848,$fot(X_849))]]) ).
cnf(refute_0_23,plain,
v996(X_849),
inference(resolve,[$cnf( v998(X_849) )],[refute_0_22,refute_0_10]) ).
cnf(refute_0_24,plain,
v996(X_850),
inference(subst,[],[refute_0_23:[bind(X_849,$fot(X_850))]]) ).
cnf(refute_0_25,plain,
~ v995(X_850),
inference(resolve,[$cnf( v996(X_850) )],[refute_0_24,refute_0_4]) ).
cnf(refute_0_26,plain,
~ v995(X_851),
inference(subst,[],[refute_0_25:[bind(X_850,$fot(X_851))]]) ).
cnf(refute_0_27,plain,
v4(X_851),
inference(resolve,[$cnf( v995(X_851) )],[refute_0_2,refute_0_26]) ).
cnf(refute_0_28,plain,
v4(skolemFOFtoCNF_VarCurr),
inference(subst,[],[refute_0_27:[bind(X_851,$fot(skolemFOFtoCNF_VarCurr))]]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( v4(skolemFOFtoCNF_VarCurr) )],[refute_0_28,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : HWV095+1 : TPTP v8.1.0. Released v6.1.0.
% 0.09/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 09:32:27 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.45/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.62
% 1.45/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.45/1.62
%------------------------------------------------------------------------------