TSTP Solution File: HWV089+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 18:31:10 EDT 2022
% Result : Theorem 21.08s 21.33s
% Output : CNFRefutation 21.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 22 unt; 0 def)
% Number of atoms : 182 ( 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 : 74 ( 12 sgn 49 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(addAssertion,conjecture,
! [VarCurr] :
( reachableState(VarCurr)
=> v4(VarCurr) ) ).
fof(writeUnaryOperator_347,axiom,
! [VarCurr] :
( ~ v4(VarCurr)
<=> v3674(VarCurr) ) ).
fof(writeUnaryOperator_346,axiom,
! [VarCurr] :
( ~ v3674(VarCurr)
<=> v3675(VarCurr) ) ).
fof(writeBinaryOperatorEqualRangesSingleBits_740,axiom,
! [VarCurr] :
( v3675(VarCurr)
<=> ( v3677(VarCurr)
& v3693(VarCurr) ) ) ).
fof(writeBinaryOperatorShiftedRanges_555,axiom,
! [VarCurr] :
( v3693(VarCurr)
<=> ( v3679(VarCurr,bitIndex0)
| v3679(VarCurr,bitIndex1) ) ) ).
fof(writeUnaryOperator_345,axiom,
! [VarCurr] :
( ~ v3677(VarCurr)
<=> v3678(VarCurr) ) ).
fof(writeBinaryOperatorShiftedRanges_554,axiom,
! [VarCurr] :
( v3678(VarCurr)
<=> ( v3679(VarCurr,bitIndex0)
& v3679(VarCurr,bitIndex1) ) ) ).
fof(addAssignment_2619,axiom,
! [VarCurr] :
( v3679(VarCurr,bitIndex0)
<=> v3680(VarCurr) ) ).
fof(addAssignment_2618,axiom,
! [VarCurr] :
( v3679(VarCurr,bitIndex1)
<=> $true ) ).
fof(writeBinaryOperatorShiftedRanges_553,axiom,
! [VarCurr] :
( v3680(VarCurr)
<=> ( v3682(VarCurr)
& v3684(VarCurr,bitIndex5) ) ) ).
fof(addZeroExtensionConstraint_5,axiom,
! [VarCurr] : ~ v3684(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] :
( ~ v3674(VarCurr)
<=> v4(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_347]) ).
fof(normalize_0_4,plain,
! [VarCurr] :
( ~ v3674(VarCurr)
<=> v4(VarCurr) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [VarCurr] :
( ( ~ v3674(VarCurr)
| ~ v4(VarCurr) )
& ( v3674(VarCurr)
| v4(VarCurr) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [VarCurr] :
( v3674(VarCurr)
| v4(VarCurr) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [VarCurr] :
( ~ v3674(VarCurr)
<=> v3675(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_346]) ).
fof(normalize_0_8,plain,
! [VarCurr] :
( ~ v3674(VarCurr)
<=> v3675(VarCurr) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [VarCurr] :
( ( ~ v3674(VarCurr)
| ~ v3675(VarCurr) )
& ( v3674(VarCurr)
| v3675(VarCurr) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [VarCurr] :
( ~ v3674(VarCurr)
| ~ v3675(VarCurr) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [VarCurr] :
( ~ v3675(VarCurr)
<=> ( ~ v3677(VarCurr)
| ~ v3693(VarCurr) ) ),
inference(canonicalize,[],[writeBinaryOperatorEqualRangesSingleBits_740]) ).
fof(normalize_0_12,plain,
! [VarCurr] :
( ~ v3675(VarCurr)
<=> ( ~ v3677(VarCurr)
| ~ v3693(VarCurr) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [VarCurr] :
( ( ~ v3675(VarCurr)
| v3677(VarCurr) )
& ( ~ v3675(VarCurr)
| v3693(VarCurr) )
& ( ~ v3677(VarCurr)
| ~ v3693(VarCurr)
| v3675(VarCurr) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [VarCurr] :
( ~ v3677(VarCurr)
| ~ v3693(VarCurr)
| v3675(VarCurr) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [VarCurr] :
( ~ v3693(VarCurr)
<=> ( ~ v3679(VarCurr,bitIndex0)
& ~ v3679(VarCurr,bitIndex1) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_555]) ).
fof(normalize_0_16,plain,
! [VarCurr] :
( ~ v3693(VarCurr)
<=> ( ~ v3679(VarCurr,bitIndex0)
& ~ v3679(VarCurr,bitIndex1) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [VarCurr] :
( ( ~ v3679(VarCurr,bitIndex0)
| v3693(VarCurr) )
& ( ~ v3679(VarCurr,bitIndex1)
| v3693(VarCurr) )
& ( ~ v3693(VarCurr)
| v3679(VarCurr,bitIndex0)
| v3679(VarCurr,bitIndex1) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [VarCurr] :
( ~ v3679(VarCurr,bitIndex1)
| v3693(VarCurr) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [VarCurr] : v3679(VarCurr,bitIndex1),
inference(canonicalize,[],[addAssignment_2618]) ).
fof(normalize_0_20,plain,
! [VarCurr] : v3679(VarCurr,bitIndex1),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [VarCurr] :
( ~ v3677(VarCurr)
<=> v3678(VarCurr) ),
inference(canonicalize,[],[writeUnaryOperator_345]) ).
fof(normalize_0_22,plain,
! [VarCurr] :
( ~ v3677(VarCurr)
<=> v3678(VarCurr) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [VarCurr] :
( ( ~ v3677(VarCurr)
| ~ v3678(VarCurr) )
& ( v3677(VarCurr)
| v3678(VarCurr) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [VarCurr] :
( v3677(VarCurr)
| v3678(VarCurr) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [VarCurr] :
( ~ v3678(VarCurr)
<=> ( ~ v3679(VarCurr,bitIndex0)
| ~ v3679(VarCurr,bitIndex1) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_554]) ).
fof(normalize_0_26,plain,
! [VarCurr] :
( ~ v3678(VarCurr)
<=> ( ~ v3679(VarCurr,bitIndex0)
| ~ v3679(VarCurr,bitIndex1) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [VarCurr] :
( ( ~ v3678(VarCurr)
| v3679(VarCurr,bitIndex0) )
& ( ~ v3678(VarCurr)
| v3679(VarCurr,bitIndex1) )
& ( ~ v3679(VarCurr,bitIndex0)
| ~ v3679(VarCurr,bitIndex1)
| v3678(VarCurr) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [VarCurr] :
( ~ v3678(VarCurr)
| v3679(VarCurr,bitIndex0) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [VarCurr] :
( ~ v3679(VarCurr,bitIndex0)
<=> ~ v3680(VarCurr) ),
inference(canonicalize,[],[addAssignment_2619]) ).
fof(normalize_0_30,plain,
! [VarCurr] :
( ~ v3679(VarCurr,bitIndex0)
<=> ~ v3680(VarCurr) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [VarCurr] :
( ( ~ v3679(VarCurr,bitIndex0)
| v3680(VarCurr) )
& ( ~ v3680(VarCurr)
| v3679(VarCurr,bitIndex0) ) ),
inference(clausify,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [VarCurr] :
( ~ v3679(VarCurr,bitIndex0)
| v3680(VarCurr) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [VarCurr] :
( ~ v3680(VarCurr)
<=> ( ~ v3682(VarCurr)
| ~ v3684(VarCurr,bitIndex5) ) ),
inference(canonicalize,[],[writeBinaryOperatorShiftedRanges_553]) ).
fof(normalize_0_34,plain,
! [VarCurr] :
( ~ v3680(VarCurr)
<=> ( ~ v3682(VarCurr)
| ~ v3684(VarCurr,bitIndex5) ) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [VarCurr] :
( ( ~ v3680(VarCurr)
| v3682(VarCurr) )
& ( ~ v3680(VarCurr)
| v3684(VarCurr,bitIndex5) )
& ( ~ v3682(VarCurr)
| ~ v3684(VarCurr,bitIndex5)
| v3680(VarCurr) ) ),
inference(clausify,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [VarCurr] :
( ~ v3680(VarCurr)
| v3684(VarCurr,bitIndex5) ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [VarCurr] : ~ v3684(VarCurr,bitIndex5),
inference(canonicalize,[],[addZeroExtensionConstraint_5]) ).
fof(normalize_0_38,plain,
! [VarCurr] : ~ v3684(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,
( v3674(VarCurr)
| v4(VarCurr) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( v3674(skolemFOFtoCNF_VarCurr)
| v4(skolemFOFtoCNF_VarCurr) ),
inference(subst,[],[refute_0_1:[bind(VarCurr,$fot(skolemFOFtoCNF_VarCurr))]]) ).
cnf(refute_0_3,plain,
v3674(skolemFOFtoCNF_VarCurr),
inference(resolve,[$cnf( v4(skolemFOFtoCNF_VarCurr) )],[refute_0_2,refute_0_0]) ).
cnf(refute_0_4,plain,
( ~ v3674(VarCurr)
| ~ v3675(VarCurr) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ v3674(X_4217)
| ~ v3675(X_4217) ),
inference(subst,[],[refute_0_4:[bind(VarCurr,$fot(X_4217))]]) ).
cnf(refute_0_6,plain,
( ~ v3677(VarCurr)
| ~ v3693(VarCurr)
| v3675(VarCurr) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_7,plain,
( ~ v3679(VarCurr,bitIndex1)
| v3693(VarCurr) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_8,plain,
v3679(VarCurr,bitIndex1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_9,plain,
v3693(VarCurr),
inference(resolve,[$cnf( v3679(VarCurr,bitIndex1) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( ~ v3677(VarCurr)
| v3675(VarCurr) ),
inference(resolve,[$cnf( v3693(VarCurr) )],[refute_0_9,refute_0_6]) ).
cnf(refute_0_11,plain,
( ~ v3677(X_4216)
| v3675(X_4216) ),
inference(subst,[],[refute_0_10:[bind(VarCurr,$fot(X_4216))]]) ).
cnf(refute_0_12,plain,
( v3677(VarCurr)
| v3678(VarCurr) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_13,plain,
( v3677(X_4215)
| v3678(X_4215) ),
inference(subst,[],[refute_0_12:[bind(VarCurr,$fot(X_4215))]]) ).
cnf(refute_0_14,plain,
( ~ v3678(VarCurr)
| v3679(VarCurr,bitIndex0) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_15,plain,
( ~ v3679(VarCurr,bitIndex0)
| v3680(VarCurr) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_16,plain,
( ~ v3680(VarCurr)
| v3684(VarCurr,bitIndex5) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_17,plain,
~ v3684(VarCurr,bitIndex5),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_18,plain,
~ v3680(VarCurr),
inference(resolve,[$cnf( v3684(VarCurr,bitIndex5) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
~ v3679(VarCurr,bitIndex0),
inference(resolve,[$cnf( v3680(VarCurr) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
~ v3678(VarCurr),
inference(resolve,[$cnf( v3679(VarCurr,bitIndex0) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
~ v3678(X_4215),
inference(subst,[],[refute_0_20:[bind(VarCurr,$fot(X_4215))]]) ).
cnf(refute_0_22,plain,
v3677(X_4215),
inference(resolve,[$cnf( v3678(X_4215) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
v3677(X_4216),
inference(subst,[],[refute_0_22:[bind(X_4215,$fot(X_4216))]]) ).
cnf(refute_0_24,plain,
v3675(X_4216),
inference(resolve,[$cnf( v3677(X_4216) )],[refute_0_23,refute_0_11]) ).
cnf(refute_0_25,plain,
v3675(X_4217),
inference(subst,[],[refute_0_24:[bind(X_4216,$fot(X_4217))]]) ).
cnf(refute_0_26,plain,
~ v3674(X_4217),
inference(resolve,[$cnf( v3675(X_4217) )],[refute_0_25,refute_0_5]) ).
cnf(refute_0_27,plain,
~ v3674(skolemFOFtoCNF_VarCurr),
inference(subst,[],[refute_0_26:[bind(X_4217,$fot(skolemFOFtoCNF_VarCurr))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( v3674(skolemFOFtoCNF_VarCurr) )],[refute_0_3,refute_0_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 22:39:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 21.08/21.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.08/21.33
% 21.08/21.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.15/21.35
%------------------------------------------------------------------------------