TSTP Solution File: HWV089+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : 300s
% DateTime : Tue Apr 30 12:33:09 EDT 2024
% Result : Theorem 4.23s 1.11s
% Output : Refutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 55 ~; 33 |; 19 &)
% ( 18 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 59 ( 57 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44418,plain,
$false,
inference(resolution,[],[f44417,f28277]) ).
fof(f28277,plain,
! [X0] : v3679(X0,bitIndex1),
inference(cnf_transformation,[],[f9258]) ).
fof(f9258,plain,
! [X0] : v3679(X0,bitIndex1),
inference(true_and_false_elimination,[],[f9257]) ).
fof(f9257,plain,
! [X0] :
( v3679(X0,bitIndex1)
<=> $true ),
inference(rectify,[],[f330]) ).
fof(f330,axiom,
! [X1] :
( v3679(X1,bitIndex1)
<=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_2618) ).
fof(f44417,plain,
~ v3679(sK190,bitIndex1),
inference(resolution,[],[f44416,f26082]) ).
fof(f26082,plain,
! [X0] :
( v3693(X0)
| ~ v3679(X0,bitIndex1) ),
inference(cnf_transformation,[],[f12761]) ).
fof(f12761,plain,
! [X0] :
( v3693(X0)
| ( ~ v3679(X0,bitIndex1)
& ~ v3679(X0,bitIndex0) ) ),
inference(ennf_transformation,[],[f12065]) ).
fof(f12065,plain,
! [X0] :
( ( v3679(X0,bitIndex1)
| v3679(X0,bitIndex0) )
=> v3693(X0) ),
inference(unused_predicate_definition_removal,[],[f8404]) ).
fof(f8404,plain,
! [X0] :
( v3693(X0)
<=> ( v3679(X0,bitIndex1)
| v3679(X0,bitIndex0) ) ),
inference(rectify,[],[f326]) ).
fof(f326,axiom,
! [X1] :
( v3693(X1)
<=> ( v3679(X1,bitIndex1)
| v3679(X1,bitIndex0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_555) ).
fof(f44416,plain,
~ v3693(sK190),
inference(resolution,[],[f44415,f20323]) ).
fof(f20323,plain,
~ v4(sK190),
inference(cnf_transformation,[],[f13583]) ).
fof(f13583,plain,
( ~ v4(sK190)
& reachableState(sK190) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK190])],[f12325,f13582]) ).
fof(f13582,plain,
( ? [X0] :
( ~ v4(X0)
& reachableState(X0) )
=> ( ~ v4(sK190)
& reachableState(sK190) ) ),
introduced(choice_axiom,[]) ).
fof(f12325,plain,
? [X0] :
( ~ v4(X0)
& reachableState(X0) ),
inference(ennf_transformation,[],[f6281]) ).
fof(f6281,plain,
~ ! [X0] :
( reachableState(X0)
=> v4(X0) ),
inference(rectify,[],[f322]) ).
fof(f322,negated_conjecture,
~ ! [X1] :
( reachableState(X1)
=> v4(X1) ),
inference(negated_conjecture,[],[f321]) ).
fof(f321,conjecture,
! [X1] :
( reachableState(X1)
=> v4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).
fof(f44415,plain,
! [X0] :
( v4(X0)
| ~ v3693(X0) ),
inference(resolution,[],[f44411,f23439]) ).
fof(f23439,plain,
! [X0] :
( v3674(X0)
| v4(X0) ),
inference(cnf_transformation,[],[f12757]) ).
fof(f12757,plain,
! [X0] :
( v3674(X0)
| v4(X0) ),
inference(ennf_transformation,[],[f12062]) ).
fof(f12062,plain,
! [X0] :
( ~ v4(X0)
=> v3674(X0) ),
inference(unused_predicate_definition_removal,[],[f7373]) ).
fof(f7373,plain,
! [X0] :
( ~ v4(X0)
<=> v3674(X0) ),
inference(rectify,[],[f323]) ).
fof(f323,axiom,
! [X1] :
( ~ v4(X1)
<=> v3674(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_347) ).
fof(f44411,plain,
! [X0] :
( ~ v3674(X0)
| ~ v3693(X0) ),
inference(resolution,[],[f39641,f37971]) ).
fof(f37971,plain,
! [X0] : v3677(X0),
inference(resolution,[],[f37970,f22941]) ).
fof(f22941,plain,
! [X0] :
( v3678(X0)
| v3677(X0) ),
inference(cnf_transformation,[],[f12755]) ).
fof(f12755,plain,
! [X0] :
( v3678(X0)
| v3677(X0) ),
inference(ennf_transformation,[],[f12066]) ).
fof(f12066,plain,
! [X0] :
( ~ v3677(X0)
=> v3678(X0) ),
inference(unused_predicate_definition_removal,[],[f7123]) ).
fof(f7123,plain,
! [X0] :
( ~ v3677(X0)
<=> v3678(X0) ),
inference(rectify,[],[f327]) ).
fof(f327,axiom,
! [X1] :
( ~ v3677(X1)
<=> v3678(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_345) ).
fof(f37970,plain,
! [X0] : ~ v3678(X0),
inference(resolution,[],[f37969,f24813]) ).
fof(f24813,plain,
! [X0] :
( v3679(X0,bitIndex0)
| ~ v3678(X0) ),
inference(cnf_transformation,[],[f12760]) ).
fof(f12760,plain,
! [X0] :
( ( v3679(X0,bitIndex1)
& v3679(X0,bitIndex0) )
| ~ v3678(X0) ),
inference(ennf_transformation,[],[f12067]) ).
fof(f12067,plain,
! [X0] :
( v3678(X0)
=> ( v3679(X0,bitIndex1)
& v3679(X0,bitIndex0) ) ),
inference(unused_predicate_definition_removal,[],[f7935]) ).
fof(f7935,plain,
! [X0] :
( v3678(X0)
<=> ( v3679(X0,bitIndex1)
& v3679(X0,bitIndex0) ) ),
inference(rectify,[],[f328]) ).
fof(f328,axiom,
! [X1] :
( v3678(X1)
<=> ( v3679(X1,bitIndex1)
& v3679(X1,bitIndex0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_554) ).
fof(f37969,plain,
! [X0] : ~ v3679(X0,bitIndex0),
inference(resolution,[],[f28278,f37555]) ).
fof(f37555,plain,
! [X0] : ~ v3680(X0),
inference(resolution,[],[f24523,f21095]) ).
fof(f21095,plain,
! [X0] : ~ v3684(X0,bitIndex5),
inference(cnf_transformation,[],[f6328]) ).
fof(f6328,plain,
! [X0] : ~ v3684(X0,bitIndex5),
inference(rectify,[],[f344]) ).
fof(f344,axiom,
! [X1] : ~ v3684(X1,bitIndex5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_5) ).
fof(f24523,plain,
! [X0] :
( v3684(X0,bitIndex5)
| ~ v3680(X0) ),
inference(cnf_transformation,[],[f14785]) ).
fof(f14785,plain,
! [X0] :
( ( v3680(X0)
| ~ v3684(X0,bitIndex5)
| ~ v3682(X0) )
& ( ( v3684(X0,bitIndex5)
& v3682(X0) )
| ~ v3680(X0) ) ),
inference(flattening,[],[f14784]) ).
fof(f14784,plain,
! [X0] :
( ( v3680(X0)
| ~ v3684(X0,bitIndex5)
| ~ v3682(X0) )
& ( ( v3684(X0,bitIndex5)
& v3682(X0) )
| ~ v3680(X0) ) ),
inference(nnf_transformation,[],[f7838]) ).
fof(f7838,plain,
! [X0] :
( v3680(X0)
<=> ( v3684(X0,bitIndex5)
& v3682(X0) ) ),
inference(rectify,[],[f331]) ).
fof(f331,axiom,
! [X1] :
( v3680(X1)
<=> ( v3684(X1,bitIndex5)
& v3682(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_553) ).
fof(f28278,plain,
! [X0] :
( v3680(X0)
| ~ v3679(X0,bitIndex0) ),
inference(cnf_transformation,[],[f16575]) ).
fof(f16575,plain,
! [X0] :
( ( v3679(X0,bitIndex0)
| ~ v3680(X0) )
& ( v3680(X0)
| ~ v3679(X0,bitIndex0) ) ),
inference(nnf_transformation,[],[f9259]) ).
fof(f9259,plain,
! [X0] :
( v3679(X0,bitIndex0)
<=> v3680(X0) ),
inference(rectify,[],[f329]) ).
fof(f329,axiom,
! [X1] :
( v3679(X1,bitIndex0)
<=> v3680(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_2619) ).
fof(f39641,plain,
! [X0] :
( ~ v3677(X0)
| ~ v3693(X0)
| ~ v3674(X0) ),
inference(resolution,[],[f24149,f22942]) ).
fof(f22942,plain,
! [X0] :
( ~ v3675(X0)
| ~ v3674(X0) ),
inference(cnf_transformation,[],[f12756]) ).
fof(f12756,plain,
! [X0] :
( ~ v3674(X0)
| ~ v3675(X0) ),
inference(ennf_transformation,[],[f12063]) ).
fof(f12063,plain,
! [X0] :
( v3675(X0)
=> ~ v3674(X0) ),
inference(unused_predicate_definition_removal,[],[f7124]) ).
fof(f7124,plain,
! [X0] :
( ~ v3674(X0)
<=> v3675(X0) ),
inference(rectify,[],[f324]) ).
fof(f324,axiom,
! [X1] :
( ~ v3674(X1)
<=> v3675(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_346) ).
fof(f24149,plain,
! [X0] :
( v3675(X0)
| ~ v3693(X0)
| ~ v3677(X0) ),
inference(cnf_transformation,[],[f12759]) ).
fof(f12759,plain,
! [X0] :
( v3675(X0)
| ~ v3693(X0)
| ~ v3677(X0) ),
inference(flattening,[],[f12758]) ).
fof(f12758,plain,
! [X0] :
( v3675(X0)
| ~ v3693(X0)
| ~ v3677(X0) ),
inference(ennf_transformation,[],[f12064]) ).
fof(f12064,plain,
! [X0] :
( ( v3693(X0)
& v3677(X0) )
=> v3675(X0) ),
inference(unused_predicate_definition_removal,[],[f7713]) ).
fof(f7713,plain,
! [X0] :
( v3675(X0)
<=> ( v3693(X0)
& v3677(X0) ) ),
inference(rectify,[],[f325]) ).
fof(f325,axiom,
! [X1] :
( v3675(X1)
<=> ( v3693(X1)
& v3677(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_740) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.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 : 300
% 0.14/0.36 % DateTime : Tue Apr 30 05:13:12 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.37 % (16842)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (16843)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.52 % (16845)WARNING: value z3 for option sas not known
% 0.21/0.52 % (16845)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.53 % (16849)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.53 % (16846)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.53 % (16848)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.53 % (16844)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.53 % (16847)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 4.23/1.10 % (16848)First to succeed.
% 4.23/1.11 % (16848)Refutation found. Thanks to Tanya!
% 4.23/1.11 % SZS status Theorem for theBenchmark
% 4.23/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 4.23/1.11 % (16848)------------------------------
% 4.23/1.11 % (16848)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.23/1.11 % (16848)Termination reason: Refutation
% 4.23/1.11
% 4.23/1.11 % (16848)Memory used [KB]: 24763
% 4.23/1.11 % (16848)Time elapsed: 0.575 s
% 4.23/1.11 % (16848)Instructions burned: 1192 (million)
% 4.23/1.11 % (16848)------------------------------
% 4.23/1.11 % (16848)------------------------------
% 4.23/1.11 % (16842)Success in time 0.722 s
%------------------------------------------------------------------------------