TSTP Solution File: HWV095+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV095+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 : n029.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 : Sun May 5 06:44:49 EDT 2024
% Result : Theorem 1.11s 0.55s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 14 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 158 ( 63 ~; 40 |; 25 &)
% ( 20 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 65 ( 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9651,plain,
$false,
inference(resolution,[],[f9650,f7330]) ).
fof(f7330,plain,
! [X0] : v1000(X0,bitIndex1),
inference(cnf_transformation,[],[f2095]) ).
fof(f2095,plain,
! [X0] : v1000(X0,bitIndex1),
inference(true_and_false_elimination,[],[f2094]) ).
fof(f2094,plain,
! [X0] :
( v1000(X0,bitIndex1)
<=> $true ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1] :
( v1000(X1,bitIndex1)
<=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_244) ).
fof(f9650,plain,
~ v1000(sK396,bitIndex1),
inference(resolution,[],[f9649,f6546]) ).
fof(f6546,plain,
! [X0] :
( v1010(X0)
| ~ v1000(X0,bitIndex1) ),
inference(cnf_transformation,[],[f2597]) ).
fof(f2597,plain,
! [X0] :
( v1010(X0)
| ( ~ v1000(X0,bitIndex1)
& ~ v1000(X0,bitIndex0) ) ),
inference(ennf_transformation,[],[f2251]) ).
fof(f2251,plain,
! [X0] :
( ( v1000(X0,bitIndex1)
| v1000(X0,bitIndex0) )
=> v1010(X0) ),
inference(unused_predicate_definition_removal,[],[f1780]) ).
fof(f1780,plain,
! [X0] :
( v1010(X0)
<=> ( v1000(X0,bitIndex1)
| v1000(X0,bitIndex0) ) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X1] :
( v1010(X1)
<=> ( v1000(X1,bitIndex1)
| v1000(X1,bitIndex0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).
fof(f9649,plain,
~ v1010(sK396),
inference(resolution,[],[f9648,f4867]) ).
fof(f4867,plain,
~ v4(sK396),
inference(cnf_transformation,[],[f3118]) ).
fof(f3118,plain,
( ~ v4(sK396)
& reachableState(sK396) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK396])],[f2425,f3117]) ).
fof(f3117,plain,
( ? [X0] :
( ~ v4(X0)
& reachableState(X0) )
=> ( ~ v4(sK396)
& reachableState(sK396) ) ),
introduced(choice_axiom,[]) ).
fof(f2425,plain,
? [X0] :
( ~ v4(X0)
& reachableState(X0) ),
inference(ennf_transformation,[],[f1158]) ).
fof(f1158,plain,
~ ! [X0] :
( reachableState(X0)
=> v4(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X1] :
( reachableState(X1)
=> v4(X1) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X1] :
( reachableState(X1)
=> v4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).
fof(f9648,plain,
! [X0] :
( v4(X0)
| ~ v1010(X0) ),
inference(resolution,[],[f9647,f5837]) ).
fof(f5837,plain,
! [X0] :
( v995(X0)
| v4(X0) ),
inference(cnf_transformation,[],[f2593]) ).
fof(f2593,plain,
! [X0] :
( v995(X0)
| v4(X0) ),
inference(ennf_transformation,[],[f2248]) ).
fof(f2248,plain,
! [X0] :
( ~ v4(X0)
=> v995(X0) ),
inference(unused_predicate_definition_removal,[],[f1524]) ).
fof(f1524,plain,
! [X0] :
( ~ v4(X0)
<=> v995(X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X1] :
( ~ v4(X1)
<=> v995(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_113) ).
fof(f9647,plain,
! [X0] :
( ~ v995(X0)
| ~ v1010(X0) ),
inference(resolution,[],[f9420,f9226]) ).
fof(f9226,plain,
! [X0] : v998(X0),
inference(resolution,[],[f9225,f5670]) ).
fof(f5670,plain,
! [X0] :
( v999(X0)
| v998(X0) ),
inference(cnf_transformation,[],[f2592]) ).
fof(f2592,plain,
! [X0] :
( v999(X0)
| v998(X0) ),
inference(ennf_transformation,[],[f2252]) ).
fof(f2252,plain,
! [X0] :
( ~ v998(X0)
=> v999(X0) ),
inference(unused_predicate_definition_removal,[],[f1440]) ).
fof(f1440,plain,
! [X0] :
( ~ v998(X0)
<=> v999(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X1] :
( ~ v998(X1)
<=> v999(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_111) ).
fof(f9225,plain,
! [X0] : ~ v999(X0),
inference(resolution,[],[f9224,f6190]) ).
fof(f6190,plain,
! [X0] :
( v1000(X0,bitIndex0)
| ~ v999(X0) ),
inference(cnf_transformation,[],[f2596]) ).
fof(f2596,plain,
! [X0] :
( ( v1000(X0,bitIndex1)
& v1000(X0,bitIndex0) )
| ~ v999(X0) ),
inference(ennf_transformation,[],[f2253]) ).
fof(f2253,plain,
! [X0] :
( v999(X0)
=> ( v1000(X0,bitIndex1)
& v1000(X0,bitIndex0) ) ),
inference(unused_predicate_definition_removal,[],[f1671]) ).
fof(f1671,plain,
! [X0] :
( v999(X0)
<=> ( v1000(X0,bitIndex1)
& v1000(X0,bitIndex0) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1] :
( v999(X1)
<=> ( v1000(X1,bitIndex1)
& v1000(X1,bitIndex0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).
fof(f9224,plain,
! [X0] : ~ v1000(X0,bitIndex0),
inference(resolution,[],[f7312,f9103]) ).
fof(f9103,plain,
! [X0] : ~ v1001(X0),
inference(resolution,[],[f9102,f6106]) ).
fof(f6106,plain,
! [X0] :
( v1003(X0)
| ~ v1001(X0) ),
inference(cnf_transformation,[],[f3593]) ).
fof(f3593,plain,
! [X0] :
( ( v1001(X0)
| ~ v1007(X0,bitIndex5)
| ~ v1003(X0) )
& ( ( v1007(X0,bitIndex5)
& v1003(X0) )
| ~ v1001(X0) ) ),
inference(flattening,[],[f3592]) ).
fof(f3592,plain,
! [X0] :
( ( v1001(X0)
| ~ v1007(X0,bitIndex5)
| ~ v1003(X0) )
& ( ( v1007(X0,bitIndex5)
& v1003(X0) )
| ~ v1001(X0) ) ),
inference(nnf_transformation,[],[f1643]) ).
fof(f1643,plain,
! [X0] :
( v1001(X0)
<=> ( v1007(X0,bitIndex5)
& v1003(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1] :
( v1001(X1)
<=> ( v1007(X1,bitIndex5)
& v1003(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).
fof(f9102,plain,
! [X0] : ~ v1003(X0),
inference(resolution,[],[f6104,f4930]) ).
fof(f4930,plain,
! [X0] : ~ v1007(X0,bitIndex4),
inference(cnf_transformation,[],[f1165]) ).
fof(f1165,plain,
! [X0] : ~ v1007(X0,bitIndex4),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X1] : ~ v1007(X1,bitIndex4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_4) ).
fof(f6104,plain,
! [X0] :
( v1007(X0,bitIndex4)
| ~ v1003(X0) ),
inference(cnf_transformation,[],[f3591]) ).
fof(f3591,plain,
! [X0] :
( ( v1003(X0)
| ~ v1007(X0,bitIndex4)
| ~ v1004(X0) )
& ( ( v1007(X0,bitIndex4)
& v1004(X0) )
| ~ v1003(X0) ) ),
inference(flattening,[],[f3590]) ).
fof(f3590,plain,
! [X0] :
( ( v1003(X0)
| ~ v1007(X0,bitIndex4)
| ~ v1004(X0) )
& ( ( v1007(X0,bitIndex4)
& v1004(X0) )
| ~ v1003(X0) ) ),
inference(nnf_transformation,[],[f1642]) ).
fof(f1642,plain,
! [X0] :
( v1003(X0)
<=> ( v1007(X0,bitIndex4)
& v1004(X0) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X1] :
( v1003(X1)
<=> ( v1007(X1,bitIndex4)
& v1004(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_77) ).
fof(f7312,plain,
! [X0] :
( v1001(X0)
| ~ v1000(X0,bitIndex0) ),
inference(cnf_transformation,[],[f4163]) ).
fof(f4163,plain,
! [X0] :
( ( v1000(X0,bitIndex0)
| ~ v1001(X0) )
& ( v1001(X0)
| ~ v1000(X0,bitIndex0) ) ),
inference(nnf_transformation,[],[f2085]) ).
fof(f2085,plain,
! [X0] :
( v1000(X0,bitIndex0)
<=> v1001(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1] :
( v1000(X1,bitIndex0)
<=> v1001(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_245) ).
fof(f9420,plain,
! [X0] :
( ~ v998(X0)
| ~ v1010(X0)
| ~ v995(X0) ),
inference(resolution,[],[f6057,f5663]) ).
fof(f5663,plain,
! [X0] :
( ~ v996(X0)
| ~ v995(X0) ),
inference(cnf_transformation,[],[f2591]) ).
fof(f2591,plain,
! [X0] :
( ~ v995(X0)
| ~ v996(X0) ),
inference(ennf_transformation,[],[f2249]) ).
fof(f2249,plain,
! [X0] :
( v996(X0)
=> ~ v995(X0) ),
inference(unused_predicate_definition_removal,[],[f1436]) ).
fof(f1436,plain,
! [X0] :
( ~ v995(X0)
<=> v996(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X1] :
( ~ v995(X1)
<=> v996(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_112) ).
fof(f6057,plain,
! [X0] :
( v996(X0)
| ~ v1010(X0)
| ~ v998(X0) ),
inference(cnf_transformation,[],[f2595]) ).
fof(f2595,plain,
! [X0] :
( v996(X0)
| ~ v1010(X0)
| ~ v998(X0) ),
inference(flattening,[],[f2594]) ).
fof(f2594,plain,
! [X0] :
( v996(X0)
| ~ v1010(X0)
| ~ v998(X0) ),
inference(ennf_transformation,[],[f2250]) ).
fof(f2250,plain,
! [X0] :
( ( v1010(X0)
& v998(X0) )
=> v996(X0) ),
inference(unused_predicate_definition_removal,[],[f1626]) ).
fof(f1626,plain,
! [X0] :
( v996(X0)
<=> ( v1010(X0)
& v998(X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1] :
( v996(X1)
<=> ( v1010(X1)
& v998(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:40:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (2539)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (2540)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.43 % (2545)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)
% 0.21/0.43 % (2543)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.43 % (2546)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)
% 0.21/0.43 % (2541)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.43 % (2544)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)
% 0.21/0.44 % (2542)WARNING: value z3 for option sas not known
% 0.21/0.44 % (2542)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)
% 1.11/0.55 % (2545)First to succeed.
% 1.11/0.55 % (2545)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2539"
% 1.11/0.55 % (2545)Refutation found. Thanks to Tanya!
% 1.11/0.55 % SZS status Theorem for theBenchmark
% 1.11/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.55 % (2545)------------------------------
% 1.11/0.55 % (2545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.55 % (2545)Termination reason: Refutation
% 1.11/0.55
% 1.11/0.55 % (2545)Memory used [KB]: 6686
% 1.11/0.55 % (2545)Time elapsed: 0.103 s
% 1.11/0.55 % (2545)Instructions burned: 215 (million)
% 1.11/0.55 % (2539)Success in time 0.189 s
%------------------------------------------------------------------------------