TSTP Solution File: NUM568+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 18:05:52 EDT 2022
% Result : Theorem 1.70s 0.58s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 14 unt; 3 typ; 0 def)
% Number of atoms : 120 ( 57 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 48 ~; 46 |; 19 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 42 ( 31 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_19,type,
sQ38_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_20,type,
sQ39_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_21,type,
sQ40_eqProxy: ( $real * $real ) > $o ).
fof(f1197,plain,
$false,
inference(subsumption_resolution,[],[f1196,f743]) ).
fof(f743,plain,
aElementOf0(xK,szNzAzT0),
inference(literal_reordering,[],[f511]) ).
fof(f511,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f1196,plain,
~ aElementOf0(xK,szNzAzT0),
inference(subsumption_resolution,[],[f1195,f944]) ).
fof(f944,plain,
xK != sbrdtbr0(slcrc0),
inference(backward_demodulation,[],[f663,f940]) ).
fof(f940,plain,
sz00 = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f649,f744]) ).
fof(f744,plain,
aSet0(slcrc0),
inference(literal_reordering,[],[f529]) ).
fof(f529,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f334]) ).
fof(f334,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK8(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f220,f221]) ).
fof(f221,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f649,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(literal_reordering,[],[f554]) ).
fof(f554,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f404]) ).
fof(f404,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f663,plain,
sz00 != xK,
inference(literal_reordering,[],[f467]) ).
fof(f467,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f1195,plain,
( xK = sbrdtbr0(slcrc0)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f1194,f1029]) ).
fof(f1029,plain,
! [X0] :
( aElementOf0(sK36(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slcrc0) = X0 ),
inference(forward_demodulation,[],[f661,f940]) ).
fof(f661,plain,
! [X0] :
( aElementOf0(sK36(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(literal_reordering,[],[f527]) ).
fof(f527,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK36(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( aElementOf0(sK36(X0),szNzAzT0)
& szszuzczcdt0(sK36(X0)) = X0 )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f189,f328]) ).
fof(f328,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
=> ( aElementOf0(sK36(X0),szNzAzT0)
& szszuzczcdt0(sK36(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1194,plain,
~ aElementOf0(sK36(xK),szNzAzT0),
inference(trivial_inequality_removal,[],[f1188]) ).
fof(f1188,plain,
( ~ aElementOf0(sK36(xK),szNzAzT0)
| xK != xK ),
inference(superposition,[],[f703,f1182]) ).
fof(f1182,plain,
xK = szszuzczcdt0(sK36(xK)),
inference(subsumption_resolution,[],[f1178,f944]) ).
fof(f1178,plain,
( xK = szszuzczcdt0(sK36(xK))
| xK = sbrdtbr0(slcrc0) ),
inference(resolution,[],[f1067,f743]) ).
fof(f1067,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK36(X0)) = X0
| sbrdtbr0(slcrc0) = X0 ),
inference(forward_demodulation,[],[f609,f940]) ).
fof(f609,plain,
! [X0] :
( sz00 = X0
| szszuzczcdt0(sK36(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(literal_reordering,[],[f526]) ).
fof(f526,plain,
! [X0] :
( szszuzczcdt0(sK36(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f703,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(literal_reordering,[],[f514]) ).
fof(f514,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 07:11:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (1334)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (1335)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (1331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (1336)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (1337)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (1338)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (1329)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (1350)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (1328)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (1346)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (1342)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (1325)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (1334)Instruction limit reached!
% 0.19/0.52 % (1334)------------------------------
% 0.19/0.52 % (1334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1334)Termination reason: Unknown
% 0.19/0.52 % (1334)Termination phase: Preprocessing 2
% 0.19/0.52
% 0.19/0.52 % (1334)Memory used [KB]: 1023
% 0.19/0.52 % (1334)Time elapsed: 0.003 s
% 0.19/0.52 % (1334)Instructions burned: 2 (million)
% 0.19/0.52 % (1334)------------------------------
% 0.19/0.52 % (1334)------------------------------
% 0.19/0.53 % (1332)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (1327)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (1351)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (1348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (1330)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (1343)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (1347)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (1341)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (1353)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (1340)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (1352)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (1354)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (1333)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (1349)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55 % (1339)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.55 % (1344)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.55 % (1345)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.55 % (1355)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.53/0.56 % (1333)Instruction limit reached!
% 1.53/0.56 % (1333)------------------------------
% 1.53/0.56 % (1333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (1333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (1333)Termination reason: Unknown
% 1.53/0.56 % (1333)Termination phase: Property scanning
% 1.53/0.56
% 1.53/0.56 % (1333)Memory used [KB]: 1279
% 1.53/0.56 % (1333)Time elapsed: 0.005 s
% 1.53/0.56 % (1333)Instructions burned: 8 (million)
% 1.53/0.56 % (1333)------------------------------
% 1.53/0.56 % (1333)------------------------------
% 1.70/0.57 % (1352)First to succeed.
% 1.70/0.57 TRYING [1]
% 1.70/0.57 % (1327)Refutation not found, incomplete strategy% (1327)------------------------------
% 1.70/0.57 % (1327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (1327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (1327)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.57
% 1.70/0.57 % (1327)Memory used [KB]: 6140
% 1.70/0.57 % (1327)Time elapsed: 0.158 s
% 1.70/0.57 % (1327)Instructions burned: 26 (million)
% 1.70/0.57 % (1327)------------------------------
% 1.70/0.57 % (1327)------------------------------
% 1.70/0.58 % (1352)Refutation found. Thanks to Tanya!
% 1.70/0.58 % SZS status Theorem for theBenchmark
% 1.70/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.58 % (1352)------------------------------
% 1.70/0.58 % (1352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (1352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (1352)Termination reason: Refutation
% 1.70/0.58
% 1.70/0.58 % (1352)Memory used [KB]: 6652
% 1.70/0.58 % (1352)Time elapsed: 0.019 s
% 1.70/0.58 % (1352)Instructions burned: 30 (million)
% 1.70/0.58 % (1352)------------------------------
% 1.70/0.58 % (1352)------------------------------
% 1.70/0.58 % (1324)Success in time 0.235 s
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