TSTP Solution File: CSR109+7 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR109+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 19:45:09 EDT 2024
% Result : Theorem 272.73s 41.69s
% Output : Refutation 272.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 152 ( 27 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 181 ( 56 ~; 55 |; 57 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-6 aty)
% Number of functors : 11 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455558,plain,
$false,
inference(resolution,[],[f254670,f227463]) ).
fof(f227463,plain,
! [X0,X1] : s__instance(X1,X0),
inference(superposition,[],[f158526,f198091]) ).
fof(f198091,plain,
! [X2,X1] : X1 = X2,
inference(superposition,[],[f197880,f197880]) ).
fof(f197880,plain,
! [X0,X1] : s__UnionFn(s__Reptile,X0) = X1,
inference(resolution,[],[f157207,f100803]) ).
fof(f100803,plain,
! [X0] : ~ s__instance(X0,s__Reptile),
inference(cnf_transformation,[],[f76793]) ).
fof(f76793,plain,
! [X0] : ~ s__instance(X0,s__Reptile),
inference(ennf_transformation,[],[f55591]) ).
fof(f55591,plain,
~ ? [X0] : s__instance(X0,s__Reptile),
inference(rectify,[],[f55590]) ).
fof(f55590,negated_conjecture,
~ ? [X2350] : s__instance(X2350,s__Reptile),
inference(negated_conjecture,[],[f55589]) ).
fof(f55589,conjecture,
? [X2350] : s__instance(X2350,s__Reptile),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f157207,plain,
! [X2,X0,X1] :
( s__instance(sK3628(X0,X1,X2),X2)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f100418]) ).
fof(f100418,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ( ~ sP688(X0,sK3630(X0,X1,X2),X2,X1,sK3629(X0,X1,X2),sK3628(X0,X1,X2))
& s__instance(sK3630(X0,X1,X2),X1)
& s__instance(sK3629(X0,X1,X2),X0)
& s__instance(sK3628(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( sP688(X0,X8,X2,X1,X7,X6)
| ~ s__instance(X8,X1)
| ~ s__instance(X7,X0)
| ~ s__instance(X6,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3628,sK3629,sK3630])],[f100416,f100417]) ).
fof(f100417,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ sP688(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) )
=> ( ~ sP688(X0,sK3630(X0,X1,X2),X2,X1,sK3629(X0,X1,X2),sK3628(X0,X1,X2))
& s__instance(sK3630(X0,X1,X2),X1)
& s__instance(sK3629(X0,X1,X2),X0)
& s__instance(sK3628(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) ),
introduced(choice_axiom,[]) ).
fof(f100416,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP688(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( sP688(X0,X8,X2,X1,X7,X6)
| ~ s__instance(X8,X1)
| ~ s__instance(X7,X0)
| ~ s__instance(X6,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(rectify,[],[f100415]) ).
fof(f100415,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP688(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X3,X4,X5] :
( sP688(X0,X5,X2,X1,X4,X3)
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f95089]) ).
fof(f95089,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( sP688(X0,X5,X2,X1,X4,X3)
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(definition_folding,[],[f92645,f95088]) ).
fof(f95088,plain,
! [X0,X5,X2,X1,X4,X3] :
( sP688(X0,X5,X2,X1,X4,X3)
<=> ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP688])]) ).
fof(f92645,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) )
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(flattening,[],[f92644]) ).
fof(f92644,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) )
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(ennf_transformation,[],[f63958]) ).
fof(f63958,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) )
=> ( ( s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2) )
=> ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) ) ) ) ),
inference(rectify,[],[f32412]) ).
fof(f32412,axiom,
! [X136,X11,X135] :
( s__UnionFn(X135,X136) = X11
<=> ! [X1137,X33,X1138] :
( ( s__instance(X136,s__SetOrClass)
& s__instance(X11,s__SetOrClass)
& s__instance(X135,s__SetOrClass) )
=> ( ( s__instance(X1138,X11)
& s__instance(X33,X136)
& s__instance(X1137,X135) )
=> ( ( s__instance(X1138,X136)
| s__instance(X1138,X135) )
& s__instance(X33,X11)
& s__instance(X1137,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_32603) ).
fof(f158526,plain,
! [X1] : s__instance(X1,s__UnitOfMeasure),
inference(equality_resolution,[],[f155664]) ).
fof(f155664,plain,
! [X0,X1] :
( s__instance(X1,s__UnitOfMeasure)
| times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 ),
inference(cnf_transformation,[],[f99924]) ).
fof(f99924,plain,
! [X0,X1] :
( ( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
& s__instance(X1,s__UnitOfMeasure) )
| times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 )
& ( times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0
| s__MeasureFn("1",s__SquareUnitFn(X1)) != X0
| ~ s__instance(X1,s__UnitOfMeasure) ) ),
inference(flattening,[],[f99923]) ).
fof(f99923,plain,
! [X0,X1] :
( ( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
& s__instance(X1,s__UnitOfMeasure) )
| times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 )
& ( times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0
| s__MeasureFn("1",s__SquareUnitFn(X1)) != X0
| ~ s__instance(X1,s__UnitOfMeasure) ) ),
inference(nnf_transformation,[],[f62830]) ).
fof(f62830,plain,
! [X0,X1] :
( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
& s__instance(X1,s__UnitOfMeasure) )
<=> times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0 ),
inference(rectify,[],[f11954]) ).
fof(f11954,axiom,
! [X300,X247] :
( ( s__MeasureFn("1",s__SquareUnitFn(X247)) = X300
& s__instance(X247,s__UnitOfMeasure) )
<=> times(s__MeasureFn("1",X247),s__MeasureFn("1",X247)) = X300 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_12071) ).
fof(f254670,plain,
! [X0,X1] : ~ s__instance(X1,X0),
inference(superposition,[],[f100803,f198091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR109+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.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 : Sun May 19 01:05:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (27973)Running in auto input_syntax mode. Trying TPTP
% 2.85/3.02 % (27976)WARNING: value z3 for option sas not known
% 2.85/3.02 % (27974)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 2.85/3.02 % (27975)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 2.85/3.02 % (27976)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)
% 2.85/3.02 % (27977)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 2.85/3.02 % (27978)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)
% 2.85/3.02 % (27979)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)
% 2.85/3.02 % (27980)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)
% 48.81/9.61 Detected minimum model sizes of [617]
% 48.81/9.61 Detected maximum model sizes of [max]
% 48.81/9.61 Cannot represent all propositional literals internally
% 48.81/9.61 % (27977)Refutation not found, incomplete strategy% (27977)------------------------------
% 48.81/9.61 % (27977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 48.81/9.61 % (27977)Termination reason: Refutation not found, incomplete strategy
% 48.81/9.61
% 48.81/9.61 % (27977)Memory used [KB]: 294170
% 48.81/9.61 % (27977)Time elapsed: 6.584 s
% 48.81/9.61 % (27977)Instructions burned: 14430 (million)
% 48.81/9.64 % (27977)------------------------------
% 48.81/9.64 % (27977)------------------------------
% 49.41/9.70 % (27981)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 51.31/10.00 Detected minimum model sizes of [617]
% 51.31/10.00 Detected maximum model sizes of [max]
% 51.31/10.00 Cannot represent all propositional literals internally
% 51.31/10.00 % (27975)Refutation not found, incomplete strategy% (27975)------------------------------
% 51.31/10.00 % (27975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 51.31/10.00 % (27975)Termination reason: Refutation not found, incomplete strategy
% 51.31/10.00
% 51.31/10.00 % (27975)Memory used [KB]: 298194
% 51.31/10.00 % (27975)Time elapsed: 6.972 s
% 51.31/10.00 % (27975)Instructions burned: 15378 (million)
% 51.86/10.04 % (27975)------------------------------
% 51.86/10.04 % (27975)------------------------------
% 51.86/10.09 % (27982)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 85.43/14.89 Detected minimum model sizes of [617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617]
% 85.43/14.89 Detected maximum model sizes of [max,8,56,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 85.43/14.89 Cannot represent all propositional literals internally
% 85.43/14.89 % (27981)Refutation not found, incomplete strategy% (27981)------------------------------
% 85.43/14.89 % (27981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 85.43/14.89 % (27981)Termination reason: Refutation not found, incomplete strategy
% 85.43/14.89
% 85.43/14.89 % (27981)Memory used [KB]: 264609
% 85.43/14.89 % (27981)Time elapsed: 5.186 s
% 85.43/14.89 % (27981)Instructions burned: 11428 (million)
% 85.43/14.92 % (27981)------------------------------
% 85.43/14.92 % (27981)------------------------------
% 86.10/14.97 % (27983)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 93.66/16.02 Detected minimum model sizes of [617]
% 93.66/16.02 Detected maximum model sizes of [max]
% 93.66/16.02 Cannot represent all propositional literals internally
% 93.66/16.02 % (27974)Refutation not found, incomplete strategy% (27974)------------------------------
% 93.66/16.02 % (27974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 93.66/16.02 % (27974)Termination reason: Refutation not found, incomplete strategy
% 93.66/16.02
% 93.66/16.02 % (27974)Memory used [KB]: 609363
% 93.66/16.02 % (27974)Time elapsed: 12.989 s
% 93.66/16.02 % (27974)Instructions burned: 28449 (million)
% 94.08/16.10 % (27974)------------------------------
% 94.08/16.10 % (27974)------------------------------
% 94.74/16.18 % (27984)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 272.73/41.66 % (27979)First to succeed.
% 272.73/41.66 % (27979)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27973"
% 272.73/41.69 % (27979)Refutation found. Thanks to Tanya!
% 272.73/41.69 % SZS status Theorem for theBenchmark
% 272.73/41.69 % SZS output start Proof for theBenchmark
% See solution above
% 272.73/41.70 % (27979)------------------------------
% 272.73/41.70 % (27979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 272.73/41.70 % (27979)Termination reason: Refutation
% 272.73/41.70
% 272.73/41.70 % (27979)Memory used [KB]: 171033
% 272.73/41.70 % (27979)Time elapsed: 38.648 s
% 272.73/41.70 % (27979)Instructions burned: 70204 (million)
% 272.73/41.70 % (27973)Success in time 41.213 s
%------------------------------------------------------------------------------