TSTP Solution File: CSR118+7 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR118+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 05:03:33 EDT 2024
% Result : Theorem 251.05s 37.66s
% Output : Refutation 251.05s
% 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(f454894,plain,
$false,
inference(resolution,[],[f254346,f227170]) ).
fof(f227170,plain,
! [X0,X1] : s__instance(X1,X0),
inference(superposition,[],[f158496,f197828]) ).
fof(f197828,plain,
! [X2,X1] : X1 = X2,
inference(superposition,[],[f197621,f197621]) ).
fof(f197621,plain,
! [X0,X1] : s__UnionFn(s__Mammal,X0) = X1,
inference(resolution,[],[f157177,f100795]) ).
fof(f100795,plain,
! [X0] : ~ s__instance(X0,s__Mammal),
inference(cnf_transformation,[],[f76791]) ).
fof(f76791,plain,
! [X0] : ~ s__instance(X0,s__Mammal),
inference(ennf_transformation,[],[f55590]) ).
fof(f55590,plain,
~ ? [X0] : s__instance(X0,s__Mammal),
inference(rectify,[],[f55589]) ).
fof(f55589,negated_conjecture,
~ ? [X2340] : s__instance(X2340,s__Mammal),
inference(negated_conjecture,[],[f55588]) ).
fof(f55588,conjecture,
? [X2340] : s__instance(X2340,s__Mammal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abe_mammal) ).
fof(f157177,plain,
! [X2,X0,X1] :
( s__instance(sK3617(X0,X1,X2),X2)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f100410]) ).
fof(f100410,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ( ~ sP687(X0,sK3619(X0,X1,X2),X2,X1,sK3618(X0,X1,X2),sK3617(X0,X1,X2))
& s__instance(sK3619(X0,X1,X2),X1)
& s__instance(sK3618(X0,X1,X2),X0)
& s__instance(sK3617(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( sP687(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,[sK3617,sK3618,sK3619])],[f100408,f100409]) ).
fof(f100409,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ sP687(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) )
=> ( ~ sP687(X0,sK3619(X0,X1,X2),X2,X1,sK3618(X0,X1,X2),sK3617(X0,X1,X2))
& s__instance(sK3619(X0,X1,X2),X1)
& s__instance(sK3618(X0,X1,X2),X0)
& s__instance(sK3617(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) ),
introduced(choice_axiom,[]) ).
fof(f100408,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP687(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] :
( sP687(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,[],[f100407]) ).
fof(f100407,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP687(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] :
( sP687(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,[],[f95084]) ).
fof(f95084,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( sP687(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,[],[f92642,f95083]) ).
fof(f95083,plain,
! [X0,X5,X2,X1,X4,X3] :
( sP687(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,[sP687])]) ).
fof(f92642,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,[],[f92641]) ).
fof(f92641,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,[],[f63956]) ).
fof(f63956,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(f158496,plain,
! [X1] : s__instance(X1,s__UnitOfMeasure),
inference(equality_resolution,[],[f155634]) ).
fof(f155634,plain,
! [X0,X1] :
( s__instance(X1,s__UnitOfMeasure)
| times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 ),
inference(cnf_transformation,[],[f99916]) ).
fof(f99916,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,[],[f99915]) ).
fof(f99915,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,[],[f62828]) ).
fof(f62828,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(f254346,plain,
! [X0,X1] : ~ s__instance(X1,X0),
inference(superposition,[],[f100795,f197828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR118+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 20:16:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (18352)Running in auto input_syntax mode. Trying TPTP
% 1.71/1.94 % (18353)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.71/1.94 % (18355)WARNING: value z3 for option sas not known
% 1.71/1.95 % (18355)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)
% 1.71/1.95 % (18358)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)
% 1.71/1.95 % (18357)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)
% 1.71/1.95 % (18354)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.71/1.95 % (18359)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)
% 1.71/1.95 % (18356)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 40.62/7.52 Detected minimum model sizes of [617]
% 40.62/7.52 Detected maximum model sizes of [max]
% 40.62/7.52 Cannot represent all propositional literals internally
% 40.62/7.52 % (18354)Refutation not found, incomplete strategy% (18354)------------------------------
% 40.62/7.52 % (18354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 40.62/7.52 % (18354)Termination reason: Refutation not found, incomplete strategy
% 40.62/7.52
% 40.62/7.52 % (18354)Memory used [KB]: 299945
% 40.62/7.52 % (18354)Time elapsed: 5.574 s
% 40.62/7.52 % (18354)Instructions burned: 15458 (million)
% 40.77/7.55 % (18354)------------------------------
% 40.77/7.55 % (18354)------------------------------
% 40.77/7.60 % (18360)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 41.67/7.75 Detected minimum model sizes of [617]
% 41.67/7.75 Detected maximum model sizes of [max]
% 41.67/7.75 Cannot represent all propositional literals internally
% 41.67/7.75 % (18356)Refutation not found, incomplete strategy% (18356)------------------------------
% 41.67/7.75 % (18356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 41.67/7.75 % (18356)Termination reason: Refutation not found, incomplete strategy
% 41.67/7.75
% 41.67/7.75 % (18356)Memory used [KB]: 295938
% 41.67/7.75 % (18356)Time elapsed: 5.792 s
% 41.67/7.75 % (18356)Instructions burned: 14507 (million)
% 42.25/7.77 % (18356)------------------------------
% 42.25/7.77 % (18356)------------------------------
% 42.25/7.81 % (18361)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)
% 74.53/12.40 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]
% 74.53/12.40 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]
% 74.53/12.40 Cannot represent all propositional literals internally
% 74.53/12.40 % (18360)Refutation not found, incomplete strategy% (18360)------------------------------
% 74.53/12.40 % (18360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 74.53/12.40 % (18360)Termination reason: Refutation not found, incomplete strategy
% 74.53/12.40
% 74.53/12.40 % (18360)Memory used [KB]: 264601
% 74.53/12.40 % (18360)Time elapsed: 4.802 s
% 74.53/12.40 % (18360)Instructions burned: 11429 (million)
% 74.53/12.43 % (18360)------------------------------
% 74.53/12.43 % (18360)------------------------------
% 75.16/12.47 % (18362)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)
% 83.73/13.76 Detected minimum model sizes of [617]
% 83.73/13.76 Detected maximum model sizes of [max]
% 83.73/13.76 Cannot represent all propositional literals internally
% 83.73/13.76 % (18353)Refutation not found, incomplete strategy% (18353)------------------------------
% 83.73/13.76 % (18353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 83.73/13.76 % (18353)Termination reason: Refutation not found, incomplete strategy
% 83.73/13.76
% 83.73/13.76 % (18353)Memory used [KB]: 611053
% 83.73/13.76 % (18353)Time elapsed: 11.779 s
% 83.73/13.76 % (18353)Instructions burned: 28515 (million)
% 84.55/13.82 % (18353)------------------------------
% 84.55/13.82 % (18353)------------------------------
% 84.55/13.89 % (18363)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)
% 251.05/37.63 % (18358)First to succeed.
% 251.05/37.63 % (18358)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18352"
% 251.05/37.66 % (18358)Refutation found. Thanks to Tanya!
% 251.05/37.66 % SZS status Theorem for theBenchmark
% 251.05/37.66 % SZS output start Proof for theBenchmark
% See solution above
% 251.05/37.66 % (18358)------------------------------
% 251.05/37.66 % (18358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 251.05/37.66 % (18358)Termination reason: Refutation
% 251.05/37.66
% 251.05/37.66 % (18358)Memory used [KB]: 170339
% 251.05/37.66 % (18358)Time elapsed: 35.689 s
% 251.05/37.66 % (18358)Instructions burned: 69909 (million)
% 251.05/37.66 % (18352)Success in time 37.136 s
%------------------------------------------------------------------------------