TSTP Solution File: SWC411+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC411+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 16:22:52 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 209 ( 30 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 237 ( 66 ~; 48 |; 97 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 67 ( 29 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f672,plain,
$false,
inference(avatar_sat_refutation,[],[f645,f650,f655,f660,f665,f669,f671]) ).
fof(f671,plain,
( ~ spl70_3
| spl70_4
| ~ spl70_5
| ~ spl70_6 ),
inference(avatar_split_clause,[],[f670,f667,f662,f657,f652]) ).
fof(f652,plain,
( spl70_3
<=> ssItem(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_3])]) ).
fof(f657,plain,
( spl70_4
<=> memberP(sK20,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_4])]) ).
fof(f662,plain,
( spl70_5
<=> memberP(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_5])]) ).
fof(f667,plain,
( spl70_6
<=> ! [X5] :
( ~ memberP(sK21,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_6])]) ).
fof(f670,plain,
( memberP(sK20,sK22)
| ~ ssItem(sK22)
| ~ spl70_5
| ~ spl70_6 ),
inference(resolution,[],[f668,f664]) ).
fof(f664,plain,
( memberP(sK21,sK22)
| ~ spl70_5 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f668,plain,
( ! [X5] :
( ~ memberP(sK21,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) )
| ~ spl70_6 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
spl70_6,
inference(avatar_split_clause,[],[f382,f667]) ).
fof(f382,plain,
! [X5] :
( ~ memberP(sK21,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ~ memberP(sK18,sK22)
& memberP(sK19,sK22)
& ssItem(sK22)
& ! [X5] :
( ~ memberP(sK21,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f100,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(X1,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(X1,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(sK21,X5)
| memberP(sK20,X5)
| ~ ssItem(X5) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
=> ( ~ memberP(sK18,sK22)
& memberP(sK19,sK22)
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& ! [X5] :
( ~ memberP(X3,X5)
| memberP(X2,X5)
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| ? [X5] :
( memberP(X3,X5)
& ~ memberP(X2,X5)
& ssItem(X5) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X0,X5)
| ~ memberP(X1,X5) ) )
| ? [X4] :
( memberP(X3,X4)
& ~ memberP(X2,X4)
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X0,X5)
| ~ memberP(X1,X5) ) )
| ? [X4] :
( memberP(X3,X4)
& ~ memberP(X2,X4)
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f665,plain,
spl70_5,
inference(avatar_split_clause,[],[f604,f662]) ).
fof(f604,plain,
memberP(sK21,sK22),
inference(definition_unfolding,[],[f384,f380]) ).
fof(f380,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f256]) ).
fof(f384,plain,
memberP(sK19,sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f660,plain,
~ spl70_4,
inference(avatar_split_clause,[],[f603,f657]) ).
fof(f603,plain,
~ memberP(sK20,sK22),
inference(definition_unfolding,[],[f385,f381]) ).
fof(f381,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f256]) ).
fof(f385,plain,
~ memberP(sK18,sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f655,plain,
spl70_3,
inference(avatar_split_clause,[],[f383,f652]) ).
fof(f383,plain,
ssItem(sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f650,plain,
spl70_2,
inference(avatar_split_clause,[],[f379,f647]) ).
fof(f647,plain,
( spl70_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_2])]) ).
fof(f379,plain,
ssList(sK21),
inference(cnf_transformation,[],[f256]) ).
fof(f645,plain,
spl70_1,
inference(avatar_split_clause,[],[f378,f642]) ).
fof(f642,plain,
( spl70_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_1])]) ).
fof(f378,plain,
ssList(sK20),
inference(cnf_transformation,[],[f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC411+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n025.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 : Tue Apr 30 04:30:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (5313)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (5318)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)
% 0.13/0.37 % (5314)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (5316)WARNING: value z3 for option sas not known
% 0.13/0.38 % (5315)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (5317)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (5320)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)
% 0.13/0.38 % (5316)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)
% 0.13/0.38 % (5319)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)
% 0.13/0.39 % (5318)First to succeed.
% 0.13/0.39 TRYING [1]
% 0.13/0.39 % (5318)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (5318)------------------------------
% 0.13/0.39 % (5318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (5318)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (5318)Memory used [KB]: 1240
% 0.13/0.39 % (5318)Time elapsed: 0.017 s
% 0.13/0.39 % (5318)Instructions burned: 17 (million)
% 0.13/0.39 % (5318)------------------------------
% 0.13/0.39 % (5318)------------------------------
% 0.13/0.39 % (5313)Success in time 0.036 s
%------------------------------------------------------------------------------