TSTP Solution File: SWC408+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC408+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 : n026.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 10:26:50 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 184 ( 43 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 209 ( 55 ~; 39 |; 95 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 27 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1787,plain,
$false,
inference(resolution,[],[f1786,f378]) ).
fof(f378,plain,
ssList(sK21),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ~ memberP(sK18,sK22)
& memberP(sK19,sK22)
& ssItem(sK22)
& sK18 = sK20
& sK19 = sK21
& sK20 = app(sK21,sK21)
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f99,f254,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& X0 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(X1,X4)
& ssItem(X4) )
& sK18 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(X1,X4)
& ssItem(X4) )
& sK18 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& sK18 = X2
& sK19 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& sK18 = X2
& sK19 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& sK18 = sK20
& sK19 = X3
& app(X3,X3) = sK20
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& sK18 = sK20
& sK19 = X3
& app(X3,X3) = sK20
& ssList(X3) )
=> ( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
& sK18 = sK20
& sK19 = sK21
& sK20 = app(sK21,sK21)
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X4] :
( ~ memberP(sK18,X4)
& memberP(sK19,X4)
& ssItem(X4) )
=> ( ~ memberP(sK18,sK22)
& memberP(sK19,sK22)
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& X0 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& X0 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1786,plain,
~ ssList(sK21),
inference(resolution,[],[f1785,f382]) ).
fof(f382,plain,
ssItem(sK22),
inference(cnf_transformation,[],[f255]) ).
fof(f1785,plain,
( ~ ssItem(sK22)
| ~ ssList(sK21) ),
inference(resolution,[],[f1784,f636]) ).
fof(f636,plain,
memberP(sK21,sK22),
inference(forward_demodulation,[],[f383,f380]) ).
fof(f380,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f255]) ).
fof(f383,plain,
memberP(sK19,sK22),
inference(cnf_transformation,[],[f255]) ).
fof(f1784,plain,
( ~ memberP(sK21,sK22)
| ~ ssList(sK21)
| ~ ssItem(sK22) ),
inference(resolution,[],[f1782,f384]) ).
fof(f384,plain,
~ memberP(sK18,sK22),
inference(cnf_transformation,[],[f255]) ).
fof(f1782,plain,
! [X0] :
( memberP(sK18,X0)
| ~ memberP(sK21,X0)
| ~ ssList(sK21)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1780]) ).
fof(f1780,plain,
! [X0] :
( memberP(sK18,X0)
| ~ memberP(sK21,X0)
| ~ ssList(sK21)
| ~ ssList(sK21)
| ~ ssItem(X0) ),
inference(superposition,[],[f447,f637]) ).
fof(f637,plain,
sK18 = app(sK21,sK21),
inference(forward_demodulation,[],[f379,f381]) ).
fof(f381,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f255]) ).
fof(f379,plain,
sK20 = app(sK21,sK21),
inference(cnf_transformation,[],[f255]) ).
fof(f447,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWC408+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.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 : Fri May 3 20:32:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (24784)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (24787)WARNING: value z3 for option sas not known
% 0.14/0.39 % (24785)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (24788)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (24787)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)
% 0.14/0.39 % (24790)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)
% 0.14/0.39 % (24789)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)
% 0.14/0.39 % (24791)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)
% 0.14/0.39 % (24786)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.45 % (24790)First to succeed.
% 0.22/0.45 % (24790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24784"
% 0.22/0.45 % (24790)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (24790)------------------------------
% 0.22/0.45 % (24790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45 % (24790)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (24790)Memory used [KB]: 2502
% 0.22/0.45 % (24790)Time elapsed: 0.064 s
% 0.22/0.45 % (24790)Instructions burned: 114 (million)
% 0.22/0.45 % (24784)Success in time 0.084 s
%------------------------------------------------------------------------------