TSTP Solution File: SWC398+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Sat Sep 2 12:53:02 EDT 2023
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 337 ( 107 equ)
% Maximal formula atoms : 38 ( 10 avg)
% Number of connectives : 448 ( 144 ~; 115 |; 160 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 128 (; 73 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2096,plain,
$false,
inference(resolution,[],[f2095,f379]) ).
fof(f379,plain,
ssList(sK20),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( nil != sK20
| nil = sK21 )
& ~ memberP(sK19,sK22)
& memberP(sK18,sK22)
& ssItem(sK22)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != sK23
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& sK21 = app(sK20,sK23)
& ssList(sK23)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23])],[f100,f256,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK20
| nil = X3 )
& ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = X3
& ssList(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ( nil != sK20
| nil = X3 )
& ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = X3
& ssList(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( nil != sK20
| nil = sK21 )
& ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = sK21
& ssList(X5) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
=> ( ~ memberP(sK19,sK22)
& memberP(sK18,sK22)
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = sK21
& ssList(X5) )
=> ( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != sK23
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& sK21 = app(sK20,sK23)
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(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)
=> ( ( nil = X2
& nil != X3 )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ! [X5] :
( ssList(X5)
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(X8,cons(X6,nil)) = X2
& ssList(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| ~ equalelemsP(X2)
| app(X2,X5) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X8] :
( ssItem(X8)
=> ( memberP(X1,X8)
| ~ memberP(X0,X8) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X8] :
( ssItem(X8)
=> ( memberP(X1,X8)
| ~ memberP(X0,X8) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q8bWcHcpwN/Vampire---4.8_21221',co1) ).
fof(f2095,plain,
~ ssList(sK20),
inference(resolution,[],[f2094,f383]) ).
fof(f383,plain,
ssList(sK23),
inference(cnf_transformation,[],[f257]) ).
fof(f2094,plain,
( ~ ssList(sK23)
| ~ ssList(sK20) ),
inference(resolution,[],[f2093,f387]) ).
fof(f387,plain,
ssItem(sK22),
inference(cnf_transformation,[],[f257]) ).
fof(f2093,plain,
( ~ ssItem(sK22)
| ~ ssList(sK20)
| ~ ssList(sK23) ),
inference(resolution,[],[f2092,f608]) ).
fof(f608,plain,
memberP(sK20,sK22),
inference(backward_demodulation,[],[f388,f382]) ).
fof(f382,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f257]) ).
fof(f388,plain,
memberP(sK18,sK22),
inference(cnf_transformation,[],[f257]) ).
fof(f2092,plain,
( ~ memberP(sK20,sK22)
| ~ ssList(sK23)
| ~ ssList(sK20)
| ~ ssItem(sK22) ),
inference(resolution,[],[f1894,f609]) ).
fof(f609,plain,
~ memberP(sK21,sK22),
inference(backward_demodulation,[],[f389,f381]) ).
fof(f381,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f257]) ).
fof(f389,plain,
~ memberP(sK19,sK22),
inference(cnf_transformation,[],[f257]) ).
fof(f1894,plain,
! [X8] :
( memberP(sK21,X8)
| ~ memberP(sK20,X8)
| ~ ssList(sK23)
| ~ ssList(sK20)
| ~ ssItem(X8) ),
inference(superposition,[],[f453,f384]) ).
fof(f384,plain,
sK21 = app(sK20,sK23),
inference(cnf_transformation,[],[f257]) ).
fof(f453,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,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,[],[f275]) ).
fof(f275,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,[],[f140]) ).
fof(f140,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/tmp/tmp.q8bWcHcpwN/Vampire---4.8_21221',ax36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n012.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 : Wed Aug 30 17:08:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.41 % (21359)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (21365)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (21360)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (21361)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (21363)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (21362)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (21364)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (21366)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [3]
% 0.21/0.46 TRYING [1]
% 0.21/0.46 TRYING [2]
% 0.21/0.47 % (21365)First to succeed.
% 0.21/0.47 % (21365)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Theorem for Vampire---4
% 0.21/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.47 % (21365)------------------------------
% 0.21/0.47 % (21365)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (21365)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (21365)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (21365)Memory used [KB]: 3837
% 0.21/0.47 % (21365)Time elapsed: 0.049 s
% 0.21/0.47 % (21365)------------------------------
% 0.21/0.47 % (21365)------------------------------
% 0.21/0.47 % (21359)Success in time 0.11 s
% 0.21/0.47 21362 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.q8bWcHcpwN/Vampire---4.8_21221
% 0.21/0.47 % (21362)------------------------------
% 0.21/0.47 % (21362)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (21362)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (21362)Termination reason: Unknown
% 0.21/0.47 % (21362)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (21362)Memory used [KB]: 5884
% 0.21/0.47 % (21362)Time elapsed: 0.052 s
% 0.21/0.47 % (21362)------------------------------
% 0.21/0.47 % (21362)------------------------------
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------