TSTP Solution File: SWC086+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC086+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 : n016.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 12:41:55 EDT 2023
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 288 ( 76 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 355 ( 121 ~; 114 |; 106 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 54 (; 28 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f651,plain,
$false,
inference(resolution,[],[f650,f394]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.tT3rPck1Nh/Vampire---4.8_16283',ax17) ).
fof(f650,plain,
~ ssList(nil),
inference(duplicate_literal_removal,[],[f647]) ).
fof(f647,plain,
( ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f646,f454]) ).
fof(f454,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.tT3rPck1Nh/Vampire---4.8_16283',ax57) ).
fof(f646,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil) ),
inference(forward_demodulation,[],[f644,f639]) ).
fof(f639,plain,
nil = sK21,
inference(resolution,[],[f638,f394]) ).
fof(f638,plain,
( ~ ssList(nil)
| nil = sK21 ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
( ~ ssList(nil)
| nil = sK21
| ~ ssList(nil) ),
inference(resolution,[],[f634,f454]) ).
fof(f634,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| nil = sK21 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f632,plain,
( ~ ssList(nil)
| ~ segmentP(nil,nil)
| nil = sK21
| nil = sK21 ),
inference(resolution,[],[f629,f624]) ).
fof(f624,plain,
( segmentP(sK21,nil)
| nil = sK21 ),
inference(backward_demodulation,[],[f384,f620]) ).
fof(f620,plain,
nil = sK20,
inference(resolution,[],[f619,f376]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( segmentP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( segmentP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( segmentP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( segmentP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& 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)
=> ( ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tT3rPck1Nh/Vampire---4.8_16283',co1) ).
fof(f619,plain,
( ~ ssList(sK20)
| nil = sK20 ),
inference(duplicate_literal_removal,[],[f618]) ).
fof(f618,plain,
( ~ ssList(sK20)
| nil = sK20
| ~ ssList(sK20) ),
inference(resolution,[],[f617,f453]) ).
fof(f453,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.tT3rPck1Nh/Vampire---4.8_16283',ax55) ).
fof(f617,plain,
( ~ segmentP(sK20,sK20)
| ~ ssList(sK20)
| nil = sK20 ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
( ~ segmentP(sK20,sK20)
| ~ ssList(sK20)
| nil = sK20
| nil = sK20 ),
inference(resolution,[],[f611,f385]) ).
fof(f385,plain,
( segmentP(sK21,sK20)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f611,plain,
( ~ segmentP(sK21,sK20)
| ~ segmentP(sK20,sK20)
| ~ ssList(sK20)
| nil = sK20 ),
inference(resolution,[],[f604,f383]) ).
fof(f383,plain,
( neq(sK20,nil)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f604,plain,
! [X4] :
( ~ neq(X4,nil)
| ~ segmentP(sK20,X4)
| ~ segmentP(sK21,X4)
| ~ ssList(X4) ),
inference(backward_demodulation,[],[f603,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f603,plain,
! [X4] :
( ~ segmentP(sK20,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(backward_demodulation,[],[f381,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f381,plain,
! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
( segmentP(sK21,sK20)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f629,plain,
( ~ segmentP(sK21,nil)
| ~ ssList(nil)
| ~ segmentP(nil,nil)
| nil = sK21 ),
inference(forward_demodulation,[],[f628,f620]) ).
fof(f628,plain,
( ~ segmentP(sK21,nil)
| ~ segmentP(nil,nil)
| ~ ssList(sK20)
| nil = sK21 ),
inference(forward_demodulation,[],[f626,f620]) ).
fof(f626,plain,
( ~ segmentP(nil,nil)
| ~ segmentP(sK21,sK20)
| ~ ssList(sK20)
| nil = sK21 ),
inference(backward_demodulation,[],[f612,f620]) ).
fof(f612,plain,
( ~ segmentP(sK20,sK20)
| ~ segmentP(sK21,sK20)
| ~ ssList(sK20)
| nil = sK21 ),
inference(resolution,[],[f604,f382]) ).
fof(f382,plain,
( neq(sK20,nil)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f644,plain,
( ~ ssList(nil)
| ~ segmentP(nil,sK21) ),
inference(backward_demodulation,[],[f627,f639]) ).
fof(f627,plain,
( ~ segmentP(nil,sK21)
| ~ ssList(sK21) ),
inference(backward_demodulation,[],[f614,f620]) ).
fof(f614,plain,
( ~ segmentP(sK20,sK21)
| ~ ssList(sK21) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f613,plain,
( ~ segmentP(sK20,sK21)
| ~ ssList(sK21)
| ~ ssList(sK21) ),
inference(resolution,[],[f610,f453]) ).
fof(f610,plain,
( ~ segmentP(sK21,sK21)
| ~ segmentP(sK20,sK21)
| ~ ssList(sK21) ),
inference(resolution,[],[f604,f605]) ).
fof(f605,plain,
neq(sK21,nil),
inference(backward_demodulation,[],[f380,f378]) ).
fof(f380,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n016.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 17:46:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (16455)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16456)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (16459)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (16457)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (16460)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)
% 0.21/0.43 % (16458)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)
% 0.21/0.43 % (16461)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)
% 0.21/0.43 % (16462)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)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [1]
% 0.21/0.45 TRYING [3]
% 0.21/0.45 % (16461)First to succeed.
% 0.21/0.45 TRYING [2]
% 0.21/0.45 % (16461)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (16461)------------------------------
% 0.21/0.45 % (16461)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (16461)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (16461)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (16461)Memory used [KB]: 1535
% 0.21/0.45 % (16461)Time elapsed: 0.022 s
% 0.21/0.45 % (16461)------------------------------
% 0.21/0.45 % (16461)------------------------------
% 0.21/0.45 % (16455)Success in time 0.089 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------