TSTP Solution File: SWC361+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC361+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 : n029.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 10:25:16 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 205 ( 28 equ)
% Maximal formula atoms : 30 ( 7 avg)
% Number of connectives : 258 ( 80 ~; 56 |; 106 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 45 ( 19 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f661,plain,
$false,
inference(avatar_sat_refutation,[],[f644,f649,f654,f659,f660]) ).
fof(f660,plain,
~ spl69_4,
inference(avatar_split_clause,[],[f602,f656]) ).
fof(f656,plain,
( spl69_4
<=> segmentP(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f602,plain,
~ segmentP(sK21,sK20),
inference(definition_unfolding,[],[f384,f378,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ segmentP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& segmentP(sK21,sK20)
& 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(X1,X0)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ segmentP(X1,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& 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(X1,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ segmentP(X3,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& segmentP(X3,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ segmentP(X3,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& segmentP(X3,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ~ segmentP(sK19,sK18)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ segmentP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& segmentP(sK21,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ segmentP(X1,X0)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& 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(X1,X0)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ segmentP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& segmentP(X3,X2)
& 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(X1,X0)
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& segmentP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ segmentP(X3,X2)
| ~ 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(X1,X0)
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& segmentP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ segmentP(X3,X2)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
~ segmentP(sK19,sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f659,plain,
spl69_4,
inference(avatar_split_clause,[],[f381,f656]) ).
fof(f381,plain,
segmentP(sK21,sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f654,plain,
spl69_3,
inference(avatar_split_clause,[],[f382,f651]) ).
fof(f651,plain,
( spl69_3
<=> strictorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f382,plain,
strictorderedP(sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f649,plain,
spl69_2,
inference(avatar_split_clause,[],[f377,f646]) ).
fof(f646,plain,
( spl69_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f644,plain,
spl69_1,
inference(avatar_split_clause,[],[f376,f641]) ).
fof(f641,plain,
( spl69_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC361+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:26:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19383)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19386)WARNING: value z3 for option sas not known
% 0.15/0.38 % (19384)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (19387)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (19385)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (19388)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)
% 0.15/0.38 % (19390)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)
% 0.15/0.38 % (19389)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)
% 0.15/0.38 % (19386)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)
% 0.15/0.39 % (19388)First to succeed.
% 0.15/0.39 % (19390)Also succeeded, but the first one will report.
% 0.15/0.39 % (19389)Also succeeded, but the first one will report.
% 0.15/0.39 % (19388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19383"
% 0.15/0.40 % (19388)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (19388)------------------------------
% 0.15/0.40 % (19388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (19388)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (19388)Memory used [KB]: 1234
% 0.15/0.40 % (19388)Time elapsed: 0.011 s
% 0.15/0.40 % (19388)Instructions burned: 17 (million)
% 0.15/0.40 % (19383)Success in time 0.03 s
%------------------------------------------------------------------------------