TSTP Solution File: SWC328-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC328-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 May 21 05:13:14 EDT 2024
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 41
% Syntax : Number of formulae : 82 ( 40 unt; 0 def)
% Number of atoms : 135 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 43 ~; 34 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 20 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f368,plain,
$false,
inference(avatar_sat_refutation,[],[f283,f288,f293,f298,f303,f308,f313,f318,f323,f328,f333,f337,f341,f345,f349,f354,f358,f362,f366,f367]) ).
fof(f367,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f350,f343,f330,f285]) ).
fof(f285,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f330,plain,
( spl0_11
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f343,plain,
( spl0_14
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f350,plain,
( ~ ssList(sk4)
| spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f344,f332]) ).
fof(f332,plain,
( ~ segmentP(sk4,sk3)
| spl0_11 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f344,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f366,plain,
spl0_19,
inference(avatar_split_clause,[],[f210,f364]) ).
fof(f364,plain,
( spl0_19
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f210,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,sk3)) ),
inference(definition_unfolding,[],[f69,f190]) ).
fof(f190,axiom,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f362,plain,
spl0_18,
inference(avatar_split_clause,[],[f209,f360]) ).
fof(f360,plain,
( spl0_18
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f209,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,sk3)) ),
inference(definition_unfolding,[],[f68,f190]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f358,plain,
spl0_17,
inference(avatar_split_clause,[],[f208,f356]) ).
fof(f356,plain,
( spl0_17
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,sk3)) ),
inference(definition_unfolding,[],[f64,f190]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f354,plain,
spl0_16,
inference(avatar_split_clause,[],[f207,f352]) ).
fof(f352,plain,
( spl0_16
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f207,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,sk3)) ),
inference(definition_unfolding,[],[f65,f190]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f349,plain,
spl0_15,
inference(avatar_split_clause,[],[f216,f347]) ).
fof(f347,plain,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f216,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,sk3) ),
inference(definition_unfolding,[],[f60,f190]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f345,plain,
spl0_14,
inference(avatar_split_clause,[],[f215,f343]) ).
fof(f215,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3) ),
inference(definition_unfolding,[],[f56,f190]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f341,plain,
spl0_13,
inference(avatar_split_clause,[],[f214,f339]) ).
fof(f339,plain,
( spl0_13
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f214,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,sk3) ),
inference(definition_unfolding,[],[f58,f190]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f337,plain,
spl0_12,
inference(avatar_split_clause,[],[f206,f335]) ).
fof(f335,plain,
( spl0_12
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f206,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(definition_unfolding,[],[f71,f190]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f333,plain,
( ~ spl0_11
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f196,f300,f330]) ).
fof(f300,plain,
( spl0_5
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f196,plain,
( ~ equalelemsP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f193,f192,f191,f192]) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f193,axiom,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f328,plain,
spl0_10,
inference(avatar_split_clause,[],[f204,f325]) ).
fof(f325,plain,
( spl0_10
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f204,plain,
strictorderedP(sk3),
inference(definition_unfolding,[],[f3,f190]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f323,plain,
spl0_9,
inference(avatar_split_clause,[],[f203,f320]) ).
fof(f320,plain,
( spl0_9
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f203,plain,
totalorderedP(sk3),
inference(definition_unfolding,[],[f4,f190]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f318,plain,
spl0_8,
inference(avatar_split_clause,[],[f202,f315]) ).
fof(f315,plain,
( spl0_8
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f202,plain,
cyclefreeP(sk3),
inference(definition_unfolding,[],[f7,f190]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f313,plain,
spl0_7,
inference(avatar_split_clause,[],[f201,f310]) ).
fof(f310,plain,
( spl0_7
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f201,plain,
totalorderP(sk3),
inference(definition_unfolding,[],[f6,f190]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f308,plain,
spl0_6,
inference(avatar_split_clause,[],[f200,f305]) ).
fof(f305,plain,
( spl0_6
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f200,plain,
strictorderP(sk3),
inference(definition_unfolding,[],[f5,f190]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f303,plain,
spl0_5,
inference(avatar_split_clause,[],[f199,f300]) ).
fof(f199,plain,
equalelemsP(sk3),
inference(definition_unfolding,[],[f1,f190]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f298,plain,
spl0_4,
inference(avatar_split_clause,[],[f198,f295]) ).
fof(f295,plain,
( spl0_4
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f198,plain,
duplicatefreeP(sk3),
inference(definition_unfolding,[],[f2,f190]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f293,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f197,f290]) ).
fof(f290,plain,
( spl0_3
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f197,plain,
~ singletonP(sk3),
inference(definition_unfolding,[],[f11,f190]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f288,plain,
spl0_2,
inference(avatar_split_clause,[],[f189,f285]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f283,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f280]) ).
fof(f280,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC328-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 03:36:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (5678)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (5681)WARNING: value z3 for option sas not known
% 0.20/0.37 % (5681)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)
% 0.20/0.38 % (5685)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)
% 0.20/0.38 % (5684)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)
% 0.20/0.38 % (5683)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)
% 0.20/0.38 % (5682)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (5680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (5679)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (5683)First to succeed.
% 0.20/0.38 % (5684)Also succeeded, but the first one will report.
% 0.20/0.38 % (5681)Also succeeded, but the first one will report.
% 0.20/0.38 % (5683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5678"
% 0.20/0.38 % (5683)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (5683)------------------------------
% 0.20/0.38 % (5683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (5683)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (5683)Memory used [KB]: 1057
% 0.20/0.38 % (5683)Time elapsed: 0.006 s
% 0.20/0.38 % (5683)Instructions burned: 10 (million)
% 0.20/0.38 % (5678)Success in time 0.026 s
%------------------------------------------------------------------------------