TSTP Solution File: SWC415-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC415-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:43:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 124 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 135 ( 63 ~; 64 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f287,f292,f396,f398,f700,f703,f706,f731]) ).
fof(f731,plain,
( ~ spl1_2
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f728,f389,f249]) ).
fof(f249,plain,
( spl1_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f389,plain,
( spl1_12
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f728,plain,
( ~ ssList(nil)
| ~ spl1_12 ),
inference(resolution,[],[f719,f242]) ).
fof(f242,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ neq(X0,X1)
| ~ ssList(X0)
| X0 != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f719,plain,
( neq(nil,nil)
| ~ spl1_12 ),
inference(superposition,[],[f244,f391]) ).
fof(f391,plain,
( nil = sk4
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f244,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f706,plain,
spl1_11,
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| spl1_11 ),
inference(resolution,[],[f291,f201]) ).
fof(f201,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f291,plain,
( ~ ssList(sk3)
| spl1_11 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl1_11
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f703,plain,
spl1_8,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| spl1_8 ),
inference(resolution,[],[f278,f244]) ).
fof(f278,plain,
( ~ neq(sk4,nil)
| spl1_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl1_8
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f700,plain,
( spl1_12
| ~ spl1_13
| ~ spl1_2
| spl1_9 ),
inference(avatar_split_clause,[],[f695,f280,f249,f393,f389]) ).
fof(f393,plain,
( spl1_13
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f280,plain,
( spl1_9
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f695,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl1_9 ),
inference(resolution,[],[f100,f282]) ).
fof(f282,plain,
( ~ neq(nil,sk4)
| spl1_9 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f398,plain,
spl1_13,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| spl1_13 ),
inference(resolution,[],[f395,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f395,plain,
( ~ ssList(sk4)
| spl1_13 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f396,plain,
( spl1_7
| spl1_12
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f387,f393,f389,f272]) ).
fof(f272,plain,
( spl1_7
<=> ssList(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f387,plain,
( ~ ssList(sk4)
| nil = sk4
| ssList(sF0) ),
inference(superposition,[],[f77,f233]) ).
fof(f233,plain,
tl(sk4) = sF0,
introduced(function_definition,[]) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f292,plain,
( ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f236,f289,f284,f280,f276]) ).
fof(f284,plain,
( spl1_10
<=> sk3 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f236,plain,
( ~ ssList(sk3)
| sk3 != sF0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f212,f233]) ).
fof(f212,plain,
( ~ neq(nil,sk4)
| ~ ssList(sk3)
| ~ neq(sk4,nil)
| sk3 != tl(sk4) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X6] :
( ~ neq(nil,sk4)
| sk3 != X6
| ~ ssList(X6)
| ~ neq(sk4,nil)
| tl(sk4) != X6 ),
inference(definition_unfolding,[],[f197,f190,f191,f190]) ).
fof(f197,axiom,
! [X6] :
( ~ neq(nil,sk2)
| sk1 != X6
| ~ ssList(X6)
| ~ neq(sk4,nil)
| tl(sk2) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f287,plain,
( ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| spl1_10 ),
inference(avatar_split_clause,[],[f234,f284,f280,f276,f272]) ).
fof(f234,plain,
( sk3 = sF0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(sF0) ),
inference(definition_folding,[],[f206,f233,f233]) ).
fof(f206,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk3 = tl(sk4) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X6] :
( tl(sk4) != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(X6)
| sk3 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f258,plain,
spl1_2,
inference(avatar_split_clause,[],[f8,f249]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC415-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:04:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (19155)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (19162)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (19176)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (19168)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (19156)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (19161)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (19163)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (19175)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (19151)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (19154)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (19162)First to succeed.
% 0.20/0.53 % (19152)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (19170)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (19165)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (19173)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (19159)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (19159)Instruction limit reached!
% 0.20/0.54 % (19159)------------------------------
% 0.20/0.54 % (19159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19159)Termination reason: Unknown
% 0.20/0.54 % (19159)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (19159)Memory used [KB]: 1151
% 0.20/0.54 % (19159)Time elapsed: 0.004 s
% 0.20/0.54 % (19159)Instructions burned: 3 (million)
% 0.20/0.54 % (19159)------------------------------
% 0.20/0.54 % (19159)------------------------------
% 0.20/0.54 % (19180)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (19178)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (19162)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.54 % (19162)------------------------------
% 1.46/0.54 % (19162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (19162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (19162)Termination reason: Refutation
% 1.46/0.54
% 1.46/0.54 % (19162)Memory used [KB]: 6012
% 1.46/0.54 % (19162)Time elapsed: 0.107 s
% 1.46/0.54 % (19162)Instructions burned: 24 (million)
% 1.46/0.54 % (19162)------------------------------
% 1.46/0.54 % (19162)------------------------------
% 1.46/0.54 % (19150)Success in time 0.193 s
%------------------------------------------------------------------------------