TSTP Solution File: SWC325-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC325-1 : 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 : n027.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 18:43:10 EDT 2022
% Result : Unsatisfiable 2.04s 0.65s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 17 unt; 0 def)
% Number of atoms : 131 ( 68 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 136 ( 65 ~; 71 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f645,plain,
$false,
inference(subsumption_resolution,[],[f644,f587]) ).
fof(f587,plain,
nil != sk1,
inference(backward_demodulation,[],[f383,f570]) ).
fof(f570,plain,
nil = sk2,
inference(subsumption_resolution,[],[f569,f525]) ).
fof(f525,plain,
( sk1 = sF1
| nil = sk2 ),
inference(subsumption_resolution,[],[f524,f235]) ).
fof(f235,plain,
ssList(sk2),
inference(backward_demodulation,[],[f189,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f524,plain,
( nil = sk2
| sk1 = sF1
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f510,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f510,plain,
( ~ ssList(nil)
| sk1 = sF1
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f100,f243]) ).
fof(f243,plain,
( ~ neq(sk2,nil)
| sk1 = sF1 ),
inference(forward_demodulation,[],[f242,f190]) ).
fof(f242,plain,
( sk1 = sF1
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[],[f224,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f224,plain,
( sk3 = sF1
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f196,f223,f222]) ).
fof(f222,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f223,plain,
sF1 = app(sF0,sk6),
introduced(function_definition,[]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f569,plain,
( nil = sk2
| sk1 != sF1 ),
inference(subsumption_resolution,[],[f568,f523]) ).
fof(f523,plain,
( nil = sk2
| sk2 = sF2 ),
inference(subsumption_resolution,[],[f522,f235]) ).
fof(f522,plain,
( ~ ssList(sk2)
| nil = sk2
| sk2 = sF2 ),
inference(subsumption_resolution,[],[f511,f8]) ).
fof(f511,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2)
| sk2 = sF2 ),
inference(resolution,[],[f100,f236]) ).
fof(f236,plain,
( ~ neq(sk2,nil)
| sk2 = sF2 ),
inference(forward_demodulation,[],[f234,f190]) ).
fof(f234,plain,
( ~ neq(sk2,nil)
| sk4 = sF2 ),
inference(backward_demodulation,[],[f226,f190]) ).
fof(f226,plain,
( sk4 = sF2
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f197,f225,f222]) ).
fof(f225,plain,
sF2 = app(sk6,sF0),
introduced(function_definition,[]) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f568,plain,
( sk2 != sF2
| sk1 != sF1
| nil = sk2 ),
inference(subsumption_resolution,[],[f561,f519]) ).
fof(f519,plain,
( ssList(sk6)
| nil = sk2 ),
inference(subsumption_resolution,[],[f518,f235]) ).
fof(f518,plain,
( ssList(sk6)
| ~ ssList(sk2)
| nil = sk2 ),
inference(subsumption_resolution,[],[f512,f8]) ).
fof(f512,plain,
( ssList(sk6)
| ~ ssList(nil)
| ~ ssList(sk2)
| nil = sk2 ),
inference(resolution,[],[f100,f239]) ).
fof(f239,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f195,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f561,plain,
( sk2 != sF2
| nil = sk2
| ~ ssList(sk6)
| sk1 != sF1 ),
inference(resolution,[],[f548,f248]) ).
fof(f248,plain,
( ~ ssList(sF0)
| sk2 != sF2
| ~ ssList(sk6)
| sk1 != sF1 ),
inference(forward_demodulation,[],[f247,f223]) ).
fof(f247,plain,
( ~ ssList(sF0)
| ~ ssList(sk6)
| sk2 != sF2
| sk1 != app(sF0,sk6) ),
inference(superposition,[],[f192,f225]) ).
fof(f192,axiom,
! [X6,X7] :
( sk2 != app(X6,X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk1 != app(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f548,plain,
( ssList(sF0)
| nil = sk2 ),
inference(resolution,[],[f521,f378]) ).
fof(f378,plain,
( ~ ssItem(sk5)
| ssList(sF0) ),
inference(subsumption_resolution,[],[f377,f8]) ).
fof(f377,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f86,f222]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f521,plain,
( ssItem(sk5)
| nil = sk2 ),
inference(subsumption_resolution,[],[f520,f235]) ).
fof(f520,plain,
( ssItem(sk5)
| nil = sk2
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f513,f8]) ).
fof(f513,plain,
( nil = sk2
| ~ ssList(nil)
| ~ ssList(sk2)
| ssItem(sk5) ),
inference(resolution,[],[f100,f238]) ).
fof(f238,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f383,plain,
sk1 != sk2,
inference(subsumption_resolution,[],[f382,f352]) ).
fof(f352,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f382,plain,
( sk1 != app(nil,sk1)
| sk1 != sk2 ),
inference(subsumption_resolution,[],[f381,f186]) ).
fof(f381,plain,
( ~ ssList(sk1)
| sk1 != sk2
| sk1 != app(nil,sk1) ),
inference(subsumption_resolution,[],[f380,f8]) ).
fof(f380,plain,
( ~ ssList(nil)
| sk1 != app(nil,sk1)
| sk1 != sk2
| ~ ssList(sk1) ),
inference(superposition,[],[f192,f318]) ).
fof(f318,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f644,plain,
nil = sk1,
inference(trivial_inequality_removal,[],[f643]) ).
fof(f643,plain,
( nil = sk1
| nil != nil ),
inference(superposition,[],[f241,f571]) ).
fof(f571,plain,
nil = sk4,
inference(backward_demodulation,[],[f190,f570]) ).
fof(f241,plain,
( nil != sk4
| nil = sk1 ),
inference(backward_demodulation,[],[f193,f191]) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC325-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:02:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.57 % (22138)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)
% 0.20/0.57 % (22130)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)
% 0.20/0.57 % (22122)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (22131)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.58 % (22123)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (22123)Instruction limit reached!
% 0.20/0.58 % (22123)------------------------------
% 0.20/0.58 % (22123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (22123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (22123)Termination reason: Unknown
% 0.20/0.58 % (22123)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (22123)Memory used [KB]: 5628
% 0.20/0.58 % (22123)Time elapsed: 0.144 s
% 0.20/0.58 % (22123)Instructions burned: 7 (million)
% 0.20/0.58 % (22123)------------------------------
% 0.20/0.58 % (22123)------------------------------
% 0.20/0.58 % (22139)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.60 TRYING [1]
% 0.20/0.61 TRYING [2]
% 0.20/0.61 % (22118)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.62 % (22121)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)
% 0.20/0.62 % (22120)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62 % (22141)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62 % (22137)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.62 % (22135)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)
% 0.20/0.62 % (22142)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)
% 0.20/0.62 % (22136)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.63 % (22133)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.63 % (22127)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)
% 0.20/0.63 % (22128)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.63 % (22134)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.63 % (22119)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)
% 0.20/0.63 % (22116)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)
% 0.20/0.64 % (22129)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.64 % (22125)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.64 % (22126)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.64 % (22144)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.64 % (22131)First to succeed.
% 0.20/0.64 % (22117)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)
% 2.04/0.64 % (22143)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)
% 2.04/0.64 % (22145)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)
% 2.04/0.65 % (22131)Refutation found. Thanks to Tanya!
% 2.04/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.04/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.65 % (22131)------------------------------
% 2.04/0.65 % (22131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.65 % (22131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.65 % (22131)Termination reason: Refutation
% 2.04/0.65
% 2.04/0.65 % (22131)Memory used [KB]: 1535
% 2.04/0.65 % (22131)Time elapsed: 0.187 s
% 2.04/0.65 % (22131)Instructions burned: 27 (million)
% 2.04/0.65 % (22131)------------------------------
% 2.04/0.65 % (22131)------------------------------
% 2.04/0.65 % (22115)Success in time 0.291 s
%------------------------------------------------------------------------------