TSTP Solution File: SWC029-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC029-1 : 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 : n001.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 18:41:17 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 58 ( 21 unt; 0 def)
% Number of atoms : 117 ( 48 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 54 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f985,plain,
$false,
inference(subsumption_resolution,[],[f978,f11]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f978,plain,
singletonP(nil),
inference(backward_demodulation,[],[f723,f825]) ).
fof(f825,plain,
nil = sF0,
inference(backward_demodulation,[],[f684,f815]) ).
fof(f815,plain,
nil = app(nil,sF0),
inference(backward_demodulation,[],[f652,f808]) ).
fof(f808,plain,
nil = sk6,
inference(subsumption_resolution,[],[f807,f666]) ).
fof(f666,plain,
ssList(sF0),
inference(resolution,[],[f638,f401]) ).
fof(f401,plain,
( ~ ssItem(sk5)
| ssList(sF0) ),
inference(subsumption_resolution,[],[f400,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f400,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f86,f225]) ).
fof(f225,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f638,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f637,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f637,plain,
( ~ ssList(sk2)
| ssItem(sk5) ),
inference(subsumption_resolution,[],[f636,f8]) ).
fof(f636,plain,
( ~ ssList(nil)
| ssItem(sk5)
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f631,f257]) ).
fof(f257,plain,
nil != sk2,
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( nil != sk2
| nil != nil ),
inference(backward_demodulation,[],[f200,f252]) ).
fof(f252,plain,
nil = sk1,
inference(subsumption_resolution,[],[f251,f197]) ).
fof(f197,axiom,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f251,plain,
( nil != sk2
| nil = sk1 ),
inference(superposition,[],[f243,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f243,plain,
( nil != sk4
| nil = sk1 ),
inference(backward_demodulation,[],[f192,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f200,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f631,plain,
( nil = sk2
| ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(resolution,[],[f100,f237]) ).
fof(f237,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f193,f190]) ).
fof(f193,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f807,plain,
( ~ ssList(sF0)
| nil = sk6 ),
inference(subsumption_resolution,[],[f806,f655]) ).
fof(f655,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f654,f257]) ).
fof(f654,plain,
( ssList(sk6)
| nil = sk2 ),
inference(subsumption_resolution,[],[f653,f8]) ).
fof(f653,plain,
( ssList(sk6)
| ~ ssList(nil)
| nil = sk2 ),
inference(subsumption_resolution,[],[f630,f187]) ).
fof(f630,plain,
( ~ ssList(sk2)
| ssList(sk6)
| ~ ssList(nil)
| nil = sk2 ),
inference(resolution,[],[f100,f244]) ).
fof(f244,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f806,plain,
( ~ ssList(sk6)
| nil = sk6
| ~ ssList(sF0) ),
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
( ~ ssList(sk6)
| nil = sk6
| ~ ssList(sF0)
| nil != nil ),
inference(superposition,[],[f118,f652]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f652,plain,
nil = app(sk6,sF0),
inference(backward_demodulation,[],[f228,f648]) ).
fof(f648,plain,
nil = sF2,
inference(subsumption_resolution,[],[f647,f257]) ).
fof(f647,plain,
( nil = sk2
| nil = sF2 ),
inference(subsumption_resolution,[],[f646,f187]) ).
fof(f646,plain,
( nil = sF2
| ~ ssList(sk2)
| nil = sk2 ),
inference(subsumption_resolution,[],[f628,f8]) ).
fof(f628,plain,
( ~ ssList(nil)
| nil = sk2
| nil = sF2
| ~ ssList(sk2) ),
inference(resolution,[],[f100,f256]) ).
fof(f256,plain,
( ~ neq(sk2,nil)
| nil = sF2 ),
inference(backward_demodulation,[],[f241,f252]) ).
fof(f241,plain,
( ~ neq(sk2,nil)
| sk1 = sF2 ),
inference(backward_demodulation,[],[f240,f191]) ).
fof(f240,plain,
( sk3 = sF2
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f229,f190]) ).
fof(f229,plain,
( sk3 = sF2
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f196,f228,f225]) ).
fof(f196,axiom,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f228,plain,
app(sk6,sF0) = sF2,
introduced(function_definition,[]) ).
fof(f684,plain,
sF0 = app(nil,sF0),
inference(resolution,[],[f666,f74]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f723,plain,
singletonP(sF0),
inference(subsumption_resolution,[],[f722,f666]) ).
fof(f722,plain,
( singletonP(sF0)
| ~ ssList(sF0) ),
inference(subsumption_resolution,[],[f720,f638]) ).
fof(f720,plain,
( ~ ssItem(sk5)
| singletonP(sF0)
| ~ ssList(sF0) ),
inference(superposition,[],[f224,f225]) ).
fof(f224,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC029-1 : 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
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 18:20:32 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.47 % (26854)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)
% 0.20/0.47 % (26862)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)
% 0.20/0.48 % (26846)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (26842)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)
% 0.20/0.49 % (26843)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (26845)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)
% 0.20/0.49 % (26846)Instruction limit reached!
% 0.20/0.49 % (26846)------------------------------
% 0.20/0.49 % (26846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (26846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (26846)Termination reason: Unknown
% 0.20/0.49 % (26846)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (26846)Memory used [KB]: 5756
% 0.20/0.49 % (26846)Time elapsed: 0.082 s
% 0.20/0.49 % (26846)Instructions burned: 7 (million)
% 0.20/0.49 % (26846)------------------------------
% 0.20/0.49 % (26846)------------------------------
% 0.20/0.50 % (26867)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)
% 0.20/0.50 % (26868)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (26859)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)
% 0.20/0.50 % (26857)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (26858)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)
% 0.20/0.50 % (26860)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (26844)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)
% 0.20/0.50 % (26852)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (26869)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)
% 0.20/0.51 % (26851)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (26840)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)
% 0.20/0.51 % (26849)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 % (26839)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)
% 0.20/0.51 % (26853)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)
% 0.20/0.52 % (26850)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)
% 0.20/0.52 % (26861)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)
% 0.20/0.52 % (26841)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)
% 0.20/0.52 % (26863)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 % (26865)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (26866)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)
% 0.20/0.52 % (26855)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (26854)First to succeed.
% 0.20/0.53 % (26847)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (26856)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (26854)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (26854)------------------------------
% 0.20/0.53 % (26854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26854)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (26854)Memory used [KB]: 1791
% 0.20/0.53 % (26854)Time elapsed: 0.119 s
% 0.20/0.53 % (26854)Instructions burned: 38 (million)
% 0.20/0.53 % (26854)------------------------------
% 0.20/0.53 % (26854)------------------------------
% 0.20/0.53 % (26835)Success in time 0.192 s
%------------------------------------------------------------------------------