TSTP Solution File: SWC366-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC366-1 : 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 : n017.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 18:43:24 EDT 2022
% Result : Unsatisfiable 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 171 ( 45 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 223 ( 108 ~; 115 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f545,plain,
$false,
inference(subsumption_resolution,[],[f543,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f543,plain,
~ ssList(nil),
inference(resolution,[],[f515,f239]) ).
fof(f239,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ neq(X0,X1)
| ~ ssList(X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f515,plain,
neq(nil,nil),
inference(backward_demodulation,[],[f238,f511]) ).
fof(f511,plain,
nil = sk2,
inference(subsumption_resolution,[],[f510,f406]) ).
fof(f406,plain,
( ssList(sF1)
| nil = sk2 ),
inference(resolution,[],[f398,f365]) ).
fof(f365,plain,
( ssItem(sF0)
| nil = sk2 ),
inference(subsumption_resolution,[],[f364,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f364,plain,
( ~ ssList(sk2)
| nil = sk2
| ssItem(sF0) ),
inference(superposition,[],[f76,f244]) ).
fof(f244,plain,
hd(sk2) = sF0,
inference(backward_demodulation,[],[f228,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f228,plain,
hd(sk4) = sF0,
introduced(function_definition,[]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f398,plain,
( ~ ssItem(sF0)
| ssList(sF1) ),
inference(subsumption_resolution,[],[f397,f8]) ).
fof(f397,plain,
( ~ ssItem(sF0)
| ssList(sF1)
| ~ ssList(nil) ),
inference(superposition,[],[f86,f229]) ).
fof(f229,plain,
cons(sF0,nil) = sF1,
introduced(function_definition,[]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f510,plain,
( ~ ssList(sF1)
| nil = sk2 ),
inference(subsumption_resolution,[],[f505,f246]) ).
fof(f246,plain,
~ rearsegP(sk2,sk1),
inference(subsumption_resolution,[],[f242,f238]) ).
fof(f242,plain,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(backward_demodulation,[],[f197,f190]) ).
fof(f197,axiom,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f505,plain,
( nil = sk2
| ~ ssList(sF1)
| rearsegP(sk2,sk1) ),
inference(superposition,[],[f439,f502]) ).
fof(f502,plain,
( sk2 = sF2
| nil = sk2 ),
inference(subsumption_resolution,[],[f501,f365]) ).
fof(f501,plain,
( ~ ssItem(sF0)
| sk2 = sF2
| nil = sk2 ),
inference(subsumption_resolution,[],[f500,f428]) ).
fof(f428,plain,
( ssList(sF2)
| nil = sk2 ),
inference(resolution,[],[f406,f393]) ).
fof(f393,plain,
( ~ ssList(sF1)
| ssList(sF2) ),
inference(subsumption_resolution,[],[f391,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f391,plain,
( ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(sk1) ),
inference(superposition,[],[f85,f251]) ).
fof(f251,plain,
sF2 = app(sF1,sk1),
inference(forward_demodulation,[],[f230,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f230,plain,
sF2 = app(sF1,sk3),
introduced(function_definition,[]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f500,plain,
( ~ ssList(sF2)
| sk2 = sF2
| nil = sk2
| ~ ssItem(sF0) ),
inference(subsumption_resolution,[],[f499,f398]) ).
fof(f499,plain,
( sk2 = sF2
| nil = sk2
| ~ ssList(sF2)
| ~ ssItem(sF0)
| ~ ssList(sF1) ),
inference(subsumption_resolution,[],[f498,f187]) ).
fof(f498,plain,
( ~ ssList(sF1)
| ~ ssItem(sF0)
| nil = sk2
| ~ ssList(sF2)
| ~ ssList(sk2)
| sk2 = sF2 ),
inference(subsumption_resolution,[],[f493,f8]) ).
fof(f493,plain,
( sk2 = sF2
| ~ ssList(sF2)
| ~ ssItem(sF0)
| ~ ssList(sF1)
| ~ ssList(nil)
| ~ ssList(sk2)
| nil = sk2 ),
inference(resolution,[],[f100,f249]) ).
fof(f249,plain,
( ~ neq(nil,sk2)
| ~ ssList(sF2)
| ~ ssList(sF1)
| sk2 = sF2
| ~ ssItem(sF0) ),
inference(subsumption_resolution,[],[f248,f238]) ).
fof(f248,plain,
( ~ ssItem(sF0)
| ~ neq(sk2,nil)
| ~ ssList(sF1)
| sk2 = sF2
| ~ ssList(sF2)
| ~ neq(nil,sk2) ),
inference(forward_demodulation,[],[f247,f190]) ).
fof(f247,plain,
( ~ neq(nil,sk2)
| ~ ssList(sF2)
| ~ ssItem(sF0)
| ~ neq(sk4,nil)
| ~ ssList(sF1)
| sk2 = sF2 ),
inference(forward_demodulation,[],[f243,f190]) ).
fof(f243,plain,
( sk4 = sF2
| ~ ssList(sF2)
| ~ ssList(sF1)
| ~ neq(sk4,nil)
| ~ ssItem(sF0)
| ~ neq(nil,sk2) ),
inference(backward_demodulation,[],[f231,f190]) ).
fof(f231,plain,
( ~ neq(sk4,nil)
| ~ ssList(sF2)
| ~ ssList(sF1)
| sk4 = sF2
| ~ neq(nil,sk4)
| ~ ssItem(sF0) ),
inference(definition_folding,[],[f201,f230,f229,f228,f229,f228,f230,f229,f228,f228]) ).
fof(f201,plain,
( ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(app(cons(hd(sk4),nil),sk3))
| ~ ssList(cons(hd(sk4),nil))
| sk4 = app(cons(hd(sk4),nil),sk3)
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X7] :
( ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(app(X7,sk3))
| ~ ssList(X7)
| cons(hd(sk4),nil) != X7
| sk4 = app(X7,sk3)
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X8,X7] :
( ~ neq(sk4,nil)
| ~ ssItem(X8)
| ~ ssList(app(X7,sk3))
| ~ ssList(X7)
| hd(sk4) != X8
| cons(X8,nil) != X7
| sk4 = app(X7,sk3)
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| ~ ssItem(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| app(X7,sk3) != X6
| hd(sk4) != X8
| cons(X8,nil) != X7
| sk4 = X6
| ~ neq(nil,sk4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f439,plain,
( rearsegP(sF2,sk1)
| ~ ssList(sF1) ),
inference(subsumption_resolution,[],[f437,f186]) ).
fof(f437,plain,
( ~ ssList(sk1)
| rearsegP(sF2,sk1)
| ~ ssList(sF1) ),
inference(superposition,[],[f241,f251]) ).
fof(f241,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f211,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X2)
| ~ ssList(X0)
| rearsegP(X2,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f238,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWC366-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 18:14:20 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (14482)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)
% 0.16/0.47 % (14464)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)
% 0.16/0.48 % (14474)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)
% 0.16/0.49 % (14470)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)
% 0.16/0.49 % (14466)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (14481)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)
% 0.16/0.50 % (14466)Instruction limit reached!
% 0.16/0.50 % (14466)------------------------------
% 0.16/0.50 % (14466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (14466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (14465)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)
% 0.16/0.50 % (14466)Termination reason: Unknown
% 0.16/0.50 % (14466)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (14466)Memory used [KB]: 5628
% 0.16/0.50 % (14466)Time elapsed: 0.080 s
% 0.16/0.50 % (14466)Instructions burned: 7 (million)
% 0.16/0.50 % (14473)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)
% 0.16/0.50 % (14466)------------------------------
% 0.16/0.50 % (14466)------------------------------
% 0.16/0.51 % (14479)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)
% 0.16/0.51 % (14460)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)
% 0.16/0.52 % (14468)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)
% 0.16/0.52 % (14467)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.52 % (14469)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 % (14467)Instruction limit reached!
% 0.16/0.52 % (14467)------------------------------
% 0.16/0.52 % (14467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (14467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (14467)Termination reason: Unknown
% 0.16/0.52 % (14467)Termination phase: Function definition elimination
% 0.16/0.52
% 0.16/0.52 % (14467)Memory used [KB]: 1023
% 0.16/0.52 % (14467)Time elapsed: 0.003 s
% 0.16/0.52 % (14467)Instructions burned: 2 (million)
% 0.16/0.52 % (14467)------------------------------
% 0.16/0.52 % (14467)------------------------------
% 0.16/0.52 % (14474)First to succeed.
% 0.16/0.52 % (14486)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)
% 0.16/0.52 % (14487)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52 % (14462)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)
% 0.16/0.53 % (14461)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)
% 0.16/0.53 % (14474)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (14474)------------------------------
% 0.16/0.53 % (14474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (14474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (14474)Termination reason: Refutation
% 0.16/0.53
% 0.16/0.53 % (14474)Memory used [KB]: 1407
% 0.16/0.53 % (14474)Time elapsed: 0.098 s
% 0.16/0.53 % (14474)Instructions burned: 22 (million)
% 0.16/0.53 % (14474)------------------------------
% 0.16/0.53 % (14474)------------------------------
% 0.16/0.53 % (14458)Success in time 0.203 s
%------------------------------------------------------------------------------