TSTP Solution File: SWC002-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC002-1 : 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 : n012.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 18:41:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 187 ( 67 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 299 ( 156 ~; 143 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f297,plain,
$false,
inference(subsumption_resolution,[],[f296,f266]) ).
fof(f266,plain,
sk3 = app(sk7,sk8),
inference(subsumption_resolution,[],[f212,f261]) ).
fof(f261,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f212,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
fof(f296,plain,
sk3 != app(sk7,sk8),
inference(subsumption_resolution,[],[f295,f264]) ).
fof(f264,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f209,f261]) ).
fof(f209,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f295,plain,
( ~ ssList(sk7)
| sk3 != app(sk7,sk8) ),
inference(subsumption_resolution,[],[f294,f265]) ).
fof(f265,plain,
ssList(sk8),
inference(subsumption_resolution,[],[f210,f261]) ).
fof(f210,axiom,
( ~ neq(sk4,nil)
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f294,plain,
( ~ ssList(sk8)
| sk3 != app(sk7,sk8)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
( ~ ssList(sk8)
| sk4 != sk4
| ~ ssList(sk7)
| sk3 != app(sk7,sk8) ),
inference(superposition,[],[f290,f267]) ).
fof(f267,plain,
sk4 = app(app(sk7,cons(sk6,nil)),sk8),
inference(subsumption_resolution,[],[f211,f261]) ).
fof(f211,axiom,
( ~ neq(sk4,nil)
| sk4 = app(app(sk7,cons(sk6,nil)),sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
fof(f290,plain,
! [X0,X1] :
( sk4 != app(app(X0,cons(sk6,nil)),X1)
| app(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f289,f263]) ).
fof(f263,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f208,f261]) ).
fof(f208,axiom,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f289,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sk6)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| app(X0,X1) != sk3 ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
! [X0,X1] :
( app(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| app(X0,X1) != sk3
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(resolution,[],[f285,f269]) ).
fof(f269,plain,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk3 != app(X7,X8)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(app(X7,cons(X6,nil)),X8) ),
inference(subsumption_resolution,[],[f218,f261]) ).
fof(f218,plain,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| ~ ssItem(X6)
| sk3 != app(X7,X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| sk4 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f204,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f204,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| sk1 != app(X7,X8)
| ~ ssItem(X6)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f285,plain,
! [X0,X1] :
( ~ ssItem(sk5(X1,X0,sk6))
| app(X0,X1) != sk3
| ~ ssList(X0)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f284,f263]) ).
fof(f284,plain,
! [X0,X1] :
( ~ ssItem(sk6)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != sk3
| ~ ssItem(sk5(X1,X0,sk6)) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
! [X0,X1] :
( ~ ssList(X0)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| app(X0,X1) != sk3
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk3
| ~ ssList(X1)
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| ~ ssItem(sk5(X1,X0,sk6))
| ~ ssItem(sk6) ),
inference(resolution,[],[f282,f273]) ).
fof(f273,plain,
! [X8,X6,X7] :
( memberP(sk4,sk5(X8,X7,X6))
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssItem(X6) ),
inference(subsumption_resolution,[],[f221,f261]) ).
fof(f221,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ neq(sk4,nil)
| memberP(sk4,sk5(X8,X7,X6))
| ~ ssList(X7)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| sk3 != app(X7,X8) ),
inference(definition_unfolding,[],[f205,f190,f191,f190]) ).
fof(f205,axiom,
! [X8,X6,X7] :
( memberP(sk2,sk5(X8,X7,X6))
| sk1 != app(X7,X8)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f282,plain,
! [X0,X1] :
( ~ memberP(sk4,sk5(X1,X0,sk6))
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| ~ ssItem(sk5(X1,X0,sk6))
| ~ ssList(X0)
| app(X0,X1) != sk3
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f272,f275]) ).
fof(f275,plain,
! [X0,X1] :
( sk4 != app(app(X0,cons(sk6,nil)),X1)
| app(X0,X1) != sk3
| sk6 != sk5(X1,X0,sk6)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f274,f263]) ).
fof(f274,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| sk3 != app(X7,X8)
| sk5(X8,X7,X6) != X6
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f223,f261]) ).
fof(f223,plain,
! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ neq(sk4,nil)
| ~ ssList(X8)
| ~ ssItem(X6)
| sk5(X8,X7,X6) != X6
| ~ ssList(X7)
| sk3 != app(X7,X8) ),
inference(definition_unfolding,[],[f207,f191,f190]) ).
fof(f207,axiom,
! [X8,X6,X7] :
( sk5(X8,X7,X6) != X6
| sk1 != app(X7,X8)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f272,plain,
! [X0,X1] :
( ~ ssList(X0)
| app(X0,X1) != sk3
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| sk6 = sk5(X1,X0,sk6)
| ~ memberP(sk4,sk5(X1,X0,sk6))
| ~ ssItem(sk5(X1,X0,sk6))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f271,f263]) ).
fof(f271,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != sk3
| sk6 = sk5(X1,X0,sk6)
| ~ ssItem(sk6)
| ~ memberP(sk4,sk5(X1,X0,sk6))
| sk4 != app(app(X0,cons(sk6,nil)),X1)
| ~ ssItem(sk5(X1,X0,sk6)) ),
inference(resolution,[],[f270,f268]) ).
fof(f268,plain,
! [X6] :
( ~ geq(X6,sk6)
| ~ memberP(sk4,X6)
| sk6 = X6
| ~ ssItem(X6) ),
inference(subsumption_resolution,[],[f213,f261]) ).
fof(f213,axiom,
! [X6] :
( ~ geq(X6,sk6)
| ~ neq(sk4,nil)
| sk6 = X6
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
fof(f270,plain,
! [X8,X6,X7] :
( geq(sk5(X8,X7,X6),X6)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| sk3 != app(X7,X8) ),
inference(subsumption_resolution,[],[f216,f261]) ).
fof(f216,plain,
! [X8,X6,X7] :
( ~ ssList(X7)
| geq(sk5(X8,X7,X6),X6)
| ~ ssList(X8)
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f190,f191]) ).
fof(f206,axiom,
! [X8,X6,X7] :
( sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| sk1 != app(X7,X8)
| ~ neq(sk4,nil)
| ~ ssList(X8)
| ~ ssList(X7)
| geq(sk5(X8,X7,X6),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC002-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:51:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (18434)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.48 % (18409)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)
% 0.20/0.48 % (18423)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (18417)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (18415)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (18433)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)
% 0.20/0.50 % (18425)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)
% 0.20/0.50 % (18417)Instruction limit reached!
% 0.20/0.50 % (18417)------------------------------
% 0.20/0.50 % (18417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18417)Termination reason: Unknown
% 0.20/0.50 % (18417)Termination phase: Function definition elimination
% 0.20/0.50
% 0.20/0.50 % (18417)Memory used [KB]: 1023
% 0.20/0.50 % (18417)Time elapsed: 0.004 s
% 0.20/0.50 % (18417)Instructions burned: 2 (million)
% 0.20/0.50 % (18417)------------------------------
% 0.20/0.50 % (18417)------------------------------
% 0.20/0.50 % (18410)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)
% 0.20/0.50 % (18426)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)
% 0.20/0.51 % (18421)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 % (18412)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)
% 0.20/0.51 % (18420)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)
% 0.20/0.51 % (18416)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (18432)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)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (18431)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (18416)Instruction limit reached!
% 0.20/0.51 % (18416)------------------------------
% 0.20/0.51 % (18416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18416)Termination reason: Unknown
% 0.20/0.51 % (18416)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (18416)Memory used [KB]: 5628
% 0.20/0.51 % (18416)Time elapsed: 0.004 s
% 0.20/0.51 % (18416)Instructions burned: 7 (million)
% 0.20/0.51 % (18416)------------------------------
% 0.20/0.51 % (18416)------------------------------
% 0.20/0.52 % (18418)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)
% 0.20/0.52 % (18414)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)
% 0.20/0.52 % (18424)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)
% 0.20/0.53 % (18411)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)
% 0.20/0.53 % (18413)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (18419)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (18427)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (18432)First to succeed.
% 0.20/0.54 % (18437)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 % (18438)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (18439)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 % (18436)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 % (18435)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (18432)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
% 0.20/0.54 % (18432)------------------------------
% 0.20/0.54 % (18432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18432)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (18432)Memory used [KB]: 1279
% 0.20/0.54 % (18432)Time elapsed: 0.142 s
% 0.20/0.54 % (18432)Instructions burned: 10 (million)
% 0.20/0.54 % (18432)------------------------------
% 0.20/0.54 % (18432)------------------------------
% 0.20/0.54 % (18403)Success in time 0.196 s
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