TSTP Solution File: COL088-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL088-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 15:52:03 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 34 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[f115,f161,f192,f248,f263]) ).
fof(f263,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f247,f43]) ).
fof(f43,axiom,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
fof(f247,plain,
( ~ member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))
| spl0_17 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_17
<=> member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f248,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f223,f102,f245,f128]) ).
fof(f128,plain,
( spl0_7
<=> member(comb_app(z,r),comb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f102,plain,
( spl0_5
<=> member(r,comb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f223,plain,
( ~ member(r,comb)
| ~ member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))
| ~ member(comb_app(z,r),comb) ),
inference(resolution,[],[f217,f50]) ).
fof(f50,plain,
! [X0] :
( ~ member(pair(X0,comb_app(z,r)),rtrancl(contract))
| ~ member(pair(comb_app(p,r),X0),rtrancl(contract)) ),
inference(resolution,[],[f49,f44]) ).
fof(f44,axiom,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2c1) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2)) ),
inference(resolution,[],[f32,f33]) ).
fof(f33,axiom,
! [X7] : trans(rtrancl(X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f32,axiom,
! [X8,X6,X9,X7] :
( ~ trans(X7)
| ~ member(pair(X6,X8),X7)
| ~ member(pair(X8,X9),X7)
| member(pair(X6,X9),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
fof(f217,plain,
! [X0] :
( member(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract))
| ~ member(comb_app(z,X0),comb)
| ~ member(X0,comb) ),
inference(resolution,[],[f170,f12]) ).
fof(f12,axiom,
! [X6] :
( member(pair(X6,X6),rtrancl(contract))
| ~ member(X6,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).
fof(f170,plain,
! [X0,X1] :
( ~ member(pair(comb_app(z,X0),X1),rtrancl(contract))
| ~ member(X0,comb)
| member(pair(comb_app(y,X0),X1),rtrancl(contract)) ),
inference(resolution,[],[f37,f42]) ).
fof(f42,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
fof(f37,axiom,
! [X10,X11,X9,X12] :
( ~ member(pair(X11,X10),contract)
| ~ member(X12,comb)
| ~ member(pair(comb_app(X10,X12),X9),rtrancl(contract))
| member(pair(comb_app(X11,X12),X9),rtrancl(contract)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_3) ).
fof(f192,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f169,f42]) ).
fof(f169,plain,
( ! [X12] : ~ member(pair(X12,z),contract)
| spl0_12 ),
inference(resolution,[],[f160,f34]) ).
fof(f34,axiom,
! [X8,X6] :
( member(X8,comb)
| ~ member(pair(X6,X8),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).
fof(f160,plain,
( ~ member(z,comb)
| spl0_12 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl0_12
<=> member(z,comb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f161,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f148,f128,f158,f102]) ).
fof(f148,plain,
( ~ member(z,comb)
| ~ member(r,comb)
| spl0_7 ),
inference(resolution,[],[f130,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X0,comb)
| ~ member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).
fof(f130,plain,
( ~ member(comb_app(z,r),comb)
| spl0_7 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f115,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f104,f39]) ).
fof(f39,axiom,
member(r,comb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
fof(f104,plain,
( ~ member(r,comb)
| spl0_5 ),
inference(avatar_component_clause,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL088-1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 : Mon Aug 29 16:54:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (6040)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50 % (6055)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (6042)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (6057)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51 % (6036)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51 % (6063)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (6049)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52 % (6041)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (6037)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (6037)Instruction limit reached!
% 0.20/0.52 % (6037)------------------------------
% 0.20/0.52 % (6037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6037)Termination reason: Unknown
% 0.20/0.52 % (6037)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (6037)Memory used [KB]: 5884
% 0.20/0.52 % (6037)Time elapsed: 0.003 s
% 0.20/0.52 % (6037)Instructions burned: 5 (million)
% 0.20/0.52 % (6037)------------------------------
% 0.20/0.52 % (6037)------------------------------
% 0.20/0.52 % (6034)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (6055)Instruction limit reached!
% 0.20/0.53 % (6055)------------------------------
% 0.20/0.53 % (6055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6048)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (6054)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (6048)Instruction limit reached!
% 0.20/0.53 % (6048)------------------------------
% 0.20/0.53 % (6048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6048)Termination reason: Unknown
% 0.20/0.53 % (6048)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (6048)Memory used [KB]: 5756
% 0.20/0.53 % (6048)Time elapsed: 0.002 s
% 0.20/0.53 % (6048)Instructions burned: 3 (million)
% 0.20/0.53 % (6048)------------------------------
% 0.20/0.53 % (6048)------------------------------
% 0.20/0.53 % (6051)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (6058)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (6060)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53 % (6062)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53 % (6044)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (6055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6055)Termination reason: Unknown
% 0.20/0.53 % (6055)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (6055)Memory used [KB]: 1535
% 0.20/0.53 % (6055)Time elapsed: 0.123 s
% 0.20/0.53 % (6055)Instructions burned: 7 (million)
% 0.20/0.53 % (6055)------------------------------
% 0.20/0.53 % (6055)------------------------------
% 0.20/0.54 % (6040)First to succeed.
% 0.20/0.54 % (6052)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (6064)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (6061)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.54 % (6040)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 % (6040)------------------------------
% 0.20/0.54 % (6040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6040)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (6040)Memory used [KB]: 6012
% 0.20/0.54 % (6040)Time elapsed: 0.124 s
% 0.20/0.54 % (6040)Instructions burned: 11 (million)
% 0.20/0.54 % (6040)------------------------------
% 0.20/0.54 % (6040)------------------------------
% 0.20/0.54 % (6029)Success in time 0.191 s
%------------------------------------------------------------------------------