TSTP Solution File: NUM190-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM190-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n008.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 17:57:23 EDT 2022
% Result : Unsatisfiable 1.78s 0.61s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f551,plain,
$false,
inference(avatar_sat_refutation,[],[f292,f532,f550]) ).
fof(f550,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f533,f531]) ).
fof(f531,plain,
( ! [X8] : member(omega,complement(X8))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl0_17
<=> ! [X8] : member(omega,complement(X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f533,plain,
( ! [X0] : ~ member(omega,X0)
| ~ spl0_17 ),
inference(resolution,[],[f531,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f532,plain,
( ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f491,f530,f283]) ).
fof(f283,plain,
( spl0_3
<=> inductive(omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f491,plain,
! [X8] :
( member(omega,complement(X8))
| ~ inductive(omega) ),
inference(superposition,[],[f352,f482]) ).
fof(f482,plain,
! [X0] : omega = intersection(X0,complement(X0)),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f478,plain,
! [X0] :
( omega = intersection(X0,complement(X0))
| omega = intersection(X0,complement(X0)) ),
inference(resolution,[],[f436,f184]) ).
fof(f184,plain,
! [X0] :
( member(regular(X0),X0)
| omega = X0 ),
inference(definition_unfolding,[],[f66,f159]) ).
fof(f159,axiom,
null_class = omega,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_omega_is_not_null_1) ).
fof(f66,axiom,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),intersection(X1,X2))
| omega = intersection(X0,complement(X1)) ),
inference(resolution,[],[f381,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f381,plain,
! [X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),X1)
| omega = intersection(X0,complement(X1)) ),
inference(resolution,[],[f353,f24]) ).
fof(f353,plain,
! [X6,X7] :
( member(regular(intersection(X6,X7)),X7)
| omega = intersection(X6,X7) ),
inference(resolution,[],[f22,f184]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f352,plain,
! [X4,X5] :
( ~ inductive(intersection(X5,X4))
| member(omega,X4) ),
inference(resolution,[],[f22,f236]) ).
fof(f236,plain,
! [X0] :
( member(omega,X0)
| ~ inductive(X0) ),
inference(definition_unfolding,[],[f47,f159]) ).
fof(f47,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive1) ).
fof(f292,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f285,f50]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f285,plain,
( ~ inductive(omega)
| spl0_3 ),
inference(avatar_component_clause,[],[f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM190-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % 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 : n008.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 06:11:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (28556)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)
% 0.20/0.56 % (28566)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)
% 0.20/0.56 % (28558)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.56 % (28556)Instruction limit reached!
% 0.20/0.56 % (28556)------------------------------
% 0.20/0.56 % (28556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (28556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (28556)Termination reason: Unknown
% 0.20/0.57 % (28556)Termination phase: Function definition elimination
% 0.20/0.57
% 0.20/0.57 % (28556)Memory used [KB]: 1535
% 0.20/0.57 % (28556)Time elapsed: 0.004 s
% 0.20/0.57 % (28556)Instructions burned: 4 (million)
% 0.20/0.57 % (28556)------------------------------
% 0.20/0.57 % (28556)------------------------------
% 0.20/0.57 % (28548)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.57 % (28550)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)
% 0.20/0.58 % (28558)Instruction limit reached!
% 0.20/0.58 % (28558)------------------------------
% 0.20/0.58 % (28558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28558)Termination reason: Unknown
% 0.20/0.58 % (28558)Termination phase: Finite model building preprocessing
% 0.20/0.58
% 0.20/0.58 % (28558)Memory used [KB]: 1535
% 0.20/0.58 % (28558)Time elapsed: 0.009 s
% 0.20/0.58 % (28558)Instructions burned: 6 (million)
% 0.20/0.58 % (28558)------------------------------
% 0.20/0.58 % (28558)------------------------------
% 0.20/0.58 % (28550)Refutation not found, incomplete strategy% (28550)------------------------------
% 0.20/0.58 % (28550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28550)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (28550)Memory used [KB]: 5884
% 0.20/0.58 % (28550)Time elapsed: 0.004 s
% 0.20/0.58 % (28550)Instructions burned: 1 (million)
% 0.20/0.58 % (28550)------------------------------
% 0.20/0.58 % (28550)------------------------------
% 0.20/0.59 % (28548)First to succeed.
% 0.20/0.60 % (28555)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.60 % (28565)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)
% 1.78/0.60 % (28565)Refutation not found, incomplete strategy% (28565)------------------------------
% 1.78/0.60 % (28565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (28565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60 % (28565)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.60
% 1.78/0.60 % (28565)Memory used [KB]: 6012
% 1.78/0.60 % (28565)Time elapsed: 0.168 s
% 1.78/0.60 % (28565)Instructions burned: 5 (million)
% 1.78/0.60 % (28565)------------------------------
% 1.78/0.60 % (28565)------------------------------
% 1.78/0.61 % (28548)Refutation found. Thanks to Tanya!
% 1.78/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.61 % (28548)------------------------------
% 1.78/0.61 % (28548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (28548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (28548)Termination reason: Refutation
% 1.78/0.61
% 1.78/0.61 % (28548)Memory used [KB]: 6268
% 1.78/0.61 % (28548)Time elapsed: 0.156 s
% 1.78/0.61 % (28548)Instructions burned: 19 (million)
% 1.78/0.61 % (28548)------------------------------
% 1.78/0.61 % (28548)------------------------------
% 1.78/0.61 % (28541)Success in time 0.254 s
%------------------------------------------------------------------------------