TSTP Solution File: COL039-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 04:45:37 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 24
% Syntax : Number of formulae : 72 ( 10 unt; 0 def)
% Number of atoms : 162 ( 49 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 179 ( 89 ~; 70 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f714,plain,
$false,
inference(avatar_sat_refutation,[],[f8,f12,f16,f26,f38,f43,f52,f56,f60,f64,f100,f104,f192,f196,f200,f388,f511,f613,f640,f667,f685]) ).
fof(f685,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl0_20 ),
inference(equality_resolution,[],[f666]) ).
fof(f666,plain,
( ! [X0] : apply(apply(X0,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0)))) != apply(apply(m,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl0_20
<=> ! [X0] : apply(apply(X0,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0)))) != apply(apply(m,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f667,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f287,f194,f36,f665]) ).
fof(f36,plain,
( spl0_5
<=> ! [X0] : apply(X0,f(X0)) != apply(apply(o,X0),f(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f194,plain,
( spl0_14
<=> ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f287,plain,
( ! [X0] : apply(apply(X0,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0)))) != apply(apply(m,apply(apply(b,o),X0)),f(apply(X0,apply(apply(b,o),X0))))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f37,f195]) ).
fof(f195,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f37,plain,
( ! [X0] : apply(X0,f(X0)) != apply(apply(o,X0),f(X0))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f640,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f44,f41,f10,f638]) ).
fof(f638,plain,
( spl0_19
<=> ! [X0] : apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))) != apply(f(apply(m,apply(b,X0))),apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,plain,
( spl0_2
<=> ! [X0] : apply(m,X0) = apply(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f41,plain,
( spl0_6
<=> ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f44,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))) != apply(f(apply(m,apply(b,X0))),apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f42,f11]) ).
fof(f11,plain,
( ! [X0] : apply(m,X0) = apply(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f42,plain,
( ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1)))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f613,plain,
( spl0_18
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f371,f198,f41,f611]) ).
fof(f611,plain,
( spl0_18
<=> ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(apply(o,apply(apply(b,X0),X1)),f(apply(apply(b,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f198,plain,
( spl0_15
<=> ! [X2,X0,X1] : apply(apply(o,apply(apply(b,X0),X1)),X2) = apply(X2,apply(X0,apply(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f371,plain,
( ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(apply(o,apply(apply(b,X0),X1)),f(apply(apply(b,X0),X1)))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f42,f199]) ).
fof(f199,plain,
( ! [X2,X0,X1] : apply(apply(o,apply(apply(b,X0),X1)),X2) = apply(X2,apply(X0,apply(X1,X2)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f511,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30,f24,f14,f509]) ).
fof(f509,plain,
( spl0_17
<=> ! [X2,X0,X1] : apply(apply(o,X2),apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(X2,apply(apply(b,X0),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f14,plain,
( spl0_3
<=> ! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f24,plain,
( spl0_4
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f30,plain,
( ! [X2,X0,X1] : apply(apply(o,X2),apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(X2,apply(apply(b,X0),X1))))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f15]) ).
fof(f15,plain,
( ! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f25,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f388,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f24,f14,f386]) ).
fof(f386,plain,
( spl0_16
<=> ! [X2,X0,X1] : apply(X0,apply(apply(X1,apply(b,X0)),X2)) = apply(apply(apply(o,X1),apply(b,X0)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f28,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,apply(b,X0)),X2)) = apply(apply(apply(o,X1),apply(b,X0)),X2)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f15]) ).
fof(f200,plain,
( spl0_15
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f32,f24,f14,f198]) ).
fof(f32,plain,
( ! [X2,X0,X1] : apply(apply(o,apply(apply(b,X0),X1)),X2) = apply(X2,apply(X0,apply(X1,X2)))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f15,f25]) ).
fof(f196,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f24,f10,f194]) ).
fof(f29,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f25,f11]) ).
fof(f192,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f14,f190]) ).
fof(f190,plain,
( spl0_13
<=> ! [X0,X1] : apply(apply(o,X0),apply(X1,X0)) = apply(apply(X1,X0),apply(apply(o,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f21,plain,
( ! [X0,X1] : apply(apply(o,X0),apply(X1,X0)) = apply(apply(X1,X0),apply(apply(o,X1),X0))
| ~ spl0_3 ),
inference(superposition,[],[f15,f15]) ).
fof(f104,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f24,f10,f102]) ).
fof(f102,plain,
( spl0_12
<=> ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f27,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f25,f11]) ).
fof(f100,plain,
( spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f20,f14,f98]) ).
fof(f98,plain,
( spl0_11
<=> ! [X0,X1] : apply(apply(o,apply(o,X0)),X1) = apply(X1,apply(X1,apply(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f20,plain,
( ! [X0,X1] : apply(apply(o,apply(o,X0)),X1) = apply(X1,apply(X1,apply(X0,X1)))
| ~ spl0_3 ),
inference(superposition,[],[f15,f15]) ).
fof(f64,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f19,f14,f10,f62]) ).
fof(f62,plain,
( spl0_10
<=> ! [X0] : apply(X0,apply(m,X0)) = apply(apply(o,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f19,plain,
( ! [X0] : apply(X0,apply(m,X0)) = apply(apply(o,X0),X0)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f60,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f18,f14,f10,f58]) ).
fof(f58,plain,
( spl0_9
<=> ! [X0] : apply(apply(o,m),X0) = apply(X0,apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f18,plain,
( ! [X0] : apply(apply(o,m),X0) = apply(X0,apply(X0,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f56,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f17,f14,f10,f54]) ).
fof(f54,plain,
( spl0_8
<=> ! [X0] : apply(X0,apply(o,X0)) = apply(apply(m,o),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f17,plain,
( ! [X0] : apply(X0,apply(o,X0)) = apply(apply(m,o),X0)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f52,plain,
( ~ spl0_7
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f39,f36,f10,f49]) ).
fof(f49,plain,
( spl0_7
<=> apply(o,f(o)) = apply(apply(m,o),f(o)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f39,plain,
( apply(o,f(o)) != apply(apply(m,o),f(o))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f37,f11]) ).
fof(f43,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f34,f24,f6,f41]) ).
fof(f6,plain,
( spl0_1
<=> ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f34,plain,
( ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1)))))
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f7,f25]) ).
fof(f7,plain,
( ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f38,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f14,f6,f36]) ).
fof(f22,plain,
( ! [X0] : apply(X0,f(X0)) != apply(apply(o,X0),f(X0))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f7,f15]) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f16,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f14]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o_definition) ).
fof(f12,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f10]) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
fof(f8,plain,
spl0_1,
inference(avatar_split_clause,[],[f4,f6]) ).
fof(f4,axiom,
! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n010.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
% 0.13/0.35 % DateTime : Fri May 3 18:31:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (11659)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (11664)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.37 % (11663)WARNING: value z3 for option sas not known
% 0.13/0.37 % (11662)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (11661)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (11665)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (11663)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (11667)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (11666)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.39 TRYING [5]
% 0.20/0.40 TRYING [5]
% 0.20/0.42 % (11665)First to succeed.
% 0.20/0.42 % (11665)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11659"
% 0.20/0.42 % (11665)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (11665)------------------------------
% 0.20/0.42 % (11665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (11665)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (11665)Memory used [KB]: 1579
% 0.20/0.42 % (11665)Time elapsed: 0.054 s
% 0.20/0.42 % (11665)Instructions burned: 90 (million)
% 0.20/0.42 % (11659)Success in time 0.071 s
%------------------------------------------------------------------------------