TSTP Solution File: COL021-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL021-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 19:06:04 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 91 ( 29 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 94 ( 46 ~; 37 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(avatar_sat_refutation,[],[f8,f12,f17,f21,f35,f39,f50,f54,f58,f139,f182,f191]) ).
fof(f191,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| ~ spl0_11 ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
( ! [X0] : apply(X0,apply(apply(b,combinator),X0)) != apply(m,apply(apply(b,combinator),X0))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl0_11
<=> ! [X0] : apply(X0,apply(apply(b,combinator),X0)) != apply(m,apply(apply(b,combinator),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f182,plain,
( spl0_11
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f161,f137,f6,f180]) ).
fof(f6,plain,
( spl0_1
<=> ! [X1] : apply(combinator,X1) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f137,plain,
( spl0_10
<=> ! [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_10])]) ).
fof(f161,plain,
( ! [X0] : apply(X0,apply(apply(b,combinator),X0)) != apply(m,apply(apply(b,combinator),X0))
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f7,f138]) ).
fof(f138,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f7,plain,
( ! [X1] : apply(combinator,X1) != X1
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f139,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f15,f10,f137]) ).
fof(f10,plain,
( spl0_2
<=> ! [X0] : apply(m,X0) = apply(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f15,plain,
( spl0_3
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f23,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f16,f11]) ).
fof(f11,plain,
( ! [X0] : apply(m,X0) = apply(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f16,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f58,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f19,f10,f56]) ).
fof(f56,plain,
( spl0_9
<=> ! [X0,X1] : apply(m,apply(apply(v,X0),X1)) = apply(apply(apply(X0,X0),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f19,plain,
( spl0_4
<=> ! [X2,X0,X1] : apply(apply(apply(v,X0),X1),X2) = apply(apply(X2,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f29,plain,
( ! [X0,X1] : apply(m,apply(apply(v,X0),X1)) = apply(apply(apply(X0,X0),X1),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f27,f20]) ).
fof(f20,plain,
( ! [X2,X0,X1] : apply(apply(apply(v,X0),X1),X2) = apply(apply(X2,X0),X1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f27,plain,
( ! [X0,X1] : apply(m,apply(apply(v,X0),X1)) = apply(apply(apply(apply(v,X0),X1),X0),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f20,f11]) ).
fof(f54,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f19,f10,f52]) ).
fof(f52,plain,
( spl0_8
<=> ! [X0,X1] : apply(apply(X1,X0),apply(v,X0)) = apply(apply(m,apply(v,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f26,plain,
( ! [X0,X1] : apply(apply(X1,X0),apply(v,X0)) = apply(apply(m,apply(v,X0)),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f20,f11]) ).
fof(f50,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f15,f10,f48]) ).
fof(f48,plain,
( spl0_7
<=> ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f22,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f16,f11]) ).
fof(f39,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f25,f19,f10,f37]) ).
fof(f37,plain,
( spl0_6
<=> ! [X0,X1] : apply(apply(X1,v),X0) = apply(apply(apply(m,v),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f25,plain,
( ! [X0,X1] : apply(apply(X1,v),X0) = apply(apply(apply(m,v),X0),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f20,f11]) ).
fof(f35,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f10,f6,f32]) ).
fof(f32,plain,
( spl0_5
<=> combinator = apply(m,combinator) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f13,plain,
( combinator != apply(m,combinator)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f7,f11]) ).
fof(f21,plain,
spl0_4,
inference(avatar_split_clause,[],[f3,f19]) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(v,X0),X1),X2) = apply(apply(X2,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_definition) ).
fof(f17,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f15]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_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/sandbox/benchmark/theBenchmark.p',m_definition) ).
fof(f8,plain,
spl0_1,
inference(avatar_split_clause,[],[f4,f6]) ).
fof(f4,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL021-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 13:03:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16426)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (16429)WARNING: value z3 for option sas not known
% 0.22/0.39 % (16428)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (16427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (16430)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (16433)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)
% 0.22/0.39 % (16432)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)
% 0.22/0.39 % (16429)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)
% 0.22/0.39 % (16431)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.41 TRYING [4]
% 0.22/0.41 TRYING [4]
% 0.22/0.41 % (16431)First to succeed.
% 0.22/0.41 % (16431)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16426"
% 0.22/0.41 % (16431)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (16431)------------------------------
% 0.22/0.41 % (16431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (16431)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (16431)Memory used [KB]: 952
% 0.22/0.41 % (16431)Time elapsed: 0.021 s
% 0.22/0.41 % (16431)Instructions burned: 18 (million)
% 0.22/0.41 % (16426)Success in time 0.049 s
%------------------------------------------------------------------------------