TSTP Solution File: COL033-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL033-1 : 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 : n006.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 19:06:06 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 79 ( 26 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 42 ~; 32 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(avatar_sat_refutation,[],[f8,f12,f16,f28,f44,f55,f72,f76,f80,f95]) ).
fof(f95,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f93]) ).
fof(f93,plain,
( apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l))))
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f43,f75]) ).
fof(f75,plain,
( ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_8
<=> ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f43,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_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_5
<=> ! [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_5])]) ).
fof(f80,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f14,f10,f78]) ).
fof(f78,plain,
( spl0_9
<=> ! [X0] : apply(apply(l,apply(X0,X0)),X0) = apply(m,apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f10,plain,
( spl0_2
<=> ! [X0] : apply(m,X0) = apply(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f14,plain,
( spl0_3
<=> ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f21,plain,
( ! [X0] : apply(apply(l,apply(X0,X0)),X0) = apply(m,apply(X0,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f11,plain,
( ! [X0] : apply(m,X0) = apply(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f15,plain,
( ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f76,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f18,f14,f10,f74]) ).
fof(f18,plain,
( ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0)))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f72,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f61,f53,f6,f70]) ).
fof(f70,plain,
( spl0_7
<=> ! [X0] : apply(X0,apply(m,f(apply(l,X0)))) != apply(f(apply(l,X0)),apply(X0,apply(m,f(apply(l,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
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(f53,plain,
( spl0_6
<=> ! [X0,X1] : apply(apply(l,X1),X0) = apply(X1,apply(m,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f61,plain,
( ! [X0] : apply(X0,apply(m,f(apply(l,X0)))) != apply(f(apply(l,X0)),apply(X0,apply(m,f(apply(l,X0)))))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f7,f54]) ).
fof(f54,plain,
( ! [X0,X1] : apply(apply(l,X1),X0) = apply(X1,apply(m,X0))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f7,plain,
( ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f55,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f19,f14,f10,f53]) ).
fof(f19,plain,
( ! [X0,X1] : apply(apply(l,X1),X0) = apply(X1,apply(m,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f44,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f34,f26,f6,f42]) ).
fof(f26,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(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,f27]) ).
fof(f27,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f28,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f26]) ).
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(f16,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f14]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).
fof(f12,plain,
spl0_2,
inference(avatar_split_clause,[],[f3,f10]) ).
fof(f3,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(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL033-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n006.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 : Sat May 18 13:01:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (20586)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (20589)WARNING: value z3 for option sas not known
% 0.13/0.36 % (20589)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)
% 0.13/0.36 % (20590)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (20591)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)
% 0.13/0.36 % (20593)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)
% 0.13/0.36 % (20588)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (20592)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (20587)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 % (20591)First to succeed.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (20591)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20586"
% 0.13/0.37 % (20591)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (20591)------------------------------
% 0.13/0.37 % (20591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (20591)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (20591)Memory used [KB]: 846
% 0.13/0.37 % (20591)Time elapsed: 0.006 s
% 0.13/0.37 % (20591)Instructions burned: 9 (million)
% 0.13/0.37 % (20586)Success in time 0.021 s
%------------------------------------------------------------------------------