TSTP Solution File: PUZ092^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ092^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 08:50:33 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 321 ( 301 equ)
% Maximal formula atoms : 64 ( 7 avg)
% Number of connectives : 460 ( 181 ~; 166 |; 93 &)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 60 ( 24 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f48,f49,f55,f56,f59]) ).
fof(f59,plain,
( ~ spl12_3
| spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f30,f45,f32,f41]) ).
fof(f41,plain,
( spl12_3
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f32,plain,
( spl12_1
<=> sK9 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f45,plain,
( spl12_4
<=> sK7 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f30,plain,
( sK7 = sK9
| sK9 = sK11
| sK3 != sK5 ),
inference(trivial_inequality_removal,[],[f19]) ).
fof(f19,plain,
( sK7 = sK9
| sK9 = sK11
| sK3 != sK5
| sK5 != sK5
| sK3 != sK3 ),
inference(definition_unfolding,[],[f12,f16,f17,f14,f15,f15,f14]) ).
fof(f15,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( sK10 = sK11
& sK8 = sK9
& sK6 = sK7
& sK4 = sK5
& sK2 = sK3
& sK0 = sK1
& ( sK6 = sK9
| sK8 = sK11
| sK2 != sK4
| sK4 != sK5
| sK2 != sK3 )
& ( sK0 != sK3
| sK4 != sK7
| sK10 != sK11
| sK8 != sK9 )
& ( sK8 = sK11
| sK2 = sK5
| sK6 != sK7
| sK0 != sK1 )
& ( sK8 != sK11
| sK0 = sK3
| sK4 != sK6
| sK6 != sK7
| sK4 != sK5 )
& ( sK6 != sK9
| sK2 != sK5
| sK10 != sK11
| sK0 != sK1 )
& ( sK4 = sK7
| sK8 != sK11
| sK2 != sK3
| sK0 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f4,f5]) ).
fof(f5,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X10 = X11
& X8 = X9
& X6 = X7
& X4 = X5
& X2 = X3
& X0 = X1
& ( X6 = X9
| X8 = X11
| X2 != X4
| X4 != X5
| X2 != X3 )
& ( X0 != X3
| X4 != X7
| X10 != X11
| X8 != X9 )
& ( X8 = X11
| X2 = X5
| X6 != X7
| X0 != X1 )
& ( X8 != X11
| X0 = X3
| X4 != X6
| X6 != X7
| X4 != X5 )
& ( X6 != X9
| X2 != X5
| X10 != X11
| X0 != X1 )
& ( X4 = X7
| X8 != X11
| X2 != X3
| X0 != X1 ) )
=> ( sK10 = sK11
& sK8 = sK9
& sK6 = sK7
& sK4 = sK5
& sK2 = sK3
& sK0 = sK1
& ( sK6 = sK9
| sK8 = sK11
| sK2 != sK4
| sK4 != sK5
| sK2 != sK3 )
& ( sK0 != sK3
| sK4 != sK7
| sK10 != sK11
| sK8 != sK9 )
& ( sK8 = sK11
| sK2 = sK5
| sK6 != sK7
| sK0 != sK1 )
& ( sK8 != sK11
| sK0 = sK3
| sK4 != sK6
| sK6 != sK7
| sK4 != sK5 )
& ( sK6 != sK9
| sK2 != sK5
| sK10 != sK11
| sK0 != sK1 )
& ( sK4 = sK7
| sK8 != sK11
| sK2 != sK3
| sK0 != sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X10 = X11
& X8 = X9
& X6 = X7
& X4 = X5
& X2 = X3
& X0 = X1
& ( X6 = X9
| X8 = X11
| X2 != X4
| X4 != X5
| X2 != X3 )
& ( X0 != X3
| X4 != X7
| X10 != X11
| X8 != X9 )
& ( X8 = X11
| X2 = X5
| X6 != X7
| X0 != X1 )
& ( X8 != X11
| X0 = X3
| X4 != X6
| X6 != X7
| X4 != X5 )
& ( X6 != X9
| X2 != X5
| X10 != X11
| X0 != X1 )
& ( X4 = X7
| X8 != X11
| X2 != X3
| X0 != X1 ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X10 = X11
& X8 = X9
& X6 = X7
& X4 = X5
& X2 = X3
& X0 = X1
& ( X6 = X9
| X8 = X11
| X2 != X4
| X4 != X5
| X2 != X3 )
& ( X0 != X3
| X4 != X7
| X10 != X11
| X8 != X9 )
& ( X8 = X11
| X2 = X5
| X6 != X7
| X0 != X1 )
& ( X8 != X11
| X0 = X3
| X4 != X6
| X6 != X7
| X4 != X5 )
& ( X6 != X9
| X2 != X5
| X10 != X11
| X0 != X1 )
& ( X4 = X7
| X8 != X11
| X2 != X3
| X0 != X1 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( ( ( X8 != X11
& X2 = X4
& X4 = X5
& X2 = X3 )
=> X6 = X9 )
& ( ( X4 = X7
& X10 = X11
& X8 = X9 )
=> X0 != X3 )
& ( ( X2 != X5
& X6 = X7
& X0 = X1 )
=> X8 = X11 )
& ( ( X0 != X3
& X4 = X6
& X6 = X7
& X4 = X5 )
=> X8 != X11 )
& ( ( X2 = X5
& X10 = X11
& X0 = X1 )
=> X6 != X9 )
& ( ( X8 = X11
& X2 = X3
& X0 = X1 )
=> X4 = X7 ) )
=> ( X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3
| X0 != X1 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( ( ( X8 != X11
& X2 = X4
& X4 = X5
& X2 = X3 )
=> X6 = X9 )
& ( ( X4 = X7
& X10 = X11
& X8 = X9 )
=> X0 != X3 )
& ( ( X2 != X5
& X6 = X7
& X0 = X1 )
=> X8 = X11 )
& ( ( X0 != X3
& X4 = X6
& X6 = X7
& X4 = X5 )
=> X8 != X11 )
& ( ( X2 = X5
& X10 = X11
& X0 = X1 )
=> X6 != X9 )
& ( ( X8 = X11
& X2 = X3
& X0 = X1 )
=> X4 = X7 ) )
=> ( X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3
| X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIXFRIENDS_EASIER) ).
fof(f14,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f6]) ).
fof(f17,plain,
sK8 = sK9,
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
sK6 = sK7,
inference(cnf_transformation,[],[f6]) ).
fof(f12,plain,
( sK6 = sK9
| sK8 = sK11
| sK2 != sK4
| sK4 != sK5
| sK2 != sK3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f56,plain,
( ~ spl12_2
| spl12_5
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f27,f32,f52,f36]) ).
fof(f36,plain,
( spl12_2
<=> sK5 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f52,plain,
( spl12_5
<=> sK1 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f27,plain,
( sK9 != sK11
| sK1 = sK3
| sK5 != sK7 ),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f22,plain,
( sK9 != sK11
| sK1 = sK3
| sK5 != sK7
| sK7 != sK7
| sK5 != sK5 ),
inference(definition_unfolding,[],[f9,f17,f13,f15,f16,f16,f15]) ).
fof(f13,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
( sK8 != sK11
| sK0 = sK3
| sK4 != sK6
| sK6 != sK7
| sK4 != sK5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f55,plain,
( ~ spl12_2
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f29,f52,f36]) ).
fof(f29,plain,
( sK1 != sK3
| sK5 != sK7 ),
inference(trivial_inequality_removal,[],[f20]) ).
fof(f20,plain,
( sK1 != sK3
| sK5 != sK7
| sK11 != sK11
| sK9 != sK9 ),
inference(definition_unfolding,[],[f11,f13,f15,f18,f17]) ).
fof(f18,plain,
sK10 = sK11,
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
( sK0 != sK3
| sK4 != sK7
| sK10 != sK11
| sK8 != sK9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f28,f32,f41]) ).
fof(f28,plain,
( sK9 = sK11
| sK3 = sK5 ),
inference(trivial_inequality_removal,[],[f21]) ).
fof(f21,plain,
( sK9 = sK11
| sK3 = sK5
| sK7 != sK7
| sK1 != sK1 ),
inference(definition_unfolding,[],[f10,f17,f14,f16,f13]) ).
fof(f10,plain,
( sK8 = sK11
| sK2 = sK5
| sK6 != sK7
| sK0 != sK1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f48,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f26,f45,f41]) ).
fof(f26,plain,
( sK7 != sK9
| sK3 != sK5 ),
inference(trivial_inequality_removal,[],[f23]) ).
fof(f23,plain,
( sK7 != sK9
| sK3 != sK5
| sK11 != sK11
| sK1 != sK1 ),
inference(definition_unfolding,[],[f8,f16,f14,f18,f13]) ).
fof(f8,plain,
( sK6 != sK9
| sK2 != sK5
| sK10 != sK11
| sK0 != sK1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f25,f36,f32]) ).
fof(f25,plain,
( sK5 = sK7
| sK9 != sK11 ),
inference(trivial_inequality_removal,[],[f24]) ).
fof(f24,plain,
( sK5 = sK7
| sK9 != sK11
| sK3 != sK3
| sK1 != sK1 ),
inference(definition_unfolding,[],[f7,f15,f17,f14,f13]) ).
fof(f7,plain,
( sK4 = sK7
| sK8 != sK11
| sK2 != sK3
| sK0 != sK1 ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ092^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 18:01:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (1424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (1427)WARNING: value z3 for option sas not known
% 0.16/0.38 % (1425)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (1426)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (1428)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (1427)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)
% 0.16/0.38 % (1429)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)
% 0.16/0.38 % (1430)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)
% 0.16/0.38 % (1431)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)
% 0.16/0.38 Detected minimum model sizes of [1]
% 0.16/0.38 Detected maximum model sizes of [12]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 Detected minimum model sizes of [1]
% 0.16/0.38 Detected maximum model sizes of [6]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 % (1429)First to succeed.
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 % (1431)Also succeeded, but the first one will report.
% 0.16/0.39 % (1427)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [4]
% 0.16/0.39 % (1429)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1424"
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [5]
% 0.16/0.39 % (1429)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (1429)------------------------------
% 0.16/0.39 % (1429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (1429)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (1429)Memory used [KB]: 759
% 0.16/0.39 % (1429)Time elapsed: 0.005 s
% 0.16/0.39 % (1429)Instructions burned: 5 (million)
% 0.16/0.39 % (1424)Success in time 0.019 s
%------------------------------------------------------------------------------