TSTP Solution File: GEO620+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 05:35:40 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 23 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 116 ( 21 ~; 10 |; 78 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 82 ( 58 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1497,plain,
$false,
inference(subsumption_resolution,[],[f1491,f1463]) ).
fof(f1463,plain,
coll(sK8,sK4,sK11),
inference(unit_resulting_resolution,[],[f954,f1056,f409]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f1056,plain,
coll(sK11,sK7,sK4),
inference(unit_resulting_resolution,[],[f895,f390]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f895,plain,
coll(sK11,sK4,sK7),
inference(unit_resulting_resolution,[],[f822,f828,f409]) ).
fof(f828,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f524,f524,f409]) ).
fof(f524,plain,
coll(sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f380,f391]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f380,plain,
coll(sK8,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ coll(sK8,sK11,sK10)
& coll(sK11,sK5,sK7)
& perp(sK11,sK6,sK5,sK7)
& coll(sK10,sK4,sK9)
& perp(sK10,sK6,sK4,sK9)
& perp(sK4,sK7,sK4,sK9)
& coll(sK8,sK4,sK7)
& perp(sK8,sK6,sK4,sK7)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,X6)
& coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ coll(sK8,sK11,sK10)
& coll(sK11,sK5,sK7)
& perp(sK11,sK6,sK5,sK7)
& coll(sK10,sK4,sK9)
& perp(sK10,sK6,sK4,sK9)
& perp(sK4,sK7,sK4,sK9)
& coll(sK8,sK4,sK7)
& perp(sK8,sK6,sK4,sK7)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,X6)
& coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,X6)
& coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> coll(X4,X7,X6) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X4,X19,X20] :
( ( coll(X20,X1,X7)
& perp(X20,X2,X1,X7)
& coll(X19,X0,X4)
& perp(X19,X2,X0,X4)
& perp(X0,X7,X0,X4)
& coll(X18,X0,X7)
& perp(X18,X2,X0,X7)
& eqangle(X7,X2,X2,X0,X7,X2,X2,X1)
& eqangle(X7,X1,X1,X2,X7,X1,X1,X0)
& eqangle(X7,X0,X0,X1,X7,X0,X0,X2) )
=> coll(X18,X20,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X4,X19,X20] :
( ( coll(X20,X1,X7)
& perp(X20,X2,X1,X7)
& coll(X19,X0,X4)
& perp(X19,X2,X0,X4)
& perp(X0,X7,X0,X4)
& coll(X18,X0,X7)
& perp(X18,X2,X0,X7)
& eqangle(X7,X2,X2,X0,X7,X2,X2,X1)
& eqangle(X7,X1,X1,X2,X7,X1,X1,X0)
& eqangle(X7,X0,X0,X1,X7,X0,X0,X2) )
=> coll(X18,X20,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(f822,plain,
coll(sK7,sK7,sK11),
inference(unit_resulting_resolution,[],[f385,f385,f409]) ).
fof(f385,plain,
coll(sK11,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f954,plain,
coll(sK11,sK7,sK8),
inference(unit_resulting_resolution,[],[f868,f390]) ).
fof(f868,plain,
coll(sK11,sK8,sK7),
inference(unit_resulting_resolution,[],[f819,f822,f409]) ).
fof(f819,plain,
coll(sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f380,f380,f409]) ).
fof(f1491,plain,
~ coll(sK8,sK4,sK11),
inference(unit_resulting_resolution,[],[f537,f1079,f409]) ).
fof(f1079,plain,
coll(sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f904,f390]) ).
fof(f904,plain,
coll(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f826,f830,f409]) ).
fof(f830,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f509,f509,f409]) ).
fof(f509,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f383,plain,
coll(sK10,sK4,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f826,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f508,f508,f409]) ).
fof(f508,plain,
coll(sK8,sK7,sK4),
inference(unit_resulting_resolution,[],[f380,f390]) ).
fof(f537,plain,
~ coll(sK11,sK10,sK8),
inference(unit_resulting_resolution,[],[f522,f390]) ).
fof(f522,plain,
~ coll(sK11,sK8,sK10),
inference(unit_resulting_resolution,[],[f386,f391]) ).
fof(f386,plain,
~ coll(sK8,sK11,sK10),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.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 21:52:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (11050)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (11053)WARNING: value z3 for option sas not known
% 0.16/0.39 % (11051)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (11052)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (11054)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (11053)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)
% 0.16/0.39 % (11055)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)
% 0.16/0.39 % (11056)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)
% 0.16/0.39 % (11057)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 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 % (11057)First to succeed.
% 0.22/0.41 % (11057)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11050"
% 0.22/0.41 % (11057)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (11057)------------------------------
% 0.22/0.41 % (11057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (11057)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (11057)Memory used [KB]: 1300
% 0.22/0.41 % (11057)Time elapsed: 0.025 s
% 0.22/0.41 % (11057)Instructions burned: 43 (million)
% 0.22/0.41 % (11050)Success in time 0.044 s
%------------------------------------------------------------------------------