TSTP Solution File: GEO579+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO579+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 : n003.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 05:26:52 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 23 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 108 ( 21 ~; 10 |; 70 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 76 ( 55 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1488,plain,
$false,
inference(subsumption_resolution,[],[f1482,f1399]) ).
fof(f1399,plain,
~ coll(sK8,sK4,sK9),
inference(unit_resulting_resolution,[],[f522,f1014,f408]) ).
fof(f408,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(f1014,plain,
coll(sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f853,f389]) ).
fof(f389,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(f853,plain,
coll(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f787,f788,f408]) ).
fof(f788,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f509,f509,f408]) ).
fof(f509,plain,
coll(sK10,sK7,sK4),
inference(unit_resulting_resolution,[],[f384,f389]) ).
fof(f384,plain,
coll(sK10,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ coll(sK10,sK8,sK9)
& coll(sK10,sK4,sK7)
& perp(sK10,sK5,sK4,sK7)
& coll(sK9,sK5,sK6)
& perp(sK9,sK7,sK5,sK6)
& coll(sK8,sK4,sK6)
& perp(sK8,sK7,sK4,sK6)
& 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])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(sK10,sK8,sK9)
& coll(sK10,sK4,sK7)
& perp(sK10,sK5,sK4,sK7)
& coll(sK9,sK5,sK6)
& perp(sK9,sK7,sK5,sK6)
& coll(sK8,sK4,sK6)
& perp(sK8,sK7,sK4,sK6)
& 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] :
( ~ coll(X6,X4,X5)
& coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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] :
( ~ coll(X6,X4,X5)
& coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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] :
( ( coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(X6,X4,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X17,X19,X15] :
( ( coll(X15,X0,X18)
& perp(X15,X1,X0,X18)
& coll(X19,X1,X2)
& perp(X19,X18,X1,X2)
& coll(X17,X0,X2)
& perp(X17,X18,X0,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> coll(X15,X17,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X17,X19,X15] :
( ( coll(X15,X0,X18)
& perp(X15,X1,X0,X18)
& coll(X19,X1,X2)
& perp(X19,X18,X1,X2)
& coll(X17,X0,X2)
& perp(X17,X18,X0,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> coll(X15,X17,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f787,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f507,f507,f408]) ).
fof(f507,plain,
coll(sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f380,f389]) ).
fof(f380,plain,
coll(sK8,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f522,plain,
~ coll(sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f506,f390]) ).
fof(f390,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(f506,plain,
~ coll(sK10,sK9,sK8),
inference(unit_resulting_resolution,[],[f385,f389]) ).
fof(f385,plain,
~ coll(sK10,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f1482,plain,
coll(sK8,sK4,sK9),
inference(unit_resulting_resolution,[],[f912,f1046,f408]) ).
fof(f1046,plain,
coll(sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f872,f389]) ).
fof(f872,plain,
coll(sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f794,f791,f408]) ).
fof(f791,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f526,f526,f408]) ).
fof(f526,plain,
coll(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f380,f390]) ).
fof(f794,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f382,f382,f408]) ).
fof(f382,plain,
coll(sK9,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f912,plain,
coll(sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f828,f389]) ).
fof(f828,plain,
coll(sK9,sK8,sK6),
inference(unit_resulting_resolution,[],[f793,f794,f408]) ).
fof(f793,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f380,f380,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n003.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 : Fri May 3 21:59:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22430)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (22434)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (22433)WARNING: value z3 for option sas not known
% 0.13/0.37 % (22431)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (22432)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 % (22433)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 % (22436)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 % (22435)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 % (22437)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.39 % (22437)First to succeed.
% 0.13/0.39 % (22437)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22430"
% 0.13/0.39 % (22437)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (22437)------------------------------
% 0.13/0.39 % (22437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (22437)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (22437)Memory used [KB]: 1298
% 0.13/0.39 % (22437)Time elapsed: 0.025 s
% 0.13/0.39 % (22437)Instructions burned: 44 (million)
% 0.13/0.39 % (22430)Success in time 0.044 s
%------------------------------------------------------------------------------