TSTP Solution File: GEO567+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO567+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 : n026.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 05:25:47 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 29 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 156 ( 51 ~; 38 |; 50 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 208 ( 190 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11644,plain,
$false,
inference(subsumption_resolution,[],[f11638,f11026]) ).
fof(f11026,plain,
~ cyclic(sK5,sK6,sK5,sK9),
inference(unit_resulting_resolution,[],[f610,f8463,f439]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f8463,plain,
cyclic(sK5,sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f7308,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f7308,plain,
cyclic(sK6,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f6773,f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f6773,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f6576,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f6576,plain,
cyclic(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f754,f5961,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f5961,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f5910,f452]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f5910,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f656,f376,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f376,plain,
perp(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cyclic(sK5,sK8,sK9,sK6)
& coll(sK9,sK4,sK6)
& perp(sK9,sK7,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK7,sK4,sK5)
& coll(sK7,sK5,sK6)
& perp(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X1,X4,X5,X2)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> ( ~ cyclic(sK5,sK8,sK9,sK6)
& coll(sK9,sK4,sK6)
& perp(sK9,sK7,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK7,sK4,sK5)
& coll(sK7,sK5,sK6)
& perp(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X1,X4,X5,X2)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X1,X4,X5,X2)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X1,X4,X5,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X3,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X1,X9,X8,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X3,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X1,X9,X8,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).
fof(f656,plain,
perp(sK5,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f376,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f754,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f379,f379,f405]) ).
fof(f405,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(f379,plain,
coll(sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f610,plain,
~ cyclic(sK6,sK5,sK9,sK8),
inference(unit_resulting_resolution,[],[f591,f394]) ).
fof(f591,plain,
~ cyclic(sK5,sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f582,f395]) ).
fof(f582,plain,
~ cyclic(sK5,sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f574,f396]) ).
fof(f574,plain,
~ cyclic(sK5,sK8,sK6,sK9),
inference(unit_resulting_resolution,[],[f382,f395]) ).
fof(f382,plain,
~ cyclic(sK5,sK8,sK9,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f11638,plain,
cyclic(sK5,sK6,sK5,sK9),
inference(unit_resulting_resolution,[],[f8805,f394]) ).
fof(f8805,plain,
cyclic(sK6,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f7351,f395]) ).
fof(f7351,plain,
cyclic(sK6,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f6577,f396]) ).
fof(f6577,plain,
cyclic(sK6,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f1462,f5961,f413]) ).
fof(f1462,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f1020,f1020,f405]) ).
fof(f1020,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f826,f386]) ).
fof(f386,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(f826,plain,
coll(sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f756,f746,f405]) ).
fof(f746,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f512,f512,f405]) ).
fof(f512,plain,
coll(sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f377,f387]) ).
fof(f387,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(f377,plain,
coll(sK7,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f756,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f381,f381,f405]) ).
fof(f381,plain,
coll(sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.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 : Fri May 3 21:58:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (25254)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (25257)WARNING: value z3 for option sas not known
% 0.15/0.39 % (25258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (25257)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)
% 0.15/0.39 % (25256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (25255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (25260)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)
% 0.15/0.39 % (25261)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)
% 0.15/0.39 % (25259)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [1]
% 0.22/0.50 TRYING [2]
% 0.22/0.51 % (25261)First to succeed.
% 0.22/0.51 % (25261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25254"
% 0.22/0.51 % (25261)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (25261)------------------------------
% 0.22/0.51 % (25261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51 % (25261)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (25261)Memory used [KB]: 2402
% 0.22/0.51 % (25261)Time elapsed: 0.124 s
% 0.22/0.51 % (25261)Instructions burned: 265 (million)
% 0.22/0.51 % (25254)Success in time 0.144 s
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