%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:42 AM UTC 2026
% Result : Theorem 0.32s 0.47s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 35 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 121 ( 55 ~; 22 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 88 ( 70 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) )
=> coll(X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012007) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) )
=> coll(X5,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ coll(sK25,sK26,sK27)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK28)
& perp(sK25,sK24,sK21,sK22)
& coll(sK25,sK21,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK26,sK20,sK22)
& perp(sK27,sK24,sK20,sK21)
& coll(sK27,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f384,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ coll(sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ coll(X0,X2,X1) ),
inference(consistent_polarity_flipping,[],[f271]) ).
fof(f394,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ coll(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f272]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( coll(X0,X1,X3)
| coll(X0,X1,X2)
| ~ coll(X2,X3,X0) ),
inference(consistent_polarity_flipping,[],[f273]) ).
fof(f494,plain,
coll(sK25,sK26,sK27),
inference(consistent_polarity_flipping,[],[f392]) ).
fof(f496,plain,
~ coll(sK25,sK21,sK22),
inference(consistent_polarity_flipping,[],[f388]) ).
fof(f498,plain,
~ coll(sK26,sK20,sK22),
inference(consistent_polarity_flipping,[],[f386]) ).
fof(f500,plain,
~ coll(sK27,sK20,sK21),
inference(consistent_polarity_flipping,[],[f384]) ).
fof(f501,plain,
~ coll(sK25,sK22,sK21),
inference(resolution,[],[f393,f496]) ).
fof(f503,plain,
~ coll(sK27,sK21,sK20),
inference(resolution,[],[f393,f500]) ).
fof(f508,plain,
~ coll(sK20,sK26,sK22),
inference(resolution,[],[f394,f498]) ).
fof(f512,plain,
~ coll(sK21,sK27,sK20),
inference(resolution,[],[f394,f503]) ).
fof(f516,plain,
~ coll(sK20,sK22,sK26),
inference(resolution,[],[f508,f393]) ).
fof(f603,plain,
! [X0] :
( coll(sK21,sK27,X0)
| ~ coll(X0,sK20,sK21) ),
inference(resolution,[],[f395,f512]) ).
fof(f609,plain,
! [X0] :
( coll(sK25,sK22,X0)
| ~ coll(X0,sK21,sK25) ),
inference(resolution,[],[f395,f501]) ).
fof(f610,plain,
! [X0] :
( coll(sK27,sK20,X0)
| ~ coll(X0,sK21,sK27) ),
inference(resolution,[],[f395,f500]) ).
fof(f613,plain,
! [X0] :
( coll(sK25,sK21,X0)
| ~ coll(X0,sK22,sK25) ),
inference(resolution,[],[f395,f496]) ).
fof(f614,plain,
! [X0] :
( coll(sK26,sK20,X0)
| ~ coll(X0,sK22,sK26) ),
inference(resolution,[],[f395,f498]) ).
fof(f617,plain,
! [X0] :
( coll(sK20,sK22,X0)
| ~ coll(X0,sK26,sK20) ),
inference(resolution,[],[f395,f516]) ).
fof(f621,plain,
~ coll(sK21,sK21,sK27),
inference(resolution,[],[f610,f500]) ).
fof(f622,plain,
! [X0] :
( coll(sK21,sK21,X0)
| ~ coll(X0,sK27,sK21) ),
inference(resolution,[],[f621,f395]) ).
fof(f698,plain,
~ coll(sK21,sK21,sK25),
inference(resolution,[],[f609,f501]) ).
fof(f839,plain,
~ coll(sK25,sK27,sK21),
inference(resolution,[],[f622,f698]) ).
fof(f842,plain,
~ coll(sK27,sK25,sK21),
inference(resolution,[],[f839,f394]) ).
fof(f843,plain,
~ coll(sK25,sK21,sK27),
inference(resolution,[],[f839,f393]) ).
fof(f846,plain,
~ coll(sK27,sK21,sK25),
inference(resolution,[],[f842,f393]) ).
fof(f848,plain,
! [X0] :
( coll(sK25,sK21,X0)
| ~ coll(X0,sK27,sK25) ),
inference(resolution,[],[f843,f395]) ).
fof(f853,plain,
~ coll(sK21,sK27,sK25),
inference(resolution,[],[f846,f394]) ).
fof(f868,plain,
~ coll(sK25,sK20,sK21),
inference(resolution,[],[f853,f603]) ).
fof(f893,plain,
~ coll(sK25,sK21,sK20),
inference(resolution,[],[f868,f393]) ).
fof(f919,plain,
~ coll(sK20,sK22,sK25),
inference(resolution,[],[f893,f613]) ).
fof(f943,plain,
~ coll(sK25,sK26,sK20),
inference(resolution,[],[f919,f617]) ).
fof(f965,plain,
~ coll(sK26,sK25,sK20),
inference(resolution,[],[f943,f394]) ).
fof(f992,plain,
~ coll(sK26,sK20,sK25),
inference(resolution,[],[f965,f393]) ).
fof(f1025,plain,
~ coll(sK25,sK22,sK26),
inference(resolution,[],[f992,f614]) ).
fof(f1056,plain,
~ coll(sK26,sK21,sK25),
inference(resolution,[],[f1025,f609]) ).
fof(f1086,plain,
~ coll(sK21,sK26,sK25),
inference(resolution,[],[f1056,f394]) ).
fof(f1118,plain,
~ coll(sK21,sK25,sK26),
inference(resolution,[],[f1086,f393]) ).
fof(f1151,plain,
~ coll(sK25,sK21,sK26),
inference(resolution,[],[f1118,f394]) ).
fof(f1769,plain,
~ coll(sK26,sK27,sK25),
inference(resolution,[],[f848,f1151]) ).
fof(f1774,plain,
~ coll(sK26,sK25,sK27),
inference(resolution,[],[f1769,f393]) ).
fof(f1781,plain,
~ coll(sK25,sK26,sK27),
inference(resolution,[],[f1774,f394]) ).
fof(f1788,plain,
$false,
inference(resolution,[],[f1781,f494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:29:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.47 % (2093953)Will run a generic schedule for satisfiability detection.
% 0.32/0.47 % (2093959)% WARNING: option uhcvi not known.
% 0.32/0.47 % (2093959)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3767311308:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.32/0.47 % (2093961)dis+10_1_sil=32000:sp=arity:random_seed=3377701277:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.32/0.47 % (2093962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2512900002:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.32/0.47 % (2093963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3613509638:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.32/0.47 % (2093964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4012867706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.32/0.47 % (2093960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1485106262:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.32/0.47 % (2093958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4000071519_2999 on theBenchmark for (2999ds/0Mi)
% 0.32/0.47 % (2093964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2093953-2093964"...
% 0.32/0.47 % (2093964)...printing done.
% 0.32/0.47 % (2093964)Refutation found. Thanks to Tanya!
% 0.32/0.47 % SZS status Theorem for theBenchmark
% 0.32/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.47 % (2093964)------------------------------
% 0.32/0.47 % (2093964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.47 % (2093964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.47 % (2093964)CaDiCaL version: 2.1.3
% 0.32/0.47 % (2093964)Termination reason: Refutation
% 0.32/0.47 % (2093964)Time elapsed: 0.025 s
% 0.32/0.47 % (2093964)Peak memory usage: 13 MB
% 0.32/0.47 % (2093964)Instructions burned: 42 (million)
% 0.32/0.47 % (2093953)Success in time 0.061 s
% 0.32/0.47 % Vampire exiting
%------------------------------------------------------------------------------