%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:54:45 AM UTC 2026
% Result : Theorem 0.80s 0.59s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 36 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 101 ( 26 ~; 21 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 77 ( 61 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) )
=> coll(X7,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) )
=> coll(X7,X6,X5) ),
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] :
( ~ coll(X7,X6,X5)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X7,X6,X5)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ coll(sK27,sK26,sK25)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& perp(sK21,sK22,sK20,sK24)
& perp(sK20,sK22,sK21,sK24)
& perp(sK25,sK23,sK21,sK22)
& coll(sK25,sK21,sK22)
& perp(sK26,sK23,sK20,sK24)
& coll(sK26,sK20,sK24)
& perp(sK27,sK23,sK20,sK22)
& coll(sK27,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f384,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ coll(sK27,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
coll(sK26,sK24,sK20),
inference(resolution,[],[f271,f386]) ).
fof(f403,plain,
coll(sK23,sK21,sK20),
inference(resolution,[],[f271,f392]) ).
fof(f404,plain,
coll(sK25,sK22,sK21),
inference(resolution,[],[f271,f388]) ).
fof(f420,plain,
coll(sK20,sK27,sK22),
inference(resolution,[],[f272,f384]) ).
fof(f424,plain,
coll(sK21,sK23,sK20),
inference(resolution,[],[f272,f403]) ).
fof(f429,plain,
coll(sK20,sK22,sK27),
inference(resolution,[],[f420,f271]) ).
fof(f528,plain,
! [X0] :
( ~ coll(sK23,sK20,X0)
| coll(X0,sK21,sK23) ),
inference(resolution,[],[f273,f392]) ).
fof(f534,plain,
! [X0] :
( ~ coll(sK23,sK21,X0)
| coll(X0,sK20,sK23) ),
inference(resolution,[],[f273,f403]) ).
fof(f535,plain,
! [X0] :
( ~ coll(sK25,sK21,X0)
| coll(X0,sK22,sK25) ),
inference(resolution,[],[f273,f388]) ).
fof(f536,plain,
! [X0] :
( ~ coll(sK20,sK22,X0)
| coll(X0,sK27,sK20) ),
inference(resolution,[],[f273,f429]) ).
fof(f538,plain,
! [X0] :
( ~ coll(sK25,sK22,X0)
| coll(X0,sK21,sK25) ),
inference(resolution,[],[f273,f404]) ).
fof(f541,plain,
! [X0] :
( ~ coll(sK21,sK23,X0)
| coll(X0,sK20,sK21) ),
inference(resolution,[],[f273,f424]) ).
fof(f542,plain,
! [X0] :
( ~ coll(sK26,sK24,X0)
| coll(X0,sK20,sK26) ),
inference(resolution,[],[f273,f402]) ).
fof(f556,plain,
coll(sK21,sK21,sK23),
inference(resolution,[],[f528,f392]) ).
fof(f603,plain,
! [X0] :
( ~ coll(sK21,sK21,X0)
| coll(X0,sK23,sK21) ),
inference(resolution,[],[f556,f273]) ).
fof(f820,plain,
coll(sK20,sK20,sK23),
inference(resolution,[],[f534,f403]) ).
fof(f894,plain,
coll(sK20,sK23,sK20),
inference(resolution,[],[f820,f271]) ).
fof(f895,plain,
! [X0] :
( ~ coll(sK20,sK23,X0)
| coll(X0,sK20,sK20) ),
inference(resolution,[],[f894,f273]) ).
fof(f908,plain,
coll(sK21,sK21,sK25),
inference(resolution,[],[f538,f404]) ).
fof(f1226,plain,
coll(sK20,sK20,sK26),
inference(resolution,[],[f542,f402]) ).
fof(f1317,plain,
! [X0] :
( ~ coll(sK20,sK20,X0)
| coll(X0,sK26,sK20) ),
inference(resolution,[],[f1226,f273]) ).
fof(f2065,plain,
coll(sK25,sK23,sK21),
inference(resolution,[],[f603,f908]) ).
fof(f2087,plain,
coll(sK23,sK25,sK21),
inference(resolution,[],[f2065,f272]) ).
fof(f2091,plain,
coll(sK23,sK21,sK25),
inference(resolution,[],[f2087,f271]) ).
fof(f2096,plain,
coll(sK25,sK20,sK23),
inference(resolution,[],[f2091,f534]) ).
fof(f2098,plain,
coll(sK21,sK23,sK25),
inference(resolution,[],[f2091,f272]) ).
fof(f2111,plain,
coll(sK20,sK25,sK23),
inference(resolution,[],[f2096,f272]) ).
fof(f2113,plain,
coll(sK25,sK20,sK21),
inference(resolution,[],[f2098,f541]) ).
fof(f2131,plain,
coll(sK20,sK23,sK25),
inference(resolution,[],[f2111,f271]) ).
fof(f2137,plain,
coll(sK25,sK21,sK20),
inference(resolution,[],[f2113,f271]) ).
fof(f2163,plain,
coll(sK20,sK22,sK25),
inference(resolution,[],[f2137,f535]) ).
fof(f2186,plain,
coll(sK25,sK27,sK20),
inference(resolution,[],[f2163,f536]) ).
fof(f2209,plain,
coll(sK25,sK20,sK27),
inference(resolution,[],[f2186,f271]) ).
fof(f2236,plain,
! [X0] :
( ~ coll(sK25,sK20,X0)
| coll(X0,sK27,sK25) ),
inference(resolution,[],[f2209,f273]) ).
fof(f3358,plain,
coll(sK25,sK20,sK20),
inference(resolution,[],[f895,f2131]) ).
fof(f3401,plain,
coll(sK20,sK25,sK20),
inference(resolution,[],[f3358,f272]) ).
fof(f3405,plain,
coll(sK20,sK20,sK25),
inference(resolution,[],[f3401,f271]) ).
fof(f3406,plain,
coll(sK25,sK26,sK20),
inference(resolution,[],[f3405,f1317]) ).
fof(f3414,plain,
coll(sK25,sK20,sK26),
inference(resolution,[],[f3406,f271]) ).
fof(f6315,plain,
coll(sK26,sK27,sK25),
inference(resolution,[],[f2236,f3414]) ).
fof(f6348,plain,
coll(sK27,sK26,sK25),
inference(resolution,[],[f6315,f272]) ).
fof(f6350,plain,
$false,
inference(forward_subsumption_resolution,[],[f6348,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 % Computer : n016.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Sun Sep 27 08:37:12 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.59 % (2324586)Will run a generic schedule for satisfiability detection.
% 0.80/0.59 % (2324596)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3628325944:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.59 % (2324592)% WARNING: option uhcvi not known.
% 0.80/0.59 % (2324591)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3670761785_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.59 % (2324592)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2447727075:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.59 % (2324593)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3733690217:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.59 % (2324594)dis+10_1_sil=32000:sp=arity:random_seed=852137775:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.59 % (2324595)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1140745333:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.59 % (2324597)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=814963788:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.59 % TRYING [1]
% 0.80/0.59 % TRYING [2]
% 0.80/0.59 % TRYING [3]
% 0.80/0.59 % (2324596)Instruction limit reached!
% 0.80/0.59 % (2324596)------------------------------
% 0.80/0.59 % (2324596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.59 % (2324596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.59 % (2324596)CaDiCaL version: 2.1.3
% 0.80/0.59 % (2324596)Termination reason: Instruction limit
% 0.80/0.59 % (2324596)Termination phase: Saturation
% 0.80/0.59 % (2324596)Time elapsed: 0.047 s
% 0.80/0.59 % (2324596)Peak memory usage: 14 MB
% 0.80/0.59 % (2324596)Instructions burned: 134 (million)
% 0.80/0.59 % (2324605)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=997049629:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.59 % TRYING [1]
% 0.80/0.59 % TRYING [2]
% 0.80/0.59 % (2324594)Instruction limit reached!
% 0.80/0.59 % (2324594)------------------------------
% 0.80/0.59 % (2324594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.59 % (2324594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.59 % (2324594)CaDiCaL version: 2.1.3
% 0.80/0.59 % (2324594)Termination reason: Instruction limit
% 0.80/0.59 % (2324594)Termination phase: Saturation
% 0.80/0.59 % (2324594)Time elapsed: 0.067 s
% 0.80/0.59 % (2324594)Peak memory usage: 13 MB
% 0.80/0.59 % (2324594)Instructions burned: 103 (million)
% 0.80/0.59 % (2324595)Instruction limit reached!
% 0.80/0.59 % (2324595)------------------------------
% 0.80/0.59 % (2324595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.59 % (2324595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.59 % (2324595)CaDiCaL version: 2.1.3
% 0.80/0.59 % (2324595)Termination reason: Instruction limit
% 0.80/0.59 % (2324595)Termination phase: Saturation
% 0.80/0.59 % (2324595)Time elapsed: 0.068 s
% 0.80/0.59 % (2324595)Peak memory usage: 13 MB
% 0.80/0.59 % (2324595)Instructions burned: 116 (million)
% 0.80/0.59 % TRYING [3]
% 0.80/0.59 % (2324607)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=235758891:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.59 % (2324608)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3635710399:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.59 % (2324597)Instruction limit reached!
% 0.80/0.59 % (2324597)------------------------------
% 0.80/0.59 % (2324597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.59 % (2324597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.59 % (2324597)CaDiCaL version: 2.1.3
% 0.80/0.59 % (2324597)Termination reason: Instruction limit
% 0.80/0.59 % (2324597)Termination phase: Saturation
% 0.80/0.59 % (2324597)Time elapsed: 0.093 s
% 0.80/0.59 % (2324597)Peak memory usage: 14 MB
% 0.80/0.59 % (2324597)Instructions burned: 160 (million)
% 0.80/0.59 % (2324593) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2324586-2324593"...
% 0.80/0.59 % (2324593)...printing done.
% 0.80/0.59 % (2324593)Refutation found. Thanks to Tanya!
% 0.80/0.59 % SZS status Theorem for theBenchmark
% 0.80/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.59 % (2324593)------------------------------
% 0.80/0.59 % (2324593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.59 % (2324593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.59 % (2324593)CaDiCaL version: 2.1.3
% 0.80/0.59 % (2324593)Termination reason: Refutation
% 0.80/0.59 % (2324593)Time elapsed: 0.104 s
% 0.80/0.59 % (2324593)Peak memory usage: 14 MB
% 0.80/0.59 % (2324593)Instructions burned: 160 (million)
% 0.80/0.59 % (2324586)Success in time 0.141 s
% 0.80/0.59 % Vampire exiting
%------------------------------------------------------------------------------