%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO620+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 : n005.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 09:54:53 AM UTC 2026
% Result : Theorem 0.49s 0.52s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 53 ( 29 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 97 ( 24 ~; 19 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 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 : 75 ( 59 !; 16 ?)
% 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] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> coll(X4,X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> coll(X4,X7,X6) ),
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(X4,X7,X6)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,X6)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ coll(sK24,sK27,sK26)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& perp(sK24,sK22,sK20,sK23)
& coll(sK24,sK20,sK23)
& perp(sK20,sK23,sK20,sK25)
& perp(sK26,sK22,sK20,sK25)
& coll(sK26,sK20,sK25)
& perp(sK27,sK22,sK21,sK23)
& coll(sK27,sK21,sK23) ),
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,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK24,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ coll(sK24,sK27,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
coll(sK26,sK25,sK20),
inference(resolution,[],[f271,f386]) ).
fof(f403,plain,
coll(sK24,sK23,sK20),
inference(resolution,[],[f271,f389]) ).
fof(f514,plain,
! [X0] :
( ~ coll(sK24,sK20,X0)
| coll(X0,sK23,sK24) ),
inference(resolution,[],[f273,f389]) ).
fof(f515,plain,
! [X0] :
( ~ coll(sK24,sK23,X0)
| coll(X0,sK20,sK24) ),
inference(resolution,[],[f273,f403]) ).
fof(f519,plain,
! [X0] :
( ~ coll(sK26,sK25,X0)
| coll(X0,sK20,sK26) ),
inference(resolution,[],[f273,f402]) ).
fof(f520,plain,
! [X0] :
( ~ coll(sK27,sK21,X0)
| coll(X0,sK23,sK27) ),
inference(resolution,[],[f273,f384]) ).
fof(f528,plain,
coll(sK23,sK23,sK24),
inference(resolution,[],[f514,f389]) ).
fof(f575,plain,
! [X0] :
( ~ coll(sK23,sK23,X0)
| coll(X0,sK24,sK23) ),
inference(resolution,[],[f528,f273]) ).
fof(f577,plain,
coll(sK23,sK24,sK23),
inference(resolution,[],[f528,f271]) ).
fof(f578,plain,
! [X0] :
( ~ coll(sK23,sK24,X0)
| coll(X0,sK23,sK23) ),
inference(resolution,[],[f577,f273]) ).
fof(f644,plain,
coll(sK23,sK23,sK27),
inference(resolution,[],[f520,f384]) ).
fof(f696,plain,
! [X0] :
( ~ coll(sK23,sK23,X0)
| coll(X0,sK27,sK23) ),
inference(resolution,[],[f644,f273]) ).
fof(f969,plain,
coll(sK20,sK20,sK24),
inference(resolution,[],[f515,f403]) ).
fof(f1032,plain,
! [X0] :
( ~ coll(sK20,sK20,X0)
| coll(X0,sK24,sK20) ),
inference(resolution,[],[f969,f273]) ).
fof(f1058,plain,
coll(sK20,sK20,sK26),
inference(resolution,[],[f519,f402]) ).
fof(f1445,plain,
coll(sK27,sK24,sK23),
inference(resolution,[],[f575,f644]) ).
fof(f1471,plain,
coll(sK27,sK23,sK24),
inference(resolution,[],[f1445,f271]) ).
fof(f1483,plain,
! [X0] :
( ~ coll(sK27,sK23,X0)
| coll(X0,sK24,sK27) ),
inference(resolution,[],[f1471,f273]) ).
fof(f1813,plain,
coll(sK26,sK24,sK20),
inference(resolution,[],[f1032,f1058]) ).
fof(f1823,plain,
coll(sK24,sK26,sK20),
inference(resolution,[],[f1813,f272]) ).
fof(f1827,plain,
coll(sK24,sK20,sK26),
inference(resolution,[],[f1823,f271]) ).
fof(f1835,plain,
coll(sK26,sK23,sK24),
inference(resolution,[],[f1827,f514]) ).
fof(f1854,plain,
coll(sK23,sK26,sK24),
inference(resolution,[],[f1835,f272]) ).
fof(f1876,plain,
coll(sK23,sK24,sK26),
inference(resolution,[],[f1854,f271]) ).
fof(f1898,plain,
coll(sK26,sK23,sK23),
inference(resolution,[],[f1876,f578]) ).
fof(f1930,plain,
coll(sK23,sK26,sK23),
inference(resolution,[],[f1898,f272]) ).
fof(f1967,plain,
coll(sK23,sK23,sK26),
inference(resolution,[],[f1930,f271]) ).
fof(f2000,plain,
coll(sK26,sK27,sK23),
inference(resolution,[],[f1967,f696]) ).
fof(f2024,plain,
coll(sK27,sK26,sK23),
inference(resolution,[],[f2000,f272]) ).
fof(f2048,plain,
coll(sK27,sK23,sK26),
inference(resolution,[],[f2024,f271]) ).
fof(f3005,plain,
coll(sK26,sK24,sK27),
inference(resolution,[],[f1483,f2048]) ).
fof(f3046,plain,
coll(sK24,sK26,sK27),
inference(resolution,[],[f3005,f272]) ).
fof(f3050,plain,
coll(sK24,sK27,sK26),
inference(resolution,[],[f3046,f271]) ).
fof(f3051,plain,
$false,
inference(forward_subsumption_resolution,[],[f3050,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 08:39:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 0.49/0.52 % (3684124)Will run a generic schedule for satisfiability detection.
% 0.49/0.52 % (3684135)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=776807062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.49/0.52 % (3684130)% WARNING: option uhcvi not known.
% 0.49/0.52 % (3684129)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3909727452_2999 on theBenchmark for (2999ds/0Mi)
% 0.49/0.52 % (3684131)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3058979864:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.49/0.52 % (3684130)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1035723788:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.49/0.52 % (3684132)dis+10_1_sil=32000:sp=arity:random_seed=1768252185:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.49/0.52 % (3684134)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2803909821:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.49/0.52 % (3684133)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2917109858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.49/0.52 % TRYING [1]
% 0.49/0.52 % TRYING [2]
% 0.49/0.52 % (3684135)Instruction limit reached!
% 0.49/0.52 % (3684135)------------------------------
% 0.49/0.52 % (3684135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.52 % (3684135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.52 % (3684135)CaDiCaL version: 2.1.3
% 0.49/0.52 % (3684135)Termination reason: Instruction limit
% 0.49/0.52 % (3684135)Termination phase: Saturation
% 0.49/0.52 % (3684135)Time elapsed: 0.050 s
% 0.49/0.52 % (3684135)Peak memory usage: 15 MB
% 0.49/0.52 % (3684135)Instructions burned: 160 (million)
% 0.49/0.52 % TRYING [3]
% 0.49/0.52 % (3684143)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1739551162:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.49/0.52 % (3684131) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3684124-3684131"...
% 0.49/0.52 % (3684131)...printing done.
% 0.49/0.52 % (3684131)Refutation found. Thanks to Tanya!
% 0.49/0.52 % SZS status Theorem for theBenchmark
% 0.49/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.52 % (3684131)------------------------------
% 0.49/0.52 % (3684131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.52 % (3684131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.52 % (3684131)CaDiCaL version: 2.1.3
% 0.49/0.52 % (3684131)Termination reason: Refutation
% 0.49/0.52 % (3684131)Time elapsed: 0.053 s
% 0.49/0.52 % (3684131)Peak memory usage: 13 MB
% 0.49/0.52 % (3684131)Instructions burned: 80 (million)
% 0.49/0.52 % (3684124)Success in time 0.107 s
% 0.49/0.52 % Vampire exiting
%------------------------------------------------------------------------------