%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO579+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 : n007.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 09:54:47 AM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 27 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 92 ( 24 ~; 19 |; 44 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 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 : 71 ( 57 !; 14 ?)
% 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] :
( ( 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,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) )
=> coll(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,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,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) )
=> coll(X6,X4,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] :
( ~ coll(X6,X4,X5)
& 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,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& 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,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ coll(sK26,sK24,sK25)
& 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,sK23,sK20,sK22)
& coll(sK24,sK20,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK25,sK21,sK22)
& perp(sK26,sK21,sK20,sK23)
& coll(sK26,sK20,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ coll(sK26,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f400,plain,
coll(sK26,sK23,sK20),
inference(resolution,[],[f271,f384]) ).
fof(f402,plain,
coll(sK24,sK22,sK20),
inference(resolution,[],[f271,f388]) ).
fof(f511,plain,
! [X0] :
( ~ coll(sK24,sK20,X0)
| coll(X0,sK22,sK24) ),
inference(resolution,[],[f273,f388]) ).
fof(f512,plain,
! [X0] :
( ~ coll(sK24,sK22,X0)
| coll(X0,sK20,sK24) ),
inference(resolution,[],[f273,f402]) ).
fof(f513,plain,
! [X0] :
( ~ coll(sK25,sK21,X0)
| coll(X0,sK22,sK25) ),
inference(resolution,[],[f273,f386]) ).
fof(f516,plain,
! [X0] :
( ~ coll(sK26,sK23,X0)
| coll(X0,sK20,sK26) ),
inference(resolution,[],[f273,f400]) ).
fof(f523,plain,
coll(sK22,sK22,sK24),
inference(resolution,[],[f511,f388]) ).
fof(f569,plain,
! [X0] :
( ~ coll(sK22,sK22,X0)
| coll(X0,sK24,sK22) ),
inference(resolution,[],[f523,f273]) ).
fof(f571,plain,
coll(sK22,sK24,sK22),
inference(resolution,[],[f523,f271]) ).
fof(f572,plain,
! [X0] :
( ~ coll(sK22,sK24,X0)
| coll(X0,sK22,sK22) ),
inference(resolution,[],[f571,f273]) ).
fof(f584,plain,
coll(sK22,sK22,sK25),
inference(resolution,[],[f513,f386]) ).
fof(f663,plain,
! [X0] :
( ~ coll(sK22,sK22,X0)
| coll(X0,sK25,sK22) ),
inference(resolution,[],[f584,f273]) ).
fof(f975,plain,
coll(sK20,sK20,sK24),
inference(resolution,[],[f512,f402]) ).
fof(f1038,plain,
! [X0] :
( ~ coll(sK20,sK20,X0)
| coll(X0,sK24,sK20) ),
inference(resolution,[],[f975,f273]) ).
fof(f1134,plain,
coll(sK20,sK20,sK26),
inference(resolution,[],[f516,f400]) ).
fof(f1451,plain,
coll(sK25,sK24,sK22),
inference(resolution,[],[f569,f584]) ).
fof(f1477,plain,
coll(sK25,sK22,sK24),
inference(resolution,[],[f1451,f271]) ).
fof(f1489,plain,
! [X0] :
( ~ coll(sK25,sK22,X0)
| coll(X0,sK24,sK25) ),
inference(resolution,[],[f1477,f273]) ).
fof(f1819,plain,
coll(sK26,sK24,sK20),
inference(resolution,[],[f1038,f1134]) ).
fof(f1829,plain,
coll(sK24,sK26,sK20),
inference(resolution,[],[f1819,f272]) ).
fof(f1833,plain,
coll(sK24,sK20,sK26),
inference(resolution,[],[f1829,f271]) ).
fof(f1841,plain,
coll(sK26,sK22,sK24),
inference(resolution,[],[f1833,f511]) ).
fof(f1860,plain,
coll(sK22,sK26,sK24),
inference(resolution,[],[f1841,f272]) ).
fof(f1882,plain,
coll(sK22,sK24,sK26),
inference(resolution,[],[f1860,f271]) ).
fof(f1904,plain,
coll(sK26,sK22,sK22),
inference(resolution,[],[f1882,f572]) ).
fof(f1936,plain,
coll(sK22,sK26,sK22),
inference(resolution,[],[f1904,f272]) ).
fof(f1973,plain,
coll(sK22,sK22,sK26),
inference(resolution,[],[f1936,f271]) ).
fof(f2006,plain,
coll(sK26,sK25,sK22),
inference(resolution,[],[f1973,f663]) ).
fof(f2030,plain,
coll(sK25,sK26,sK22),
inference(resolution,[],[f2006,f272]) ).
fof(f2054,plain,
coll(sK25,sK22,sK26),
inference(resolution,[],[f2030,f271]) ).
fof(f3012,plain,
coll(sK26,sK24,sK25),
inference(resolution,[],[f1489,f2054]) ).
fof(f3013,plain,
$false,
inference(forward_subsumption_resolution,[],[f3012,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:31:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.16/0.51 % (1105837)Will run a generic schedule for satisfiability detection.
% 0.16/0.51 % (1105842)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2867709477_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.51 % (1105843)% WARNING: option uhcvi not known.
% 0.16/0.51 % TRYING [1]
% 0.16/0.51 % TRYING [2]
% 0.16/0.51 % (1105844)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1798069675:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.51 % (1105843)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1528233790:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.51 % (1105845)dis+10_1_sil=32000:sp=arity:random_seed=2928932600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.51 % (1105846)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=540213921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.51 % (1105847)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3408119326:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.51 % (1105848)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2561242421:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.51 % TRYING [3]
% 0.16/0.51 % (1105844) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1105837-1105844"...
% 0.16/0.51 % (1105844)...printing done.
% 0.16/0.51 % (1105844)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (1105844)------------------------------
% 0.16/0.51 % (1105844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.51 % (1105844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.51 % (1105844)CaDiCaL version: 2.1.3
% 0.16/0.51 % (1105844)Termination reason: Refutation
% 0.16/0.51 % (1105844)Time elapsed: 0.053 s
% 0.16/0.51 % (1105844)Peak memory usage: 13 MB
% 0.16/0.51 % (1105844)Instructions burned: 78 (million)
% 0.16/0.51 % (1105837)Success in time 0.095 s
% 0.16/0.51 % Vampire exiting
%------------------------------------------------------------------------------