%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:53:42 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 4 unt; 2 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 30 ~; 30 |; 4 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
fof(f29,axiom,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
<=> once(at_the_same_time(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',symmetry_of_at_the_same_time) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> connect(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> connect(X1,X0,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f71,plain,
? [X0,X1,X2] :
( connect(X0,X1,X2)
<~> connect(X1,X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( connect(X0,X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(X1,X2))) )
& ( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f120,plain,
! [X0,X1] :
( ( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) )
& ( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ( ~ connect(X1,X0,X2)
| ~ connect(X0,X1,X2) )
& ( connect(X1,X0,X2)
| connect(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f126,plain,
( ( ~ connect(sK25,sK24,sK26)
| ~ connect(sK24,sK25,sK26) )
& ( connect(sK25,sK24,sK26)
| connect(sK24,sK25,sK26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26)],[f125]) ).
fof(f203,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ once(at_the_same_time(at(X0,X2),at(X1,X2)))
| connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f205,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f217,plain,
( connect(sK25,sK24,sK26)
| connect(sK24,sK25,sK26) ),
inference(cnf_transformation,[],[f126]) ).
fof(f218,plain,
( ~ connect(sK25,sK24,sK26)
| ~ connect(sK24,sK25,sK26) ),
inference(cnf_transformation,[],[f126]) ).
fof(f230,definition,
( spl27_1
<=> connect(sK24,sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f231,plain,
( ~ connect(sK24,sK25,sK26)
| spl27_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( connect(sK24,sK25,sK26)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl27_2
<=> connect(sK25,sK24,sK26) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f236,plain,
( connect(sK25,sK24,sK26)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f217,f234,f230]) ).
fof(f238,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f218,f234,f230]) ).
fof(f359,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X1,X2),at(X0,X2)))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f203,f205]) ).
fof(f734,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| connect(X1,X0,X2) ),
inference(resolution,[],[f359,f204]) ).
fof(f802,plain,
( connect(sK24,sK25,sK26)
| ~ spl27_2 ),
inference(resolution,[],[f734,f236]) ).
fof(f805,plain,
( $false
| spl27_1
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f802,f231]) ).
fof(f806,plain,
( spl27_1
| ~ spl27_2 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f807,plain,
( connect(sK25,sK24,sK26)
| ~ spl27_1 ),
inference(resolution,[],[f232,f734]) ).
fof(f810,plain,
( spl27_2
| ~ spl27_1 ),
inference(avatar_split_clause,[],[f807,f230,f234]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f237]) ).
cnf(s2,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s3,plain,
( spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f806]) ).
cnf(s4,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f810]) ).
cnf(s5,plain,
spl27_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl27_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f811,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n004.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 07:15:06 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (3165241)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3165249)dis+10_1_sil=32000:sp=arity:random_seed=2912542350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (3165247)% WARNING: option uhcvi not known.
% 0.12/0.46 % (3165246)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2070467152_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (3165250)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2018573975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (3165247)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1193914287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (3165248)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3569113970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (3165252)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1172252487:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (3165251)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2928307326:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (3165249) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3165241-3165249"...
% 0.12/0.46 % (3165249)...printing done.
% 0.12/0.46 % (3165249)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (3165249)------------------------------
% 0.12/0.46 % (3165249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (3165249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (3165249)CaDiCaL version: 2.1.3
% 0.12/0.46 % (3165249)Termination reason: Refutation
% 0.12/0.46 % (3165249)Time elapsed: 0.013 s
% 0.12/0.46 % (3165249)Peak memory usage: 13 MB
% 0.12/0.46 % (3165249)Instructions burned: 31 (million)
% 0.12/0.46 % (3165241)Success in time 0.041 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------