%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:34:40 PM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X0,X1) = X1
& join(X2,X1) = X1 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X0,X1) = X1
& join(X2,X1) = X1 ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( sK1 != join(join(sK0,sK2),sK1)
& sK1 = join(sK0,sK1)
& sK1 = join(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
sK1 = join(sK2,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
sK1 != join(join(sK0,sK2),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f464,plain,
sK1 != join(sK0,join(sK2,sK1)),
inference(superposition,[],[f34,f20]) ).
fof(f474,plain,
sK1 != join(sK0,sK1),
inference(forward_demodulation,[],[f464,f32]) ).
fof(f476,plain,
$false,
inference(forward_subsumption_resolution,[],[f474,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 23:01:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 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
% 0.23/0.55 % (3089305)Will run a generic schedule for satisfiability detection.
% 0.23/0.55 % (3089312)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3606494600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.55 % (3089310)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3667869628_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.55 % TRYING [1]
% 0.23/0.55 % TRYING [2]
% 0.23/0.55 % (3089311)% WARNING: option uhcvi not known.
% 0.23/0.55 % TRYING [3]
% 0.23/0.55 % (3089312) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3089305-3089312"...
% 0.23/0.55 % (3089313)dis+10_1_sil=32000:sp=arity:random_seed=1170365580:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.55 % (3089315)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=123857525:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.55 % (3089312)...printing done.
% 0.23/0.55 % (3089311)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1232076817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.55 % (3089312)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (3089312)------------------------------
% 0.23/0.55 % (3089312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.55 % (3089312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.55 % (3089312)CaDiCaL version: 2.1.3
% 0.23/0.55 % (3089312)Termination reason: Refutation
% 0.23/0.55 % (3089312)Time elapsed: 0.011 s
% 0.23/0.55 % (3089312)Peak memory usage: 12 MB
% 0.23/0.55 % (3089312)Instructions burned: 21 (million)
% 0.23/0.55 % (3089305)Success in time 0.037 s
% 0.23/0.55 % Vampire exiting
%------------------------------------------------------------------------------