%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:33:39 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.48s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 1 def)
% Number of atoms : 17 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f17,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f19,definition,
~ sP0(composition(sk1,join(sk2,sk3))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f20,plain,
sP0(join(composition(sk1,sk2),composition(sk1,sk3))),
inference(inequality_splitting,[],[f17,f19]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f39,plain,
! [X0,X1] : composition(X1,X0) = converse(composition(converse(X0),converse(X1))),
inference(superposition,[],[f10,f12]) ).
fof(f85,plain,
! [X2,X0,X1] : composition(join(X2,converse(X1)),converse(X0)) = join(composition(X2,converse(X0)),converse(composition(X0,X1))),
inference(superposition,[],[f9,f12]) ).
fof(f419,plain,
sP0(join(converse(composition(converse(sk2),converse(sk1))),composition(sk1,sk3))),
inference(superposition,[],[f20,f39]) ).
fof(f440,plain,
sP0(converse(join(composition(converse(sk2),converse(sk1)),converse(composition(sk1,sk3))))),
inference(forward_demodulation,[],[f419,f24]) ).
fof(f464,plain,
sP0(converse(composition(join(converse(sk2),converse(sk3)),converse(sk1)))),
inference(forward_demodulation,[],[f440,f85]) ).
fof(f472,plain,
sP0(converse(composition(converse(join(sk2,converse(converse(sk3)))),converse(sk1)))),
inference(forward_demodulation,[],[f464,f24]) ).
fof(f474,plain,
sP0(converse(composition(converse(join(sk2,sk3)),converse(sk1)))),
inference(forward_demodulation,[],[f472,f10]) ).
fof(f480,plain,
sP0(composition(sk1,join(sk2,sk3))),
inference(superposition,[],[f474,f39]) ).
fof(f487,plain,
$false,
inference(forward_subsumption_resolution,[],[f480,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.48 % Computer : n016.cluster.edu
% 0.25/0.48 % Model : x86_64 x86_64
% 0.25/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.48 % Memory : 8046.5625MB
% 0.25/0.48 % OS : Linux 6.8.0-71-generic
% 0.25/0.48 % CPULimit : 300
% 0.25/0.48 % WCLimit : 300
% 0.25/0.48 % DateTime : Sun Sep 27 22:55:19 UTC 2026
% 0.25/0.48 % CPUTime :
% 0.25/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.61/1.48 % (3078027)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.61/1.48 % (3078077)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3976797273:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.61/1.48 % (3078074)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3571500738:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.61/1.48 % (3078073)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3630913986:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.61/1.48 % (3078075)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3523841372:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.61/1.48 % (3078076)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3591305437:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.61/1.48 % (3078078)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3283520946:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.61/1.48 % (3078079)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=710280988:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.61/1.48 % (3078076)First to succeed.
% 3.61/1.48 % (3078076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3078027"
% 3.61/1.48 % (3078077)Instruction limit reached!
% 3.61/1.48 % (3078077)------------------------------
% 3.61/1.48 % (3078077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (3078077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (3078077)CaDiCaL version: 2.1.3
% 3.61/1.48 % (3078077)Termination reason: Instruction limit
% 3.61/1.48 % (3078077)Termination phase: Saturation
% 3.61/1.48 % (3078077)Time elapsed: 0.058 s
% 3.61/1.48 % (3078077)Peak memory usage: 89 MB
% 3.61/1.48 % (3078077)Instructions burned: 184 (million)
% 3.61/1.48 % (3078121)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1068420996:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.61/1.48 % (3078078)Instruction limit reached!
% 3.61/1.48 % (3078078)------------------------------
% 3.61/1.48 % (3078078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (3078078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (3078078)CaDiCaL version: 2.1.3
% 3.61/1.48 % (3078078)Termination reason: Instruction limit
% 3.61/1.48 % (3078078)Termination phase: Saturation
% 3.61/1.48 % (3078078)Time elapsed: 0.170 s
% 3.61/1.48 % (3078078)Peak memory usage: 90 MB
% 3.61/1.48 % (3078078)Instructions burned: 258 (million)
% 3.61/1.48 % (3078076)Refutation found. Thanks to Tanya!
% 3.61/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.48 % (3078076)------------------------------
% 3.61/1.48 % (3078076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (3078076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (3078076)CaDiCaL version: 2.1.3
% 3.61/1.48 % (3078076)Termination reason: Refutation
% 3.61/1.48 % (3078076)Time elapsed: 0.016 s
% 3.61/1.48 % (3078076)Peak memory usage: 88 MB
% 3.61/1.48 % (3078076)Instructions burned: 22 (million)
% 3.61/1.48 % (3078076)------------------------------
% 3.61/1.48 % (3078076)------------------------------
% 3.61/1.48 % (3078027)Success in time 0.425 s
% 3.61/1.48 % Vampire exiting
%------------------------------------------------------------------------------