%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:33:37 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.38s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 6 unt; 2 def)
% Number of atoms : 59 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f17,negated_conjecture,
( join(sk1,sk2) = sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( sk2 = join(sk1,sk2)
| converse(sk2) = join(converse(sk1),converse(sk2)) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) != converse(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f20,plain,
( sk2 != join(sk1,sk2)
| converse(sk2) != join(converse(sk1),converse(sk2)) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,plain,
( converse(sk2) != converse(join(sk1,sk2))
| sk2 != join(sk1,sk2) ),
inference(forward_demodulation,[],[f20,f11]) ).
fof(f24,plain,
( converse(sk2) = converse(join(sk1,sk2))
| sk2 = join(sk1,sk2) ),
inference(forward_demodulation,[],[f18,f11]) ).
fof(f26,definition,
( spl0_1
<=> sk2 = join(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f27,plain,
( sk2 = join(sk1,sk2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f28,plain,
( sk2 != join(sk1,sk2)
| spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl0_2
<=> converse(sk2) = converse(join(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( converse(sk2) = converse(join(sk1,sk2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( converse(sk2) != converse(join(sk1,sk2))
| spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f23,f30,f26]) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
fof(f35,plain,
( join(sk1,sk2) = converse(converse(sk2))
| ~ spl0_2 ),
inference(superposition,[],[f10,f31]) ).
fof(f36,plain,
( sk2 = join(sk1,sk2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f35,f10]) ).
fof(f37,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f36,f28]) ).
fof(f38,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f39,plain,
( converse(sk2) != converse(sk2)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f32,f27]) ).
fof(f40,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f41,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f40]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f42,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:51:56 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.38 % (1009170)Input is clausal, will run a generic CNF schedule.
% 2.66/1.38 % (1009272)lrs+10_1_sil=8000:sp=occurrence:random_seed=3141973771:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.38 % (1009272)First to succeed.
% 2.66/1.38 % (1009272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1009170"
% 2.66/1.38 % (1009271)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2309222601:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.38 % (1009275)dis-21_1_sil=8000:lcm=predicate:random_seed=208439437:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.38 % (1009270)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2228140342:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.38 % (1009269)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=793082530:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.38 % (1009273)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4287379355:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.38 % (1009275)Refutation not found, incomplete strategy
% 2.66/1.38 % (1009275)------------------------------
% 2.66/1.38 % (1009275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.38 % (1009275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.38 % (1009275)CaDiCaL version: 2.1.3
% 2.66/1.38 % (1009275)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.38 % (1009275)Time elapsed: 0.002 s
% 2.66/1.38 % (1009275)Peak memory usage: 88 MB
% 2.66/1.38 % (1009275)Instructions burned: 1 (million)
% 2.66/1.38 % (1009273)Also succeeded, but the first one will report.
% 2.66/1.38 % (1009274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2827736574:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.38 % (1009274)Also succeeded, but the first one will report.
% 2.66/1.38 % (1009272)Refutation found. Thanks to Tanya!
% 2.66/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.38 % (1009272)------------------------------
% 2.66/1.38 % (1009272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.38 % (1009272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.38 % (1009272)CaDiCaL version: 2.1.3
% 2.66/1.38 % (1009272)Termination reason: Refutation
% 2.66/1.38 % (1009272)Time elapsed: 0.002 s
% 2.66/1.38 % (1009272)Peak memory usage: 89 MB
% 2.66/1.38 % (1009272)Instructions burned: 2 (million)
% 2.66/1.38 % (1009272)------------------------------
% 2.66/1.38 % (1009272)------------------------------
% 2.66/1.38 % (1009170)Success in time 0.308 s
% 2.66/1.38 % Vampire exiting
%------------------------------------------------------------------------------