%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL046-1 : 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 : n005.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 12:34:08 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.49s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 19 unt; 2 def)
% Number of atoms : 39 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f17,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,sk2) != sk2
| join(sk1,sk3) != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( sk2 != join(sk1,sk2)
| sk3 != join(sk1,sk3) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
complement(join(complement(sk2),complement(sk3))) = join(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(definition_unfolding,[],[f18,f6,f6]) ).
fof(f23,definition,
( spl0_1
<=> sk3 = join(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,plain,
( sk3 != join(sk1,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,definition,
( spl0_2
<=> sk2 = join(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f27,plain,
( sk2 != join(sk1,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f28,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20,f26,f23]) ).
fof(f45,plain,
! [X0] : join(complement(join(complement(sk2),complement(sk3))),X0) = join(sk1,join(complement(join(complement(sk2),complement(sk3))),X0)),
inference(superposition,[],[f2,f21]) ).
fof(f80,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f97,plain,
sk2 = join(sk1,sk2),
inference(superposition,[],[f45,f4]) ).
fof(f537,plain,
sk3 = join(sk1,sk3),
inference(superposition,[],[f45,f80]) ).
fof(f550,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f537,f24]) ).
fof(f551,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f552,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f27,f97]) ).
fof(f553,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f552]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f551]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f553]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f554,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:57:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 3.55/1.49 % (273579)Input is clausal, will run a generic CNF schedule.
% 3.55/1.49 % (273677)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3570943240:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.49 % (273682)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2080714296:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.49 % (273679)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=454162592:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.49 % (273683)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=196870797:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.49 % (273675)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=2598302631:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.49 % (273684)dis-21_1_sil=8000:lcm=predicate:random_seed=2187510160: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)
% 3.55/1.49 % (273682)First to succeed.
% 3.55/1.49 % (273684)Refutation not found, incomplete strategy
% 3.55/1.49 % (273684)------------------------------
% 3.55/1.49 % (273684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.49 % (273684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.49 % (273684)CaDiCaL version: 2.1.3
% 3.55/1.49 % (273684)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.49 % (273684)Time elapsed: 0.002 s
% 3.55/1.49 % (273684)Peak memory usage: 88 MB
% 3.55/1.49 % (273684)Instructions burned: 1 (million)
% 3.55/1.49 % (273682)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-273579"
% 3.55/1.49 % (273680)lrs+10_1_sil=8000:sp=occurrence:random_seed=115420956:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.49 % (273680)Also succeeded, but the first one will report.
% 3.55/1.49 % (273683)Instruction limit reached!
% 3.55/1.49 % (273683)------------------------------
% 3.55/1.49 % (273683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.49 % (273683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.49 % (273683)CaDiCaL version: 2.1.3
% 3.55/1.49 % (273683)Termination reason: Instruction limit
% 3.55/1.49 % (273683)Termination phase: Saturation
% 3.55/1.49 % (273683)Time elapsed: 0.108 s
% 3.55/1.49 % (273683)Peak memory usage: 89 MB
% 3.55/1.49 % (273683)Instructions burned: 182 (million)
% 3.55/1.49 % (273684)------------------------------
% 3.55/1.49 % (273684)------------------------------
% 3.55/1.49 % (273682)Refutation found. Thanks to Tanya!
% 3.55/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.50 % (273682)------------------------------
% 3.55/1.50 % (273682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.50 % (273682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.50 % (273682)CaDiCaL version: 2.1.3
% 3.55/1.50 % (273682)Termination reason: Refutation
% 3.55/1.50 % (273682)Time elapsed: 0.015 s
% 3.55/1.50 % (273682)Peak memory usage: 89 MB
% 3.55/1.50 % (273682)Instructions burned: 22 (million)
% 3.55/1.50 % (273682)------------------------------
% 3.55/1.50 % (273682)------------------------------
% 3.55/1.50 % (273579)Success in time 0.441 s
% 3.55/1.50 % Vampire exiting
%------------------------------------------------------------------------------