%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:45:52 AM UTC 2026
% Result : Unsatisfiable 3.45s 1.44s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] : k(join(X0,X1)) = meet(k(X0),k(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_join) ).
fof(f18,axiom,
k(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_bottom) ).
fof(f19,plain,
n1 = k(n0),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0,X1] : f(meet(X0,X1)) = join(f(X0),f(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_on_meet) ).
fof(f23,axiom,
f(n1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_on_top) ).
fof(f24,plain,
n0 = f(n1),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(k(n0)) != n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
fof(f26,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| n0 != f(k(n0)) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
( f(k(join(aa,bb))) != f(meet(k(aa),k(bb)))
| n0 != f(k(n0)) ),
inference(forward_demodulation,[],[f26,f22]) ).
fof(f28,plain,
( f(k(join(aa,bb))) != f(k(join(aa,bb)))
| n0 != f(k(n0)) ),
inference(forward_demodulation,[],[f27,f16]) ).
fof(f29,plain,
n0 != f(k(n0)),
inference(trivial_inequality_removal,[],[f28]) ).
fof(f30,plain,
n0 != f(n1),
inference(forward_demodulation,[],[f29,f19]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:57:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.45/1.44 % (2055004)Input is clausal, will run a generic CNF schedule.
% 3.45/1.44 % (2055009)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=4084657006:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.45/1.44 % (2055010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2305619608:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.45/1.44 % (2055011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3373001074:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.45/1.44 % (2055015)dis-21_1_sil=8000:lcm=predicate:random_seed=1180675400: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)
% 3.45/1.44 % (2055014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1844630787:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.45/1.44 % (2055015)Refutation not found, incomplete strategy
% 3.45/1.44 % (2055015)------------------------------
% 3.45/1.44 % (2055015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.44 % (2055015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.44 % (2055015)CaDiCaL version: 2.1.3
% 3.45/1.44 % (2055015)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.44 % (2055015)Time elapsed: 0.001 s
% 3.45/1.44 % (2055015)Peak memory usage: 88 MB
% 3.45/1.44 % (2055015)Instructions burned: 1 (million)
% 3.45/1.44 % (2055012)lrs+10_1_sil=8000:sp=occurrence:random_seed=2185935085:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.45/1.44 % (2055013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=68714083:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.45/1.44 % (2055012)First to succeed.
% 3.45/1.44 % (2055014)Also succeeded, but the first one will report.
% 3.45/1.44 % (2055012)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2055004"
% 3.45/1.44 % (2055013)Also succeeded, but the first one will report.
% 3.45/1.44 % (2055015)------------------------------
% 3.45/1.44 % (2055015)------------------------------
% 3.45/1.44 % (2055012)Refutation found. Thanks to Tanya!
% 3.45/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.44 % (2055012)------------------------------
% 3.45/1.44 % (2055012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.44 % (2055012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.44 % (2055012)CaDiCaL version: 2.1.3
% 3.45/1.44 % (2055012)Termination reason: Refutation
% 3.45/1.44 % (2055012)Time elapsed: 0.001 s
% 3.45/1.44 % (2055012)Peak memory usage: 88 MB
% 3.45/1.44 % (2055012)Instructions burned: 1 (million)
% 3.45/1.44 % (2055012)------------------------------
% 3.45/1.44 % (2055012)------------------------------
% 3.45/1.44 % (2055004)Success in time 0.401 s
% 3.45/1.44 % Vampire exiting
%------------------------------------------------------------------------------