%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:47:38 AM UTC 2026
% Result : Unsatisfiable 0.63s 0.51s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 60 ( 34 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 97 ( 49 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_x_and_0) ).
fof(f6,axiom,
! [X0] : meet(n0,X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_0_and_x) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| join(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2)
| ~ meet(X0,X4,X5)
| meet(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2)
| meet(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ join(X0,X4,X5)
| ~ join(X1,X3,X4)
| ~ join(X0,X1,X2)
| join(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join1) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ join(X2,X3,X5)
| ~ join(X1,X3,X4)
| ~ join(X0,X1,X2)
| join(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join2) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X0,X1,X0)
| ~ join(X0,X2,X3)
| ~ meet(X2,X1,X4)
| ~ join(X0,X4,X5)
| meet(X1,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity2) ).
fof(f21,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f22,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f24,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f25,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f26,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f28,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f29,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f30,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f31,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f38,plain,
meet(r2,c,n0),
inference(resolution,[],[f11,f24]) ).
fof(f39,plain,
meet(b,r2,e),
inference(resolution,[],[f11,f25]) ).
fof(f40,plain,
meet(a,r2,d),
inference(resolution,[],[f11,f29]) ).
fof(f41,plain,
meet(r1,c2,n0),
inference(resolution,[],[f11,f28]) ).
fof(f52,plain,
join(e,r1,a2),
inference(resolution,[],[f12,f30]) ).
fof(f69,plain,
join(a,d,a),
inference(resolution,[],[f13,f40]) ).
fof(f71,plain,
join(b,e,b),
inference(resolution,[],[f13,f39]) ).
fof(f85,plain,
meet(r1,a2,r1),
inference(resolution,[],[f14,f30]) ).
fof(f105,plain,
join(d,a,a),
inference(resolution,[],[f69,f12]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ meet(X0,c,X2)
| ~ meet(X0,a,X1)
| meet(X1,b,X2) ),
inference(resolution,[],[f15,f22]) ).
fof(f232,plain,
! [X0] :
( ~ meet(r2,a,X0)
| meet(X0,b,n0) ),
inference(resolution,[],[f200,f38]) ).
fof(f236,plain,
meet(d,b,n0),
inference(resolution,[],[f232,f29]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ meet(X3,X0,n0)
| ~ meet(X0,X1,X2)
| meet(X3,X2,n0) ),
inference(resolution,[],[f16,f6]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ join(a,X0,X2)
| ~ join(X0,X1,b)
| join(X2,X1,c2) ),
inference(resolution,[],[f17,f26]) ).
fof(f516,plain,
! [X0] :
( join(c2,X0,c2)
| ~ join(b,X0,b) ),
inference(resolution,[],[f464,f26]) ).
fof(f525,plain,
! [X0] :
( ~ join(b,X0,b)
| join(X0,c2,c2) ),
inference(resolution,[],[f516,f12]) ).
fof(f529,plain,
join(e,c2,c2),
inference(resolution,[],[f525,f71]) ).
fof(f533,plain,
meet(e,c2,e),
inference(resolution,[],[f529,f14]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ join(X2,X0,a)
| ~ join(X0,b,X1)
| join(X2,X1,c2) ),
inference(resolution,[],[f18,f26]) ).
fof(f646,plain,
! [X0] :
( ~ join(a,b,X0)
| join(d,X0,c2) ),
inference(resolution,[],[f563,f105]) ).
fof(f671,plain,
join(d,c2,c2),
inference(resolution,[],[f646,f26]) ).
fof(f674,plain,
meet(d,c2,d),
inference(resolution,[],[f671,f14]) ).
fof(f681,plain,
meet(c2,d,d),
inference(resolution,[],[f674,f11]) ).
fof(f701,plain,
! [X2,X3,X0,X1] :
( ~ meet(X0,a2,X2)
| ~ join(r1,X0,X1)
| ~ join(r1,X2,X3)
| meet(a2,X1,X3) ),
inference(resolution,[],[f20,f85]) ).
fof(f711,plain,
! [X2,X3,X0,X1] :
( ~ meet(X0,c2,X2)
| ~ join(e,X0,X1)
| ~ join(e,X2,X3)
| meet(c2,X1,X3) ),
inference(resolution,[],[f20,f533]) ).
fof(f1632,plain,
! [X0,X1] :
( ~ meet(b,X0,X1)
| meet(d,X1,n0) ),
inference(resolution,[],[f249,f236]) ).
fof(f1690,plain,
meet(d,e,n0),
inference(resolution,[],[f1632,f39]) ).
fof(f1701,plain,
meet(e,d,n0),
inference(resolution,[],[f1690,f11]) ).
fof(f1728,plain,
! [X2,X0,X1] :
( ~ meet(X0,d,X1)
| ~ meet(X2,X0,e)
| meet(X2,X1,n0) ),
inference(resolution,[],[f1701,f16]) ).
fof(f4587,plain,
! [X0] :
( ~ meet(X0,c2,e)
| meet(X0,d,n0) ),
inference(resolution,[],[f1728,f681]) ).
fof(f6521,plain,
! [X0,X1] :
( ~ join(e,r1,X0)
| ~ join(e,n0,X1)
| meet(c2,X0,X1) ),
inference(resolution,[],[f711,f41]) ).
fof(f6533,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(c2,a2,X0) ),
inference(resolution,[],[f6521,f52]) ).
fof(f6534,plain,
meet(c2,a2,e),
inference(resolution,[],[f6533,f5]) ).
fof(f6552,plain,
meet(a2,c2,e),
inference(resolution,[],[f6534,f11]) ).
fof(f6567,plain,
meet(a2,d,n0),
inference(resolution,[],[f6552,f4587]) ).
fof(f6606,plain,
meet(d,a2,n0),
inference(resolution,[],[f6567,f11]) ).
fof(f6645,plain,
! [X0,X1] :
( ~ join(r1,d,X0)
| ~ join(r1,n0,X1)
| meet(a2,X0,X1) ),
inference(resolution,[],[f6606,f701]) ).
fof(f6887,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(a2,b2,X0) ),
inference(resolution,[],[f6645,f31]) ).
fof(f6888,plain,
meet(a2,b2,r1),
inference(resolution,[],[f6887,f5]) ).
fof(f6889,plain,
$false,
inference(forward_subsumption_resolution,[],[f6888,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 13:54:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.32 Running first-order model finding
% 0.07/0.32 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
% 0.63/0.50 % (2397308)Will run a generic schedule for satisfiability detection.
% 0.63/0.50 % (2397314)% WARNING: option uhcvi not known.
% 0.63/0.50 % (2397316)dis+10_1_sil=32000:sp=arity:random_seed=3530969678:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.63/0.50 % (2397317)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1733930662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.63/0.50 % (2397318)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=763974626:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.63/0.50 % (2397313)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2362855857_2999 on theBenchmark for (2999ds/0Mi)
% 0.63/0.50 % (2397314)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1599021097:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.63/0.50 % (2397315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4036674358:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.63/0.50 % (2397319)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1514680322:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.63/0.50 % Detected minimum model sizes of [1]
% 0.63/0.50 % Detected maximum model sizes of [12]
% 0.63/0.50 % TRYING [1]
% 0.63/0.50 % TRYING [2]
% 0.63/0.50 % TRYING [3]
% 0.63/0.50 % TRYING [4]
% 0.63/0.50 % TRYING [5]
% 0.63/0.50 % (2397316)Instruction limit reached!
% 0.63/0.50 % (2397316)------------------------------
% 0.63/0.50 % (2397316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (2397316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (2397316)CaDiCaL version: 2.1.3
% 0.63/0.50 % (2397316)Termination reason: Instruction limit
% 0.63/0.50 % (2397316)Termination phase: Saturation
% 0.63/0.50 % (2397316)Time elapsed: 0.030 s
% 0.63/0.50 % (2397316)Peak memory usage: 12 MB
% 0.63/0.50 % (2397316)Instructions burned: 104 (million)
% 0.63/0.50 % (2397317)Instruction limit reached!
% 0.63/0.50 % (2397317)------------------------------
% 0.63/0.50 % (2397317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (2397317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (2397317)CaDiCaL version: 2.1.3
% 0.63/0.50 % (2397317)Termination reason: Instruction limit
% 0.63/0.50 % (2397317)Termination phase: Saturation
% 0.63/0.50 % (2397317)Time elapsed: 0.032 s
% 0.63/0.50 % (2397317)Peak memory usage: 12 MB
% 0.63/0.50 % (2397317)Instructions burned: 118 (million)
% 0.63/0.50 % (2397318)Instruction limit reached!
% 0.63/0.50 % (2397318)------------------------------
% 0.63/0.50 % (2397318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (2397318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (2397318)CaDiCaL version: 2.1.3
% 0.63/0.50 % (2397318)Termination reason: Instruction limit
% 0.63/0.50 % (2397318)Termination phase: Saturation
% 0.63/0.50 % (2397318)Time elapsed: 0.038 s
% 0.63/0.50 % (2397318)Peak memory usage: 13 MB
% 0.63/0.50 % (2397318)Instructions burned: 131 (million)
% 0.63/0.50 % (2397327)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3551998306:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.63/0.50 % Detected minimum model sizes of [1]
% 0.63/0.50 % Detected maximum model sizes of [12]
% 0.63/0.50 % TRYING [1]
% 0.63/0.50 % TRYING [2]
% 0.63/0.50 % (2397328)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2775514169:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.63/0.50 % TRYING [3]
% 0.63/0.50 % TRYING [4]
% 0.63/0.50 % (2397329)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1803067667:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.63/0.50 % (2397319)Instruction limit reached!
% 0.63/0.50 % (2397319)------------------------------
% 0.63/0.50 % (2397319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (2397319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (2397319)CaDiCaL version: 2.1.3
% 0.63/0.50 % (2397319)Termination reason: Instruction limit
% 0.63/0.50 % (2397319)Termination phase: Saturation
% 0.63/0.50 % (2397319)Time elapsed: 0.050 s
% 0.63/0.50 % (2397319)Peak memory usage: 13 MB
% 0.63/0.50 % (2397319)Instructions burned: 160 (million)
% 0.63/0.50 % (2397333)ott-21_1_sil=16000:fs=off:random_seed=158744427:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.63/0.50 % TRYING [5]
% 0.63/0.50 % (2397328)Instruction limit reached!
% 0.63/0.51 % (2397328)------------------------------
% 0.63/0.51 % (2397328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (2397328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (2397328)CaDiCaL version: 2.1.3
% 0.63/0.51 % (2397328)Termination reason: Instruction limit
% 0.63/0.51 % (2397328)Termination phase: Saturation
% 0.63/0.51 % (2397328)Time elapsed: 0.038 s
% 0.63/0.51 % (2397328)Peak memory usage: 13 MB
% 0.63/0.51 % (2397328)Instructions burned: 132 (million)
% 0.63/0.51 % (2397335)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3687359458:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.63/0.51 % (2397333)Instruction limit reached!
% 0.63/0.51 % (2397333)------------------------------
% 0.63/0.51 % (2397333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (2397333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (2397333)CaDiCaL version: 2.1.3
% 0.63/0.51 % (2397333)Termination reason: Instruction limit
% 0.63/0.51 % (2397333)Termination phase: Saturation
% 0.63/0.51 % (2397333)Time elapsed: 0.049 s
% 0.63/0.51 % (2397333)Peak memory usage: 12 MB
% 0.63/0.51 % (2397333)Instructions burned: 180 (million)
% 0.63/0.51 % (2397337)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3063509458:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.63/0.51 % Detected minimum model sizes of [1]
% 0.63/0.51 % Detected maximum model sizes of [12]
% 0.63/0.51 % TRYING [1]
% 0.63/0.51 % TRYING [2]
% 0.63/0.51 % TRYING [3]
% 0.63/0.51 % TRYING [4]
% 0.63/0.51 % (2397329) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2397308-2397329"...
% 0.63/0.51 % (2397329)...printing done.
% 0.63/0.51 % (2397329)Refutation found. Thanks to Tanya!
% 0.63/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.63/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.51 % (2397329)------------------------------
% 0.63/0.51 % (2397329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (2397329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (2397329)CaDiCaL version: 2.1.3
% 0.63/0.51 % (2397329)Termination reason: Refutation
% 0.63/0.51 % (2397329)Time elapsed: 0.100 s
% 0.63/0.51 % (2397329)Peak memory usage: 14 MB
% 0.63/0.51 % (2397329)Instructions burned: 331 (million)
% 0.63/0.51 % (2397308)Success in time 0.176 s
% 0.63/0.51 % Vampire exiting
%------------------------------------------------------------------------------