TSTP Solution File: LAT157-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT157-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:29:49 EDT 2023
% Result : Unsatisfiable 56.34s 8.37s
% Output : Refutation 56.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330264,plain,
$false,
inference(subsumption_resolution,[],[f330263,f21]) ).
fof(f21,plain,
sF2 != sF9,
inference(definition_folding,[],[f10,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
meet(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
join(b,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f13,plain,
meet(a,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f14,plain,
join(b,c) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
meet(a,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f16,plain,
meet(b,c) = sF5,
introduced(function_definition,[]) ).
fof(f17,plain,
join(sF4,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f18,plain,
meet(c,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f19,plain,
join(b,sF7) = sF8,
introduced(function_definition,[]) ).
fof(f20,plain,
meet(a,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f10,axiom,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',prove_H2) ).
fof(f330263,plain,
sF2 = sF9,
inference(forward_demodulation,[],[f330262,f13]) ).
fof(f330262,plain,
meet(a,sF1) = sF9,
inference(forward_demodulation,[],[f330261,f20]) ).
fof(f330261,plain,
meet(a,sF1) = meet(a,sF8),
inference(forward_demodulation,[],[f330260,f12]) ).
fof(f330260,plain,
meet(a,sF8) = meet(a,join(b,sF0)),
inference(forward_demodulation,[],[f330259,f13962]) ).
fof(f13962,plain,
sF0 = meet(a,sF7),
inference(forward_demodulation,[],[f13942,f379]) ).
fof(f379,plain,
meet(sF0,sF6) = meet(a,sF7),
inference(superposition,[],[f76,f18]) ).
fof(f76,plain,
! [X15] : meet(a,meet(c,X15)) = meet(sF0,X15),
inference(superposition,[],[f7,f11]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',associativity_of_meet) ).
fof(f13942,plain,
sF0 = meet(sF0,sF6),
inference(superposition,[],[f3,f13837]) ).
fof(f13837,plain,
sF6 = join(sF0,sF6),
inference(forward_demodulation,[],[f13813,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',commutativity_of_join) ).
fof(f13813,plain,
sF6 = join(sF6,sF0),
inference(superposition,[],[f3342,f13098]) ).
fof(f13098,plain,
sF0 = meet(c,sF4),
inference(forward_demodulation,[],[f13097,f393]) ).
fof(f393,plain,
sF0 = meet(sF0,sF3),
inference(forward_demodulation,[],[f377,f11]) ).
fof(f377,plain,
meet(a,c) = meet(sF0,sF3),
inference(superposition,[],[f76,f160]) ).
fof(f160,plain,
c = meet(c,sF3),
inference(superposition,[],[f48,f14]) ).
fof(f48,plain,
! [X2,X1] : meet(X1,join(X2,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f13097,plain,
meet(sF0,sF3) = meet(c,sF4),
inference(forward_demodulation,[],[f13058,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',commutativity_of_meet) ).
fof(f13058,plain,
meet(sF0,sF3) = meet(sF4,c),
inference(superposition,[],[f382,f78]) ).
fof(f78,plain,
! [X17] : meet(a,meet(sF3,X17)) = meet(sF4,X17),
inference(superposition,[],[f7,f15]) ).
fof(f382,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(X0,c)),
inference(superposition,[],[f76,f5]) ).
fof(f3342,plain,
! [X131] : sF6 = join(sF6,meet(X131,sF4)),
inference(superposition,[],[f92,f26]) ).
fof(f26,plain,
sF4 = meet(sF4,sF6),
inference(superposition,[],[f3,f17]) ).
fof(f92,plain,
! [X6,X7,X5] : join(X7,meet(X5,meet(X6,X7))) = X7,
inference(superposition,[],[f43,f7]) ).
fof(f43,plain,
! [X3,X4] : join(X3,meet(X4,X3)) = X3,
inference(superposition,[],[f4,f5]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',absorption2) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',absorption1) ).
fof(f330259,plain,
meet(a,sF8) = meet(a,join(b,meet(a,sF7))),
inference(forward_demodulation,[],[f330258,f5]) ).
fof(f330258,plain,
meet(a,sF8) = meet(a,join(b,meet(sF7,a))),
inference(forward_demodulation,[],[f328495,f19]) ).
fof(f328495,plain,
meet(a,join(b,meet(sF7,a))) = meet(a,join(b,sF7)),
inference(superposition,[],[f11830,f28935]) ).
fof(f28935,plain,
sF7 = meet(sF7,join(a,b)),
inference(superposition,[],[f7469,f28740]) ).
fof(f28740,plain,
join(a,sF8) = join(a,b),
inference(forward_demodulation,[],[f28739,f6]) ).
fof(f28739,plain,
join(sF8,a) = join(a,b),
inference(forward_demodulation,[],[f28738,f33]) ).
fof(f33,plain,
b = join(b,sF5),
inference(superposition,[],[f4,f16]) ).
fof(f28738,plain,
join(sF8,a) = join(a,join(b,sF5)),
inference(forward_demodulation,[],[f28737,f6]) ).
fof(f28737,plain,
join(sF8,a) = join(a,join(sF5,b)),
inference(forward_demodulation,[],[f28673,f132]) ).
fof(f132,plain,
! [X11,X12,X13] : join(X11,join(X12,X13)) = join(X13,join(X11,X12)),
inference(superposition,[],[f8,f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',associativity_of_join) ).
fof(f28673,plain,
join(sF8,a) = join(b,join(a,sF5)),
inference(superposition,[],[f1251,f6825]) ).
fof(f6825,plain,
join(a,sF5) = join(a,sF7),
inference(forward_demodulation,[],[f6824,f782]) ).
fof(f782,plain,
sF7 = join(sF5,sF7),
inference(forward_demodulation,[],[f780,f6]) ).
fof(f780,plain,
sF7 = join(sF7,sF5),
inference(superposition,[],[f43,f769]) ).
fof(f769,plain,
sF5 = meet(b,sF7),
inference(forward_demodulation,[],[f752,f172]) ).
fof(f172,plain,
sF5 = meet(sF5,sF6),
inference(superposition,[],[f48,f17]) ).
fof(f752,plain,
meet(sF5,sF6) = meet(b,sF7),
inference(superposition,[],[f80,f18]) ).
fof(f80,plain,
! [X19] : meet(b,meet(c,X19)) = meet(sF5,X19),
inference(superposition,[],[f7,f16]) ).
fof(f6824,plain,
join(a,sF5) = join(a,join(sF5,sF7)),
inference(forward_demodulation,[],[f6823,f132]) ).
fof(f6823,plain,
join(a,sF5) = join(sF5,join(sF7,a)),
inference(forward_demodulation,[],[f6822,f132]) ).
fof(f6822,plain,
join(a,sF5) = join(sF7,join(a,sF5)),
inference(forward_demodulation,[],[f6808,f6]) ).
fof(f6808,plain,
join(a,sF5) = join(join(a,sF5),sF7),
inference(superposition,[],[f43,f6754]) ).
fof(f6754,plain,
sF7 = meet(sF7,join(a,sF5)),
inference(superposition,[],[f841,f6690]) ).
fof(f6690,plain,
join(a,sF5) = join(a,sF6),
inference(superposition,[],[f114,f17]) ).
fof(f114,plain,
! [X20] : join(a,join(sF4,X20)) = join(a,X20),
inference(superposition,[],[f8,f31]) ).
fof(f31,plain,
a = join(a,sF4),
inference(superposition,[],[f4,f15]) ).
fof(f841,plain,
! [X4] : sF7 = meet(sF7,join(X4,sF6)),
inference(forward_demodulation,[],[f828,f18]) ).
fof(f828,plain,
! [X4] : meet(c,sF6) = meet(sF7,join(X4,sF6)),
inference(superposition,[],[f84,f48]) ).
fof(f84,plain,
! [X23] : meet(c,meet(sF6,X23)) = meet(sF7,X23),
inference(superposition,[],[f7,f18]) ).
fof(f1251,plain,
! [X0] : join(sF8,X0) = join(b,join(X0,sF7)),
inference(superposition,[],[f120,f6]) ).
fof(f120,plain,
! [X26] : join(b,join(sF7,X26)) = join(sF8,X26),
inference(superposition,[],[f8,f19]) ).
fof(f7469,plain,
! [X103] : sF7 = meet(sF7,join(X103,sF8)),
inference(superposition,[],[f155,f19]) ).
fof(f155,plain,
! [X10,X11,X9] : meet(X11,join(X9,join(X10,X11))) = X11,
inference(superposition,[],[f48,f8]) ).
fof(f11830,plain,
! [X3,X4,X5] : meet(X3,join(X4,meet(X5,join(X3,X4)))) = meet(X3,join(X4,meet(X5,X3))),
inference(superposition,[],[f11681,f43]) ).
fof(f11681,plain,
! [X3,X6,X4,X5] : meet(X5,join(X3,meet(X6,join(X5,meet(X3,X4))))) = meet(X5,join(X3,meet(X6,join(X5,X3)))),
inference(forward_demodulation,[],[f201,f200]) ).
fof(f200,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,X0)))) = meet(X1,join(X0,meet(X2,join(X1,meet(X2,X0))))),
inference(superposition,[],[f9,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',idempotence_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X2,join(X1,X3)))))),
file('/export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127',equation_H50) ).
fof(f201,plain,
! [X3,X6,X4,X5] : meet(X5,join(X3,meet(X6,join(X5,meet(X3,X4))))) = meet(X5,join(X3,meet(X6,join(X5,meet(X6,X3))))),
inference(superposition,[],[f9,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT157-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu Aug 24 08:30:56 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.30 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Q82vhGO4Q0/Vampire---4.8_28127
% 0.11/0.30 % (28269)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34 % (28273)ott+10_5:4_av=off:bd=off:drc=off:fde=unused:sims=off_758 on Vampire---4 for (758ds/0Mi)
% 0.15/0.34 % (28276)ott+10_4:5_av=off:bd=preordered:drc=off:fde=unused:nwc=1.3:sims=off:sp=scramble:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.15/0.34 % (28270)ott+10_16_av=off:drc=off:fde=none:nwc=1.7:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.15/0.35 % (28275)ott+10_4:1_av=off:drc=off:sos=on:tgt=ground_592 on Vampire---4 for (592ds/0Mi)
% 0.15/0.35 % (28274)ott+10_2:7_av=off:bd=preordered:drc=off:fde=unused:nwc=1.1:sims=off_611 on Vampire---4 for (611ds/0Mi)
% 0.15/0.35 % (28275)Refutation not found, incomplete strategy% (28275)------------------------------
% 0.15/0.35 % (28275)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.35 % (28275)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.35 % (28275)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.35
% 0.15/0.35 % (28275)Memory used [KB]: 895
% 0.15/0.35 % (28275)Time elapsed: 0.002 s
% 0.15/0.35 % (28275)------------------------------
% 0.15/0.35 % (28275)------------------------------
% 0.15/0.35 % (28272)dis+10_6_av=off:bd=off:drc=off:fde=none:nwc=1.2:sims=off:tgt=full_978 on Vampire---4 for (978ds/0Mi)
% 0.15/0.35 % (28271)lrs+10_15_av=off:bd=preordered:drc=off:nwc=1.1:sp=reverse_frequency:tgt=ground:stl=188_1140 on Vampire---4 for (1140ds/0Mi)
% 0.15/0.39 % (28277)lrs+10_2:1_av=off:bd=off:drc=off:fde=none:sims=off:sp=reverse_weighted_frequency:to=lpo:tgt=ground:stl=125_365 on Vampire---4 for (365ds/0Mi)
% 56.34/8.35 % (28272)First to succeed.
% 56.34/8.37 % (28272)Refutation found. Thanks to Tanya!
% 56.34/8.37 % SZS status Unsatisfiable for Vampire---4
% 56.34/8.37 % SZS output start Proof for Vampire---4
% See solution above
% 56.34/8.37 % (28272)------------------------------
% 56.34/8.37 % (28272)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 56.34/8.37 % (28272)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 56.34/8.37 % (28272)Termination reason: Refutation
% 56.34/8.37
% 56.34/8.37 % (28272)Memory used [KB]: 497134
% 56.34/8.37 % (28272)Time elapsed: 8.006 s
% 56.34/8.37 % (28272)------------------------------
% 56.34/8.37 % (28272)------------------------------
% 56.34/8.37 % (28269)Success in time 8.049 s
% 56.34/8.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------