TSTP Solution File: LAT038-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n014.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 06:29:18 EDT 2023
% Result : Unsatisfiable 0.22s 0.65s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 56 (; 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6863,plain,
$false,
inference(subsumption_resolution,[],[f6862,f20]) ).
fof(f20,plain,
sF0 != sF1,
inference(definition_folding,[],[f17,f19,f18]) ).
fof(f18,plain,
f(aa,dd) = sF0,
introduced(function_definition,[]) ).
fof(f19,plain,
f(cc,dd) = sF1,
introduced(function_definition,[]) ).
fof(f17,axiom,
f(aa,dd) != f(cc,dd),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',rhs) ).
fof(f6862,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f6861,f43]) ).
fof(f43,plain,
sF1 = meet(sF1,join(sF0,f(bb,dd))),
inference(superposition,[],[f3,f35]) ).
fof(f35,plain,
join(sF1,f(bb,dd)) = join(sF0,f(bb,dd)),
inference(forward_demodulation,[],[f34,f18]) ).
fof(f34,plain,
join(sF1,f(bb,dd)) = join(f(aa,dd),f(bb,dd)),
inference(forward_demodulation,[],[f33,f11]) ).
fof(f11,axiom,
! [X3,X4,X5] : f(join(X3,X4),X5) = join(f(X3,X5),f(X4,X5)),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',f_on_left_join) ).
fof(f33,plain,
f(join(aa,bb),dd) = join(sF1,f(bb,dd)),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',commutativity_of_join) ).
fof(f32,plain,
f(join(aa,bb),dd) = join(f(bb,dd),sF1),
inference(forward_demodulation,[],[f31,f19]) ).
fof(f31,plain,
f(join(aa,bb),dd) = join(f(bb,dd),f(cc,dd)),
inference(backward_demodulation,[],[f25,f11]) ).
fof(f25,plain,
f(join(aa,bb),dd) = f(join(bb,cc),dd),
inference(backward_demodulation,[],[f15,f6]) ).
fof(f15,axiom,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',lhs1) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',absorption1) ).
fof(f6861,plain,
sF0 = meet(sF1,join(sF0,f(bb,dd))),
inference(forward_demodulation,[],[f6860,f3]) ).
fof(f6860,plain,
meet(sF1,join(sF0,f(bb,dd))) = meet(sF0,join(sF0,f(bb,dd))),
inference(forward_demodulation,[],[f6859,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',idempotence_of_join) ).
fof(f6859,plain,
meet(sF1,join(sF0,f(bb,dd))) = meet(join(sF0,sF0),join(sF0,f(bb,dd))),
inference(forward_demodulation,[],[f6858,f220]) ).
fof(f220,plain,
! [X24] : meet(join(X24,sF1),join(X24,f(bb,dd))) = meet(join(X24,sF0),join(X24,f(bb,dd))),
inference(forward_demodulation,[],[f199,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',dist_join) ).
fof(f199,plain,
! [X24] : meet(join(X24,sF1),join(X24,f(bb,dd))) = join(X24,meet(sF0,f(bb,dd))),
inference(superposition,[],[f9,f23]) ).
fof(f23,plain,
meet(sF1,f(bb,dd)) = meet(sF0,f(bb,dd)),
inference(forward_demodulation,[],[f22,f18]) ).
fof(f22,plain,
meet(f(aa,dd),f(bb,dd)) = meet(sF1,f(bb,dd)),
inference(forward_demodulation,[],[f16,f19]) ).
fof(f16,axiom,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',lhs2) ).
fof(f6858,plain,
meet(sF1,join(sF0,f(bb,dd))) = meet(join(sF0,sF1),join(sF0,f(bb,dd))),
inference(forward_demodulation,[],[f6857,f35]) ).
fof(f6857,plain,
meet(sF1,join(sF1,f(bb,dd))) = meet(join(sF0,sF1),join(sF1,f(bb,dd))),
inference(forward_demodulation,[],[f6823,f1250]) ).
fof(f1250,plain,
! [X26,X24,X25] : meet(join(X25,X26),X24) = meet(join(X26,X25),X24),
inference(superposition,[],[f709,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',commutativity_of_meet) ).
fof(f709,plain,
! [X21,X22,X23] : meet(join(X22,X23),X21) = meet(X21,join(X23,X22)),
inference(superposition,[],[f674,f5]) ).
fof(f674,plain,
! [X2,X3,X4] : meet(X2,join(X3,X4)) = meet(X2,join(X4,X3)),
inference(forward_demodulation,[],[f673,f46]) ).
fof(f46,plain,
! [X6,X7,X5] : meet(X5,meet(join(X6,X5),X7)) = meet(X5,X7),
inference(superposition,[],[f7,f37]) ).
fof(f37,plain,
! [X2,X1] : meet(X1,join(X2,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',associativity_of_meet) ).
fof(f673,plain,
! [X2,X3,X4] : meet(X2,join(X3,X4)) = meet(X2,meet(join(X4,X2),join(X4,X3))),
inference(forward_demodulation,[],[f627,f9]) ).
fof(f627,plain,
! [X2,X3,X4] : meet(X2,join(X3,X4)) = meet(X2,join(X4,meet(X2,X3))),
inference(superposition,[],[f28,f6]) ).
fof(f28,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(backward_demodulation,[],[f27,f3]) ).
fof(f27,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(X0,join(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f26,f2]) ).
fof(f26,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(join(X0,X0),join(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f24,f9]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,meet(X0,X1)),join(meet(X0,X1),X2)),
inference(backward_demodulation,[],[f21,f6]) ).
fof(f21,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(meet(X0,X1),X0),join(meet(X0,X1),X2)),
inference(backward_demodulation,[],[f10,f9]) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942',dist_meet) ).
fof(f6823,plain,
meet(sF1,join(sF1,f(bb,dd))) = meet(join(sF1,sF0),join(sF1,f(bb,dd))),
inference(superposition,[],[f220,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 06:58:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.iyL0MyiajI/Vampire---4.8_24942
% 0.15/0.37 % (25082)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (25083)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.43 % (25086)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.43 % (25084)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.43 % (25085)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.43 % (25087)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.22/0.43 % (25088)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.22/0.43 % (25089)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 0.22/0.65 % (25087)First to succeed.
% 0.22/0.65 % (25087)Refutation found. Thanks to Tanya!
% 0.22/0.65 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.66 % (25087)------------------------------
% 0.22/0.66 % (25087)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.66 % (25087)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.66 % (25087)Termination reason: Refutation
% 0.22/0.66
% 0.22/0.66 % (25087)Memory used [KB]: 10362
% 0.22/0.66 % (25087)Time elapsed: 0.229 s
% 0.22/0.66 % (25087)------------------------------
% 0.22/0.66 % (25087)------------------------------
% 0.22/0.66 % (25082)Success in time 0.288 s
% 0.22/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------