TSTP Solution File: LAT168-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Mon May 20 23:37:40 EDT 2024
% Result : Unsatisfiable 3.86s 0.98s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10212,plain,
$false,
inference(trivial_inequality_removal,[],[f10211]) ).
fof(f10211,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(superposition,[],[f10095,f56]) ).
fof(f56,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f10095,plain,
meet(a,join(b,c)) != meet(a,meet(join(a,b),join(b,c))),
inference(forward_demodulation,[],[f10094,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f10094,plain,
meet(a,join(b,c)) != meet(a,meet(join(b,c),join(a,b))),
inference(backward_demodulation,[],[f10,f9877]) ).
fof(f9877,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X1,X0)) = join(X0,meet(join(X1,X0),join(X2,meet(X1,X0)))),
inference(superposition,[],[f8855,f5]) ).
fof(f8855,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X1,X0)) = join(X0,meet(join(X1,X0),join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f8832,f5]) ).
fof(f8832,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X1,X0)) = join(X0,meet(join(X2,meet(X0,X1)),join(X1,X0))),
inference(backward_demodulation,[],[f1214,f8645]) ).
fof(f8645,plain,
! [X2,X3,X0,X1] : meet(join(X1,meet(X0,X2)),X3) = meet(join(X0,X1),meet(X3,join(X1,meet(X0,X2)))),
inference(superposition,[],[f3152,f1532]) ).
fof(f1532,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(X2,meet(X0,X1))),
inference(superposition,[],[f251,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f251,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f3152,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X0),meet(X2,X0)),
inference(superposition,[],[f949,f17]) ).
fof(f17,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f949,plain,
! [X2,X0,X1] : meet(meet(X1,X2),X0) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f66,f5]) ).
fof(f66,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f7,f5]) ).
fof(f1214,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X1,X0)) = join(X0,meet(join(X0,X2),meet(join(X1,X0),join(X2,meet(X0,X1))))),
inference(superposition,[],[f9,f6]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),meet(join(X0,X2),join(X1,meet(X0,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H18_dual) ).
fof(f10,axiom,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H58) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.40 % Computer : n013.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8042.1875MB
% 0.16/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Sun May 19 20:16:53 EDT 2024
% 0.16/0.40 % CPUTime :
% 0.16/0.41 % (7084)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.42 % (7087)WARNING: value z3 for option sas not known
% 0.26/0.42 % (7087)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.26/0.42 % (7085)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.26/0.42 % (7086)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.26/0.42 % (7088)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.26/0.42 % (7089)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.26/0.42 % (7091)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.26/0.42 % (7090)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.26/0.43 TRYING [1]
% 0.26/0.43 TRYING [2]
% 0.26/0.43 TRYING [3]
% 0.26/0.43 TRYING [1]
% 0.26/0.43 TRYING [2]
% 0.26/0.44 TRYING [3]
% 0.26/0.44 TRYING [4]
% 0.26/0.48 TRYING [4]
% 0.26/0.49 TRYING [5]
% 1.66/0.63 TRYING [5]
% 1.76/0.63 TRYING [6]
% 3.86/0.98 % (7090)First to succeed.
% 3.86/0.98 % (7090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7084"
% 3.86/0.98 % (7090)Refutation found. Thanks to Tanya!
% 3.86/0.98 % SZS status Unsatisfiable for theBenchmark
% 3.86/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/0.98 % (7090)------------------------------
% 3.86/0.98 % (7090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.86/0.98 % (7090)Termination reason: Refutation
% 3.86/0.98
% 3.86/0.98 % (7090)Memory used [KB]: 6592
% 3.86/0.98 % (7090)Time elapsed: 0.560 s
% 3.86/0.98 % (7090)Instructions burned: 1107 (million)
% 3.86/0.98 % (7084)Success in time 0.565 s
%------------------------------------------------------------------------------