TSTP Solution File: LAT029-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue Apr 30 13:20:28 EDT 2024
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 68 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 20 ~; 12 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3577,plain,
$false,
inference(trivial_inequality_removal,[],[f3576]) ).
fof(f3576,plain,
meet(a,b) != meet(a,b),
inference(superposition,[],[f3574,f2550]) ).
fof(f2550,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f1980,f1130]) ).
fof(f1130,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f14,f1107]) ).
fof(f1107,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f110,f1051]) ).
fof(f1051,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f967,f509]) ).
fof(f509,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f164,f499]) ).
fof(f499,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f497,f110]) ).
fof(f497,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f197,f494]) ).
fof(f494,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f491,f27]) ).
fof(f27,plain,
! [X3,X0] : join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[],[f5,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f491,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(backward_demodulation,[],[f311,f466]) ).
fof(f466,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f91,f164]) ).
fof(f91,plain,
! [X2,X0] : meet(meet(X0,join(X2,X0)),X0) = X0,
inference(superposition,[],[f4,f66]) ).
fof(f66,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f2,f65]) ).
fof(f65,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f56,f4]) ).
fof(f56,plain,
! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(superposition,[],[f37,f4]) ).
fof(f37,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f28,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f28,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f311,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),meet(join(meet(X0,join(X1,X0)),X0),X0)),
inference(forward_demodulation,[],[f297,f164]) ).
fof(f297,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(join(meet(X0,join(X1,X0)),X0),X0)),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
! [X0,X1] : join(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[],[f198,f164]) ).
fof(f198,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(superposition,[],[f3,f91]) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f197,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),
inference(superposition,[],[f1,f91]) ).
fof(f164,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f124,f27]) ).
fof(f124,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f121,f110]) ).
fof(f121,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(join(X0,X1),X0)),
inference(backward_demodulation,[],[f43,f110]) ).
fof(f43,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)),
inference(superposition,[],[f27,f28]) ).
fof(f967,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f686,f107]) ).
fof(f107,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f106,f82]) ).
fof(f82,plain,
! [X0] : join(meet(X0,join(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f71,f65]) ).
fof(f71,plain,
! [X0] : join(meet(X0,join(X0,X0)),meet(X0,X0)) = X0,
inference(backward_demodulation,[],[f25,f65]) ).
fof(f25,plain,
! [X0] : meet(X0,X0) = join(meet(meet(X0,X0),join(X0,X0)),meet(meet(X0,X0),X0)),
inference(superposition,[],[f1,f21]) ).
fof(f21,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f2,f4]) ).
fof(f106,plain,
! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),X0),
inference(backward_demodulation,[],[f70,f104]) ).
fof(f104,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f65]) ).
fof(f70,plain,
! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),
inference(backward_demodulation,[],[f24,f65]) ).
fof(f24,plain,
! [X0] : join(X0,X0) = join(meet(meet(X0,X0),join(X0,X0)),meet(join(X0,X0),X0)),
inference(superposition,[],[f3,f21]) ).
fof(f686,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f1,f511]) ).
fof(f511,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f462,f499]) ).
fof(f462,plain,
! [X0,X1] : join(X0,join(X0,X1)) = meet(join(X0,X1),join(X0,join(X0,X1))),
inference(superposition,[],[f164,f124]) ).
fof(f110,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f66,f107]) ).
fof(f14,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f1980,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f1051,f1130]) ).
fof(f3574,plain,
meet(b,a) != meet(a,b),
inference(trivial_inequality_removal,[],[f3513]) ).
fof(f3513,plain,
( join(a,b) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(superposition,[],[f118,f3353]) ).
fof(f3353,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f3133,f3130]) ).
fof(f3130,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f110,f2180]) ).
fof(f2180,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f2137,f1107]) ).
fof(f2137,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,X1)) = join(join(X1,X0),meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f26,f1296]) ).
fof(f1296,plain,
! [X2,X0,X1] : meet(X0,meet(join(X2,X0),join(X0,X1))) = X0,
inference(superposition,[],[f1091,f1066]) ).
fof(f1066,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f110,f967]) ).
fof(f1091,plain,
! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
inference(superposition,[],[f1051,f627]) ).
fof(f627,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(superposition,[],[f13,f588]) ).
fof(f588,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f162,f499]) ).
fof(f162,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f124,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f1]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(join(X0,meet(X3,meet(join(X0,X1),join(X2,X0)))),meet(join(X0,X1),join(X2,X0))),
inference(superposition,[],[f5,f4]) ).
fof(f3133,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f173,f2180]) ).
fof(f173,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(backward_demodulation,[],[f113,f162]) ).
fof(f113,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f81,f107]) ).
fof(f81,plain,
! [X0,X1] : join(meet(X0,meet(X1,join(X0,X0))),X0) = X0,
inference(forward_demodulation,[],[f67,f65]) ).
fof(f67,plain,
! [X0,X1] : join(meet(X0,meet(X1,join(X0,X0))),meet(X0,X0)) = X0,
inference(backward_demodulation,[],[f8,f65]) ).
fof(f8,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(superposition,[],[f1,f2]) ).
fof(f118,plain,
( join(b,a) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( a != a
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(backward_demodulation,[],[f80,f107]) ).
fof(f80,plain,
( a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(trivial_inequality_removal,[],[f79]) ).
fof(f79,plain,
( a != a
| a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(backward_demodulation,[],[f6,f65]) ).
fof(f6,axiom,
( a != meet(a,a)
| a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 21:37:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (4376)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (4381)WARNING: value z3 for option sas not known
% 0.22/0.38 % (4379)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (4381)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)
% 0.22/0.38 % (4382)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (4380)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (4383)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)
% 0.22/0.38 % (4385)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)
% 0.22/0.38 % (4384)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [3]
% 0.22/0.39 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 TRYING [6]
% 0.22/0.47 % (4384)First to succeed.
% 0.22/0.48 % (4384)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (4384)------------------------------
% 0.22/0.48 % (4384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.48 % (4384)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (4384)Memory used [KB]: 1855
% 0.22/0.48 % (4384)Time elapsed: 0.102 s
% 0.22/0.48 % (4384)Instructions burned: 181 (million)
% 0.22/0.48 % (4384)------------------------------
% 0.22/0.48 % (4384)------------------------------
% 0.22/0.48 % (4376)Success in time 0.119 s
%------------------------------------------------------------------------------