TSTP Solution File: LAT394-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT394-1 : TPTP v8.2.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 23:44:32 EDT 2024
% Result : Unsatisfiable 1.58s 0.62s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9238,plain,
$false,
inference(unit_resulting_resolution,[],[f5,f8948]) ).
fof(f8948,plain,
! [X0,X1] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(superposition,[],[f8630,f47]) ).
fof(f47,plain,
! [X1] : f(f(X1,X1),f(X1,X1)) = X1,
inference(superposition,[],[f29,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f29,plain,
! [X2,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
inference(superposition,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,X2)) = f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)),
inference(superposition,[],[f9,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X0,X1),f(X0,X1)),f(X0,X1))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f8630,plain,
! [X0,X1] : f(f(X1,X1),X1) = f(X0,f(X0,X0)),
inference(superposition,[],[f8420,f47]) ).
fof(f8420,plain,
! [X0,X1] : f(f(X0,X0),X0) = f(f(X1,X1),X1),
inference(superposition,[],[f5353,f5180]) ).
fof(f5180,plain,
! [X2,X0,X1] : f(f(X1,X0),f(X0,f(f(X2,X2),X2))) = X0,
inference(superposition,[],[f5139,f479]) ).
fof(f479,plain,
! [X0,X1] : f(X0,X1) = f(X1,f(f(X0,X1),f(X0,X1))),
inference(forward_demodulation,[],[f460,f97]) ).
fof(f97,plain,
! [X0] : f(X0,X0) = f(X0,f(f(X0,f(f(X0,X0),X0)),X0)),
inference(superposition,[],[f47,f60]) ).
fof(f60,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
inference(superposition,[],[f1,f47]) ).
fof(f460,plain,
! [X0,X1] : f(X0,X1) = f(X1,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X0,X1),f(X0,X1)),f(X0,X1))),f(X0,X1)))),
inference(superposition,[],[f60,f366]) ).
fof(f366,plain,
! [X0,X1] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[],[f102,f60]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1)) = X1,
inference(superposition,[],[f88,f1]) ).
fof(f88,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f9,f60]) ).
fof(f5139,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f5138,f366]) ).
fof(f5138,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X0)),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f5054,f541]) ).
fof(f541,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(X1,f(X0,X0))),
inference(forward_demodulation,[],[f480,f97]) ).
fof(f480,plain,
! [X0,X1] : f(X0,f(f(X0,f(f(X0,X0),X0)),X0)) = f(X0,f(X1,f(X0,f(f(X0,f(f(X0,X0),X0)),X0)))),
inference(superposition,[],[f466,f60]) ).
fof(f466,plain,
! [X0,X1] : f(f(X1,X1),f(X0,X1)) = X1,
inference(superposition,[],[f192,f366]) ).
fof(f192,plain,
! [X0,X1] : f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),X0),
inference(superposition,[],[f184,f60]) ).
fof(f184,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(forward_demodulation,[],[f164,f103]) ).
fof(f103,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(superposition,[],[f88,f60]) ).
fof(f164,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[],[f15,f154]) ).
fof(f154,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(forward_demodulation,[],[f131,f97]) ).
fof(f131,plain,
! [X0,X1] : f(X0,f(f(X0,f(f(X0,X0),X0)),X0)) = f(f(f(X0,f(f(X0,f(f(X0,X0),X0)),X0)),X1),X0),
inference(superposition,[],[f103,f60]) ).
fof(f5054,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,f(X0,f(X0,X0)))),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[],[f1,f4813]) ).
fof(f4813,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,f(X0,X0)))),
inference(superposition,[],[f4653,f184]) ).
fof(f4653,plain,
! [X0,X1] : f(f(f(X0,X0),X1),f(X1,f(X0,f(X0,X0)))) = X1,
inference(superposition,[],[f4454,f47]) ).
fof(f4454,plain,
! [X0,X1] : f(f(X1,X0),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[],[f87,f366]) ).
fof(f87,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[],[f1,f60]) ).
fof(f5353,plain,
! [X2,X0,X1] : f(f(X0,f(f(X1,X1),X1)),f(X2,X0)) = X0,
inference(superposition,[],[f541,f5139]) ).
fof(f5,axiom,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT394-1 : TPTP v8.2.0. Released v5.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.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 : Sun May 19 19:28:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (12610)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (12614)WARNING: value z3 for option sas not known
% 0.21/0.37 % (12615)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (12612)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (12614)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)
% 0.21/0.37 % (12616)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)
% 0.21/0.37 % (12613)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (12617)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (12618)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)
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.41 TRYING [4]
% 1.58/0.59 TRYING [5]
% 1.58/0.62 % (12618)First to succeed.
% 1.58/0.62 % (12618)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12610"
% 1.58/0.62 % (12618)Refutation found. Thanks to Tanya!
% 1.58/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.62 % (12618)------------------------------
% 1.58/0.62 % (12618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/0.62 % (12618)Termination reason: Refutation
% 1.58/0.62
% 1.58/0.62 % (12618)Memory used [KB]: 3740
% 1.58/0.62 % (12618)Time elapsed: 0.241 s
% 1.58/0.62 % (12618)Instructions burned: 544 (million)
% 1.58/0.62 % (12610)Success in time 0.256 s
%------------------------------------------------------------------------------