TSTP Solution File: COL081-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL081-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 19:06:22 EDT 2024
% Result : Unsatisfiable 26.58s 4.18s
% Output : Refutation 26.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47764,plain,
$false,
inference(trivial_inequality_removal,[],[f47725]) ).
fof(f47725,plain,
k(k(b)) != k(k(b)),
inference(superposition,[],[f12,f47460]) ).
fof(f47460,plain,
! [X0] : k(k(X0)) = apply(abstraction,k(k(X0))),
inference(equality_resolution,[],[f45679]) ).
fof(f45679,plain,
! [X0,X1] :
( k(X0) != X1
| k(X1) = apply(abstraction,k(k(X0))) ),
inference(superposition,[],[f120,f45551]) ).
fof(f45551,plain,
! [X0,X1] : k(X0) = apply(apply(abstraction,k(k(X0))),X1),
inference(equality_resolution,[],[f45084]) ).
fof(f45084,plain,
! [X2,X0,X1] :
( X0 != X2
| k(X2) = apply(apply(abstraction,k(k(X0))),X1) ),
inference(superposition,[],[f120,f44874]) ).
fof(f44874,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,k(k(X1))),X0),X2) = X1,
inference(superposition,[],[f44105,f271]) ).
fof(f271,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,X2),k(X0)),X1) = apply(apply(X2,k(X1)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f6,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
fof(f44105,plain,
! [X2,X0,X1] : apply(apply(apply(apply(abstraction,abstraction),X1),k(X0)),X2) = X0,
inference(superposition,[],[f824,f1]) ).
fof(f824,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X0),X2)) = apply(apply(apply(apply(abstraction,abstraction),X1),X0),X2),
inference(superposition,[],[f261,f6]) ).
fof(f261,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,k(X0)),X2),X1) = apply(X0,apply(X2,X1)),
inference(superposition,[],[f6,f1]) ).
fof(f120,plain,
! [X0,X1] :
( apply(X1,n(X1,k(X0))) != X0
| k(X0) = X1 ),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f12,axiom,
k(k(b)) != apply(abstraction,k(k(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL081-1 : TPTP v8.2.0. Released v1.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 13:09:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (30778)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (30781)WARNING: value z3 for option sas not known
% 0.16/0.40 % (30779)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 % (30780)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40 % (30782)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 % (30785)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)
% 0.16/0.40 % (30783)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)
% 0.16/0.40 % (30784)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)
% 0.16/0.40 % (30781)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)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [3]
% 0.16/0.41 TRYING [2]
% 0.16/0.42 TRYING [4]
% 0.16/0.42 TRYING [3]
% 0.23/0.44 TRYING [5]
% 0.23/0.44 TRYING [4]
% 0.23/0.49 TRYING [6]
% 0.23/0.55 TRYING [5]
% 1.66/0.62 TRYING [7]
% 3.45/0.87 TRYING [8]
% 6.01/1.22 TRYING [6]
% 7.28/1.45 TRYING [9]
% 7.78/1.50 TRYING [1]
% 7.78/1.50 TRYING [2]
% 7.78/1.50 TRYING [3]
% 8.08/1.51 TRYING [4]
% 8.08/1.52 TRYING [5]
% 8.36/1.58 TRYING [6]
% 9.50/1.71 TRYING [7]
% 11.45/2.03 TRYING [8]
% 16.37/2.69 TRYING [9]
% 20.12/3.29 TRYING [10]
% 26.26/4.15 % (30784)First to succeed.
% 26.58/4.17 % (30784)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30778"
% 26.58/4.18 % (30784)Refutation found. Thanks to Tanya!
% 26.58/4.18 % SZS status Unsatisfiable for theBenchmark
% 26.58/4.18 % SZS output start Proof for theBenchmark
% See solution above
% 26.58/4.18 % (30784)------------------------------
% 26.58/4.18 % (30784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 26.58/4.18 % (30784)Termination reason: Refutation
% 26.58/4.18
% 26.58/4.18 % (30784)Memory used [KB]: 39263
% 26.58/4.18 % (30784)Time elapsed: 3.764 s
% 26.58/4.18 % (30784)Instructions burned: 5867 (million)
% 26.58/4.18 % (30778)Success in time 3.799 s
%------------------------------------------------------------------------------