TSTP Solution File: COL080-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL080-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 04:45:50 EDT 2024
% Result : Unsatisfiable 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(unit_resulting_resolution,[],[f5,f369,f9]) ).
fof(f9,plain,
! [X0,X1] :
( apply(X1,n(k(X0),X1)) != X0
| k(X0) = X1 ),
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f3,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f369,plain,
! [X0,X1] : apply(apply(abstraction,apply(abstraction,k(X0))),X1) = X0,
inference(unit_resulting_resolution,[],[f248,f3]) ).
fof(f248,plain,
! [X2,X0,X1] : apply(X0,X1) = apply(apply(apply(abstraction,apply(abstraction,k(X0))),X2),X1),
inference(forward_demodulation,[],[f237,f1]) ).
fof(f237,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(abstraction,k(X0))),X2),X1) = apply(X0,apply(k(X1),apply(X2,X1))),
inference(superposition,[],[f37,f2]) ).
fof(f2,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(f37,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,k(X0)),X2),X1) = apply(X0,apply(X2,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f5,axiom,
k(b) != apply(abstraction,apply(abstraction,k(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : COL080-2 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 18:28:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (12952)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (12955)WARNING: value z3 for option sas not known
% 0.11/0.34 % (12955)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)
% 0.11/0.34 % (12954)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (12958)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)
% 0.11/0.34 % (12959)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)
% 0.11/0.34 % (12957)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)
% 0.11/0.34 % (12953)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (12956)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (12959)First to succeed.
% 0.11/0.35 % (12959)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12952"
% 0.11/0.35 % (12959)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (12959)------------------------------
% 0.11/0.35 % (12959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (12959)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (12959)Memory used [KB]: 864
% 0.11/0.35 % (12959)Time elapsed: 0.014 s
% 0.11/0.35 % (12959)Instructions burned: 25 (million)
% 0.11/0.35 % (12952)Success in time 0.027 s
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