TSTP Solution File: COL077-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL077-1 : 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 : n002.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 04:45:49 EDT 2024
% Result : Unsatisfiable 23.05s 3.61s
% Output : Refutation 23.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 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; 2 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45376,plain,
$false,
inference(trivial_inequality_removal,[],[f45323]) ).
fof(f45323,plain,
identity != identity,
inference(superposition,[],[f44320,f45241]) ).
fof(f45241,plain,
! [X0,X1] : identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1),
inference(trivial_inequality_removal,[],[f45228]) ).
fof(f45228,plain,
! [X0,X1] :
( n(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1),identity) != n(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1),identity)
| identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1) ),
inference(superposition,[],[f124,f44687]) ).
fof(f44687,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X2),X1) = X1,
inference(forward_demodulation,[],[f44151,f1]) ).
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f44151,plain,
! [X2,X0,X1] : apply(k(X1),apply(apply(X0,k(X1)),apply(X2,X1))) = apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X2),X1),
inference(superposition,[],[f824,f6]) ).
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(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(f124,plain,
! [X0] :
( n(X0,identity) != apply(X0,n(X0,identity))
| identity = X0 ),
inference(superposition,[],[f9,f11]) ).
fof(f11,axiom,
! [X0] : apply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_definition) ).
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(f44320,plain,
identity != apply(apply(abstraction,apply(apply(abstraction,abstraction),abstraction)),abstraction),
inference(superposition,[],[f12,f824]) ).
fof(f12,axiom,
identity != apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),abstraction),abstraction),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC1a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : COL077-1 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:53:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (19242)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (19246)WARNING: value z3 for option sas not known
% 0.14/0.32 % (19250)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)
% 0.14/0.32 % (19249)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)
% 0.14/0.32 % (19246)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)
% 0.14/0.32 % (19247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (19245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (19244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (19248)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [3]
% 0.14/0.35 TRYING [5]
% 0.14/0.36 TRYING [4]
% 0.14/0.39 TRYING [6]
% 0.14/0.44 TRYING [5]
% 0.14/0.51 TRYING [7]
% 3.09/0.76 TRYING [8]
% 3.91/0.89 TRYING [6]
% 6.52/1.25 TRYING [9]
% 7.45/1.42 TRYING [1]
% 7.45/1.42 TRYING [2]
% 7.45/1.42 TRYING [3]
% 7.45/1.43 TRYING [4]
% 7.95/1.44 TRYING [5]
% 8.20/1.50 TRYING [6]
% 8.81/1.63 TRYING [7]
% 10.80/1.91 TRYING [8]
% 12.98/2.22 TRYING [10]
% 14.99/2.48 TRYING [9]
% 21.71/3.42 TRYING [7]
% 22.19/3.56 TRYING [10]
% 22.86/3.59 % (19249)First to succeed.
% 23.05/3.61 % (19249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19242"
% 23.05/3.61 % (19249)Refutation found. Thanks to Tanya!
% 23.05/3.61 % SZS status Unsatisfiable for theBenchmark
% 23.05/3.61 % SZS output start Proof for theBenchmark
% See solution above
% 23.05/3.61 % (19249)------------------------------
% 23.05/3.61 % (19249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 23.05/3.61 % (19249)Termination reason: Refutation
% 23.05/3.61
% 23.05/3.61 % (19249)Memory used [KB]: 38120
% 23.05/3.61 % (19249)Time elapsed: 3.289 s
% 23.05/3.61 % (19249)Instructions burned: 5652 (million)
% 23.05/3.61 % (19242)Success in time 3.3 s
%------------------------------------------------------------------------------