TSTP Solution File: COL006-4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 04:45:32 EDT 2024
% Result : Unsatisfiable 155.93s 22.57s
% Output : Refutation 155.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 21 unt; 0 def)
% Number of atoms : 25 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105685,plain,
$false,
inference(subsumption_resolution,[],[f105684,f16969]) ).
fof(f16969,plain,
! [X0,X1] : apply(apply(apply(s,apply(apply(s,s),apply(s,k))),X1),apply(s,apply(k,X0))) = apply(X0,apply(apply(apply(s,X1),X1),apply(s,apply(k,X0)))),
inference(forward_demodulation,[],[f16481,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
fof(f16481,plain,
! [X0,X1] : apply(apply(apply(s,apply(apply(s,s),apply(s,k))),X1),apply(s,apply(k,X0))) = apply(X0,apply(apply(X1,apply(s,apply(k,X0))),apply(X1,apply(s,apply(k,X0))))),
inference(superposition,[],[f106,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : apply(apply(apply(s,apply(apply(s,X0),X1)),X3),X2) = apply(apply(apply(X0,X2),apply(X1,X2)),apply(X3,X2)),
inference(superposition,[],[f1,f1]) ).
fof(f106,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(s,apply(s,apply(k,X0))),apply(apply(s,k),X2)),X1),
inference(superposition,[],[f21,f7]) ).
fof(f7,plain,
! [X2,X0,X1] : apply(X0,apply(X2,X1)) = apply(apply(apply(s,apply(k,X0)),X2),X1),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
fof(f21,plain,
! [X2,X0,X1] : apply(apply(apply(s,X2),apply(apply(s,k),X0)),X1) = apply(apply(X2,X1),X1),
inference(superposition,[],[f1,f13]) ).
fof(f13,plain,
! [X0,X1] : apply(apply(apply(s,k),X1),X0) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f105684,plain,
apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f105683,f2484]) ).
fof(f2484,plain,
! [X2,X0,X1] : apply(apply(apply(apply(s,s),apply(apply(s,k),X0)),X1),X2) = apply(apply(apply(s,X1),X1),X2),
inference(superposition,[],[f1208,f13]) ).
fof(f1208,plain,
! [X2,X0,X1] : apply(apply(apply(apply(s,s),X2),X0),X1) = apply(apply(apply(s,X0),apply(X2,X0)),X1),
inference(superposition,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : apply(apply(X0,X2),apply(apply(X1,X0),X2)) = apply(apply(apply(apply(s,s),X1),X0),X2),
inference(superposition,[],[f1,f1]) ).
fof(f105683,plain,
apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f105682,f2]) ).
fof(f105682,plain,
apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f105681,f2]) ).
fof(f105681,plain,
apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f105255,f42226]) ).
fof(f42226,plain,
! [X2,X3,X0,X1] : apply(apply(X0,X3),apply(apply(X1,X3),apply(X2,X3))) = apply(apply(X0,X3),apply(apply(apply(s,X1),X2),X3)),
inference(superposition,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : apply(apply(apply(s,X3),apply(apply(s,X0),X1)),X2) = apply(apply(X3,X2),apply(apply(X0,X2),apply(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f105255,plain,
apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt)) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
inference(unit_resulting_resolution,[],[f4,f14]) ).
fof(f14,plain,
! [X0,X1] :
( apply(apply(X0,fixed_pt),apply(X1,fixed_pt)) != apply(fixed_pt,apply(apply(X0,fixed_pt),apply(X1,fixed_pt)))
| fixed_point(apply(apply(s,X0),X1)) ),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X3] :
( apply(X3,fixed_pt) != apply(fixed_pt,apply(X3,fixed_pt))
| fixed_point(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,axiom,
~ fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:32:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23938)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23941)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23940)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23939)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23941)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)
% 0.14/0.38 % (23943)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)
% 0.14/0.38 % (23944)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)
% 0.14/0.38 % (23945)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)
% 0.14/0.38 % (23942)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [6]
% 0.21/0.50 TRYING [7]
% 0.21/0.52 TRYING [6]
% 2.03/0.65 TRYING [8]
% 2.95/0.79 TRYING [7]
% 4.57/1.04 TRYING [9]
% 7.81/1.47 TRYING [1]
% 7.81/1.48 TRYING [2]
% 7.81/1.48 TRYING [3]
% 7.81/1.48 TRYING [4]
% 7.81/1.49 TRYING [5]
% 8.17/1.52 TRYING [6]
% 8.42/1.57 TRYING [7]
% 9.00/1.67 TRYING [8]
% 10.04/1.78 TRYING [10]
% 11.91/2.05 TRYING [9]
% 12.15/2.10 TRYING [8]
% 21.61/3.49 TRYING [11]
% 27.50/4.27 TRYING [10]
% 39.89/6.04 TRYING [11]
% 44.55/6.78 TRYING [9]
% 61.78/9.17 TRYING [12]
% 69.95/10.35 TRYING [12]
% 155.67/22.54 % (23945)First to succeed.
% 155.93/22.55 % (23945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23938"
% 155.93/22.57 % (23945)Refutation found. Thanks to Tanya!
% 155.93/22.57 % SZS status Unsatisfiable for theBenchmark
% 155.93/22.57 % SZS output start Proof for theBenchmark
% See solution above
% 155.93/22.57 % (23945)------------------------------
% 155.93/22.57 % (23945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 155.93/22.57 % (23945)Termination reason: Refutation
% 155.93/22.57
% 155.93/22.57 % (23945)Memory used [KB]: 212968
% 155.93/22.57 % (23945)Time elapsed: 22.180 s
% 155.93/22.57 % (23945)Instructions burned: 68418 (million)
% 155.93/22.57 % (23938)Success in time 21.966 s
%------------------------------------------------------------------------------