TSTP Solution File: COL044-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL044-2 : 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 : n007.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 04:45:39 EDT 2024
% Result : Unsatisfiable 8.96s 1.69s
% Output : Refutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 18 unt; 0 def)
% Number of atoms : 20 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 14 ( 3 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14483,plain,
$false,
inference(trivial_inequality_removal,[],[f14482]) ).
fof(f14482,plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f14481,f1459]) ).
fof(f1459,plain,
! [X0,X1] : apply(apply(apply(n,apply(apply(b,b),X1)),X1),X0) = apply(apply(X1,X0),apply(X1,X0)),
inference(superposition,[],[f86,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(X0,X1)),X1),X2) = apply(apply(apply(apply(n,X0),X2),X1),X2),
inference(superposition,[],[f2,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_definition) ).
fof(f86,plain,
! [X2,X0,X1] : apply(apply(X0,X1),apply(X0,X2)) = apply(apply(apply(apply(n,apply(b,b)),X1),X0),X2),
inference(superposition,[],[f1,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,X0)),X2),X1) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f14481,plain,
apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f14480,f3929]) ).
fof(f3929,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(b,apply(b,X3))),apply(X2,X1)),apply(X0,X1)) = apply(X3,apply(apply(apply(apply(n,apply(apply(b,b),X0)),X2),X1),apply(X0,X1))),
inference(superposition,[],[f72,f3329]) ).
fof(f3329,plain,
! [X2,X0,X1] : apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(n,apply(apply(b,b),X0)),X2),X1),
inference(superposition,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(apply(b,X0),X1)),X3),X2) = apply(apply(apply(X0,apply(X1,X2)),X3),X2),
inference(superposition,[],[f2,f1]) ).
fof(f72,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X1)) = apply(apply(apply(n,apply(b,apply(b,X0))),X2),X1),
inference(superposition,[],[f10,f1]) ).
fof(f14480,plain,
apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[],[f14479,f3329]) ).
fof(f14479,plain,
apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f14478,f1]) ).
fof(f14478,plain,
apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[],[f14477,f1]) ).
fof(f14477,plain,
apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b),fixed_pt)),
inference(unit_resulting_resolution,[],[f4,f3]) ).
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(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL044-2 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:32:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7464)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 % (7467)WARNING: value z3 for option sas not known
% 0.15/0.39 % (7468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (7471)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (7467)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)
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (7466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (7470)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)
% 0.15/0.39 % (7469)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)
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 TRYING [5]
% 1.54/0.59 TRYING [6]
% 1.73/0.62 TRYING [6]
% 5.11/1.15 TRYING [7]
% 6.26/1.25 TRYING [7]
% 7.90/1.49 TRYING [1]
% 7.90/1.49 TRYING [2]
% 7.90/1.49 TRYING [3]
% 7.90/1.50 TRYING [4]
% 8.35/1.54 TRYING [5]
% 8.96/1.68 % (7471)First to succeed.
% 8.96/1.68 % (7471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7464"
% 8.96/1.69 % (7471)Refutation found. Thanks to Tanya!
% 8.96/1.69 % SZS status Unsatisfiable for theBenchmark
% 8.96/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 8.96/1.69 % (7471)------------------------------
% 8.96/1.69 % (7471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.96/1.69 % (7471)Termination reason: Refutation
% 8.96/1.69
% 8.96/1.69 % (7471)Memory used [KB]: 17306
% 8.96/1.69 % (7471)Time elapsed: 1.293 s
% 8.96/1.69 % (7471)Instructions burned: 2409 (million)
% 8.96/1.69 % (7464)Success in time 1.322 s
%------------------------------------------------------------------------------