TSTP Solution File: COL002-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL002-5 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 19:05:57 EDT 2024
% Result : Unsatisfiable 64.69s 9.61s
% Output : Refutation 64.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77803,plain,
$false,
inference(trivial_inequality_removal,[],[f77802]) ).
fof(f77802,plain,
weak_fixed_point(fixed_pt) != weak_fixed_point(fixed_pt),
inference(superposition,[],[f6,f76965]) ).
fof(f76965,plain,
! [X0] : weak_fixed_point(X0) = apply(X0,weak_fixed_point(X0)),
inference(forward_demodulation,[],[f76964,f11494]) ).
fof(f11494,plain,
! [X0] : weak_fixed_point(X0) = apply(apply(apply(apply(s,s),s),apply(c,i)),apply(s,apply(c,apply(b,X0)))),
inference(superposition,[],[f1742,f5]) ).
fof(f5,axiom,
! [X0] : weak_fixed_point(X0) = apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weak_fixed_point) ).
fof(f1742,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(apply(apply(apply(s,s),s),apply(c,i)),X0),
inference(forward_demodulation,[],[f1632,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(f1632,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(apply(apply(s,apply(c,i)),apply(s,apply(c,i))),X0),
inference(superposition,[],[f1412,f1412]) ).
fof(f1412,plain,
! [X0,X1] : apply(apply(X0,X1),X1) = apply(apply(apply(s,apply(c,i)),X0),X1),
inference(superposition,[],[f19,f4]) ).
fof(f4,axiom,
! [X0] : apply(i,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
fof(f19,plain,
! [X2,X0,X1] : apply(apply(X0,apply(X2,X1)),X1) = apply(apply(apply(s,apply(c,X0)),X2),X1),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
fof(f76964,plain,
! [X0] : apply(apply(apply(apply(s,s),s),apply(c,i)),apply(s,apply(c,apply(b,X0)))) = apply(X0,apply(apply(apply(apply(s,s),s),apply(c,i)),apply(s,apply(c,apply(b,X0))))),
inference(forward_demodulation,[],[f76963,f11479]) ).
fof(f11479,plain,
! [X0] : apply(apply(apply(s,apply(s,apply(c,i))),i),X0) = apply(apply(apply(apply(s,s),s),apply(c,i)),X0),
inference(superposition,[],[f1742,f1653]) ).
fof(f1653,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(apply(apply(s,apply(s,apply(c,i))),i),X0),
inference(superposition,[],[f1412,f13]) ).
fof(f13,plain,
! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
inference(superposition,[],[f1,f4]) ).
fof(f76963,plain,
! [X0] : apply(apply(apply(s,apply(s,apply(c,i))),i),apply(s,apply(c,apply(b,X0)))) = apply(X0,apply(apply(apply(s,apply(s,apply(c,i))),i),apply(s,apply(c,apply(b,X0))))),
inference(forward_demodulation,[],[f76962,f11104]) ).
fof(f11104,plain,
! [X0] : apply(apply(apply(s,apply(s,apply(c,i))),i),X0) = apply(apply(apply(s,apply(apply(s,c),i)),i),X0),
inference(superposition,[],[f1653,f562]) ).
fof(f562,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(apply(apply(s,apply(apply(s,c),i)),i),X0),
inference(superposition,[],[f95,f13]) ).
fof(f95,plain,
! [X0,X1] : apply(apply(X0,X1),X0) = apply(apply(apply(apply(s,c),i),X0),X1),
inference(superposition,[],[f3,f13]) ).
fof(f76962,plain,
! [X0] : apply(apply(apply(s,apply(apply(s,c),i)),i),apply(s,apply(c,apply(b,X0)))) = apply(X0,apply(apply(apply(s,apply(apply(s,c),i)),i),apply(s,apply(c,apply(b,X0))))),
inference(forward_demodulation,[],[f75684,f7792]) ).
fof(f7792,plain,
! [X0] : apply(apply(apply(s,apply(apply(s,i),i)),i),X0) = apply(apply(apply(s,apply(apply(s,c),i)),i),X0),
inference(superposition,[],[f562,f78]) ).
fof(f78,plain,
! [X0] : apply(apply(apply(s,apply(apply(s,i),i)),i),X0) = apply(apply(X0,X0),X0),
inference(superposition,[],[f13,f26]) ).
fof(f26,plain,
! [X0] : apply(apply(apply(s,i),i),X0) = apply(X0,X0),
inference(superposition,[],[f8,f4]) ).
fof(f8,plain,
! [X0,X1] : apply(apply(apply(s,i),X1),X0) = apply(X0,apply(X1,X0)),
inference(superposition,[],[f1,f4]) ).
fof(f75684,plain,
! [X0] : apply(apply(apply(s,apply(apply(s,i),i)),i),apply(s,apply(c,apply(b,X0)))) = apply(X0,apply(apply(apply(s,apply(apply(s,i),i)),i),apply(s,apply(c,apply(b,X0))))),
inference(superposition,[],[f1455,f78]) ).
fof(f1455,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(apply(s,apply(c,apply(b,X0))),X1),X2),
inference(superposition,[],[f19,f2]) ).
fof(f2,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(f6,axiom,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL002-5 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n015.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 : Sat May 18 13:23:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (26909)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (26912)WARNING: value z3 for option sas not known
% 0.15/0.38 % (26913)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (26914)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)
% 0.15/0.38 % (26916)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)
% 0.15/0.38 % (26912)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (26915)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)
% 0.15/0.38 % (26911)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (26910)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 [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [3]
% 0.23/0.43 TRYING [4]
% 0.23/0.43 TRYING [5]
% 0.23/0.52 TRYING [6]
% 1.96/0.63 TRYING [5]
% 2.53/0.77 TRYING [7]
% 5.98/1.22 TRYING [8]
% 7.85/1.48 TRYING [1]
% 7.85/1.48 TRYING [2]
% 7.85/1.48 TRYING [3]
% 7.85/1.49 TRYING [4]
% 8.06/1.52 TRYING [5]
% 8.25/1.60 TRYING [6]
% 10.27/1.82 TRYING [7]
% 13.01/2.28 TRYING [9]
% 15.02/2.57 TRYING [8]
% 28.31/4.46 TRYING [9]
% 31.96/5.00 TRYING [10]
% 32.63/5.03 TRYING [6]
% 56.25/8.40 TRYING [10]
% 64.46/9.59 % (26916)First to succeed.
% 64.69/9.60 % (26916)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26909"
% 64.69/9.61 % (26916)Refutation found. Thanks to Tanya!
% 64.69/9.61 % SZS status Unsatisfiable for theBenchmark
% 64.69/9.61 % SZS output start Proof for theBenchmark
% See solution above
% 64.69/9.61 % (26916)------------------------------
% 64.69/9.61 % (26916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 64.69/9.61 % (26916)Termination reason: Refutation
% 64.69/9.61
% 64.69/9.61 % (26916)Memory used [KB]: 104447
% 64.69/9.61 % (26916)Time elapsed: 9.211 s
% 64.69/9.61 % (26916)Instructions burned: 23308 (million)
% 64.69/9.61 % (26909)Success in time 9.192 s
%------------------------------------------------------------------------------