TSTP Solution File: COL065-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL065-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 19:06:18 EDT 2024
% Result : Unsatisfiable 27.45s 4.18s
% Output : Refutation 27.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28499,plain,
$false,
inference(trivial_inequality_removal,[],[f28497]) ).
fof(f28497,plain,
apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))))),
inference(superposition,[],[f28491,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f28491,plain,
! [X0] : apply(apply(X0,apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))))),apply(f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))))),
inference(superposition,[],[f4955,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(f4955,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))))) != apply(apply(apply(X0,apply(X1,apply(g(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))))),f(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))),i(apply(apply(b,b),apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))),
inference(superposition,[],[f4951,f1]) ).
fof(f4951,plain,
! [X0] : apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),i(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))))) != apply(apply(apply(X0,apply(g(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),h(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))))),f(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t))))),i(apply(apply(b,b),apply(apply(b,apply(t,X0)),apply(apply(b,b),t))))),
inference(superposition,[],[f4933,f2]) ).
fof(f4933,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),i(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),h(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))))) != apply(apply(apply(X0,f(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),apply(X1,apply(g(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),h(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))))),i(apply(apply(b,b),apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),
inference(superposition,[],[f391,f1]) ).
fof(f391,plain,
! [X2,X0,X1] : apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),i(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),h(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))))) != apply(apply(apply(apply(X0,apply(X1,f(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))))),X2),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),h(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))))),i(apply(apply(b,b),apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))),
inference(superposition,[],[f124,f1]) ).
fof(f124,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1))),i(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1)))),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1))),h(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1))))) != apply(apply(apply(apply(X1,f(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1)))),X0),apply(g(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1))),h(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1))))),i(apply(apply(b,b),apply(apply(b,apply(t,X0)),X1)))),
inference(superposition,[],[f28,f2]) ).
fof(f28,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,b),apply(apply(b,X0),X1))),i(apply(apply(b,b),apply(apply(b,X0),X1)))),apply(g(apply(apply(b,b),apply(apply(b,X0),X1))),h(apply(apply(b,b),apply(apply(b,X0),X1))))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,b),apply(apply(b,X0),X1))))),apply(g(apply(apply(b,b),apply(apply(b,X0),X1))),h(apply(apply(b,b),apply(apply(b,X0),X1))))),i(apply(apply(b,b),apply(apply(b,X0),X1)))),
inference(superposition,[],[f24,f1]) ).
fof(f24,plain,
! [X0] : apply(apply(f(apply(apply(b,b),X0)),i(apply(apply(b,b),X0))),apply(g(apply(apply(b,b),X0)),h(apply(apply(b,b),X0)))) != apply(apply(apply(X0,f(apply(apply(b,b),X0))),apply(g(apply(apply(b,b),X0)),h(apply(apply(b,b),X0)))),i(apply(apply(b,b),X0))),
inference(superposition,[],[f5,f1]) ).
fof(f5,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,X0),X1)),i(apply(apply(b,X0),X1))),apply(g(apply(apply(b,X0),X1)),h(apply(apply(b,X0),X1)))) != apply(apply(apply(apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),g(apply(apply(b,X0),X1))),h(apply(apply(b,X0),X1))),i(apply(apply(b,X0),X1))),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0] : apply(apply(apply(apply(X0,f(X0)),g(X0)),h(X0)),i(X0)) != apply(apply(f(X0),i(X0)),apply(g(X0),h(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : COL065-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n006.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Sat May 18 12:58:07 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % (13590)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.28 % (13593)WARNING: value z3 for option sas not known
% 0.07/0.28 % (13595)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)
% 0.07/0.28 % (13593)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)
% 0.07/0.28 % (13592)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.28 % (13591)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.28 % (13594)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.28 % (13596)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)
% 0.07/0.28 % (13597)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)
% 0.07/0.28 TRYING [1]
% 0.07/0.28 TRYING [1]
% 0.07/0.28 TRYING [2]
% 0.07/0.28 TRYING [2]
% 0.07/0.28 TRYING [3]
% 0.07/0.28 TRYING [3]
% 0.07/0.29 TRYING [4]
% 0.07/0.29 TRYING [4]
% 3.57/0.78 TRYING [5]
% 3.57/0.79 TRYING [5]
% 7.79/1.38 TRYING [1]
% 7.79/1.38 TRYING [2]
% 7.79/1.38 TRYING [3]
% 7.79/1.39 TRYING [4]
% 10.97/1.86 TRYING [5]
% 27.21/4.16 % (13597)First to succeed.
% 27.21/4.16 % (13597)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13590"
% 27.45/4.18 % (13597)Refutation found. Thanks to Tanya!
% 27.45/4.18 % SZS status Unsatisfiable for theBenchmark
% 27.45/4.18 % SZS output start Proof for theBenchmark
% See solution above
% 27.45/4.18 % (13597)------------------------------
% 27.45/4.18 % (13597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 27.45/4.18 % (13597)Termination reason: Refutation
% 27.45/4.18
% 27.45/4.18 % (13597)Memory used [KB]: 91964
% 27.45/4.18 % (13597)Time elapsed: 3.884 s
% 27.45/4.18 % (13597)Instructions burned: 12599 (million)
% 27.45/4.18 % (13590)Success in time 3.874 s
%------------------------------------------------------------------------------