TSTP Solution File: COL062-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL062-1 : 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 : n028.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 04:45:43 EDT 2024
% Result : Unsatisfiable 1.68s 0.58s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1789,plain,
$false,
inference(trivial_inequality_removal,[],[f1787]) ).
fof(f1787,plain,
apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))) != apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),
inference(superposition,[],[f1781,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f1781,plain,
! [X0] : apply(apply(X0,g(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),apply(f(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))))) != apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),
inference(superposition,[],[f396,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(f396,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))) != apply(apply(apply(X0,apply(X1,g(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),
inference(superposition,[],[f392,f1]) ).
fof(f392,plain,
! [X0] : apply(apply(f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))) != apply(apply(apply(X0,g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),
inference(superposition,[],[f374,f2]) ).
fof(f374,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))) != apply(apply(apply(X0,f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),apply(X1,g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),
inference(superposition,[],[f44,f1]) ).
fof(f44,plain,
! [X2,X0,X1] : apply(apply(f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))) != apply(apply(apply(apply(X0,apply(X1,f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))),X2),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),
inference(superposition,[],[f17,f1]) ).
fof(f17,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,X0)),X1)),h(apply(apply(b,apply(t,X0)),X1))),g(apply(apply(b,apply(t,X0)),X1))) != apply(apply(apply(apply(X1,f(apply(apply(b,apply(t,X0)),X1))),X0),g(apply(apply(b,apply(t,X0)),X1))),h(apply(apply(b,apply(t,X0)),X1))),
inference(superposition,[],[f5,f2]) ).
fof(f5,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,X0),X1)),h(apply(apply(b,X0),X1))),g(apply(apply(b,X0),X1))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),g(apply(apply(b,X0),X1))),h(apply(apply(b,X0),X1))),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0] : apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(apply(f(X0),h(X0)),g(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:32:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (22947)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (22956)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)
% 0.15/0.37 % (22951)WARNING: value z3 for option sas not known
% 0.15/0.37 % (22949)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (22950)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (22953)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)
% 0.15/0.37 % (22951)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)
% 0.15/0.37 % (22952)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (22954)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.53 TRYING [5]
% 1.68/0.58 % (22956)First to succeed.
% 1.68/0.58 % (22956)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22947"
% 1.68/0.58 % (22956)Refutation found. Thanks to Tanya!
% 1.68/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.58 % (22956)------------------------------
% 1.68/0.58 % (22956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.58 % (22956)Termination reason: Refutation
% 1.68/0.58
% 1.68/0.58 % (22956)Memory used [KB]: 5699
% 1.68/0.58 % (22956)Time elapsed: 0.217 s
% 1.68/0.58 % (22956)Instructions burned: 526 (million)
% 1.68/0.58 % (22947)Success in time 0.23 s
%------------------------------------------------------------------------------