TSTP Solution File: HEN010-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 06:11:59 EDT 2024
% Result : Unsatisfiable 1.58s 0.64s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 24 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15120,plain,
$false,
inference(subsumption_resolution,[],[f14946,f3957]) ).
fof(f3957,plain,
! [X2,X0,X1] : zero = divide(divide(X2,divide(identity,divide(X0,divide(identity,X1)))),X1),
inference(forward_demodulation,[],[f3798,f224]) ).
fof(f224,plain,
! [X0] : divide(X0,zero) = X0,
inference(unit_resulting_resolution,[],[f1,f208,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( zero != divide(X1,X0)
| X0 = X1
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f208,plain,
! [X1] : zero = divide(X1,divide(X1,zero)),
inference(forward_demodulation,[],[f185,f92]) ).
fof(f92,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[],[f75,f53]) ).
fof(f53,plain,
! [X0,X1] : zero = divide(divide(X0,X0),X1),
inference(unit_resulting_resolution,[],[f1,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( zero != divide(divide(X0,X1),X2)
| zero = divide(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f75,plain,
! [X0,X1] : divide(X0,X0) = divide(divide(X0,X0),X1),
inference(unit_resulting_resolution,[],[f1,f53,f4]) ).
fof(f185,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,divide(X1,divide(X0,X0))),
inference(unit_resulting_resolution,[],[f53,f109,f4]) ).
fof(f109,plain,
! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),X1),
inference(unit_resulting_resolution,[],[f92,f7]) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f3798,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X2,divide(identity,divide(X0,divide(identity,X1)))),zero),X1),
inference(superposition,[],[f2524,f1057]) ).
fof(f1057,plain,
! [X0,X1] : zero = divide(divide(X0,divide(identity,X1)),X1),
inference(unit_resulting_resolution,[],[f1012,f7]) ).
fof(f1012,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( divide(X0,X1) != zero
| zero = divide(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f5,axiom,
! [X0] : zero = divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f2524,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,divide(identity,X1)),divide(X1,X2)),X2),
inference(unit_resulting_resolution,[],[f1144,f7]) ).
fof(f1144,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,divide(identity,X1)),X2),divide(X1,X2)),
inference(unit_resulting_resolution,[],[f1057,f8]) ).
fof(f14946,plain,
zero != divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),a),
inference(superposition,[],[f51,f14534]) ).
fof(f14534,plain,
! [X0] : divide(X0,divide(identity,X0)) = divide(identity,divide(identity,X0)),
inference(unit_resulting_resolution,[],[f1012,f12644,f4]) ).
fof(f12644,plain,
! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(forward_demodulation,[],[f12310,f92]) ).
fof(f12310,plain,
! [X0,X1] : divide(divide(X0,X1),divide(X0,X1)) = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(unit_resulting_resolution,[],[f53,f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f51,plain,
zero != divide(divide(identity,divide(divide(identity,a),divide(identity,divide(identity,a)))),a),
inference(unit_resulting_resolution,[],[f17,f7]) ).
fof(f17,plain,
zero != divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),
inference(unit_resulting_resolution,[],[f9,f1,f4]) ).
fof(f9,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 13:09:22 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (24779)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (24782)WARNING: value z3 for option sas not known
% 0.13/0.37 % (24782)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)
% 0.13/0.37 % (24784)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)
% 0.13/0.37 % (24786)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)
% 0.13/0.37 % (24783)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (24785)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)
% 0.13/0.37 % (24781)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (24780)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.18/0.38 TRYING [3]
% 0.18/0.39 TRYING [5]
% 0.18/0.40 TRYING [4]
% 0.18/0.43 TRYING [6]
% 0.18/0.43 TRYING [5]
% 0.18/0.51 TRYING [7]
% 0.18/0.52 TRYING [6]
% 1.58/0.64 % (24786)First to succeed.
% 1.58/0.64 % (24786)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24779"
% 1.58/0.64 % (24786)Refutation found. Thanks to Tanya!
% 1.58/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.64 % (24786)------------------------------
% 1.58/0.64 % (24786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/0.64 % (24786)Termination reason: Refutation
% 1.58/0.64
% 1.58/0.64 % (24786)Memory used [KB]: 4116
% 1.58/0.64 % (24786)Time elapsed: 0.272 s
% 1.58/0.64 % (24786)Instructions burned: 744 (million)
% 1.58/0.64 % (24779)Success in time 0.282 s
%------------------------------------------------------------------------------