TSTP Solution File: HEN010-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN010-3 : 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 : n014.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 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 48 unt; 0 def)
% Number of atoms : 65 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14921,plain,
$false,
inference(subsumption_resolution,[],[f14648,f12848]) ).
fof(f12848,plain,
! [X2,X0,X1] : less_equal(divide(X2,X1),divide(X2,divide(X0,divide(identity,X1)))),
inference(forward_demodulation,[],[f12725,f662]) ).
fof(f662,plain,
! [X0] : divide(X0,zero) = X0,
inference(unit_resulting_resolution,[],[f3,f615,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f615,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f595,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f595,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(forward_demodulation,[],[f594,f536]) ).
fof(f536,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(unit_resulting_resolution,[],[f5,f367,f6]) ).
fof(f367,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f60,f118]) ).
fof(f118,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[],[f117,f93]) ).
fof(f93,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(unit_resulting_resolution,[],[f5,f88,f6]) ).
fof(f88,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f67,f9]) ).
fof(f9,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f67,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f11]) ).
fof(f11,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(unit_resulting_resolution,[],[f3,f1]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f117,plain,
! [X0] : divide(X0,X0) = divide(divide(X0,X0),zero),
inference(subsumption_resolution,[],[f112,f101]) ).
fof(f101,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(unit_resulting_resolution,[],[f93,f2]) ).
fof(f112,plain,
! [X0] :
( ~ less_equal(divide(X0,X0),zero)
| divide(X0,X0) = divide(divide(X0,X0),zero) ),
inference(superposition,[],[f36,f93]) ).
fof(f36,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f60,plain,
! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f4,f9]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f594,plain,
! [X0] : divide(X0,divide(X0,zero)) = divide(divide(X0,divide(X0,zero)),zero),
inference(subsumption_resolution,[],[f580,f555]) ).
fof(f555,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(unit_resulting_resolution,[],[f536,f2]) ).
fof(f580,plain,
! [X0] :
( ~ less_equal(divide(X0,divide(X0,zero)),zero)
| divide(X0,divide(X0,zero)) = divide(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[],[f36,f536]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f12725,plain,
! [X2,X0,X1] : less_equal(divide(divide(X2,X1),zero),divide(X2,divide(X0,divide(identity,X1)))),
inference(superposition,[],[f8211,f12388]) ).
fof(f12388,plain,
! [X0,X1] : zero = divide(divide(X0,divide(identity,X1)),X1),
inference(forward_demodulation,[],[f12234,f9]) ).
fof(f12234,plain,
! [X0,X1] : divide(zero,X1) = divide(divide(X0,divide(identity,X1)),X1),
inference(superposition,[],[f3811,f7137]) ).
fof(f7137,plain,
! [X0,X1] : zero = divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))),
inference(unit_resulting_resolution,[],[f5,f232,f6]) ).
fof(f232,plain,
! [X0,X1] : less_equal(divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))),zero),
inference(superposition,[],[f4,f163]) ).
fof(f163,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f5,f75,f6]) ).
fof(f75,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_demodulation,[],[f65,f9]) ).
fof(f65,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1)),
inference(superposition,[],[f4,f10]) ).
fof(f10,plain,
! [X0] : zero = divide(X0,identity),
inference(unit_resulting_resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f3811,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1),
inference(forward_demodulation,[],[f3810,f662]) ).
fof(f3810,plain,
! [X2,X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1),
inference(subsumption_resolution,[],[f3809,f1252]) ).
fof(f1252,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(unit_resulting_resolution,[],[f771,f2]) ).
fof(f771,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(unit_resulting_resolution,[],[f5,f76,f6]) ).
fof(f76,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero),
inference(forward_demodulation,[],[f66,f9]) ).
fof(f66,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)),
inference(superposition,[],[f4,f11]) ).
fof(f3809,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))
| divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
inference(forward_demodulation,[],[f3715,f662]) ).
fof(f3715,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
inference(resolution,[],[f62,f6]) ).
fof(f62,plain,
! [X2,X0,X1] : less_equal(divide(divide(X2,X0),zero),divide(divide(X2,divide(X0,X1)),X0)),
inference(superposition,[],[f4,f11]) ).
fof(f8211,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2)),
inference(unit_resulting_resolution,[],[f4075,f2]) ).
fof(f4075,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2)),
inference(forward_demodulation,[],[f3935,f9]) ).
fof(f3935,plain,
! [X2,X0,X1] : divide(zero,divide(X0,X2)) = divide(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2)),
inference(superposition,[],[f3811,f54]) ).
fof(f54,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unit_resulting_resolution,[],[f4,f1]) ).
fof(f14648,plain,
~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
inference(superposition,[],[f52,f12955]) ).
fof(f12955,plain,
! [X0] : divide(X0,divide(identity,X0)) = divide(identity,divide(identity,X0)),
inference(unit_resulting_resolution,[],[f219,f12127,f6]) ).
fof(f12127,plain,
! [X0,X1] : less_equal(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))),
inference(unit_resulting_resolution,[],[f7137,f2]) ).
fof(f219,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f163,f2]) ).
fof(f52,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),
inference(unit_resulting_resolution,[],[f3,f8,f6]) ).
fof(f8,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_inversion) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 12:41:02 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32158)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (32163)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32162)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (32161)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (32163)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)
% 0.14/0.38 % (32164)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (32165)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)
% 0.14/0.38 % (32166)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)
% 0.14/0.38 % (32167)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.14/0.42 TRYING [6]
% 0.21/0.42 TRYING [5]
% 0.21/0.48 TRYING [7]
% 0.21/0.50 TRYING [6]
% 0.21/0.56 % (32167)First to succeed.
% 0.21/0.56 % (32167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32158"
% 0.21/0.57 % (32167)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (32167)------------------------------
% 0.21/0.57 % (32167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.57 % (32167)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (32167)Memory used [KB]: 3239
% 0.21/0.57 % (32167)Time elapsed: 0.184 s
% 0.21/0.57 % (32167)Instructions burned: 437 (million)
% 0.21/0.57 % (32158)Success in time 0.192 s
%------------------------------------------------------------------------------