TSTP Solution File: HEN006-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN006-3 : 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 : n017.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 21:34:46 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 29 unt; 0 def)
% Number of atoms : 48 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1269,plain,
$false,
inference(resolution,[],[f1253,f9]) ).
fof(f9,axiom,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
fof(f1253,plain,
less_equal(divide(a,d),b),
inference(trivial_inequality_removal,[],[f1234]) ).
fof(f1234,plain,
( zero != zero
| less_equal(divide(a,d),b) ),
inference(superposition,[],[f2,f1223]) ).
fof(f1223,plain,
zero = divide(divide(a,d),b),
inference(resolution,[],[f1212,f30]) ).
fof(f30,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f1212,plain,
less_equal(divide(divide(a,d),b),zero),
inference(forward_demodulation,[],[f1185,f10]) ).
fof(f10,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f1185,plain,
less_equal(divide(divide(a,d),b),divide(zero,b)),
inference(superposition,[],[f802,f78]) ).
fof(f78,plain,
zero = divide(divide(a,d),divide(b,d)),
inference(resolution,[],[f63,f30]) ).
fof(f63,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[],[f4,f12]) ).
fof(f12,plain,
zero = divide(divide(a,b),d),
inference(resolution,[],[f1,f8]) ).
fof(f8,axiom,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f802,plain,
! [X2,X0,X1] : less_equal(divide(X2,X0),divide(divide(X2,divide(X0,X1)),X0)),
inference(backward_demodulation,[],[f57,f778]) ).
fof(f778,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f764,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f764,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f739,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f711]) ).
fof(f711,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f698,f30]) ).
fof(f698,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f682,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[],[f2,f655]) ).
fof(f655,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f419,f30]) ).
fof(f419,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f54,f171]) ).
fof(f171,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[],[f166,f30]) ).
fof(f166,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f156,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,X0),zero) ),
inference(superposition,[],[f2,f143]) ).
fof(f143,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f90,f30]) ).
fof(f90,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f64,f10]) ).
fof(f64,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f13]) ).
fof(f13,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f1,f3]) ).
fof(f54,plain,
! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f4,f10]) ).
fof(f57,plain,
! [X2,X0,X1] : less_equal(divide(divide(X2,X0),zero),divide(divide(X2,divide(X0,X1)),X0)),
inference(superposition,[],[f4,f13]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN006-3 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 22:52:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28846)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (28849)WARNING: value z3 for option sas not known
% 0.21/0.38 % (28848)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (28852)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)
% 0.21/0.38 % (28851)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)
% 0.21/0.38 % (28853)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)
% 0.21/0.38 % (28847)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (28849)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)
% 0.21/0.38 % (28850)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.41 % (28852)First to succeed.
% 0.21/0.41 % (28852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28846"
% 0.21/0.41 % (28852)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (28852)------------------------------
% 0.21/0.41 % (28852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (28852)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (28852)Memory used [KB]: 1109
% 0.21/0.41 % (28852)Time elapsed: 0.032 s
% 0.21/0.41 % (28852)Instructions burned: 54 (million)
% 0.21/0.41 % (28846)Success in time 0.045 s
%------------------------------------------------------------------------------