TSTP Solution File: HEN007-5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN007-5 : 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 : n012.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 21:34:47 EDT 2024
% Result : Unsatisfiable 0.25s 0.45s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 23 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2134,plain,
$false,
inference(trivial_inequality_removal,[],[f2114]) ).
fof(f2114,plain,
zero != zero,
inference(superposition,[],[f8,f2073]) ).
fof(f2073,plain,
! [X0] : zero = divide(divide(X0,b),divide(X0,a)),
inference(superposition,[],[f1,f1838]) ).
fof(f1838,plain,
! [X0] : divide(X0,b) = divide(divide(X0,a),b),
inference(unit_resulting_resolution,[],[f1304,f1560,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(f1560,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(unit_resulting_resolution,[],[f3,f93,f4]) ).
fof(f93,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero),
inference(forward_demodulation,[],[f73,f3]) ).
fof(f73,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)),
inference(superposition,[],[f2,f1]) ).
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(f3,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f1304,plain,
! [X0] : zero = divide(divide(X0,b),divide(divide(X0,a),b)),
inference(superposition,[],[f70,f1176]) ).
fof(f1176,plain,
! [X0] : divide(X0,zero) = X0,
inference(unit_resulting_resolution,[],[f1,f1097,f4]) ).
fof(f1097,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f3,f1020,f4]) ).
fof(f1020,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(unit_resulting_resolution,[],[f3,f653,f4]) ).
fof(f653,plain,
! [X0] : zero = divide(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f69,f218]) ).
fof(f218,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f190,plain,
! [X0] : divide(X0,X0) = divide(divide(X0,X0),X0),
inference(unit_resulting_resolution,[],[f1,f149,f4]) ).
fof(f149,plain,
! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
inference(unit_resulting_resolution,[],[f3,f77,f4]) ).
fof(f77,plain,
! [X0,X1] : zero = divide(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f2,f1]) ).
fof(f69,plain,
! [X0,X1] : zero = divide(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f2,f3]) ).
fof(f70,plain,
! [X0] : zero = divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)),
inference(superposition,[],[f2,f7]) ).
fof(f7,axiom,
zero = divide(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f8,axiom,
zero != divide(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-5 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38 % Computer : n012.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun May 19 22:54:38 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.39 % (11755)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (11758)WARNING: value z3 for option sas not known
% 0.14/0.40 % (11757)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (11759)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (11758)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)
% 0.14/0.40 % (11761)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)
% 0.14/0.40 % (11762)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)
% 0.14/0.40 % (11756)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (11760)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)
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [3]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [4]
% 0.25/0.45 % (11762)First to succeed.
% 0.25/0.45 % (11762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11755"
% 0.25/0.45 % (11761)Also succeeded, but the first one will report.
% 0.25/0.45 % (11762)Refutation found. Thanks to Tanya!
% 0.25/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.45 % (11762)------------------------------
% 0.25/0.45 % (11762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.25/0.45 % (11762)Termination reason: Refutation
% 0.25/0.45
% 0.25/0.45 % (11762)Memory used [KB]: 1180
% 0.25/0.45 % (11762)Time elapsed: 0.046 s
% 0.25/0.45 % (11762)Instructions burned: 86 (million)
% 0.25/0.45 % (11755)Success in time 0.063 s
%------------------------------------------------------------------------------