TSTP Solution File: HEN005-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN005-4 : 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 : n023.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 06:11:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 27 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(resolution,[],[f273,f14]) ).
fof(f14,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_LE_c) ).
fof(f273,plain,
less_equal(a,c),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( zero != zero
| less_equal(a,c) ),
inference(superposition,[],[f2,f257]) ).
fof(f257,plain,
zero = divide(a,c),
inference(resolution,[],[f243,f54]) ).
fof(f54,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f243,plain,
less_equal(divide(a,c),zero),
inference(forward_demodulation,[],[f237,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f237,plain,
less_equal(divide(a,c),divide(zero,c)),
inference(superposition,[],[f114,f22]) ).
fof(f22,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f12]) ).
fof(f12,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f114,plain,
! [X0] : less_equal(divide(X0,c),divide(divide(X0,b),c)),
inference(forward_demodulation,[],[f82,f11]) ).
fof(f11,axiom,
! [X0] : divide(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
fof(f82,plain,
! [X0] : less_equal(divide(divide(X0,c),zero),divide(divide(X0,b),c)),
inference(superposition,[],[f4,f23]) ).
fof(f23,plain,
zero = divide(b,c),
inference(resolution,[],[f1,f13]) ).
fof(f13,axiom,
less_equal(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_LE_c) ).
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(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : HEN005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:03:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3847)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3848)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3845)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3846)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 % (3850)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 % (3849)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 % (3847)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 % (3851)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 [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (3850)First to succeed.
% 0.14/0.38 % (3850)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3844"
% 0.14/0.38 % (3851)Also succeeded, but the first one will report.
% 0.14/0.38 % (3850)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (3850)------------------------------
% 0.14/0.38 % (3850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (3850)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (3850)Memory used [KB]: 865
% 0.14/0.38 % (3850)Time elapsed: 0.008 s
% 0.14/0.38 % (3850)Instructions burned: 10 (million)
% 0.14/0.38 % (3844)Success in time 0.013 s
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