TSTP Solution File: HEN004-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN004-4 : 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 : n032.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 06:11:51 EDT 2024
% Result : Unsatisfiable 0.09s 0.30s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 19 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 3 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(resolution,[],[f231,f74]) ).
fof(f74,plain,
~ less_equal(divide(divide(a,divide(a,zero)),zero),zero),
inference(unit_resulting_resolution,[],[f5,f70,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(f70,plain,
zero != divide(divide(a,divide(a,zero)),zero),
inference(unit_resulting_resolution,[],[f69,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(f69,plain,
~ less_equal(divide(a,divide(a,zero)),zero),
inference(unit_resulting_resolution,[],[f5,f55,f6]) ).
fof(f55,plain,
zero != divide(a,divide(a,zero)),
inference(unit_resulting_resolution,[],[f49,f2]) ).
fof(f49,plain,
~ less_equal(a,divide(a,zero)),
inference(unit_resulting_resolution,[],[f11,f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f11,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f231,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f105,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f105,plain,
! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f4,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 12:57:09 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (527)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (529)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (528)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.30 % (532)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)
% 0.09/0.30 % (534)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 % (534)First to succeed.
% 0.09/0.30 % (534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-527"
% 0.09/0.30 TRYING [3]
% 0.09/0.30 % (531)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (534)Refutation found. Thanks to Tanya!
% 0.09/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.30 % (534)------------------------------
% 0.09/0.30 % (534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.30 % (534)Termination reason: Refutation
% 0.09/0.30
% 0.09/0.30 % (534)Memory used [KB]: 853
% 0.09/0.30 % (534)Time elapsed: 0.005 s
% 0.09/0.30 % (534)Instructions burned: 10 (million)
% 0.09/0.30 % (527)Success in time 0.007 s
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