TSTP Solution File: HEN009-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Tue Apr 30 12:10:06 EDT 2024
% Result : Unsatisfiable 0.16s 0.44s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 32 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2044,plain,
$false,
inference(unit_resulting_resolution,[],[f936,f281,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
fof(f281,plain,
~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
inference(unit_resulting_resolution,[],[f16,f241,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f241,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(unit_resulting_resolution,[],[f36,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f36,plain,
! [X0] : less_equal(X0,X0),
inference(unit_resulting_resolution,[],[f10,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f16,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f936,plain,
! [X0,X1] : less_equal(divide(X0,divide(identity,X1)),X1),
inference(forward_demodulation,[],[f888,f344]) ).
fof(f344,plain,
! [X0] : divide(X0,zero) = X0,
inference(unit_resulting_resolution,[],[f3,f301,f6]) ).
fof(f301,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f284,f2]) ).
fof(f284,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f241,f65]) ).
fof(f65,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(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f888,plain,
! [X0,X1] : less_equal(divide(X0,divide(divide(identity,X1),zero)),X1),
inference(unit_resulting_resolution,[],[f349,f845,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f845,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f7,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f349,plain,
! [X0,X1] : less_equal(divide(X0,divide(divide(X0,X1),zero)),X1),
inference(unit_resulting_resolution,[],[f301,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 21:57:26 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (11137)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (11143)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)
% 0.11/0.36 % (11138)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.37 % (11144)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)
% 0.16/0.37 % (11140)WARNING: value z3 for option sas not known
% 0.16/0.37 % (11140)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)
% 0.16/0.37 % (11141)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.37 TRYING [1]
% 0.16/0.37 % (11139)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.37 TRYING [2]
% 0.16/0.37 TRYING [3]
% 0.16/0.38 % (11142)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)
% 0.16/0.38 TRYING [4]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.41 TRYING [5]
% 0.16/0.44 % (11144)First to succeed.
% 0.16/0.44 % (11144)Refutation found. Thanks to Tanya!
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44 % (11144)------------------------------
% 0.16/0.44 % (11144)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.44 % (11144)Termination reason: Refutation
% 0.16/0.44
% 0.16/0.44 % (11144)Memory used [KB]: 1083
% 0.16/0.44 % (11144)Time elapsed: 0.074 s
% 0.16/0.44 % (11144)Instructions burned: 65 (million)
% 0.16/0.44 % (11144)------------------------------
% 0.16/0.44 % (11144)------------------------------
% 0.16/0.44 % (11137)Success in time 0.112 s
% 0.16/0.44 11141 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % (11141)------------------------------
% 0.16/0.44 % (11141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.44 % (11141)Termination reason: Unknown
% 0.16/0.44 % (11141)Termination phase: Finite model building SAT solving
% 0.16/0.44
% 0.16/0.44 % (11141)Memory used [KB]: 1590
% 0.16/0.44 % (11141)Time elapsed: 0.073 s
% 0.16/0.44 % (11141)Instructions burned: 87 (million)
% 0.16/0.44 % (11141)------------------------------
% 0.16/0.44 % (11141)------------------------------
% 0.16/0.44 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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