TSTP Solution File: HEN009-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN009-6 : 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 : n028.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 21:34:50 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1461,plain,
$false,
inference(subsumption_resolution,[],[f1459,f117]) ).
fof(f117,plain,
~ less_equal(b,d),
inference(subsumption_resolution,[],[f115,f17]) ).
fof(f17,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_d) ).
fof(f115,plain,
( ~ less_equal(b,d)
| b = d ),
inference(resolution,[],[f112,f6]) ).
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(f112,plain,
less_equal(d,b),
inference(forward_demodulation,[],[f107,f16]) ).
fof(f16,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_c_is_d) ).
fof(f107,plain,
less_equal(divide(identity,c),b),
inference(superposition,[],[f83,f15]) ).
fof(f15,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_b_is_c) ).
fof(f83,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f11,f44]) ).
fof(f44,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f36]) ).
fof(f36,plain,
! [X0] :
( zero != zero
| less_equal(X0,X0) ),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f1459,plain,
less_equal(b,d),
inference(superposition,[],[f1444,f14]) ).
fof(f14,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f1444,plain,
! [X0] : less_equal(divide(X0,a),d),
inference(resolution,[],[f1381,f11]) ).
fof(f1381,plain,
! [X0] : less_equal(divide(X0,d),a),
inference(resolution,[],[f1375,f192]) ).
fof(f192,plain,
! [X0] : less_equal(divide(X0,d),c),
inference(resolution,[],[f175,f11]) ).
fof(f175,plain,
! [X0] : less_equal(divide(X0,c),d),
inference(subsumption_resolution,[],[f169,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f169,plain,
! [X0] :
( less_equal(divide(X0,c),d)
| ~ less_equal(X0,identity) ),
inference(superposition,[],[f12,f16]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f1375,plain,
! [X0] :
( ~ less_equal(X0,c)
| less_equal(X0,a) ),
inference(forward_demodulation,[],[f1362,f624]) ).
fof(f624,plain,
! [X0] : divide(X0,zero) = X0,
inference(subsumption_resolution,[],[f617,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f617,plain,
! [X0] :
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(resolution,[],[f612,f6]) ).
fof(f612,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f593]) ).
fof(f593,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f83,f46]) ).
fof(f46,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(f1362,plain,
! [X0] :
( ~ less_equal(X0,c)
| less_equal(divide(X0,zero),a) ),
inference(resolution,[],[f170,f11]) ).
fof(f170,plain,
! [X0] :
( less_equal(divide(X0,a),zero)
| ~ less_equal(X0,c) ),
inference(superposition,[],[f12,f114]) ).
fof(f114,plain,
zero = divide(c,a),
inference(resolution,[],[f111,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f111,plain,
less_equal(c,a),
inference(forward_demodulation,[],[f106,f15]) ).
fof(f106,plain,
less_equal(divide(identity,b),a),
inference(superposition,[],[f83,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN009-6 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 22:52:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1478)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (1481)WARNING: value z3 for option sas not known
% 0.13/0.36 % (1484)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)
% 0.13/0.36 % (1485)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)
% 0.13/0.36 % (1481)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)
% 0.13/0.36 % (1483)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)
% 0.13/0.36 % (1482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [5]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 % (1481)First to succeed.
% 0.13/0.39 % (1481)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1478"
% 0.13/0.39 % (1485)Also succeeded, but the first one will report.
% 0.13/0.39 % (1481)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (1481)------------------------------
% 0.13/0.39 % (1481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (1481)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (1481)Memory used [KB]: 1055
% 0.13/0.39 % (1481)Time elapsed: 0.025 s
% 0.13/0.39 % (1481)Instructions burned: 44 (million)
% 0.13/0.39 % (1478)Success in time 0.04 s
%------------------------------------------------------------------------------