TSTP Solution File: HEN009-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN009-3 : 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 : n017.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 06:11:56 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 60 unt; 0 def)
% Number of atoms : 73 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1782,plain,
$false,
inference(subsumption_resolution,[],[f1770,f750]) ).
fof(f750,plain,
~ less_equal(b,d),
inference(subsumption_resolution,[],[f749,f12]) ).
fof(f12,axiom,
b != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_d) ).
fof(f749,plain,
( b = d
| ~ less_equal(b,d) ),
inference(forward_demodulation,[],[f745,f726]) ).
fof(f726,plain,
d = divide(b,c),
inference(unit_resulting_resolution,[],[f274,f710,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(f710,plain,
less_equal(d,divide(b,c)),
inference(unit_resulting_resolution,[],[f705,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(f705,plain,
zero = divide(d,divide(b,c)),
inference(unit_resulting_resolution,[],[f5,f699,f6]) ).
fof(f699,plain,
less_equal(divide(d,divide(b,c)),zero),
inference(superposition,[],[f253,f11]) ).
fof(f11,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_c_is_d) ).
fof(f253,plain,
! [X0] : less_equal(divide(divide(X0,c),divide(b,c)),zero),
inference(superposition,[],[f4,f150]) ).
fof(f150,plain,
! [X0] : zero = divide(divide(X0,b),c),
inference(unit_resulting_resolution,[],[f5,f105,f6]) ).
fof(f105,plain,
! [X0] : less_equal(divide(divide(X0,b),c),zero),
inference(forward_demodulation,[],[f104,f19]) ).
fof(f19,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f104,plain,
! [X0] : less_equal(divide(divide(X0,b),c),divide(zero,b)),
inference(forward_demodulation,[],[f85,f20]) ).
fof(f20,plain,
! [X0] : zero = divide(X0,identity),
inference(unit_resulting_resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f85,plain,
! [X0] : less_equal(divide(divide(X0,b),c),divide(divide(X0,identity),b)),
inference(superposition,[],[f4,f10]) ).
fof(f10,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_b_is_c) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f274,plain,
! [X0] : less_equal(divide(X0,c),d),
inference(unit_resulting_resolution,[],[f187,f2]) ).
fof(f187,plain,
! [X0] : zero = divide(divide(X0,c),d),
inference(unit_resulting_resolution,[],[f5,f107,f6]) ).
fof(f107,plain,
! [X0] : less_equal(divide(divide(X0,c),d),zero),
inference(forward_demodulation,[],[f106,f19]) ).
fof(f106,plain,
! [X0] : less_equal(divide(divide(X0,c),d),divide(zero,c)),
inference(forward_demodulation,[],[f86,f20]) ).
fof(f86,plain,
! [X0] : less_equal(divide(divide(X0,c),d),divide(divide(X0,identity),c)),
inference(superposition,[],[f4,f11]) ).
fof(f745,plain,
( ~ less_equal(b,d)
| b = divide(b,c) ),
inference(superposition,[],[f52,f726]) ).
fof(f52,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f1770,plain,
less_equal(b,d),
inference(superposition,[],[f3,f1753]) ).
fof(f1753,plain,
b = divide(d,a),
inference(unit_resulting_resolution,[],[f222,f1731,f6]) ).
fof(f1731,plain,
less_equal(b,divide(d,a)),
inference(unit_resulting_resolution,[],[f1726,f2]) ).
fof(f1726,plain,
zero = divide(b,divide(d,a)),
inference(unit_resulting_resolution,[],[f5,f1700,f6]) ).
fof(f1700,plain,
less_equal(divide(b,divide(d,a)),zero),
inference(superposition,[],[f78,f1687]) ).
fof(f1687,plain,
zero = divide(divide(identity,d),a),
inference(superposition,[],[f21,f1671]) ).
fof(f1671,plain,
divide(identity,d) = divide(a,d),
inference(forward_demodulation,[],[f1658,f1262]) ).
fof(f1262,plain,
divide(c,d) = divide(identity,d),
inference(unit_resulting_resolution,[],[f988,f1226,f6]) ).
fof(f1226,plain,
! [X0] : less_equal(divide(X0,d),divide(c,d)),
inference(unit_resulting_resolution,[],[f884,f2]) ).
fof(f884,plain,
! [X0] : zero = divide(divide(X0,d),divide(c,d)),
inference(unit_resulting_resolution,[],[f5,f281,f6]) ).
fof(f281,plain,
! [X0] : less_equal(divide(divide(X0,d),divide(c,d)),zero),
inference(superposition,[],[f4,f187]) ).
fof(f988,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f570,f2]) ).
fof(f570,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f5,f108,f6]) ).
fof(f108,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_demodulation,[],[f88,f19]) ).
fof(f88,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1)),
inference(superposition,[],[f4,f20]) ).
fof(f1658,plain,
divide(c,d) = divide(a,d),
inference(unit_resulting_resolution,[],[f1226,f1623,f6]) ).
fof(f1623,plain,
! [X0] : less_equal(divide(c,X0),divide(a,X0)),
inference(unit_resulting_resolution,[],[f1534,f2]) ).
fof(f1534,plain,
! [X0] : zero = divide(divide(c,X0),divide(a,X0)),
inference(unit_resulting_resolution,[],[f5,f685,f6]) ).
fof(f685,plain,
! [X0] : less_equal(divide(divide(c,X0),divide(a,X0)),zero),
inference(forward_demodulation,[],[f677,f19]) ).
fof(f677,plain,
! [X0] : less_equal(divide(divide(c,X0),divide(a,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f660]) ).
fof(f660,plain,
zero = divide(c,a),
inference(superposition,[],[f21,f642]) ).
fof(f642,plain,
c = divide(a,b),
inference(unit_resulting_resolution,[],[f246,f626,f6]) ).
fof(f626,plain,
less_equal(c,divide(a,b)),
inference(unit_resulting_resolution,[],[f621,f2]) ).
fof(f621,plain,
zero = divide(c,divide(a,b)),
inference(unit_resulting_resolution,[],[f5,f615,f6]) ).
fof(f615,plain,
less_equal(divide(c,divide(a,b)),zero),
inference(superposition,[],[f227,f10]) ).
fof(f227,plain,
! [X0] : less_equal(divide(divide(X0,b),divide(a,b)),zero),
inference(superposition,[],[f4,f114]) ).
fof(f114,plain,
! [X0] : zero = divide(divide(X0,a),b),
inference(unit_resulting_resolution,[],[f5,f103,f6]) ).
fof(f103,plain,
! [X0] : less_equal(divide(divide(X0,a),b),zero),
inference(forward_demodulation,[],[f102,f19]) ).
fof(f102,plain,
! [X0] : less_equal(divide(divide(X0,a),b),divide(zero,a)),
inference(forward_demodulation,[],[f84,f20]) ).
fof(f84,plain,
! [X0] : less_equal(divide(divide(X0,a),b),divide(divide(X0,identity),a)),
inference(superposition,[],[f4,f9]) ).
fof(f9,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f246,plain,
! [X0] : less_equal(divide(X0,b),c),
inference(unit_resulting_resolution,[],[f150,f2]) ).
fof(f21,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(unit_resulting_resolution,[],[f3,f1]) ).
fof(f78,plain,
! [X0] : less_equal(divide(b,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[],[f4,f9]) ).
fof(f222,plain,
! [X0] : less_equal(divide(X0,a),b),
inference(unit_resulting_resolution,[],[f114,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HEN009-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 12:20:06 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (25357)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25360)WARNING: value z3 for option sas not known
% 0.14/0.39 % (25358)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (25361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (25360)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)
% 0.14/0.39 % (25362)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)
% 0.14/0.39 % (25359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (25363)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)
% 0.14/0.39 % (25364)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [4]
% 0.20/0.41 % (25364)First to succeed.
% 0.20/0.42 % (25364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25357"
% 0.20/0.42 % (25364)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (25364)------------------------------
% 0.20/0.42 % (25364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (25364)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (25364)Memory used [KB]: 1136
% 0.20/0.42 % (25364)Time elapsed: 0.030 s
% 0.20/0.42 % (25364)Instructions burned: 50 (million)
% 0.20/0.42 % (25357)Success in time 0.047 s
%------------------------------------------------------------------------------