TSTP Solution File: HEN009-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN009-6 : 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 : n013.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 12:10:07 EDT 2024
% Result : Unsatisfiable 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 34 unt; 0 def)
% Number of atoms : 71 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1930,plain,
$false,
inference(trivial_inequality_removal,[],[f1929]) ).
fof(f1929,plain,
b != b,
inference(superposition,[],[f17,f1754]) ).
fof(f1754,plain,
b = d,
inference(resolution,[],[f1742,f344]) ).
fof(f344,plain,
( ~ less_equal(b,d)
| b = d ),
inference(resolution,[],[f335,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(f335,plain,
less_equal(d,b),
inference(resolution,[],[f332,f68]) ).
fof(f68,plain,
! [X0] :
( ~ less_equal(divide(identity,X0),c)
| less_equal(d,X0) ),
inference(superposition,[],[f11,f16]) ).
fof(f16,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_c_is_d) ).
fof(f11,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),X1)
| ~ less_equal(divide(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f332,plain,
! [X0] : less_equal(divide(X0,b),c),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,b),c) ),
inference(superposition,[],[f2,f217]) ).
fof(f217,plain,
! [X0] : zero = divide(divide(X0,b),c),
inference(resolution,[],[f191,f50]) ).
fof(f50,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(f191,plain,
! [X0] : less_equal(divide(divide(X0,b),c),zero),
inference(forward_demodulation,[],[f190,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f190,plain,
! [X0] : less_equal(divide(divide(X0,b),c),divide(zero,b)),
inference(forward_demodulation,[],[f167,f8]) ).
fof(f8,axiom,
! [X0] : zero = divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everything_divide_id_is_zero) ).
fof(f167,plain,
! [X0] : less_equal(divide(divide(X0,b),c),divide(divide(X0,identity),b)),
inference(superposition,[],[f4,f15]) ).
fof(f15,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox2/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/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) ).
fof(f1742,plain,
less_equal(b,d),
inference(resolution,[],[f1737,f66]) ).
fof(f66,plain,
! [X0] :
( ~ less_equal(divide(identity,X0),a)
| less_equal(b,X0) ),
inference(superposition,[],[f11,f14]) ).
fof(f14,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f1737,plain,
! [X0] : less_equal(divide(X0,d),a),
inference(trivial_inequality_removal,[],[f1720]) ).
fof(f1720,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,d),a) ),
inference(superposition,[],[f2,f1510]) ).
fof(f1510,plain,
! [X0] : zero = divide(divide(X0,d),a),
inference(resolution,[],[f1503,f519]) ).
fof(f519,plain,
! [X0] :
( ~ less_equal(X0,c)
| zero = divide(X0,a) ),
inference(resolution,[],[f287,f50]) ).
fof(f287,plain,
! [X0] :
( less_equal(divide(X0,a),zero)
| ~ less_equal(X0,c) ),
inference(superposition,[],[f12,f276]) ).
fof(f276,plain,
zero = divide(c,a),
inference(resolution,[],[f259,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(f259,plain,
less_equal(c,a),
inference(resolution,[],[f256,f67]) ).
fof(f67,plain,
! [X0] :
( ~ less_equal(divide(identity,X0),b)
| less_equal(c,X0) ),
inference(superposition,[],[f11,f15]) ).
fof(f256,plain,
! [X0] : less_equal(divide(X0,a),b),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f247,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,a),b) ),
inference(superposition,[],[f2,f205]) ).
fof(f205,plain,
! [X0] : zero = divide(divide(X0,a),b),
inference(resolution,[],[f189,f50]) ).
fof(f189,plain,
! [X0] : less_equal(divide(divide(X0,a),b),zero),
inference(forward_demodulation,[],[f188,f9]) ).
fof(f188,plain,
! [X0] : less_equal(divide(divide(X0,a),b),divide(zero,a)),
inference(forward_demodulation,[],[f166,f8]) ).
fof(f166,plain,
! [X0] : less_equal(divide(divide(X0,a),b),divide(divide(X0,identity),a)),
inference(superposition,[],[f4,f14]) ).
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(f1503,plain,
! [X0] : less_equal(divide(X0,d),c),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1486,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,d),c) ),
inference(superposition,[],[f2,f1389]) ).
fof(f1389,plain,
! [X0] : zero = divide(divide(X0,d),c),
inference(resolution,[],[f61,f389]) ).
fof(f389,plain,
! [X0] : less_equal(divide(X0,c),d),
inference(trivial_inequality_removal,[],[f380]) ).
fof(f380,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,c),d) ),
inference(superposition,[],[f2,f229]) ).
fof(f229,plain,
! [X0] : zero = divide(divide(X0,c),d),
inference(resolution,[],[f193,f50]) ).
fof(f193,plain,
! [X0] : less_equal(divide(divide(X0,c),d),zero),
inference(forward_demodulation,[],[f192,f9]) ).
fof(f192,plain,
! [X0] : less_equal(divide(divide(X0,c),d),divide(zero,c)),
inference(forward_demodulation,[],[f168,f8]) ).
fof(f168,plain,
! [X0] : less_equal(divide(divide(X0,c),d),divide(divide(X0,identity),c)),
inference(superposition,[],[f4,f16]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| zero = divide(divide(X0,X2),X1) ),
inference(resolution,[],[f11,f1]) ).
fof(f17,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n013.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 21:59:19 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % (11502)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.29 % (11506)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.29 % (11508)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)
% 0.07/0.29 % (11507)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)
% 0.07/0.29 TRYING [1]
% 0.07/0.29 TRYING [2]
% 0.07/0.29 TRYING [3]
% 0.07/0.30 TRYING [4]
% 0.07/0.30 % (11509)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)
% 0.07/0.30 % (11504)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.31 TRYING [5]
% 0.12/0.31 % (11505)WARNING: value z3 for option sas not known
% 0.12/0.31 % (11505)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)
% 0.12/0.31 % (11503)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.32 TRYING [1]
% 0.12/0.32 TRYING [2]
% 0.12/0.33 % (11508)First to succeed.
% 0.12/0.33 TRYING [3]
% 0.12/0.34 % (11508)Refutation found. Thanks to Tanya!
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.34 % (11508)------------------------------
% 0.12/0.34 % (11508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.34 % (11508)Termination reason: Refutation
% 0.12/0.34
% 0.12/0.34 % (11508)Memory used [KB]: 1351
% 0.12/0.34 % (11508)Time elapsed: 0.049 s
% 0.12/0.34 % (11508)Instructions burned: 78 (million)
% 0.12/0.34 % (11508)------------------------------
% 0.12/0.34 % (11508)------------------------------
% 0.12/0.34 % (11502)Success in time 0.069 s
%------------------------------------------------------------------------------