TSTP Solution File: HEN007-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN007-3 : 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 : Tue Apr 30 12:10:04 EDT 2024
% Result : Unsatisfiable 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 43 unt; 0 def)
% Number of atoms : 66 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3771,plain,
$false,
inference(resolution,[],[f3729,f9]) ).
fof(f9,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
fof(f3729,plain,
! [X0] : less_equal(divide(X0,b),divide(X0,a)),
inference(trivial_inequality_removal,[],[f3695]) ).
fof(f3695,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,b),divide(X0,a)) ),
inference(superposition,[],[f2,f3628]) ).
fof(f3628,plain,
! [X0] : zero = divide(divide(X0,b),divide(X0,a)),
inference(resolution,[],[f3547,f32]) ).
fof(f32,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(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f3547,plain,
! [X0] : less_equal(divide(divide(X0,b),divide(X0,a)),zero),
inference(superposition,[],[f2383,f1107]) ).
fof(f1107,plain,
! [X0] : zero = divide(divide(X0,b),divide(divide(X0,a),b)),
inference(forward_demodulation,[],[f1063,f1021]) ).
fof(f1021,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f1005,f31]) ).
fof(f31,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(f1005,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f973]) ).
fof(f973,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f945]) ).
fof(f945,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f932,f32]) ).
fof(f932,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(trivial_inequality_removal,[],[f916]) ).
fof(f916,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[],[f2,f889]) ).
fof(f889,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f555,f32]) ).
fof(f555,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f56,f174]) ).
fof(f174,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[],[f169,f32]) ).
fof(f169,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(trivial_inequality_removal,[],[f159]) ).
fof(f159,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,X0),zero) ),
inference(superposition,[],[f2,f100]) ).
fof(f100,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f94,f32]) ).
fof(f94,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f63,f11]) ).
fof(f11,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f1,f3]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f63,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f11]) ).
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(f56,plain,
! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f4,f12]) ).
fof(f12,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f1063,plain,
! [X0] : zero = divide(divide(X0,divide(b,zero)),divide(divide(X0,a),divide(b,zero))),
inference(backward_demodulation,[],[f651,f1021]) ).
fof(f651,plain,
! [X0] : zero = divide(divide(divide(X0,divide(b,zero)),zero),divide(divide(X0,a),divide(b,zero))),
inference(superposition,[],[f49,f619]) ).
fof(f619,plain,
zero = divide(a,divide(b,zero)),
inference(resolution,[],[f609,f32]) ).
fof(f609,plain,
less_equal(divide(a,divide(b,zero)),zero),
inference(trivial_inequality_removal,[],[f593]) ).
fof(f593,plain,
( zero != zero
| less_equal(divide(a,divide(b,zero)),zero) ),
inference(superposition,[],[f2,f571]) ).
fof(f571,plain,
zero = divide(divide(a,divide(b,zero)),zero),
inference(resolution,[],[f551,f32]) ).
fof(f551,plain,
less_equal(divide(divide(a,divide(b,zero)),zero),zero),
inference(superposition,[],[f56,f77]) ).
fof(f77,plain,
! [X0] : zero = divide(divide(a,X0),divide(b,X0)),
inference(resolution,[],[f74,f32]) ).
fof(f74,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f62,f12]) ).
fof(f62,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f13]) ).
fof(f13,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f8]) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f49,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(resolution,[],[f4,f1]) ).
fof(f2383,plain,
! [X2,X0,X1] : less_equal(divide(X0,X1),divide(X0,divide(X1,X2))),
inference(trivial_inequality_removal,[],[f2357]) ).
fof(f2357,plain,
! [X2,X0,X1] :
( zero != zero
| less_equal(divide(X0,X1),divide(X0,divide(X1,X2))) ),
inference(superposition,[],[f2,f1894]) ).
fof(f1894,plain,
! [X2,X0,X1] : zero = divide(divide(X0,X1),divide(X0,divide(X1,X2))),
inference(resolution,[],[f1521,f32]) ).
fof(f1521,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X0,divide(X1,X2))),zero),
inference(forward_demodulation,[],[f1471,f12]) ).
fof(f1471,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X0,divide(X1,X2))),divide(zero,divide(X0,divide(X1,X2)))),
inference(superposition,[],[f1045,f1046]) ).
fof(f1046,plain,
! [X2,X0,X1] : zero = divide(divide(X2,X0),divide(divide(X2,divide(X0,X1)),X0)),
inference(backward_demodulation,[],[f115,f1021]) ).
fof(f115,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X2,X0),zero),divide(divide(X2,divide(X0,X1)),X0)),
inference(superposition,[],[f49,f11]) ).
fof(f1045,plain,
! [X2,X0,X1] : less_equal(divide(X2,X0),divide(divide(X2,divide(X0,X1)),X0)),
inference(backward_demodulation,[],[f55,f1021]) ).
fof(f55,plain,
! [X2,X0,X1] : less_equal(divide(divide(X2,X0),zero),divide(divide(X2,divide(X0,X1)),X0)),
inference(superposition,[],[f4,f11]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : HEN007-3 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n017.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 21:36:48 EDT 2024
% 0.16/0.33 % CPUTime :
% 0.16/0.33 % (14286)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.36 % (14289)WARNING: value z3 for option sas not known
% 0.16/0.36 % (14291)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)
% 0.16/0.36 % (14292)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)
% 0.16/0.36 % (14290)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.36 TRYING [1]
% 0.16/0.36 TRYING [2]
% 0.16/0.36 TRYING [3]
% 0.16/0.36 TRYING [4]
% 0.16/0.37 % (14288)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 % (14293)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 % (14289)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)
% 0.16/0.38 % (14287)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [5]
% 0.16/0.39 TRYING [3]
% 0.16/0.41 TRYING [4]
% 0.16/0.44 TRYING [6]
% 0.16/0.44 % (14292)First to succeed.
% 0.16/0.45 % (14292)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (14292)------------------------------
% 0.16/0.45 % (14292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.45 % (14292)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (14292)Memory used [KB]: 1695
% 0.16/0.45 % (14292)Time elapsed: 0.082 s
% 0.16/0.45 % (14292)Instructions burned: 144 (million)
% 0.16/0.45 % (14292)------------------------------
% 0.16/0.45 % (14292)------------------------------
% 0.16/0.45 % (14286)Success in time 0.115 s
%------------------------------------------------------------------------------