TSTP Solution File: HEN004-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN004-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 16:24:34 EDT 2022
% Result : Unsatisfiable 1.90s 0.61s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 45 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f445,plain,
$false,
inference(trivial_inequality_removal,[],[f444]) ).
fof(f444,plain,
a != a,
inference(backward_demodulation,[],[f8,f417]) ).
fof(f417,plain,
! [X11] : divide(X11,zero) = X11,
inference(subsumption_resolution,[],[f410,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f410,plain,
! [X11] :
( ~ less_equal(divide(X11,zero),X11)
| divide(X11,zero) = X11 ),
inference(trivial_inequality_removal,[],[f388]) ).
fof(f388,plain,
! [X11] :
( zero != zero
| divide(X11,zero) = X11
| ~ less_equal(divide(X11,zero),X11) ),
inference(superposition,[],[f15,f343]) ).
fof(f343,plain,
! [X9] : zero = divide(X9,divide(X9,zero)),
inference(trivial_inequality_removal,[],[f322]) ).
fof(f322,plain,
! [X9] :
( zero = divide(X9,divide(X9,zero))
| zero != zero ),
inference(superposition,[],[f18,f305]) ).
fof(f305,plain,
! [X1] : zero = divide(divide(X1,divide(X1,zero)),zero),
inference(subsumption_resolution,[],[f296,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f296,plain,
! [X1] :
( zero = divide(divide(X1,divide(X1,zero)),zero)
| ~ less_equal(zero,divide(divide(X1,divide(X1,zero)),zero)) ),
inference(resolution,[],[f189,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f189,plain,
! [X1] : less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),
inference(superposition,[],[f29,f75]) ).
fof(f75,plain,
! [X11] : zero = divide(X11,X11),
inference(subsumption_resolution,[],[f73,f5]) ).
fof(f73,plain,
! [X11] :
( ~ less_equal(zero,divide(X11,X11))
| zero = divide(X11,X11) ),
inference(trivial_inequality_removal,[],[f71]) ).
fof(f71,plain,
! [X11] :
( zero != zero
| zero = divide(X11,X11)
| ~ less_equal(zero,divide(X11,X11)) ),
inference(superposition,[],[f15,f55]) ).
fof(f55,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f48,f13]) ).
fof(f13,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f48,plain,
! [X1] : less_equal(divide(divide(X1,X1),zero),zero),
inference(superposition,[],[f34,f10]) ).
fof(f10,plain,
! [X2,X1] : zero = divide(divide(X1,X2),X1),
inference(resolution,[],[f1,f3]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f34,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f10]) ).
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(f29,plain,
! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
inference(superposition,[],[f4,f9]) ).
fof(f9,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f18,plain,
! [X1] :
( zero != divide(X1,zero)
| zero = X1 ),
inference(resolution,[],[f13,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f15,plain,
! [X3,X4] :
( zero != divide(X4,X3)
| ~ less_equal(X3,X4)
| X3 = X4 ),
inference(resolution,[],[f6,f2]) ).
fof(f8,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:57:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (20692)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (20709)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (20708)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.57 % (20700)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.57 % (20701)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.57 % (20693)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 TRYING [4]
% 0.21/0.57 % (20693)Instruction limit reached!
% 0.21/0.57 % (20693)------------------------------
% 0.21/0.57 % (20693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (20693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (20693)Termination reason: Unknown
% 0.21/0.59 % (20693)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (20693)Memory used [KB]: 5500
% 0.21/0.59 % (20693)Time elapsed: 0.137 s
% 0.21/0.59 % (20693)Instructions burned: 7 (million)
% 0.21/0.59 % (20693)------------------------------
% 0.21/0.59 % (20693)------------------------------
% 0.21/0.60 % (20690)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 TRYING [5]
% 1.90/0.61 % (20709)First to succeed.
% 1.90/0.61 % (20709)Refutation found. Thanks to Tanya!
% 1.90/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.90/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.62 % (20709)------------------------------
% 1.90/0.62 % (20709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.62 % (20709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.62 % (20709)Termination reason: Refutation
% 1.90/0.62
% 1.90/0.62 % (20709)Memory used [KB]: 5628
% 1.90/0.62 % (20709)Time elapsed: 0.161 s
% 1.90/0.62 % (20709)Instructions burned: 19 (million)
% 1.90/0.62 % (20709)------------------------------
% 1.90/0.62 % (20709)------------------------------
% 1.90/0.62 % (20685)Success in time 0.256 s
%------------------------------------------------------------------------------