TSTP Solution File: HEN006-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n021.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 : Fri Sep 1 15:58:43 EDT 2023
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 25 unt; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1272,plain,
$false,
inference(resolution,[],[f1185,f12]) ).
fof(f12,axiom,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',prove_a_divide_d_LE_b) ).
fof(f1185,plain,
less_equal(divide(a,d),b),
inference(trivial_inequality_removal,[],[f1165]) ).
fof(f1165,plain,
( zero != zero
| less_equal(divide(a,d),b) ),
inference(superposition,[],[f2,f1154]) ).
fof(f1154,plain,
zero = divide(divide(a,d),b),
inference(resolution,[],[f1142,f38]) ).
fof(f38,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',less_equal_and_equal) ).
fof(f1142,plain,
less_equal(divide(divide(a,d),b),zero),
inference(forward_demodulation,[],[f1111,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',zero_divide_anything_is_zero) ).
fof(f1111,plain,
less_equal(divide(divide(a,d),b),divide(zero,b)),
inference(superposition,[],[f357,f117]) ).
fof(f117,plain,
zero = divide(divide(a,d),divide(b,d)),
inference(resolution,[],[f80,f38]) ).
fof(f80,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[],[f4,f18]) ).
fof(f18,plain,
zero = divide(divide(a,b),d),
inference(resolution,[],[f1,f11]) ).
fof(f11,axiom,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',a_divide_b_LE_d) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',quotient_less_equal1) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',quotient_property) ).
fof(f357,plain,
! [X8,X9,X7] : less_equal(divide(X9,X7),divide(divide(X9,divide(X7,X8)),X7)),
inference(backward_demodulation,[],[f72,f340]) ).
fof(f340,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f335,f42]) ).
fof(f42,plain,
! [X3,X4] :
( ~ less_equal(X3,divide(X3,X4))
| divide(X3,X4) = X3 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',quotient_smaller_than_numerator) ).
fof(f335,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f319,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f299]) ).
fof(f299,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f293,f38]) ).
fof(f293,plain,
! [X5] : less_equal(divide(X5,divide(X5,zero)),zero),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f282,plain,
! [X5] :
( zero != zero
| less_equal(divide(X5,divide(X5,zero)),zero) ),
inference(superposition,[],[f2,f227]) ).
fof(f227,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f214,f38]) ).
fof(f214,plain,
! [X3] : less_equal(divide(divide(X3,divide(X3,zero)),zero),zero),
inference(superposition,[],[f70,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',x_divide_x_is_zero) ).
fof(f70,plain,
! [X4,X5] : less_equal(divide(divide(X5,X4),zero),divide(divide(X5,zero),X4)),
inference(superposition,[],[f4,f9]) ).
fof(f72,plain,
! [X8,X9,X7] : less_equal(divide(divide(X9,X7),zero),divide(divide(X9,divide(X7,X8)),X7)),
inference(superposition,[],[f4,f19]) ).
fof(f19,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f1,f3]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n021.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 14:37:45 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.42 % (29040)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29082)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (29083)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (29086)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (29084)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (29087)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (29088)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (29089)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [5]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 % (29088)First to succeed.
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.46 % (29088)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46 % (29088)------------------------------
% 0.22/0.46 % (29088)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (29088)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (29088)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (29088)Memory used [KB]: 1663
% 0.22/0.46 % (29088)Time elapsed: 0.030 s
% 0.22/0.46 % (29088)------------------------------
% 0.22/0.46 % (29088)------------------------------
% 0.22/0.46 % (29040)Success in time 0.09 s
% 0.22/0.46 29084 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.BL3JhgZj9q/Vampire---4.8_28845
% 0.22/0.46 % (29084)------------------------------
% 0.22/0.46 % (29084)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (29084)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (29084)Termination reason: Unknown
% 0.22/0.46 % (29084)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (29084)Memory used [KB]: 5245
% 0.22/0.46 % (29084)Time elapsed: 0.033 s
% 0.22/0.46 % (29084)------------------------------
% 0.22/0.46 % (29084)------------------------------
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------