TSTP Solution File: KLE138+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n024.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 : Thu Aug 31 05:36:58 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(trivial_inequality_removal,[],[f82]) ).
fof(f82,plain,
one != one,
inference(backward_demodulation,[],[f27,f81]) ).
fof(f81,plain,
one = strong_iteration(zero),
inference(forward_demodulation,[],[f73,f47]) ).
fof(f47,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f29]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906',additive_identity) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906',additive_commutativity) ).
fof(f73,plain,
strong_iteration(zero) = addition(zero,one),
inference(superposition,[],[f33,f28]) ).
fof(f28,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906',left_annihilation) ).
fof(f33,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906',infty_unfold1) ).
fof(f27,plain,
one != strong_iteration(zero),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
one != strong_iteration(zero),
inference(flattening,[],[f20]) ).
fof(f20,negated_conjecture,
one != strong_iteration(zero),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
one = strong_iteration(zero),
file('/export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 11:56:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906
% 0.22/0.38 % (2014)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (2015)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43 % (2018)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43 % (2018)First to succeed.
% 0.22/0.43 % (2018)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (2018)------------------------------
% 0.22/0.43 % (2018)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (2018)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (2018)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (2018)Memory used [KB]: 895
% 0.22/0.43 % (2018)Time elapsed: 0.003 s
% 0.22/0.43 % (2018)------------------------------
% 0.22/0.43 % (2018)------------------------------
% 0.22/0.43 % (2014)Success in time 0.056 s
% 0.22/0.43 2015 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.O5xf4XhsBx/Vampire---4.8_1906
% 0.22/0.43 % (2015)------------------------------
% 0.22/0.43 % (2015)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (2015)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (2015)Termination reason: Unknown
% 0.22/0.43 % (2015)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (2015)Memory used [KB]: 5373
% 0.22/0.43 % (2015)Time elapsed: 0.021 s
% 0.22/0.43 % (2015)------------------------------
% 0.22/0.43 % (2015)------------------------------
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------