TSTP Solution File: KLE059+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE059+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 05:36:38 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 (; 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
fof(f51,plain,
domain(sK1) != domain(sK1),
inference(forward_demodulation,[],[f50,f49]) ).
fof(f49,plain,
sK1 = addition(sK1,sK0),
inference(backward_demodulation,[],[f29,f40]) ).
fof(f40,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.wWM0swPTMc/Vampire---4.8_14479',additive_commutativity) ).
fof(f29,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( domain(sK1) != addition(domain(sK0),domain(sK1))
& sK1 = addition(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& addition(X0,X1) = X1 )
=> ( domain(sK1) != addition(domain(sK0),domain(sK1))
& sK1 = addition(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> domain(X1) = addition(domain(X0),domain(X1)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] :
( addition(X3,X4) = X4
=> domain(X4) = addition(domain(X3),domain(X4)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] :
( addition(X3,X4) = X4
=> domain(X4) = addition(domain(X3),domain(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.wWM0swPTMc/Vampire---4.8_14479',goals) ).
fof(f50,plain,
domain(sK1) != domain(addition(sK1,sK0)),
inference(backward_demodulation,[],[f47,f42]) ).
fof(f42,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.wWM0swPTMc/Vampire---4.8_14479',domain5) ).
fof(f47,plain,
domain(sK1) != addition(domain(sK1),domain(sK0)),
inference(backward_demodulation,[],[f30,f40]) ).
fof(f30,plain,
domain(sK1) != addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % 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 11:09:23 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.wWM0swPTMc/Vampire---4.8_14479
% 0.15/0.37 % (14590)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (14596)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43 % (14595)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43 % (14591)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 % (14592)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.43 % (14597)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (14593)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.44 % (14594)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)
% 0.22/0.44 % (14592)First to succeed.
% 0.22/0.44 % (14596)Also succeeded, but the first one will report.
% 0.22/0.44 % (14594)Also succeeded, but the first one will report.
% 0.22/0.44 % (14592)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (14592)------------------------------
% 0.22/0.44 % (14592)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (14592)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (14592)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (14592)Memory used [KB]: 9850
% 0.22/0.44 % (14592)Time elapsed: 0.005 s
% 0.22/0.44 % (14592)------------------------------
% 0.22/0.44 % (14592)------------------------------
% 0.22/0.44 % (14590)Success in time 0.064 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------