TSTP Solution File: KLE003+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE003+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 : n012.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 05:36:13 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 8 |; 3 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 (; 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f42,f43]) ).
fof(f43,plain,
one != sF1,
inference(subsumption_resolution,[],[f37,f41]) ).
fof(f41,plain,
sK0 = sF2,
inference(backward_demodulation,[],[f36,f29]) ).
fof(f29,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.OmgHMwMXG7/Vampire---4.8_13145',additive_idempotence) ).
fof(f36,plain,
addition(sK0,sK0) = sF2,
introduced(function_definition,[]) ).
fof(f37,plain,
( one != sF1
| sK0 != sF2 ),
inference(definition_folding,[],[f23,f36,f35]) ).
fof(f35,plain,
addition(one,one) = sF1,
introduced(function_definition,[]) ).
fof(f23,plain,
( one != addition(one,one)
| sK0 != addition(sK0,sK0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( one != addition(one,one)
| sK0 != addition(sK0,sK0) )
& ( one = addition(one,one)
| ! [X1] : addition(X1,X1) = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
( ? [X0] : addition(X0,X0) != X0
=> sK0 != addition(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ( one != addition(one,one)
| ? [X0] : addition(X0,X0) != X0 )
& ( one = addition(one,one)
| ! [X1] : addition(X1,X1) = X1 ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
( ( one != addition(one,one)
| ? [X0] : addition(X0,X0) != X0 )
& ( one = addition(one,one)
| ! [X0] : addition(X0,X0) = X0 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X0] : addition(X0,X0) = X0
<~> one = addition(one,one) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ( ! [X0] : addition(X0,X0) = X0
<=> one = addition(one,one) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ( ! [X3] : addition(X3,X3) = X3
<=> one = addition(one,one) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
( ! [X3] : addition(X3,X3) = X3
<=> one = addition(one,one) ),
file('/export/starexec/sandbox2/tmp/tmp.OmgHMwMXG7/Vampire---4.8_13145',goals) ).
fof(f42,plain,
one = sF1,
inference(backward_demodulation,[],[f35,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 11:49:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.OmgHMwMXG7/Vampire---4.8_13145
% 0.15/0.36 % (13259)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (13269)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)
% 0.22/0.42 % (13261)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)
% 0.22/0.42 % (13264)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)
% 0.22/0.42 % (13265)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)
% 0.22/0.42 % (13269)First to succeed.
% 0.22/0.42 % (13267)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)
% 0.22/0.42 % (13260)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)
% 0.22/0.42 % (13264)Also succeeded, but the first one will report.
% 0.22/0.42 % (13265)Refutation not found, incomplete strategy% (13265)------------------------------
% 0.22/0.42 % (13265)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (13265)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (13265)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (13265)Memory used [KB]: 895
% 0.22/0.42 % (13265)Time elapsed: 0.003 s
% 0.22/0.42 % (13265)------------------------------
% 0.22/0.42 % (13265)------------------------------
% 0.22/0.42 % (13267)Also succeeded, but the first one will report.
% 0.22/0.42 % (13269)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (13269)------------------------------
% 0.22/0.42 % (13269)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (13269)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (13269)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (13269)Memory used [KB]: 895
% 0.22/0.42 % (13269)Time elapsed: 0.004 s
% 0.22/0.42 % (13269)------------------------------
% 0.22/0.42 % (13269)------------------------------
% 0.22/0.42 % (13259)Success in time 0.06 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------