TSTP Solution File: KLE137+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE137+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 : n015.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 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 27 unt; 0 def)
% Number of atoms : 47 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 18 ~; 7 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 55 (; 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2178,plain,
$false,
inference(subsumption_resolution,[],[f2177,f105]) ).
fof(f105,plain,
! [X2,X1] : addition(X2,X1) = addition(X1,addition(X2,X1)),
inference(superposition,[],[f81,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/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',additive_commutativity) ).
fof(f81,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f43,f35]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',idempotence) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',additive_associativity) ).
fof(f2177,plain,
addition(one,sK0) != addition(sK0,addition(one,sK0)),
inference(resolution,[],[f2174,f42]) ).
fof(f42,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',order) ).
fof(f2174,plain,
~ leq(sK0,addition(one,sK0)),
inference(forward_demodulation,[],[f2173,f34]) ).
fof(f34,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',multiplicative_left_identity) ).
fof(f2173,plain,
~ leq(sK0,multiplication(one,addition(one,sK0))),
inference(forward_demodulation,[],[f2170,f208]) ).
fof(f208,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f45,f33]) ).
fof(f33,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',multiplicative_right_identity) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',distributivity1) ).
fof(f2170,plain,
~ leq(sK0,addition(one,multiplication(one,sK0))),
inference(resolution,[],[f1833,f30]) ).
fof(f30,plain,
~ leq(sK0,strong_iteration(one)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
~ leq(sK0,strong_iteration(one)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).
fof(f27,plain,
( ? [X0] : ~ leq(X0,strong_iteration(one))
=> ~ leq(sK0,strong_iteration(one)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] : ~ leq(X0,strong_iteration(one)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] : leq(X0,strong_iteration(one)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : leq(X3,strong_iteration(one)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : leq(X3,strong_iteration(one)),
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',goals) ).
fof(f1833,plain,
! [X4,X5] :
( leq(X5,strong_iteration(X4))
| ~ leq(X5,addition(one,multiplication(X4,X5))) ),
inference(forward_demodulation,[],[f1827,f40]) ).
fof(f1827,plain,
! [X4,X5] :
( leq(X5,strong_iteration(X4))
| ~ leq(X5,addition(multiplication(X4,X5),one)) ),
inference(superposition,[],[f47,f33]) ).
fof(f47,plain,
! [X2,X0,X1] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076',infty_coinduction) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n015.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 : Tue Aug 29 11:30:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.zChQqD5BHU/Vampire---4.8_3076
% 0.14/0.36 % (3319)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3335)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)
% 0.20/0.42 % (3320)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)
% 0.20/0.42 % (3330)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)
% 0.20/0.42 % (3331)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)
% 0.20/0.42 % (3338)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)
% 0.20/0.42 % (3323)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)
% 0.20/0.42 % (3326)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)
% 0.20/0.42 % (3331)Refutation not found, incomplete strategy% (3331)------------------------------
% 0.20/0.42 % (3331)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (3331)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (3331)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (3331)Memory used [KB]: 895
% 0.20/0.42 % (3331)Time elapsed: 0.004 s
% 0.20/0.42 % (3331)------------------------------
% 0.20/0.42 % (3331)------------------------------
% 0.20/0.48 % (3341)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.20/0.48 % (3341)Refutation not found, incomplete strategy% (3341)------------------------------
% 0.20/0.48 % (3341)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.48 % (3341)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.48 % (3341)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (3341)Memory used [KB]: 895
% 0.20/0.48 % (3341)Time elapsed: 0.002 s
% 0.20/0.48 % (3341)------------------------------
% 0.20/0.48 % (3341)------------------------------
% 0.20/0.48 % (3323)First to succeed.
% 0.20/0.48 % (3323)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for Vampire---4
% 0.20/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.48 % (3323)------------------------------
% 0.20/0.48 % (3323)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.48 % (3323)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.48 % (3323)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (3323)Memory used [KB]: 11641
% 0.20/0.48 % (3323)Time elapsed: 0.065 s
% 0.20/0.48 % (3323)------------------------------
% 0.20/0.48 % (3323)------------------------------
% 0.20/0.49 % (3319)Success in time 0.123 s
% 0.20/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------