TSTP Solution File: KLE151+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE151+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 : n016.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 05:37:04 EDT 2023
% Result : Theorem 0.17s 0.45s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 28 unt; 0 def)
% Number of atoms : 44 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 5 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 52 (; 48 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1872,plain,
$false,
inference(subsumption_resolution,[],[f1871,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.ZQY5vNZhHy/Vampire---4.8_5312',idempotence) ).
fof(f1871,plain,
multiplication(sK0,strong_iteration(multiplication(sK1,sK0))) != addition(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),
inference(resolution,[],[f1866,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.ZQY5vNZhHy/Vampire---4.8_5312',order) ).
fof(f1866,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),
inference(forward_demodulation,[],[f1865,f204]) ).
fof(f204,plain,
! [X8,X9] : strong_iteration(multiplication(X8,X9)) = addition(one,multiplication(X8,multiplication(X9,strong_iteration(multiplication(X8,X9))))),
inference(superposition,[],[f50,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.ZQY5vNZhHy/Vampire---4.8_5312',multiplicative_associativity) ).
fof(f50,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(backward_demodulation,[],[f38,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.ZQY5vNZhHy/Vampire---4.8_5312',additive_commutativity) ).
fof(f38,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/sandbox2/tmp/tmp.ZQY5vNZhHy/Vampire---4.8_5312',infty_unfold1) ).
fof(f1865,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(sK0,addition(one,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))))),
inference(forward_demodulation,[],[f1864,f373]) ).
fof(f373,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.ZQY5vNZhHy/Vampire---4.8_5312',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.ZQY5vNZhHy/Vampire---4.8_5312',distributivity1) ).
fof(f1864,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),addition(sK0,multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))))),
inference(forward_demodulation,[],[f1863,f44]) ).
fof(f1863,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),addition(sK0,multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))))),
inference(forward_demodulation,[],[f1856,f40]) ).
fof(f1856,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0)),
inference(resolution,[],[f47,f30]) ).
fof(f30,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(strong_iteration(multiplication(sK0,sK1)),sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(strong_iteration(multiplication(sK0,sK1)),sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f23,f27]) ).
fof(f27,plain,
( ? [X0,X1] : ~ leq(multiplication(X0,strong_iteration(multiplication(X1,X0))),multiplication(strong_iteration(multiplication(X0,X1)),X0))
=> ~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(strong_iteration(multiplication(sK0,sK1)),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] : ~ leq(multiplication(X0,strong_iteration(multiplication(X1,X0))),multiplication(strong_iteration(multiplication(X0,X1)),X0)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] : leq(multiplication(X0,strong_iteration(multiplication(X1,X0))),multiplication(strong_iteration(multiplication(X0,X1)),X0)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] : leq(multiplication(X3,strong_iteration(multiplication(X4,X3))),multiplication(strong_iteration(multiplication(X3,X4)),X3)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] : leq(multiplication(X3,strong_iteration(multiplication(X4,X3))),multiplication(strong_iteration(multiplication(X3,X4)),X3)),
file('/export/starexec/sandbox2/tmp/tmp.ZQY5vNZhHy/Vampire---4.8_5312',goals) ).
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.ZQY5vNZhHy/Vampire---4.8_5312',infty_coinduction) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : KLE151+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 11:27:45 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ZQY5vNZhHy/Vampire---4.8_5312
% 0.12/0.33 % (5420)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (5421)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)
% 0.17/0.39 % (5426)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)
% 0.17/0.39 % (5427)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)
% 0.17/0.39 % (5423)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)
% 0.17/0.39 % (5422)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)
% 0.17/0.39 % (5424)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)
% 0.17/0.39 % (5425)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)
% 0.17/0.39 % (5425)Refutation not found, incomplete strategy% (5425)------------------------------
% 0.17/0.39 % (5425)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.39 % (5425)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.39 % (5425)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39 % (5425)Memory used [KB]: 895
% 0.17/0.39 % (5425)Time elapsed: 0.004 s
% 0.17/0.39 % (5425)------------------------------
% 0.17/0.39 % (5425)------------------------------
% 0.17/0.45 % (5422)First to succeed.
% 0.17/0.45 % (5428)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)
% 0.17/0.45 % (5422)Refutation found. Thanks to Tanya!
% 0.17/0.45 % SZS status Theorem for Vampire---4
% 0.17/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.45 % (5422)------------------------------
% 0.17/0.45 % (5422)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.45 % (5422)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.45 % (5422)Termination reason: Refutation
% 0.17/0.45
% 0.17/0.45 % (5422)Memory used [KB]: 11385
% 0.17/0.45 % (5422)Time elapsed: 0.064 s
% 0.17/0.45 % (5422)------------------------------
% 0.17/0.45 % (5422)------------------------------
% 0.17/0.45 % (5420)Success in time 0.116 s
% 0.17/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------