TSTP Solution File: SWW209+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 : Wed May 1 04:17:35 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 46 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 6 |; 4 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 60 ( 56 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1301,plain,
$false,
inference(subsumption_resolution,[],[f1296,f1290]) ).
fof(f1290,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sK0),hAPP(v_ga____,sK1)),
inference(unit_resulting_resolution,[],[f1281,f1258]) ).
fof(f1258,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f1207,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f1183]) ).
fof(f1183,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X3),hAPP(v_f____,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).
fof(f1281,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,sK0)),hAPP(v_f____,hAPP(v_ga____,sK1))),
inference(forward_demodulation,[],[f1280,f1275]) ).
fof(f1275,plain,
! [X2,X3,X0,X6,X4,X5] : hAPP(X3,hAPP(X2,X0)) = hAPP(hAPP(c_Fun_Ocomp(X6,X5,X4,X3),X2),X0),
inference(equality_resolution,[],[f1262]) ).
fof(f1262,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hAPP(X1,X0) = hAPP(X3,hAPP(X2,X0))
| hAPP(c_Fun_Ocomp(X6,X5,X4,X3),X2) != X1 ),
inference(cnf_transformation,[],[f1211]) ).
fof(f1211,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( hAPP(X1,X0) = hAPP(X3,hAPP(X2,X0))
| hAPP(c_Fun_Ocomp(X6,X5,X4,X3),X2) != X1 ),
inference(ennf_transformation,[],[f1187]) ).
fof(f1187,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( hAPP(c_Fun_Ocomp(X6,X5,X4,X3),X2) = X1
=> hAPP(X1,X0) = hAPP(X3,hAPP(X2,X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X15,X16,X17,X18,X7,X8,X9] :
( hAPP(c_Fun_Ocomp(X9,X8,X7,X18),X17) = X16
=> hAPP(X18,hAPP(X17,X15)) = hAPP(X16,X15) ),
file('/export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117',fact_o__eq__dest__lhs) ).
fof(f1280,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK0),hAPP(v_f____,hAPP(v_ga____,sK1))),
inference(backward_demodulation,[],[f1223,f1275]) ).
fof(f1223,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK1)),
inference(cnf_transformation,[],[f1214]) ).
fof(f1214,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1193,f1213]) ).
fof(f1213,plain,
( ? [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) )
=> ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f1193,plain,
? [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f1163]) ).
fof(f1163,plain,
~ ! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1)) ),
inference(rectify,[],[f1162]) ).
fof(f1162,negated_conjecture,
~ ! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X3),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4)) ),
inference(negated_conjecture,[],[f1161]) ).
fof(f1161,conjecture,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X3),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4)) ),
file('/export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117',conj_0) ).
fof(f1296,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sK0),hAPP(v_ga____,sK1)),
inference(unit_resulting_resolution,[],[f1222,f1259]) ).
fof(f1259,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(cnf_transformation,[],[f1208]) ).
fof(f1208,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f1184]) ).
fof(f1184,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X3),hAPP(v_ga____,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).
fof(f1222,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK0,sK1),
inference(cnf_transformation,[],[f1214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:49:56 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117
% 0.60/0.80 % (17356)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (17352)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (17355)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (17353)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80 % (17357)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (17358)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80 % (17359)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81 % (17355)First to succeed.
% 0.60/0.81 % (17359)Refutation not found, incomplete strategy% (17359)------------------------------
% 0.60/0.81 % (17359)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (17359)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (17359)Memory used [KB]: 1954
% 0.60/0.81 % (17359)Time elapsed: 0.007 s
% 0.60/0.81 % (17359)Instructions burned: 10 (million)
% 0.60/0.81 % (17359)------------------------------
% 0.60/0.81 % (17359)------------------------------
% 0.60/0.81 % (17355)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (17355)------------------------------
% 0.60/0.81 % (17355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (17355)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (17355)Memory used [KB]: 1983
% 0.60/0.81 % (17355)Time elapsed: 0.009 s
% 0.60/0.81 % (17355)Instructions burned: 11 (million)
% 0.60/0.81 % (17355)------------------------------
% 0.60/0.81 % (17355)------------------------------
% 0.60/0.81 % (17348)Success in time 0.436 s
% 0.60/0.81 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.81 17348 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.5TqNQfEMQ4/Vampire---4.8_17117
% 0.60/0.81 % (17348)------------------------------
% 0.60/0.81 % (17348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (17348)Termination reason: Unknown
% 0.60/0.81 % (17348)Termination phase: Unknown
% 0.60/0.81
% 0.60/0.81 % (17348)Memory used [KB]: 1319
% 0.60/0.81 % (17348)Time elapsed: 0.436 s
% 0.60/0.81 % (17348)Instructions burned: 1123 (million)
% 0.60/0.81 % (17348)------------------------------
% 0.60/0.81 % (17348)------------------------------
% 0.60/0.81 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 ???
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------