TSTP Solution File: SWW209+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW209+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 : Mon Jun 24 18:31:35 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 4 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1847,plain,
$false,
inference(subsumption_resolution,[],[f1845,f1408]) ).
fof(f1408,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK2,sK3),
inference(cnf_transformation,[],[f1354]) ).
fof(f1354,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____),sK2),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK3))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f1273,f1353]) ).
fof(f1353,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____),sK2),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK3))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f1273,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1845,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK2,sK3),
inference(resolution,[],[f1843,f1559]) ).
fof(f1559,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,[],[f1345]) ).
fof(f1345,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,[],[f1264]) ).
fof(f1264,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1843,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sK2),hAPP(v_ga____,sK3)),
inference(resolution,[],[f1842,f1558]) ).
fof(f1558,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(cnf_transformation,[],[f1344]) ).
fof(f1344,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,[],[f1263]) ).
fof(f1263,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1842,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,sK2)),hAPP(v_f____,hAPP(v_ga____,sK3))),
inference(forward_demodulation,[],[f1834,f1565]) ).
fof(f1565,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(c_Fun_Ocomp(X5,X4,X3,X2),X1),X0),
inference(cnf_transformation,[],[f1270]) ).
fof(f1270,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(c_Fun_Ocomp(X5,X4,X3,X2),X1),X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X10,X0,X1,X9,X7,X8] : hAPP(hAPP(c_Fun_Ocomp(X8,X7,X9,X1),X0),X10) = hAPP(X1,hAPP(X0,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1834,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____),sK2),hAPP(v_f____,hAPP(v_ga____,sK3))),
inference(backward_demodulation,[],[f1409,f1565]) ).
fof(f1409,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____),sK2),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK3)),
inference(cnf_transformation,[],[f1354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW209+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.09 % Command : run_vampire %s %d THM
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.28 % DateTime : Wed Jun 19 04:21:23 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.29 Running first-order theorem proving
% 0.13/0.29 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18902)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.15/0.38 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18899)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.15/0.38 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18900)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.15/0.38 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18904)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.15/0.39 % (18904)First to succeed.
% 0.15/0.39 % (18904)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18897"
% 0.15/0.39 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (18898)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.15/0.39 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (18901)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.15/0.39 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (18903)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.15/0.39 % (18897)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (18904)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (18904)------------------------------
% 0.15/0.39 % (18904)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.39 % (18904)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.39 % (18904)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (18904)Memory used [KB]: 2157
% 0.15/0.39 % (18904)Time elapsed: 0.015 s
% 0.15/0.39 % (18904)Instructions burned: 39 (million)
% 0.15/0.39 % (18904)------------------------------
% 0.15/0.39 % (18904)------------------------------
% 0.15/0.39 % (18897)Success in time 0.048 s
%------------------------------------------------------------------------------