TSTP Solution File: SWW343+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW343+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n003.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 18:32:07 EDT 2024
% Result : Theorem 0.70s 0.94s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5856,plain,
$false,
inference(subsumption_resolution,[],[f5855,f5849]) ).
fof(f5849,plain,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),hAPP(c_Nat_OSuc,v_na),v_s1),
inference(resolution,[],[f5515,f5559]) ).
fof(f5559,plain,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
inference(cnf_transformation,[],[f5360]) ).
fof(f5360,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
inference(ennf_transformation,[],[f5241]) ).
fof(f5241,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
=> c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X4,X7,X8] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X8)),X7,X4,X6)
=> c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X8),X7,hAPP(c_Nat_OSuc,X4),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5515,plain,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
inference(cnf_transformation,[],[f5208]) ).
fof(f5208,axiom,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5855,plain,
~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),hAPP(c_Nat_OSuc,v_na),v_s1),
inference(resolution,[],[f5854,f5514]) ).
fof(f5514,plain,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
inference(cnf_transformation,[],[f5207]) ).
fof(f5207,axiom,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5854,plain,
! [X0] :
( ~ v_P(v_Z,X0)
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X0,hAPP(c_Nat_OSuc,v_na),v_s1) ),
inference(resolution,[],[f5517,f5513]) ).
fof(f5513,plain,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(cnf_transformation,[],[f5211]) ).
fof(f5211,plain,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(flattening,[],[f5210]) ).
fof(f5210,negated_conjecture,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(negated_conjecture,[],[f5209]) ).
fof(f5209,conjecture,
v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5517,plain,
! [X2,X0,X1] :
( v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5344]) ).
fof(f5344,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5213]) ).
fof(f5213,plain,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
=> v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes))) ) ),
inference(rectify,[],[f5206]) ).
fof(f5206,axiom,
! [X41,X42] :
( v_P(X41,X42)
=> ! [X43] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X42,hAPP(c_Nat_OSuc,v_na),X43)
=> v_Q(X41,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X43),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X43),c_Com_ORes))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW343+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.13/0.36 % Computer : n003.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Jun 19 06:43:39 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.38 This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26822)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26823)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26826)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26824)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26828)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26827)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.70/0.91 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.91 % (26825)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.70/0.93 % (26827)First to succeed.
% 0.70/0.93 % (26827)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26821"
% 0.70/0.94 % (26821)Running in auto input_syntax mode. Trying TPTP
% 0.70/0.94 % (26827)Refutation found. Thanks to Tanya!
% 0.70/0.94 % SZS status Theorem for theBenchmark
% 0.70/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.94 % (26827)------------------------------
% 0.70/0.94 % (26827)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.70/0.94 % (26827)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.70/0.94 % (26827)Termination reason: Refutation
% 0.70/0.94
% 0.70/0.94 % (26827)Memory used [KB]: 6339
% 0.70/0.94 % (26827)Time elapsed: 0.026 s
% 0.70/0.94 % (26827)Instructions burned: 60 (million)
% 0.70/0.94 % (26827)------------------------------
% 0.70/0.94 % (26827)------------------------------
% 0.70/0.94 % (26821)Success in time 0.103 s
%------------------------------------------------------------------------------