TSTP Solution File: SWW297+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 18:31:56 EDT 2024
% Result : Theorem 0.71s 0.95s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 68 ( 23 ~; 11 |; 15 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 47 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5632,plain,
$false,
inference(subsumption_resolution,[],[f5631,f5626]) ).
fof(f5626,plain,
c_Natural_Oevaln(v_com,sK1,hAPP(c_Nat_OSuc,v_n),sK2),
inference(resolution,[],[f5412,f5415]) ).
fof(f5415,plain,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(X3,X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5313]) ).
fof(f5313,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(X3,X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(X3,X2,X1,X0) ),
inference(ennf_transformation,[],[f5229]) ).
fof(f5229,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(X3,X2,X1,X0)
=> c_Natural_Oevaln(X3,X2,hAPP(c_Nat_OSuc,X1),X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5,X6] :
( c_Natural_Oevaln(X6,X5,X4,X3)
=> c_Natural_Oevaln(X6,X5,hAPP(c_Nat_OSuc,X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5412,plain,
c_Natural_Oevaln(v_com,sK1,v_n,sK2),
inference(cnf_transformation,[],[f5360]) ).
fof(f5360,plain,
( ~ v_fun2(sK0,sK2)
& c_Natural_Oevaln(v_com,sK1,v_n,sK2)
& v_fun1(sK0,sK1)
& ! [X3,X4] :
( ! [X5] :
( v_fun2(X3,X5)
| ~ c_Natural_Oevaln(v_com,X4,hAPP(c_Nat_OSuc,v_n),X5) )
| ~ v_fun1(X3,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5357,f5359,f5358]) ).
fof(f5358,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_fun2(X0,X2)
& c_Natural_Oevaln(v_com,X1,v_n,X2) )
& v_fun1(X0,X1) )
=> ( ? [X2] :
( ~ v_fun2(sK0,X2)
& c_Natural_Oevaln(v_com,sK1,v_n,X2) )
& v_fun1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f5359,plain,
( ? [X2] :
( ~ v_fun2(sK0,X2)
& c_Natural_Oevaln(v_com,sK1,v_n,X2) )
=> ( ~ v_fun2(sK0,sK2)
& c_Natural_Oevaln(v_com,sK1,v_n,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f5357,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_fun2(X0,X2)
& c_Natural_Oevaln(v_com,X1,v_n,X2) )
& v_fun1(X0,X1) )
& ! [X3,X4] :
( ! [X5] :
( v_fun2(X3,X5)
| ~ c_Natural_Oevaln(v_com,X4,hAPP(c_Nat_OSuc,v_n),X5) )
| ~ v_fun1(X3,X4) ) ),
inference(rectify,[],[f5310]) ).
fof(f5310,plain,
( ? [X3,X4] :
( ? [X5] :
( ~ v_fun2(X3,X5)
& c_Natural_Oevaln(v_com,X4,v_n,X5) )
& v_fun1(X3,X4) )
& ! [X0,X1] :
( ! [X2] :
( v_fun2(X0,X2)
| ~ c_Natural_Oevaln(v_com,X1,hAPP(c_Nat_OSuc,v_n),X2) )
| ~ v_fun1(X0,X1) ) ),
inference(ennf_transformation,[],[f5227]) ).
fof(f5227,plain,
~ ( ! [X0,X1] :
( v_fun1(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_com,X1,hAPP(c_Nat_OSuc,v_n),X2)
=> v_fun2(X0,X2) ) )
=> ! [X3,X4] :
( v_fun1(X3,X4)
=> ! [X5] :
( c_Natural_Oevaln(v_com,X4,v_n,X5)
=> v_fun2(X3,X5) ) ) ),
inference(rectify,[],[f5226]) ).
fof(f5226,negated_conjecture,
~ ( ! [X297,X298] :
( v_fun1(X297,X298)
=> ! [X299] :
( c_Natural_Oevaln(v_com,X298,hAPP(c_Nat_OSuc,v_n),X299)
=> v_fun2(X297,X299) ) )
=> ! [X297,X298] :
( v_fun1(X297,X298)
=> ! [X299] :
( c_Natural_Oevaln(v_com,X298,v_n,X299)
=> v_fun2(X297,X299) ) ) ),
inference(negated_conjecture,[],[f5225]) ).
fof(f5225,conjecture,
( ! [X297,X298] :
( v_fun1(X297,X298)
=> ! [X299] :
( c_Natural_Oevaln(v_com,X298,hAPP(c_Nat_OSuc,v_n),X299)
=> v_fun2(X297,X299) ) )
=> ! [X297,X298] :
( v_fun1(X297,X298)
=> ! [X299] :
( c_Natural_Oevaln(v_com,X298,v_n,X299)
=> v_fun2(X297,X299) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5631,plain,
~ c_Natural_Oevaln(v_com,sK1,hAPP(c_Nat_OSuc,v_n),sK2),
inference(resolution,[],[f5628,f5411]) ).
fof(f5411,plain,
v_fun1(sK0,sK1),
inference(cnf_transformation,[],[f5360]) ).
fof(f5628,plain,
! [X0] :
( ~ v_fun1(sK0,X0)
| ~ c_Natural_Oevaln(v_com,X0,hAPP(c_Nat_OSuc,v_n),sK2) ),
inference(resolution,[],[f5410,f5413]) ).
fof(f5413,plain,
~ v_fun2(sK0,sK2),
inference(cnf_transformation,[],[f5360]) ).
fof(f5410,plain,
! [X3,X4,X5] :
( v_fun2(X3,X5)
| ~ c_Natural_Oevaln(v_com,X4,hAPP(c_Nat_OSuc,v_n),X5)
| ~ v_fun1(X3,X4) ),
inference(cnf_transformation,[],[f5360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.11 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 06:13:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.35 Running first-order theorem proving
% 0.18/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23179)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23180)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)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23174)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23175)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)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23176)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)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23177)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.71/0.92 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92 % (23178)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.71/0.95 % (23179)First to succeed.
% 0.71/0.95 % (23179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23173"
% 0.71/0.95 % (23173)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.95 % (23179)Refutation found. Thanks to Tanya!
% 0.71/0.95 % SZS status Theorem for theBenchmark
% 0.71/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.95 % (23179)------------------------------
% 0.71/0.95 % (23179)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.71/0.96 % (23179)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.71/0.96 % (23179)Termination reason: Refutation
% 0.71/0.96
% 0.71/0.96 % (23179)Memory used [KB]: 6103
% 0.71/0.96 % (23179)Time elapsed: 0.032 s
% 0.71/0.96 % (23179)Instructions burned: 49 (million)
% 0.71/0.96 % (23179)------------------------------
% 0.71/0.96 % (23179)------------------------------
% 0.71/0.96 % (23173)Success in time 0.108 s
%------------------------------------------------------------------------------