TSTP Solution File: SWW345+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW345+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.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 18:32:08 EDT 2024
% Result : Theorem 0.64s 0.88s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5721,plain,
$false,
inference(subsumption_resolution,[],[f5706,f5308]) ).
fof(f5308,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[],[f5209]) ).
fof(f5209,axiom,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5706,plain,
~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(resolution,[],[f5686,f5309]) ).
fof(f5309,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[],[f5210]) ).
fof(f5210,axiom,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5686,plain,
! [X0] :
( ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H)
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
inference(resolution,[],[f5599,f5307]) ).
fof(f5307,plain,
v_P(v_Z,v_s),
inference(cnf_transformation,[],[f5208]) ).
fof(f5208,axiom,
v_P(v_Z,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5599,plain,
! [X0,X1] :
( ~ v_P(v_Z,X0)
| ~ c_Natural_Oevaln(v_d,X1,v_n,v_s_H)
| ~ c_Natural_Oevaln(v_c,X0,v_n,X1) ),
inference(resolution,[],[f5420,f5306]) ).
fof(f5306,plain,
~ v_R(v_Z,v_s_H),
inference(cnf_transformation,[],[f5213]) ).
fof(f5213,plain,
~ v_R(v_Z,v_s_H),
inference(flattening,[],[f5212]) ).
fof(f5212,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(negated_conjecture,[],[f5211]) ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5420,plain,
! [X2,X3,X0,X1] :
( v_R(X2,X3)
| ~ v_P(X2,X0)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X3)
| ~ c_Natural_Oevaln(v_c,X0,v_n,X1) ),
inference(resolution,[],[f5312,f5311]) ).
fof(f5311,plain,
! [X2,X0,X1] :
( ~ v_Q(X0,X1)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| v_R(X0,X2) ),
inference(cnf_transformation,[],[f5244]) ).
fof(f5244,plain,
! [X0,X1] :
( ! [X2] :
( v_R(X0,X2)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2) )
| ~ v_Q(X0,X1) ),
inference(ennf_transformation,[],[f5215]) ).
fof(f5215,plain,
! [X0,X1] :
( v_Q(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_d,X1,v_n,X2)
=> v_R(X0,X2) ) ),
inference(rectify,[],[f5207]) ).
fof(f5207,axiom,
! [X8,X9] :
( v_Q(X8,X9)
=> ! [X10] :
( c_Natural_Oevaln(v_d,X9,v_n,X10)
=> v_R(X8,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5312,plain,
! [X2,X0,X1] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5216]) ).
fof(f5216,plain,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_c,X1,v_n,X2)
=> v_Q(X0,X2) ) ),
inference(rectify,[],[f5206]) ).
fof(f5206,axiom,
! [X8,X9] :
( v_P(X8,X9)
=> ! [X10] :
( c_Natural_Oevaln(v_c,X9,v_n,X10)
=> v_Q(X8,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW345+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.11 % Command : run_vampire %s %d THM
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Jun 19 07:56:09 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.34 Running first-order theorem proving
% 0.10/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25507)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25509)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25506)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)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25504)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25508)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25505)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)
% 0.61/0.84 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.84 % (25510)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)
% 0.64/0.87 % (25509)First to succeed.
% 0.64/0.88 % (25509)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25503"
% 0.64/0.88 % (25508)Also succeeded, but the first one will report.
% 0.64/0.88 % (25503)Running in auto input_syntax mode. Trying TPTP
% 0.64/0.88 % (25509)Refutation found. Thanks to Tanya!
% 0.64/0.88 % SZS status Theorem for theBenchmark
% 0.64/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.88 % (25509)------------------------------
% 0.64/0.88 % (25509)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.64/0.88 % (25509)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.64/0.88 % (25509)Termination reason: Refutation
% 0.64/0.88
% 0.64/0.88 % (25509)Memory used [KB]: 6136
% 0.64/0.88 % (25509)Time elapsed: 0.039 s
% 0.64/0.88 % (25509)Instructions burned: 61 (million)
% 0.64/0.88 % (25509)------------------------------
% 0.64/0.88 % (25509)------------------------------
% 0.64/0.88 % (25503)Success in time 0.111 s
%------------------------------------------------------------------------------