TSTP Solution File: SWW342+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW342+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 0.46s 0.74s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 34 ( 12 ~; 2 |; 10 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5511,plain,
$false,
inference(subsumption_resolution,[],[f5510,f5383]) ).
fof(f5383,plain,
v_P(sK0,sK1),
inference(cnf_transformation,[],[f5344]) ).
fof(f5344,plain,
( ~ v_P(sK0,sK2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,sK2)
& v_P(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5282,f5343,f5342]) ).
fof(f5342,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_P(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2) )
& v_P(X0,X1) )
=> ( ? [X2] :
( ~ v_P(sK0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,X2) )
& v_P(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f5343,plain,
( ? [X2] :
( ~ v_P(sK0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,X2) )
=> ( ~ v_P(sK0,sK2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f5282,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_P(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5208]) ).
fof(f5208,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2)
=> v_P(X0,X2) ) ),
inference(rectify,[],[f5207]) ).
fof(f5207,negated_conjecture,
~ ! [X13,X14] :
( v_P(X13,X14)
=> ! [X15] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X14,v_n,X15)
=> v_P(X13,X15) ) ),
inference(negated_conjecture,[],[f5206]) ).
fof(f5206,conjecture,
! [X13,X14] :
( v_P(X13,X14)
=> ! [X15] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X14,v_n,X15)
=> v_P(X13,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5510,plain,
~ v_P(sK0,sK1),
inference(backward_demodulation,[],[f5385,f5508]) ).
fof(f5508,plain,
sK1 = sK2,
inference(resolution,[],[f5384,f5411]) ).
fof(f5411,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f5293]) ).
fof(f5293,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0) ),
inference(ennf_transformation,[],[f5219]) ).
fof(f5219,plain,
! [X0,X1,X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
=> X0 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X3,X4] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X4,X3,X5)
=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5384,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,sK2),
inference(cnf_transformation,[],[f5344]) ).
fof(f5385,plain,
~ v_P(sK0,sK2),
inference(cnf_transformation,[],[f5344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWW342+1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.11 % Command : run_vampire %s %d THM
% 0.10/0.32 % Computer : n025.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 09:58:24 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
% 0.46/0.68 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.68 % (3943)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3948)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3946)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3947)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3945)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)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3949)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)
% 0.46/0.70 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70 % (3944)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)
% 0.46/0.74 % (3947)First to succeed.
% 0.46/0.74 % (3947)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3940"
% 0.46/0.74 % (3940)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.74 % (3947)Refutation found. Thanks to Tanya!
% 0.46/0.74 % SZS status Theorem for theBenchmark
% 0.46/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.74 % (3947)------------------------------
% 0.46/0.74 % (3947)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.46/0.74 % (3947)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.46/0.74 % (3947)Termination reason: Refutation
% 0.46/0.74
% 0.46/0.74 % (3947)Memory used [KB]: 6446
% 0.46/0.74 % (3947)Time elapsed: 0.039 s
% 0.46/0.74 % (3947)Instructions burned: 64 (million)
% 0.46/0.74 % (3947)------------------------------
% 0.46/0.74 % (3947)------------------------------
% 0.46/0.74 % (3940)Success in time 0.11 s
%------------------------------------------------------------------------------