TSTP Solution File: SWW299+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW299+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 0.49s 0.77s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 113 ( 44 ~; 33 |; 17 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-4 aty)
% Number of variables : 78 ( 62 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5579,plain,
$false,
inference(avatar_sat_refutation,[],[f5571,f5578]) ).
fof(f5578,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f5577]) ).
fof(f5577,plain,
( $false
| ~ spl15_1 ),
inference(subsumption_resolution,[],[f5576,f5395]) ).
fof(f5395,plain,
v_P(sK1,sK2),
inference(cnf_transformation,[],[f5350]) ).
fof(f5350,plain,
( ! [X2,X3] :
( ( ~ v_Q(sK1,sK3(X2,X3))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& v_P(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5298,f5349,f5348]) ).
fof(f5348,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ v_Q(X0,X4)
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& v_P(X0,X1) )
=> ( ! [X3,X2] :
( ? [X4] :
( ~ v_Q(sK1,X4)
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& v_P(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f5349,plain,
! [X2,X3] :
( ? [X4] :
( ~ v_Q(sK1,X4)
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
=> ( ~ v_Q(sK1,sK3(X2,X3))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5298,plain,
? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ v_Q(X0,X4)
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5226]) ).
fof(f5226,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ? [X2,X3] :
( ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> v_Q(X0,X4) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(rectify,[],[f5225]) ).
fof(f5225,negated_conjecture,
~ ! [X299,X300] :
( v_P(X299,X300)
=> ? [X303,X304] :
( ! [X301] :
( ! [X302] :
( hBOOL(hAPP(hAPP(X303,X302),X300))
=> hBOOL(hAPP(hAPP(X304,X302),X301)) )
=> v_Q(X299,X301) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X303,v_c,X304)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(negated_conjecture,[],[f5224]) ).
fof(f5224,conjecture,
! [X299,X300] :
( v_P(X299,X300)
=> ? [X303,X304] :
( ! [X301] :
( ! [X302] :
( hBOOL(hAPP(hAPP(X303,X302),X300))
=> hBOOL(hAPP(hAPP(X304,X302),X301)) )
=> v_Q(X299,X301) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X303,v_c,X304)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5576,plain,
( ~ v_P(sK1,sK2)
| ~ spl15_1 ),
inference(resolution,[],[f5570,f5554]) ).
fof(f5554,plain,
~ v_Q(sK1,sK3(v_P_H,v_Q_H)),
inference(resolution,[],[f5397,f5398]) ).
fof(f5398,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5222]) ).
fof(f5222,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5397,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ v_Q(sK1,sK3(X2,X3)) ),
inference(cnf_transformation,[],[f5350]) ).
fof(f5570,plain,
( ! [X1] :
( v_Q(X1,sK3(v_P_H,v_Q_H))
| ~ v_P(X1,sK2) )
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f5569]) ).
fof(f5569,plain,
( spl15_1
<=> ! [X1] :
( v_Q(X1,sK3(v_P_H,v_Q_H))
| ~ v_P(X1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f5571,plain,
( spl15_1
| spl15_1 ),
inference(avatar_split_clause,[],[f5567,f5569,f5569]) ).
fof(f5567,plain,
! [X0,X1] :
( v_Q(X0,sK3(v_P_H,v_Q_H))
| ~ v_P(X0,sK2)
| v_Q(X1,sK3(v_P_H,v_Q_H))
| ~ v_P(X1,sK2) ),
inference(resolution,[],[f5562,f5399]) ).
fof(f5399,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_P_H,sK4(X1,X2)),X1))
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5352]) ).
fof(f5352,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ( ~ hBOOL(hAPP(hAPP(v_Q_H,sK4(X1,X2)),X2))
& hBOOL(hAPP(hAPP(v_P_H,sK4(X1,X2)),X1)) ) )
| ~ v_P(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f5299,f5351]) ).
fof(f5351,plain,
! [X1,X2] :
( ? [X3] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X3),X2))
& hBOOL(hAPP(hAPP(v_P_H,X3),X1)) )
=> ( ~ hBOOL(hAPP(hAPP(v_Q_H,sK4(X1,X2)),X2))
& hBOOL(hAPP(hAPP(v_P_H,sK4(X1,X2)),X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f5299,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ? [X3] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X3),X2))
& hBOOL(hAPP(hAPP(v_P_H,X3),X1)) ) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5227]) ).
fof(f5227,plain,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP(v_P_H,X3),X1))
=> hBOOL(hAPP(hAPP(v_Q_H,X3),X2)) )
=> v_Q(X0,X2) ) ),
inference(rectify,[],[f5223]) ).
fof(f5223,axiom,
! [X299,X300] :
( v_P(X299,X300)
=> ! [X301] :
( ! [X302] :
( hBOOL(hAPP(hAPP(v_P_H,X302),X300))
=> hBOOL(hAPP(hAPP(v_Q_H,X302),X301)) )
=> v_Q(X299,X301) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5562,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P_H,sK4(X0,sK3(v_P_H,v_Q_H))),sK2))
| v_Q(X1,sK3(v_P_H,v_Q_H))
| ~ v_P(X1,X0) ),
inference(resolution,[],[f5558,f5400]) ).
fof(f5400,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,sK4(X1,X2)),X2))
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5352]) ).
fof(f5558,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),sK3(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),sK2)) ),
inference(resolution,[],[f5396,f5398]) ).
fof(f5396,plain,
! [X2,X3,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2))
| hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3))) ),
inference(cnf_transformation,[],[f5350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW299+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:50:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.35 This is a FOF_CAX_RFO_SEQ problem
% 0.20/0.35 Running first-order theorem proving
% 0.20/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17362)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17364)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)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17365)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17366)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17367)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17368)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)
% 0.49/0.72 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.72 % (17363)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)
% 0.49/0.76 % (17366)First to succeed.
% 0.49/0.76 % (17366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17361"
% 0.49/0.77 % (17361)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.77 % (17366)Refutation found. Thanks to Tanya!
% 0.49/0.77 % SZS status Theorem for theBenchmark
% 0.49/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.77 % (17366)------------------------------
% 0.49/0.77 % (17366)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.49/0.77 % (17366)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.49/0.77 % (17366)Termination reason: Refutation
% 0.49/0.77
% 0.49/0.77 % (17366)Memory used [KB]: 6287
% 0.49/0.77 % (17366)Time elapsed: 0.047 s
% 0.49/0.77 % (17366)Instructions burned: 65 (million)
% 0.49/0.77 % (17366)------------------------------
% 0.49/0.77 % (17366)------------------------------
% 0.49/0.77 % (17361)Success in time 0.123 s
%------------------------------------------------------------------------------