TSTP Solution File: SWW950+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW950+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 18:47:11 EDT 2024
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 10 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 100 ( 46 ~; 35 |; 4 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f451,plain,
$false,
inference(avatar_sat_refutation,[],[f205,f231,f444,f450]) ).
fof(f450,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f448,f119]) ).
fof(f119,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f77]) ).
fof(f77,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f76]) ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f448,plain,
( pred_attacker(name_objective)
| ~ spl0_1 ),
inference(resolution,[],[f198,f182]) ).
fof(f182,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X11] :
( pred_attacker(tuple_T_out_4(X11))
=> pred_attacker(X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f198,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_1
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f444,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f372,f122]) ).
fof(f122,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f372,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f364,f252]) ).
fof(f252,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f204,f190]) ).
fof(f190,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X14,X15] :
( ( pred_attacker(X15)
& pred_attacker(X14) )
=> pred_attacker(tuple_T_in_3(X14,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f204,plain,
( ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl0_3
<=> ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f364,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))) ),
inference(resolution,[],[f279,f183]) ).
fof(f183,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_2(X0)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X13] :
( pred_attacker(tuple_T_out_2(X13))
=> pred_attacker(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f279,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(X0) ),
inference(resolution,[],[f185,f181]) ).
fof(f181,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X20] :
( pred_attacker(X20)
=> pred_attacker(tuple_T_in_1(X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f185,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X28] :
( pred_attacker(tuple_T_in_1(X28))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X28,constr_xor(name_k0x30,name_ki))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f231,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f206,f122]) ).
fof(f206,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_2 ),
inference(resolution,[],[f181,f201]) ).
fof(f201,plain,
( ! [X1] : ~ pred_attacker(tuple_T_in_1(X1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_2
<=> ! [X1] : ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f205,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f193,f203,f200,f196]) ).
fof(f193,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X1))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( pred_attacker(tuple_T_in_1(X1))
& pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X29,X30] :
( ( pred_attacker(tuple_T_in_1(X30))
& pred_attacker(tuple_T_in_3(X29,constr_h(constr_xor(X29,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW950+1 : TPTP v8.2.0. Released v7.4.0.
% 0.04/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Jun 19 05:06:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.38 Running first-order theorem proving
% 0.22/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.44 % (18081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (18088)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.23/0.45 % (18088)First to succeed.
% 0.23/0.46 % (18088)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18081"
% 0.23/0.46 % (18081)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (18088)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for theBenchmark
% 0.23/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46 % (18088)------------------------------
% 0.23/0.46 % (18088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46 % (18088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46 % (18088)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (18088)Memory used [KB]: 1273
% 0.23/0.46 % (18088)Time elapsed: 0.011 s
% 0.23/0.46 % (18088)Instructions burned: 16 (million)
% 0.23/0.46 % (18088)------------------------------
% 0.23/0.46 % (18088)------------------------------
% 0.23/0.46 % (18081)Success in time 0.068 s
%------------------------------------------------------------------------------