%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW958+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:38:06 PM UTC 2026
% Result : Theorem 7.46s 1.84s
% Output : Refutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 100 ( 35 unt; 6 def)
% Number of atoms : 207 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 212 ( 105 ~; 89 |; 4 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,axiom,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax190) ).
fof(f192,axiom,
! [X0] : constr_add(X0,constr_neg(X0)) = constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax191) ).
fof(f193,axiom,
! [X0] : constr_add(X0,constr_ZERO) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
fof(f194,axiom,
! [X0,X1] : constr_add(X0,X1) = constr_add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax193) ).
fof(f195,axiom,
! [X0,X1,X2] : constr_add(X0,constr_add(X1,X2)) = constr_add(constr_add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax194) ).
fof(f205,axiom,
! [X0] :
( pred_attacker(tuple_out_1(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax204) ).
fof(f239,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_5(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax238) ).
fof(f242,axiom,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax241) ).
fof(f243,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_client_A_in_4(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax242) ).
fof(f246,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax245) ).
fof(f248,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax247) ).
fof(f253,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax252) ).
fof(f267,axiom,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax266) ).
fof(f268,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax267) ).
fof(f272,axiom,
! [X0,X1] :
( ( pred_attacker(tuple_client_A_in_2(X0))
& pred_attacker(tuple_client_A_in_1(X1)) )
=> pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax271) ).
fof(f273,axiom,
! [X0,X1,X2] :
( ( pred_attacker(tuple_client_A_in_4(X1,X0))
& pred_attacker(tuple_client_A_in_2(X1))
& pred_attacker(tuple_client_A_in_1(X2)) )
=> pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax272) ).
fof(f277,conjecture,
pred_attacker(name_Sa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f278,negated_conjecture,
~ pred_attacker(name_Sa),
inference(negated_conjecture,[status(cth)],[f277]) ).
fof(f279,plain,
~ pred_attacker(name_Sa),
inference(flattening,[],[f278]) ).
fof(f289,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_1(X0)) ),
inference(ennf_transformation,[],[f205]) ).
fof(f328,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_5(X0)) ),
inference(ennf_transformation,[],[f239]) ).
fof(f332,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_3(X0,X1)) ),
inference(ennf_transformation,[],[f242]) ).
fof(f333,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f243]) ).
fof(f334,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f333]) ).
fof(f337,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f246]) ).
fof(f339,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f248]) ).
fof(f351,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(tuple_client_A_in_1(X1)) ),
inference(ennf_transformation,[],[f272]) ).
fof(f352,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(tuple_client_A_in_1(X1)) ),
inference(flattening,[],[f351]) ).
fof(f353,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_1(X2)) ),
inference(ennf_transformation,[],[f273]) ).
fof(f354,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_1(X2)) ),
inference(flattening,[],[f353]) ).
fof(f551,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f191]) ).
fof(f552,plain,
! [X0] : constr_ZERO = constr_add(X0,constr_neg(X0)),
inference(cnf_transformation,[],[f192]) ).
fof(f553,plain,
! [X0] : constr_add(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f193]) ).
fof(f554,plain,
! [X0,X1] : constr_add(X0,X1) = constr_add(X1,X0),
inference(cnf_transformation,[],[f194]) ).
fof(f555,plain,
! [X2,X0,X1] : constr_add(X0,constr_add(X1,X2)) = constr_add(constr_add(X0,X1),X2),
inference(cnf_transformation,[],[f195]) ).
fof(f565,plain,
! [X0] :
( ~ pred_attacker(tuple_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f599,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f602,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_client_A_out_3(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f603,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f334]) ).
fof(f606,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f608,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f613,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f253]) ).
fof(f626,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f267]) ).
fof(f627,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(cnf_transformation,[],[f268]) ).
fof(f631,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(tuple_client_A_in_1(X1)) ),
inference(cnf_transformation,[],[f352]) ).
fof(f632,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_1(X2)) ),
inference(cnf_transformation,[],[f354]) ).
fof(f636,plain,
~ pred_attacker(name_Sa),
inference(cnf_transformation,[],[f279]) ).
fof(f638,definition,
( spl0_1
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f639,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,definition,
( spl0_2
<=> ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f643,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f632,f641,f638]) ).
fof(f645,definition,
( spl0_3
<=> ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f646,plain,
( ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f648,definition,
( spl0_4
<=> ! [X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f649,plain,
( ! [X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f631,f648,f645]) ).
fof(f664,plain,
! [X0] : constr_add(constr_ZERO,X0) = X0,
inference(superposition,[],[f553,f554]) ).
fof(f674,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(resolution,[],[f606,f646]) ).
fof(f675,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f674,f626]) ).
fof(f677,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f688,plain,
! [X0,X1] : constr_add(constr_ZERO,X1) = constr_add(X0,constr_add(constr_neg(X0),X1)),
inference(superposition,[],[f555,f552]) ).
fof(f691,plain,
! [X0,X1] : constr_add(X0,constr_add(constr_neg(X0),X1)) = X1,
inference(forward_demodulation,[],[f688,f664]) ).
fof(f693,plain,
! [X0,X1] : constr_add(X1,constr_add(X0,constr_neg(X1))) = X0,
inference(superposition,[],[f691,f554]) ).
fof(f939,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),X0))
| ~ pred_attacker(tuple_client_A_in_1(X0)) )
| ~ spl0_4 ),
inference(resolution,[],[f602,f649]) ).
fof(f942,plain,
pred_attacker(constr_pkey(name_skA)),
inference(resolution,[],[f627,f565]) ).
fof(f948,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na)))) )
| ~ spl0_2 ),
inference(resolution,[],[f603,f642]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na)))) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f948,f606]) ).
fof(f951,definition,
( spl0_5
<=> ! [X1] :
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f952,plain,
( ! [X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f954,definition,
( spl0_6
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f955,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f956,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f949,f641,f954,f951]) ).
fof(f1197,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f955,f613]) ).
fof(f1252,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1426,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_add(X0,constr_neg(name_Na))))
| ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) )
| ~ spl0_5 ),
inference(superposition,[],[f952,f551]) ).
fof(f1434,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(X0,constr_add(X1,constr_neg(name_Na)))))
| ~ pred_attacker(constr_aenc(constr_add(X0,X1),constr_pkey(name_skA))) )
| ~ spl0_5 ),
inference(superposition,[],[f1426,f555]) ).
fof(f1651,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(constr_add(X0,X1),constr_pkey(name_skA)))
| pred_attacker(constr_add(X0,constr_add(X1,constr_neg(name_Na)))) )
| ~ spl0_5 ),
inference(resolution,[],[f1434,f599]) ).
fof(f1682,plain,
( pred_attacker(constr_add(name_Na,constr_add(name_Sa,constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA)))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f1651,f939]) ).
fof(f1721,plain,
( pred_attacker(name_Sa)
| ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA)))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1682,f693]) ).
fof(f1729,plain,
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA)))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1721,f636]) ).
fof(f1731,plain,
( ~ pred_attacker(constr_pkey(name_skA))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f1729,f608]) ).
fof(f1732,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1731,f942]) ).
fof(f1733,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1734,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_1 ),
inference(resolution,[],[f639,f608]) ).
fof(f1735,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1734,f638,f954]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f643]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f650]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f677]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f956]) ).
cnf(s22,plain,
~ spl0_6,
inference(sat_conversion,[],[f1252]) ).
cnf(s29,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s30,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s31,plain,
~ spl0_1,
inference(rat,[],[s30,s22]) ).
cnf(s37,plain,
( ~ spl0_2
| spl0_5 ),
inference(rat,[],[s4,s22]) ).
cnf(s38,plain,
spl0_4,
inference(rat,[],[s2,s3]) ).
cnf(s39,plain,
~ spl0_5,
inference(rat,[],[s29,s38]) ).
cnf(s41,plain,
~ spl0_2,
inference(rat,[],[s37,s39]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s1,s41,s31]) ).
fof(f1736,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW958+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n007.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:45:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.46/1.84 % (2437794)Detected formulas, will run a generic FOF schedule.
% 7.46/1.84 % (2437803)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3197841470:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.46/1.84 % (2437803)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437803)------------------------------
% 7.46/1.84 % (2437803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437803)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437803)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437803)Time elapsed: 0.001 s
% 7.46/1.84 % (2437803)Peak memory usage: 87 MB
% 7.46/1.84 % (2437803)Instructions burned: 2 (million)
% 7.46/1.84 % (2437799)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2270375089:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.46/1.84 % (2437800)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2873709532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.46/1.84 % (2437804)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2493449599:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.46/1.84 % (2437805)dis-21_1_sil=8000:lcm=predicate:random_seed=2589810753:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.46/1.84 % (2437801)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3661113504:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.46/1.84 % (2437802)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1007667695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.46/1.84 % (2437802)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437802)------------------------------
% 7.46/1.84 % (2437802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437802)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437802)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437802)Time elapsed: 0.001 s
% 7.46/1.84 % (2437802)Peak memory usage: 87 MB
% 7.46/1.84 % (2437805)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437805)------------------------------
% 7.46/1.84 % (2437805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437805)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437805)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437805)Time elapsed: 0.009 s
% 7.46/1.84 % (2437805)Peak memory usage: 88 MB
% 7.46/1.84 % (2437805)Instructions burned: 15 (million)
% 7.46/1.84 % (2437804)Instruction limit reached!
% 7.46/1.84 % (2437804)------------------------------
% 7.46/1.84 % (2437804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437804)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437804)Termination reason: Instruction limit
% 7.46/1.84 % (2437804)Termination phase: Saturation
% 7.46/1.84 % (2437804)Time elapsed: 0.083 s
% 7.46/1.84 % (2437804)Peak memory usage: 89 MB
% 7.46/1.84 % (2437804)Instructions burned: 140 (million)
% 7.46/1.84 % (2437803)------------------------------
% 7.46/1.84 % (2437803)------------------------------
% 7.46/1.84 % (2437814)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2473627712:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.46/1.84 % (2437814)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437814)------------------------------
% 7.46/1.84 % (2437814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437814)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437814)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437814)Time elapsed: 0.001 s
% 7.46/1.84 % (2437814)Peak memory usage: 88 MB
% 7.46/1.84 % (2437814)Instructions burned: 1 (million)
% 7.46/1.84 % (2437813)lrs+10_1_sil=8000:sp=occurrence:random_seed=3537385191:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.46/1.84 % (2437813)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437813)------------------------------
% 7.46/1.84 % (2437813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437813)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437813)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437813)Time elapsed: 0.002 s
% 7.46/1.84 % (2437813)Peak memory usage: 88 MB
% 7.46/1.84 % (2437813)Instructions burned: 2 (million)
% 7.46/1.84 % (2437802)------------------------------
% 7.46/1.84 % (2437802)------------------------------
% 7.46/1.84 % (2437805)------------------------------
% 7.46/1.84 % (2437805)------------------------------
% 7.46/1.84 % (2437814)------------------------------
% 7.46/1.84 % (2437814)------------------------------
% 7.46/1.84 % (2437817)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2669262975:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.46/1.84 % (2437817)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437817)------------------------------
% 7.46/1.84 % (2437817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437817)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437817)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437817)Time elapsed: 0.002 s
% 7.46/1.84 % (2437817)Peak memory usage: 88 MB
% 7.46/1.84 % (2437817)Instructions burned: 1 (million)
% 7.46/1.84 % (2437818)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1468019487:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.46/1.84 % (2437813)------------------------------
% 7.46/1.84 % (2437813)------------------------------
% 7.46/1.84 % (2437819)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=602345023:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.46/1.84 % (2437819)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437819)------------------------------
% 7.46/1.84 % (2437819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437819)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437819)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437819)Time elapsed: 0.001 s
% 7.46/1.84 % (2437819)Peak memory usage: 88 MB
% 7.46/1.84 % (2437819)Instructions burned: 3 (million)
% 7.46/1.84 % (2437818)Instruction limit reached!
% 7.46/1.84 % (2437818)------------------------------
% 7.46/1.84 % (2437818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437818)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437818)Termination reason: Instruction limit
% 7.46/1.84 % (2437818)Termination phase: Saturation
% 7.46/1.84 % (2437818)Time elapsed: 0.128 s
% 7.46/1.84 % (2437818)Peak memory usage: 96 MB
% 7.46/1.84 % (2437818)Instructions burned: 249 (million)
% 7.46/1.84 % (2437822)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1396876796:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.46/1.84 % (2437817)------------------------------
% 7.46/1.84 % (2437817)------------------------------
% 7.46/1.84 % (2437819)------------------------------
% 7.46/1.84 % (2437819)------------------------------
% 7.46/1.84 % (2437799)First to succeed.
% 7.46/1.84 % (2437799)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2437794"
% 7.46/1.84 % (2437824)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=39860205:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.46/1.84 % (2437824)Instruction limit reached!
% 7.46/1.84 % (2437824)------------------------------
% 7.46/1.84 % (2437824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437824)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437824)Termination reason: Instruction limit
% 7.46/1.84 % (2437824)Termination phase: Saturation
% 7.46/1.84 % (2437824)Time elapsed: 0.058 s
% 7.46/1.84 % (2437824)Peak memory usage: 90 MB
% 7.46/1.84 % (2437824)Instructions burned: 113 (million)
% 7.46/1.84 % (2437827)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1702382146:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.46/1.84 % (2437827)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437827)------------------------------
% 7.46/1.84 % (2437827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437827)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437827)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437827)Time elapsed: 0.001 s
% 7.46/1.84 % (2437827)Peak memory usage: 88 MB
% 7.46/1.84 % (2437827)Instructions burned: 2 (million)
% 7.46/1.84 % (2437826)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2140357767:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.46/1.84 % (2437826)Instruction limit reached!
% 7.46/1.84 % (2437826)------------------------------
% 7.46/1.84 % (2437826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437826)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437826)Termination reason: Instruction limit
% 7.46/1.84 % (2437826)Termination phase: Saturation
% 7.46/1.84 % (2437826)Time elapsed: 0.058 s
% 7.46/1.84 % (2437826)Peak memory usage: 89 MB
% 7.46/1.84 % (2437826)Instructions burned: 127 (million)
% 7.46/1.84 % (2437829)lrs+10_1_sil=8000:sp=occurrence:random_seed=2467973292:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.46/1.84 % (2437829)Refutation not found, incomplete strategy
% 7.46/1.84 % (2437829)------------------------------
% 7.46/1.84 % (2437829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/1.84 % (2437829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.84 % (2437829)CaDiCaL version: 2.1.3
% 7.46/1.84 % (2437829)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.84 % (2437829)Time elapsed: 0.004 s
% 7.46/1.84 % (2437829)Peak memory usage: 88 MB
% 7.46/1.84 % (2437829)Instructions burned: 6 (million)
% 7.46/1.84 % (2437827)------------------------------
% 7.46/1.84 % (2437827)------------------------------
% 7.46/1.84 % (2437799)Refutation found. Thanks to Tanya!
% 7.46/1.84 % SZS status Theorem for theBenchmark
% 7.46/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 8.64/1.93 % (2437799)------------------------------
% 8.64/1.93 % (2437799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.93 % (2437799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.93 % (2437799)CaDiCaL version: 2.1.3
% 8.64/1.93 % (2437799)Termination reason: Refutation
% 8.64/1.93 % (2437799)Time elapsed: 0.703 s
% 8.64/1.93 % (2437799)Peak memory usage: 129 MB
% 8.64/1.93 % (2437799)Instructions burned: 1049 (million)
% 8.64/1.93 % (2437799)------------------------------
% 8.64/1.93 % (2437799)------------------------------
% 8.64/1.93 % (2437794)Success in time 1.151 s
% 8.64/1.93 % Vampire exiting
%------------------------------------------------------------------------------