%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 01:45:14 PM UTC 2026
% Result : Theorem 11.25s 4.28s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 37 unt; 2 def)
% Number of atoms : 141 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 122 ( 64 ~; 46 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0] : constr_xor(X0,X0) = constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f93,axiom,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f94,axiom,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f95,axiom,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f96,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_xor(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f103,axiom,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
fof(f104,axiom,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(f106,axiom,
! [X0] :
( pred_attacker(tuple_sess_1_out_1(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(f112,axiom,
! [X0] :
( pred_attacker(tuple_R_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
fof(f117,axiom,
! [X0,X1] :
( pred_attacker(tuple_R_out_1(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
fof(f118,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_R_in_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
fof(f132,axiom,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
fof(f133,axiom,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
fof(f135,axiom,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(f137,axiom,
! [X0] :
( pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
=> pred_attacker(tuple_R_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
fof(f138,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f139,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f138]) ).
fof(f140,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f139]) ).
fof(f142,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f143,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f142]) ).
fof(f150,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f103]) ).
fof(f151,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f104]) ).
fof(f153,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_1(X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f158,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f164,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_1(X0,X1)) ),
inference(ennf_transformation,[],[f117]) ).
fof(f165,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f166,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f165]) ).
fof(f174,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
inference(ennf_transformation,[],[f137]) ).
fof(f266,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f92]) ).
fof(f267,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f93]) ).
fof(f268,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f269,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f95]) ).
fof(f270,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f277,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f278,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f280,plain,
! [X0] :
( ~ pred_attacker(tuple_sess_1_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f286,plain,
! [X0] :
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f291,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_R_out_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f292,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f305,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(cnf_transformation,[],[f132]) ).
fof(f306,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
inference(cnf_transformation,[],[f133]) ).
fof(f308,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(cnf_transformation,[],[f135]) ).
fof(f310,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f311,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f140]) ).
fof(f313,definition,
( spl0_1
<=> pred_attacker(tuple_R_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f315,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl0_2
<=> ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f318,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f310,f317,f313]) ).
fof(f321,plain,
pred_attacker(name_r1_s1),
inference(resolution,[],[f280,f305]) ).
fof(f326,plain,
pred_attacker(name_r1),
inference(resolution,[],[f291,f308]) ).
fof(f327,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f268,f267]) ).
fof(f349,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
inference(superposition,[],[f269,f266]) ).
fof(f357,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X1,constr_xor(X2,X0)),
inference(superposition,[],[f269,f268]) ).
fof(f365,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1,
inference(forward_demodulation,[],[f349,f327]) ).
fof(f370,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)),constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))))))),
inference(forward_demodulation,[],[f306,f268]) ).
fof(f371,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1)))))))),
inference(forward_demodulation,[],[f370,f268]) ).
fof(f372,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(constr_xor(name_r1,X0),name_k)),constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f318,f268]) ).
fof(f373,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f372,f268]) ).
fof(f374,plain,
pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))))))),
inference(resolution,[],[f371,f278]) ).
fof(f375,plain,
pred_attacker(name_r2_s1),
inference(resolution,[],[f371,f277]) ).
fof(f387,plain,
! [X2,X0,X1] : constr_xor(X1,constr_xor(X2,constr_xor(constr_xor(X1,X2),X0))) = X0,
inference(superposition,[],[f269,f365]) ).
fof(f388,plain,
! [X2,X0,X1] : constr_xor(X1,constr_xor(X2,constr_xor(X1,constr_xor(X2,X0)))) = X0,
inference(forward_demodulation,[],[f387,f269]) ).
fof(f407,plain,
( ! [X0] :
( ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f373,f292]) ).
fof(f588,plain,
! [X2,X0,X1] : constr_xor(X2,X0) = constr_xor(X1,constr_xor(X0,constr_xor(X1,X2))),
inference(superposition,[],[f365,f357]) ).
fof(f974,plain,
( ! [X0] :
( ~ pred_attacker(constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0)))))
| ~ pred_attacker(constr_xor(name_k,constr_xor(name_r1,X0))) )
| ~ spl0_2 ),
inference(superposition,[],[f407,f388]) ).
fof(f132137,plain,
( ~ pred_attacker(constr_xor(name_k,constr_xor(name_r1,constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1)))))
| ~ spl0_2 ),
inference(resolution,[],[f974,f374]) ).
fof(f132139,plain,
( ~ pred_attacker(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_r1))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f132137,f588]) ).
fof(f132140,plain,
( ~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f132139,f268]) ).
fof(f132209,plain,
( ~ pred_attacker(name_r1)
| ~ pred_attacker(constr_xor(name_r1_s1,name_r2_s1))
| ~ spl0_2 ),
inference(resolution,[],[f132140,f270]) ).
fof(f132210,plain,
( ~ pred_attacker(constr_xor(name_r1_s1,name_r2_s1))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f132209,f326]) ).
fof(f132213,plain,
( ~ pred_attacker(name_r1_s1)
| ~ pred_attacker(name_r2_s1)
| ~ spl0_2 ),
inference(resolution,[],[f132210,f270]) ).
fof(f132214,plain,
( ~ pred_attacker(name_r2_s1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f132213,f321]) ).
fof(f132219,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f132214,f375]) ).
fof(f132220,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f132219]) ).
fof(f132223,plain,
( pred_attacker(name_objective)
| ~ spl0_1 ),
inference(resolution,[],[f315,f286]) ).
fof(f132276,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f132223,f311]) ).
fof(f132277,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f132276]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f319]) ).
cnf(s10,plain,
~ spl0_2,
inference(sat_conversion,[],[f132220]) ).
cnf(s11,plain,
~ spl0_1,
inference(sat_conversion,[],[f132277]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s10,s11]) ).
fof(f132278,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:50:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.02/2.26 % (3445020)Will run a generic schedule for satisfiability detection.
% 14.02/2.26 % (3445028)dis+10_1_sil=32000:sp=arity:random_seed=2688268977:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.02/2.26 % (3445026)% WARNING: option uhcvi not known.
% 14.02/2.26 % (3445025)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3697944645_2999 on theBenchmark for (2999ds/0Mi)
% 14.02/2.26 % (3445027)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2386025540:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.02/2.26 % (3445026)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2444236334:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.02/2.26 % (3445029)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4192970169:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.02/2.26 % (3445031)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1019932400:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.02/2.26 % (3445030)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=942833872:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.26 % Detected minimum model sizes of [14]
% 14.02/2.26 % Detected maximum model sizes of [max]
% 14.02/2.26 % TRYING [14]
% 14.02/2.26 % (3445028)Instruction limit reached!
% 14.02/2.26 % (3445028)------------------------------
% 14.02/2.26 % (3445028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.26 % (3445028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.26 % (3445028)CaDiCaL version: 2.1.3
% 14.02/2.26 % (3445028)Termination reason: Instruction limit
% 14.02/2.26 % (3445028)Termination phase: Saturation
% 14.02/2.26 % (3445028)Time elapsed: 0.031 s
% 14.02/2.26 % (3445028)Peak memory usage: 14 MB
% 14.02/2.26 % (3445028)Instructions burned: 104 (million)
% 14.02/2.26 % (3445039)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2518842356:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.02/2.26 % Detected minimum model sizes of [14]
% 14.02/2.26 % Detected maximum model sizes of [max]
% 14.02/2.26 % TRYING [14]
% 14.02/2.26 % (3445029)Instruction limit reached!
% 14.02/2.26 % (3445029)------------------------------
% 14.02/2.26 % (3445029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.26 % (3445029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.26 % (3445029)CaDiCaL version: 2.1.3
% 14.02/2.26 % (3445029)Termination reason: Instruction limit
% 14.02/2.26 % (3445029)Termination phase: Saturation
% 14.02/2.26 % (3445029)Time elapsed: 0.066 s
% 14.02/2.26 % (3445029)Peak memory usage: 12 MB
% 14.02/2.26 % (3445029)Instructions burned: 117 (million)
% 14.02/2.26 % (3445030)Instruction limit reached!
% 14.02/2.26 % (3445030)------------------------------
% 14.02/2.26 % (3445030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.26 % (3445030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.26 % (3445030)CaDiCaL version: 2.1.3
% 14.02/2.26 % (3445030)Termination reason: Instruction limit
% 14.02/2.26 % (3445030)Termination phase: Saturation
% 14.02/2.26 % (3445030)Time elapsed: 0.069 s
% 14.02/2.26 % (3445030)Peak memory usage: 14 MB
% 14.02/2.26 % (3445030)Instructions burned: 132 (million)
% 14.02/2.26 % (3445031)Instruction limit reached!
% 14.02/2.26 % (3445031)------------------------------
% 14.02/2.26 % (3445031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.26 % (3445031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.26 % (3445031)CaDiCaL version: 2.1.3
% 14.02/2.26 % (3445031)Termination reason: Instruction limit
% 14.02/2.26 % (3445031)Termination phase: Saturation
% 14.02/2.26 % (3445031)Time elapsed: 0.080 s
% 14.02/2.26 % (3445031)Peak memory usage: 13 MB
% 14.02/2.26 % (3445031)Instructions burned: 159 (million)
% 14.02/2.26 % (3445041)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1681467828:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.26 % (3445042)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3261729297:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.02/2.26 % (3445043)ott-21_1_sil=16000:fs=off:random_seed=4044360100:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.02/2.26 % (3445041)Instruction limit reached!
% 14.02/2.26 % (3445041)------------------------------
% 14.02/2.26 % (3445041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445041)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445041)Termination reason: Instruction limit
% 11.25/4.28 % (3445041)Termination phase: Saturation
% 11.25/4.28 % (3445041)Time elapsed: 0.076 s
% 11.25/4.28 % (3445041)Peak memory usage: 15 MB
% 11.25/4.28 % (3445041)Instructions burned: 132 (million)
% 11.25/4.28 % (3445039)Instruction limit reached!
% 11.25/4.28 % (3445039)------------------------------
% 11.25/4.28 % (3445039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445039)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445039)Termination reason: Instruction limit
% 11.25/4.28 % (3445039)Termination phase: Finite model building constraint generation
% 11.25/4.28 % (3445039)Time elapsed: 0.133 s
% 11.25/4.28 % (3445039)Peak memory usage: 56 MB
% 11.25/4.28 % (3445039)Instructions burned: 721 (million)
% 11.25/4.28 % (3445043)Instruction limit reached!
% 11.25/4.28 % (3445043)------------------------------
% 11.25/4.28 % (3445043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445043)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445043)Termination reason: Instruction limit
% 11.25/4.28 % (3445043)Termination phase: Saturation
% 11.25/4.28 % (3445043)Time elapsed: 0.075 s
% 11.25/4.28 % (3445043)Peak memory usage: 12 MB
% 11.25/4.28 % (3445043)Instructions burned: 180 (million)
% 11.25/4.28 % (3445048)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2427314638:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.25/4.28 % (3445047)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=861986915:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % (3445049)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4209157455:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.25/4.28 % TRYING [14]
% 11.25/4.28 % (3445048)Instruction limit reached!
% 11.25/4.28 % (3445048)------------------------------
% 11.25/4.28 % (3445048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445048)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445048)Termination reason: Instruction limit
% 11.25/4.28 % (3445048)Termination phase: Finite model building constraint generation
% 11.25/4.28 % (3445048)Time elapsed: 0.167 s
% 11.25/4.28 % (3445048)Peak memory usage: 72 MB
% 11.25/4.28 % (3445048)Instructions burned: 866 (million)
% 11.25/4.28 % (3445053)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3397633394:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 11.25/4.28 % TRYING [14]
% 11.25/4.28 % (3445047)Instruction limit reached!
% 11.25/4.28 % (3445047)------------------------------
% 11.25/4.28 % (3445047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445047)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445047)Termination reason: Instruction limit
% 11.25/4.28 % (3445047)Termination phase: Saturation
% 11.25/4.28 % (3445047)Time elapsed: 0.233 s
% 11.25/4.28 % (3445047)Peak memory usage: 14 MB
% 11.25/4.28 % (3445047)Instructions burned: 477 (million)
% 11.25/4.28 % (3445055)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2779314826:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 11.25/4.28 % (3445042)Instruction limit reached!
% 11.25/4.28 % (3445042)------------------------------
% 11.25/4.28 % (3445042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445042)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445042)Termination reason: Instruction limit
% 11.25/4.28 % (3445042)Termination phase: Saturation
% 11.25/4.28 % (3445042)Time elapsed: 0.357 s
% 11.25/4.28 % (3445042)Peak memory usage: 15 MB
% 11.25/4.28 % (3445042)Instructions burned: 686 (million)
% 11.25/4.28 % (3445057)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1230887299:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 11.25/4.28 % (3445053)Instruction limit reached!
% 11.25/4.28 % (3445053)------------------------------
% 11.25/4.28 % (3445053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445053)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445053)Termination reason: Instruction limit
% 11.25/4.28 % (3445053)Termination phase: Finite model building constraint generation
% 11.25/4.28 % (3445053)Time elapsed: 0.185 s
% 11.25/4.28 % (3445053)Peak memory usage: 81 MB
% 11.25/4.28 % (3445053)Instructions burned: 890 (million)
% 11.25/4.28 % (3445059)fmb+10_1_sil=64000:random_seed=2918780296:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % TRYING [14]
% 11.25/4.28 % (3445049)Instruction limit reached!
% 11.25/4.28 % (3445049)------------------------------
% 11.25/4.28 % (3445049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445049)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445049)Termination reason: Instruction limit
% 11.25/4.28 % (3445049)Termination phase: Saturation
% 11.25/4.28 % (3445049)Time elapsed: 0.587 s
% 11.25/4.28 % (3445049)Peak memory usage: 33 MB
% 11.25/4.28 % (3445049)Instructions burned: 1180 (million)
% 11.25/4.28 % (3445061)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4247219126:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % TRYING [20]
% 11.25/4.28 % (3445055)Instruction limit reached!
% 11.25/4.28 % (3445055)------------------------------
% 11.25/4.28 % (3445055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445055)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445055)Termination reason: Instruction limit
% 11.25/4.28 % (3445055)Termination phase: Saturation
% 11.25/4.28 % (3445055)Time elapsed: 0.385 s
% 11.25/4.28 % (3445055)Peak memory usage: 23 MB
% 11.25/4.28 % (3445055)Instructions burned: 693 (million)
% 11.25/4.28 % (3445063)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=727203944:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % TRYING [14]
% 11.25/4.28 % (3445057)Instruction limit reached!
% 11.25/4.28 % (3445057)------------------------------
% 11.25/4.28 % (3445057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445057)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445057)Termination reason: Instruction limit
% 11.25/4.28 % (3445057)Termination phase: Saturation
% 11.25/4.28 % (3445057)Time elapsed: 0.425 s
% 11.25/4.28 % (3445057)Peak memory usage: 16 MB
% 11.25/4.28 % (3445057)Instructions burned: 879 (million)
% 11.25/4.28 % (3445065)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3798419135:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 11.25/4.28 % (3445063)Instruction limit reached!
% 11.25/4.28 % (3445063)------------------------------
% 11.25/4.28 % (3445063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445063)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445063)Termination reason: Instruction limit
% 11.25/4.28 % (3445063)Termination phase: Finite model building constraint generation
% 11.25/4.28 % (3445063)Time elapsed: 0.331 s
% 11.25/4.28 % (3445063)Peak memory usage: 74 MB
% 11.25/4.28 % (3445063)Instructions burned: 922 (million)
% 11.25/4.28 % (3445067)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3751487209:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 11.25/4.28 % (3445067)Instruction limit reached!
% 11.25/4.28 % (3445067)------------------------------
% 11.25/4.28 % (3445067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445067)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445067)Termination reason: Instruction limit
% 11.25/4.28 % (3445067)Termination phase: Saturation
% 11.25/4.28 % (3445067)Time elapsed: 0.800 s
% 11.25/4.28 % (3445067)Peak memory usage: 27 MB
% 11.25/4.28 % (3445067)Instructions burned: 1474 (million)
% 11.25/4.28 % (3445069)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3654505548:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % TRYING [77]
% 11.25/4.28 % (3445065)Instruction limit reached!
% 11.25/4.28 % (3445065)------------------------------
% 11.25/4.28 % (3445065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445065)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445065)Termination reason: Instruction limit
% 11.25/4.28 % (3445065)Termination phase: Saturation
% 11.25/4.28 % (3445065)Time elapsed: 2.593 s
% 11.25/4.28 % (3445065)Peak memory usage: 66 MB
% 11.25/4.28 % (3445065)Instructions burned: 5131 (million)
% 11.25/4.28 % (3445071)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1146017667:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 11.25/4.28 % Detected minimum model sizes of [14]
% 11.25/4.28 % Detected maximum model sizes of [max]
% 11.25/4.28 % TRYING [16]
% 11.25/4.28 % (3445026) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3445020-3445026"...
% 11.25/4.28 % (3445026)...printing done.
% 11.25/4.28 % (3445026)Refutation found. Thanks to Tanya!
% 11.25/4.28 % SZS status Theorem for theBenchmark
% 11.25/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/4.28 % (3445026)------------------------------
% 11.25/4.28 % (3445026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/4.28 % (3445026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/4.28 % (3445026)CaDiCaL version: 2.1.3
% 11.25/4.28 % (3445026)Termination reason: Refutation
% 11.25/4.28 % (3445026)Time elapsed: 3.922 s
% 11.25/4.28 % (3445026)Peak memory usage: 64 MB
% 11.25/4.28 % (3445026)Instructions burned: 7747 (million)
% 11.25/4.28 % (3445020)Success in time 4.059 s
% 11.25/4.28 % Vampire exiting
%------------------------------------------------------------------------------