%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM925+8 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:26:11 PM UTC 2026
% Result : Theorem 34.25s 7.42s
% Output : Refutation 34.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 41 unt; 0 def)
% Number of atoms : 62 ( 56 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 7 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,axiom,
! [X0,X1] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),X1) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_zpower__int) ).
fof(f309,axiom,
! [X0] :
( hAPP(nat,int,semiring_1_of_nat(int),X0) = zero_zero(int)
<=> X0 = zero_zero(nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_int__eq__0__conv) ).
fof(f319,axiom,
one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_one__is__num__one) ).
fof(f358,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_Pls__def) ).
fof(f619,axiom,
! [X0,X1] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) = zero_zero(nat)
<=> ( X1 != zero_zero(nat)
& X0 = zero_zero(nat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_nat__power__eq__0__iff) ).
fof(f1594,axiom,
! [X0] : zero_zero(nat) != hAPP(nat,nat,suc,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1312_Zero__not__Suc) ).
fof(f1664,axiom,
one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1382_One__nat__def) ).
fof(f1732,axiom,
! [X0] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X0)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1450_int__Suc) ).
fof(f1765,axiom,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1483_numeral__2__eq__2) ).
fof(f2298,axiom,
! [X0] :
( number_ring(X0)
=> hAPP(X0,X0,uminus_uminus(X0),one_one(X0)) = hAPP(int,X0,number_number_of(X0),min) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2016_arith__simps_I31_J) ).
fof(f2345,axiom,
! [X0] : hAPP(int,int,uminus_uminus(int),hAPP(int,int,number_number_of(int),X0)) = hAPP(int,int,number_number_of(int),hAPP(int,int,uminus_uminus(int),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2063_minus__numeral__code_I5_J) ).
fof(f2360,axiom,
min = hAPP(int,int,uminus_uminus(int),one_one(int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2078_Int_OMin__def) ).
fof(f2365,axiom,
hAPP(int,int,uminus_uminus(int),min) = hAPP(int,int,bit1,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2083_minus__Min) ).
fof(f5334,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
fof(f5747,conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5748,negated_conjecture,
~ ( hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int) ),
inference(negated_conjecture,[status(cth)],[f5747]) ).
fof(f5807,plain,
zero_zero(int) = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(flattening,[],[f5748]) ).
fof(f7854,plain,
! [X0] :
( hAPP(X0,X0,uminus_uminus(X0),one_one(X0)) = hAPP(int,X0,number_number_of(X0),min)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f2298]) ).
fof(f10868,plain,
! [X0,X1] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),X1) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1)),
inference(cnf_transformation,[],[f302]) ).
fof(f10876,plain,
! [X0] :
( zero_zero(nat) = X0
| zero_zero(int) != hAPP(nat,int,semiring_1_of_nat(int),X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f10892,plain,
one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
inference(cnf_transformation,[],[f319]) ).
fof(f10953,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f358]) ).
fof(f11312,plain,
! [X0,X1] :
( zero_zero(nat) != hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1)
| zero_zero(nat) = X0 ),
inference(cnf_transformation,[],[f619]) ).
fof(f12692,plain,
! [X0] : zero_zero(nat) != hAPP(nat,nat,suc,X0),
inference(cnf_transformation,[],[f1594]) ).
fof(f12796,plain,
one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)),
inference(cnf_transformation,[],[f1664]) ).
fof(f12884,plain,
! [X0] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X0)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X0)),
inference(cnf_transformation,[],[f1732]) ).
fof(f12950,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
inference(cnf_transformation,[],[f1765]) ).
fof(f13854,plain,
! [X0] :
( ~ number_ring(X0)
| hAPP(int,X0,number_number_of(X0),min) = hAPP(X0,X0,uminus_uminus(X0),one_one(X0)) ),
inference(cnf_transformation,[],[f7854]) ).
fof(f13917,plain,
! [X0] : hAPP(int,int,uminus_uminus(int),hAPP(int,int,number_number_of(int),X0)) = hAPP(int,int,number_number_of(int),hAPP(int,int,uminus_uminus(int),X0)),
inference(cnf_transformation,[],[f2345]) ).
fof(f13938,plain,
min = hAPP(int,int,uminus_uminus(int),one_one(int)),
inference(cnf_transformation,[],[f2360]) ).
fof(f13943,plain,
hAPP(int,int,bit1,pls) = hAPP(int,int,uminus_uminus(int),min),
inference(cnf_transformation,[],[f2365]) ).
fof(f18329,plain,
number_ring(int),
inference(cnf_transformation,[],[f5334]) ).
fof(f18742,plain,
zero_zero(int) = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f5807]) ).
fof(f20322,plain,
pls = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(forward_demodulation,[],[f18742,f10953]) ).
fof(f20492,plain,
! [X0] :
( pls != hAPP(nat,int,semiring_1_of_nat(int),X0)
| zero_zero(nat) = X0 ),
inference(forward_demodulation,[],[f10876,f10953]) ).
fof(f20775,plain,
hAPP(int,int,number_number_of(int),min) = hAPP(int,int,uminus_uminus(int),one_one(int)),
inference(resolution,[],[f13854,f18329]) ).
fof(f20780,plain,
min = hAPP(int,int,number_number_of(int),min),
inference(forward_demodulation,[],[f20775,f13938]) ).
fof(f25250,plain,
hAPP(int,int,uminus_uminus(int),min) = hAPP(int,int,number_number_of(int),hAPP(int,int,uminus_uminus(int),min)),
inference(superposition,[],[f13917,f20780]) ).
fof(f25270,plain,
hAPP(int,int,bit1,pls) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
inference(forward_demodulation,[],[f25250,f13943]) ).
fof(f25272,plain,
one_one(int) = hAPP(int,int,bit1,pls),
inference(forward_demodulation,[],[f25270,f10892]) ).
fof(f27282,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,one_one(nat)),
inference(forward_demodulation,[],[f12950,f12796]) ).
fof(f27283,plain,
hAPP(nat,nat,suc,one_one(nat)) = hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))),
inference(forward_demodulation,[],[f27282,f25272]) ).
fof(f38975,plain,
pls = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(superposition,[],[f20322,f12884]) ).
fof(f38978,plain,
pls = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),
inference(forward_demodulation,[],[f38975,f25272]) ).
fof(f38983,plain,
pls = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n))),hAPP(nat,nat,suc,one_one(nat))),
inference(forward_demodulation,[],[f38978,f27283]) ).
fof(f71833,plain,
pls = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(nat,nat,suc,one_one(nat)))),
inference(superposition,[],[f10868,f38983]) ).
fof(f71902,plain,
( pls != pls
| zero_zero(nat) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(nat,nat,suc,one_one(nat))) ),
inference(superposition,[],[f20492,f71833]) ).
fof(f71924,plain,
zero_zero(nat) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(nat,nat,suc,one_one(nat))),
inference(trivial_inequality_removal,[],[f71902]) ).
fof(f78127,plain,
( zero_zero(nat) != zero_zero(nat)
| zero_zero(nat) = hAPP(nat,nat,suc,n) ),
inference(superposition,[],[f11312,f71924]) ).
fof(f78131,plain,
zero_zero(nat) = hAPP(nat,nat,suc,n),
inference(trivial_inequality_removal,[],[f78127]) ).
fof(f78132,plain,
$false,
inference(forward_subsumption_resolution,[],[f78131,f12692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+8 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n026.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 21:44:56 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.47 Running first-order model finding
% 0.13/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.25/7.42 % (3236407)Will run a generic schedule for satisfiability detection.
% 34.25/7.42 % (3236413)% WARNING: option uhcvi not known.
% 34.25/7.42 % (3236413)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2336451517:i=135531:add=off:rawr=on_2994 on theBenchmark for (2994ds/135531Mi)
% 34.25/7.42 % (3236415)dis+10_1_sil=32000:sp=arity:random_seed=93887471:i=103:fgj=on_2994 on theBenchmark for (2994ds/103Mi)
% 34.25/7.42 % (3236412)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=594736346_2994 on theBenchmark for (2994ds/0Mi)
% 34.25/7.42 % (3236414)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=28450847:i=88024:add=on:rawr=on_2994 on theBenchmark for (2994ds/88024Mi)
% 34.25/7.42 % (3236417)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2352485759:i=131_2994 on theBenchmark for (2994ds/131Mi)
% 34.25/7.42 % (3236416)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2743315005:i=116_2994 on theBenchmark for (2994ds/116Mi)
% 34.25/7.42 % (3236418)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=912424571:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2994 on theBenchmark for (2994ds/159Mi)
% 34.25/7.42 % (3236415)Instruction limit reached!
% 34.25/7.42 % (3236415)------------------------------
% 34.25/7.42 % (3236415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236415)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236415)Termination reason: Instruction limit
% 34.25/7.42 % (3236415)Termination phase: Preprocessing 3
% 34.25/7.42 % (3236415)Time elapsed: 0.095 s
% 34.25/7.42 % (3236415)Peak memory usage: 21 MB
% 34.25/7.42 % (3236415)Instructions burned: 103 (million)
% 34.25/7.42 % (3236416)Instruction limit reached!
% 34.25/7.42 % (3236416)------------------------------
% 34.25/7.42 % (3236416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236416)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236416)Termination reason: Instruction limit
% 34.25/7.42 % (3236416)Termination phase: NewCNF
% 34.25/7.42 % (3236416)Time elapsed: 0.113 s
% 34.25/7.42 % (3236416)Peak memory usage: 22 MB
% 34.25/7.42 % (3236416)Instructions burned: 116 (million)
% 34.25/7.42 % (3236417)Instruction limit reached!
% 34.25/7.42 % (3236417)------------------------------
% 34.25/7.42 % (3236417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236417)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236417)Termination reason: Instruction limit
% 34.25/7.42 % (3236417)Termination phase: Preprocessing 3
% 34.25/7.42 % (3236417)Time elapsed: 0.120 s
% 34.25/7.42 % (3236417)Peak memory usage: 21 MB
% 34.25/7.42 % (3236417)Instructions burned: 134 (million)
% 34.25/7.42 % (3236426)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2999134164:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 34.25/7.42 % (3236418)Instruction limit reached!
% 34.25/7.42 % (3236418)------------------------------
% 34.25/7.42 % (3236418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236418)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236418)Termination reason: Instruction limit
% 34.25/7.42 % (3236418)Termination phase: Preprocessing 3
% 34.25/7.42 % (3236418)Time elapsed: 0.140 s
% 34.25/7.42 % (3236418)Peak memory usage: 22 MB
% 34.25/7.42 % (3236418)Instructions burned: 159 (million)
% 34.25/7.42 % (3236427)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3912649699:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 34.25/7.42 % (3236428)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=5252862:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 34.25/7.42 % (3236430)ott-21_1_sil=16000:fs=off:random_seed=2448254597:i=180:av=off:fsr=off_2992 on theBenchmark for (2992ds/180Mi)
% 34.25/7.42 % (3236427)Instruction limit reached!
% 34.25/7.42 % (3236427)------------------------------
% 34.25/7.42 % (3236427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236427)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236427)Termination reason: Instruction limit
% 34.25/7.42 % (3236427)Termination phase: Preprocessing 3
% 34.25/7.42 % (3236427)Time elapsed: 0.119 s
% 34.25/7.42 % (3236427)Peak memory usage: 21 MB
% 34.25/7.42 % (3236427)Instructions burned: 132 (million)
% 34.25/7.42 % (3236434)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=50878151:i=477:bd=all_2991 on theBenchmark for (2991ds/477Mi)
% 34.25/7.42 % (3236430)Instruction limit reached!
% 34.25/7.42 % (3236430)------------------------------
% 34.25/7.42 % (3236430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236430)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236430)Termination reason: Instruction limit
% 34.25/7.42 % (3236430)Termination phase: Preprocessing 3
% 34.25/7.42 % (3236430)Time elapsed: 0.160 s
% 34.25/7.42 % (3236430)Peak memory usage: 22 MB
% 34.25/7.42 % (3236430)Instructions burned: 180 (million)
% 34.25/7.42 % (3236436)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2058785418:fmbsr=1.3:i=865:ins=25_2990 on theBenchmark for (2990ds/865Mi)
% 34.25/7.42 % (3236428)Instruction limit reached!
% 34.25/7.42 % (3236428)------------------------------
% 34.25/7.42 % (3236428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236428)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236428)Termination reason: Instruction limit
% 34.25/7.42 % (3236428)Termination phase: Property scanning
% 34.25/7.42 % (3236428)Time elapsed: 0.442 s
% 34.25/7.42 % (3236428)Peak memory usage: 25 MB
% 34.25/7.42 % (3236428)Instructions burned: 684 (million)
% 34.25/7.42 % (3236438)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1765433328:i=1179_2988 on theBenchmark for (2988ds/1179Mi)
% 34.25/7.42 % (3236426)Instruction limit reached!
% 34.25/7.42 % (3236426)------------------------------
% 34.25/7.42 % (3236426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236426)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236426)Termination reason: Instruction limit
% 34.25/7.42 % (3236426)Termination phase: Function definition elimination
% 34.25/7.42 % (3236426)Time elapsed: 0.587 s
% 34.25/7.42 % (3236426)Peak memory usage: 26 MB
% 34.25/7.42 % (3236426)Instructions burned: 715 (million)
% 34.25/7.42 % (3236434)Instruction limit reached!
% 34.25/7.42 % (3236434)------------------------------
% 34.25/7.42 % (3236434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236434)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236434)Termination reason: Instruction limit
% 34.25/7.42 % (3236434)Termination phase: Property scanning
% 34.25/7.42 % (3236434)Time elapsed: 0.417 s
% 34.25/7.42 % (3236434)Peak memory usage: 24 MB
% 34.25/7.42 % (3236434)Instructions burned: 477 (million)
% 34.25/7.42 % (3236440)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1341395420:i=889:ins=1_2987 on theBenchmark for (2987ds/889Mi)
% 34.25/7.42 % (3236441)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=630416135:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2986 on theBenchmark for (2986ds/692Mi)
% 34.25/7.42 % (3236436)Instruction limit reached!
% 34.25/7.42 % (3236436)------------------------------
% 34.25/7.42 % (3236436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236436)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236436)Termination reason: Instruction limit
% 34.25/7.42 % (3236436)Termination phase: Property scanning
% 34.25/7.42 % (3236436)Time elapsed: 0.705 s
% 34.25/7.42 % (3236436)Peak memory usage: 25 MB
% 34.25/7.42 % (3236436)Instructions burned: 866 (million)
% 34.25/7.42 % (3236444)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3660489336:i=879:kws=inv_precedence:fsr=off_2983 on theBenchmark for (2983ds/879Mi)
% 34.25/7.42 % (3236441)Instruction limit reached!
% 34.25/7.42 % (3236441)------------------------------
% 34.25/7.42 % (3236441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236441)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236441)Termination reason: Instruction limit
% 34.25/7.42 % (3236441)Termination phase: Property scanning
% 34.25/7.42 % (3236441)Time elapsed: 0.578 s
% 34.25/7.42 % (3236441)Peak memory usage: 25 MB
% 34.25/7.42 % (3236441)Instructions burned: 693 (million)
% 34.25/7.42 % (3236440)Instruction limit reached!
% 34.25/7.42 % (3236440)------------------------------
% 34.25/7.42 % (3236440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236440)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236440)Termination reason: Instruction limit
% 34.25/7.42 % (3236440)Termination phase: Property scanning
% 34.25/7.42 % (3236440)Time elapsed: 0.630 s
% 34.25/7.42 % (3236440)Peak memory usage: 25 MB
% 34.25/7.42 % (3236440)Instructions burned: 890 (million)
% 34.25/7.42 % (3236446)fmb+10_1_sil=64000:random_seed=2270414335:i=22061:nm=2:gsp=on_2980 on theBenchmark for (2980ds/22061Mi)
% 34.25/7.42 % (3236447)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=29492703:i=9515:nm=5_2980 on theBenchmark for (2980ds/9515Mi)
% 34.25/7.42 % (3236438)Instruction limit reached!
% 34.25/7.42 % (3236438)------------------------------
% 34.25/7.42 % (3236438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236438)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236438)Termination reason: Instruction limit
% 34.25/7.42 % (3236438)Termination phase: Property scanning
% 34.25/7.42 % (3236438)Time elapsed: 0.954 s
% 34.25/7.42 % (3236438)Peak memory usage: 25 MB
% 34.25/7.42 % (3236438)Instructions burned: 1179 (million)
% 34.25/7.42 % (3236450)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4170089506:fmbsr=1.7:i=920_2978 on theBenchmark for (2978ds/920Mi)
% 34.25/7.42 % (3236444)Instruction limit reached!
% 34.25/7.42 % (3236444)------------------------------
% 34.25/7.42 % (3236444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236444)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236444)Termination reason: Instruction limit
% 34.25/7.42 % (3236444)Termination phase: Property scanning
% 34.25/7.42 % (3236444)Time elapsed: 0.649 s
% 34.25/7.42 % (3236444)Peak memory usage: 25 MB
% 34.25/7.42 % (3236444)Instructions burned: 879 (million)
% 34.25/7.42 % (3236452)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2218142115:i=5131_2976 on theBenchmark for (2976ds/5131Mi)
% 34.25/7.42 % (3236450)Instruction limit reached!
% 34.25/7.42 % (3236450)------------------------------
% 34.25/7.42 % (3236450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236450)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236450)Termination reason: Instruction limit
% 34.25/7.42 % (3236450)Termination phase: Property scanning
% 34.25/7.42 % (3236450)Time elapsed: 0.501 s
% 34.25/7.42 % (3236450)Peak memory usage: 25 MB
% 34.25/7.42 % (3236450)Instructions burned: 921 (million)
% 34.25/7.42 % (3236454)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2550276997:i=1472:ins=7:fdi=8:gsp=on_2973 on theBenchmark for (2973ds/1472Mi)
% 34.25/7.42 % (3236454)Instruction limit reached!
% 34.25/7.42 % (3236454)------------------------------
% 34.25/7.42 % (3236454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.42 % (3236454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.42 % (3236454)CaDiCaL version: 2.1.3
% 34.25/7.42 % (3236454)Termination reason: Instruction limit
% 34.25/7.42 % (3236454)Termination phase: Saturation
% 34.25/7.42 % (3236454)Time elapsed: 0.873 s
% 34.25/7.42 % (3236454)Peak memory usage: 29 MB
% 34.25/7.42 % (3236454)Instructions burned: 1472 (million)
% 34.25/7.42 % (3236456)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=16369490:i=6324_2964 on theBenchmark for (2964ds/6324Mi)
% 34.25/7.42 % (3236452) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3236407-3236452"...
% 34.25/7.42 % (3236452)...printing done.
% 34.25/7.42 % (3236452)Refutation found. Thanks to Tanya!
% 34.25/7.42 % SZS status Theorem for theBenchmark
% 34.25/7.42 % SZS output start Proof for theBenchmark
% See solution above
% 34.25/7.43 % (3236452)------------------------------
% 34.25/7.43 % (3236452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.25/7.43 % (3236452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.25/7.43 % (3236452)CaDiCaL version: 2.1.3
% 34.25/7.43 % (3236452)Termination reason: Refutation
% 34.25/7.43 % (3236452)Time elapsed: 4.491 s
% 34.25/7.43 % (3236452)Peak memory usage: 48 MB
% 34.25/7.43 % (3236452)Instructions burned: 4961 (million)
% 34.25/7.43 % (3236407)Success in time 6.935 s
% 34.25/7.43 % Vampire exiting
%------------------------------------------------------------------------------