%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM925+8 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:17:35 PM UTC 2026
% Result : Theorem 5.43s 2.62s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 34 unt; 0 def)
% Number of atoms : 65 ( 56 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 13 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,axiom,
! [X0,X1,X2,X3] : ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).
fof(f282,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_37_one__is__num__one) ).
fof(f339,axiom,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),zero_zero(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_bin__less__0__simps_I1_J) ).
fof(f358,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_Pls__def) ).
fof(f405,axiom,
! [X0] : hAPP(int,int,number_number_of(int),X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_number__of__is__id) ).
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/sandbox/benchmark/theBenchmark.p',fact_337_nat__power__eq__0__iff) ).
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/sandbox/benchmark/theBenchmark.p',fact_1450_int__Suc) ).
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/sandbox/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(f5749,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(f5988,plain,
! [X0] :
( ( hAPP(nat,int,semiring_1_of_nat(int),X0) = zero_zero(int)
| zero_zero(nat) != X0 )
& ( X0 = zero_zero(nat)
| zero_zero(int) != hAPP(nat,int,semiring_1_of_nat(int),X0) ) ),
inference(nnf_transformation,[],[f309]) ).
fof(f5991,plain,
! [X0,X1] :
( ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) = zero_zero(nat)
| zero_zero(nat) = X1
| zero_zero(nat) != X0 )
& ( ( X1 != zero_zero(nat)
& X0 = zero_zero(nat) )
| zero_zero(nat) != hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) ) ),
inference(nnf_transformation,[],[f619]) ).
fof(f5992,plain,
! [X0,X1] :
( ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) = zero_zero(nat)
| zero_zero(nat) = X1
| zero_zero(nat) != X0 )
& ( ( X1 != zero_zero(nat)
& X0 = zero_zero(nat) )
| zero_zero(nat) != hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) ) ),
inference(flattening,[],[f5991]) ).
fof(f6007,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,[],[f5749]) ).
fof(f6043,plain,
! [X2,X3,X0,X1] : hAPP(X1,X0,X2,X3) = ti(X0,hAPP(X1,X0,X2,X3)),
inference(cnf_transformation,[],[f266]) ).
fof(f6130,plain,
one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
inference(cnf_transformation,[],[f319]) ).
fof(f6158,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f358]) ).
fof(f6159,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),zero_zero(int))),
inference(cnf_transformation,[],[f339]) ).
fof(f6194,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference(cnf_transformation,[],[f282]) ).
fof(f6311,plain,
! [X0] : ti(int,X0) = hAPP(int,int,number_number_of(int),X0),
inference(cnf_transformation,[],[f405]) ).
fof(f6336,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(f6395,plain,
! [X0] :
( zero_zero(int) != hAPP(nat,int,semiring_1_of_nat(int),X0)
| zero_zero(nat) = X0 ),
inference(cnf_transformation,[],[f5988]) ).
fof(f6396,plain,
! [X0] :
( zero_zero(int) = hAPP(nat,int,semiring_1_of_nat(int),X0)
| zero_zero(nat) != X0 ),
inference(cnf_transformation,[],[f5988]) ).
fof(f6401,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(f6424,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,[],[f5992]) ).
fof(f6467,plain,
zero_zero(int) = hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)),
inference(equality_resolution,[],[f6396]) ).
fof(f6495,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n)))),
inference(forward_demodulation,[],[f6194,f6336]) ).
fof(f6525,plain,
one_one(int) = ti(int,hAPP(int,int,bit1,pls)),
inference(forward_demodulation,[],[f6130,f6311]) ).
fof(f6544,plain,
zero_zero(int) = 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(forward_demodulation,[],[f6007,f6336]) ).
fof(f6555,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n)))),
inference(forward_demodulation,[],[f6495,f6158]) ).
fof(f6578,plain,
one_one(int) = hAPP(int,int,bit1,pls),
inference(forward_demodulation,[],[f6525,f6043]) ).
fof(f6590,plain,
zero_zero(int) = 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(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),
inference(forward_demodulation,[],[f6544,f6401]) ).
fof(f6623,plain,
zero_zero(int) = 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(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),
inference(forward_demodulation,[],[f6590,f6578]) ).
fof(f6653,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(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),
inference(forward_demodulation,[],[f6623,f6158]) ).
fof(f6838,plain,
( pls != zero_zero(int)
| zero_zero(nat) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))) ),
inference(superposition,[],[f6395,f6653]) ).
fof(f6842,plain,
zero_zero(nat) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),
inference(forward_subsumption_resolution,[],[f6838,f6158]) ).
fof(f7177,plain,
( zero_zero(nat) != zero_zero(nat)
| zero_zero(nat) = hAPP(nat,nat,suc,n) ),
inference(superposition,[],[f6424,f6842]) ).
fof(f7179,plain,
zero_zero(nat) = hAPP(nat,nat,suc,n),
inference(trivial_inequality_removal,[],[f7177]) ).
fof(f7358,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)))),
inference(superposition,[],[f6555,f7179]) ).
fof(f7359,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),zero_zero(int))),
inference(forward_demodulation,[],[f7358,f6467]) ).
fof(f7362,plain,
$false,
inference(forward_subsumption_resolution,[],[f7359,f6159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+8 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:41:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.43/2.62 % (3345217)Detected formulas, will run a generic FOF schedule.
% 5.43/2.62 % (3345228)dis-21_1_sil=8000:lcm=predicate:random_seed=3806916201:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 5.43/2.62 % (3345223)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=1469820475:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 5.43/2.62 % (3345225)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1328408123:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 5.43/2.62 % (3345227)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2933581608:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 5.43/2.62 % (3345224)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=2314632482:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 5.43/2.62 % (3345222)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=2157405533:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 5.43/2.62 % (3345228)Instruction limit reached!
% 5.43/2.62 % (3345228)------------------------------
% 5.43/2.62 % (3345228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345228)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345228)Termination reason: Instruction limit
% 5.43/2.62 % (3345228)Termination phase: Naming
% 5.43/2.62 % (3345228)Time elapsed: 0.046 s
% 5.43/2.62 % (3345228)Peak memory usage: 93 MB
% 5.43/2.62 % (3345228)Instructions burned: 133 (million)
% 5.43/2.62 % (3345226)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4028284635:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 5.43/2.62 % (3345227)Instruction limit reached!
% 5.43/2.62 % (3345227)------------------------------
% 5.43/2.62 % (3345227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345227)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345227)Termination reason: Instruction limit
% 5.43/2.62 % (3345227)Termination phase: Property scanning
% 5.43/2.62 % (3345227)Time elapsed: 0.050 s
% 5.43/2.62 % (3345227)Peak memory usage: 91 MB
% 5.43/2.62 % (3345227)Instructions burned: 141 (million)
% 5.43/2.62 % (3345225)Instruction limit reached!
% 5.43/2.62 % (3345225)------------------------------
% 5.43/2.62 % (3345225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345225)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345225)Termination reason: Instruction limit
% 5.43/2.62 % (3345225)Termination phase: Blocked clause elimination
% 5.43/2.62 % (3345225)Time elapsed: 0.060 s
% 5.43/2.62 % (3345225)Peak memory usage: 92 MB
% 5.43/2.62 % (3345225)Instructions burned: 110 (million)
% 5.43/2.62 % (3345226)Instruction limit reached!
% 5.43/2.62 % (3345226)------------------------------
% 5.43/2.62 % (3345226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345226)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345226)Termination reason: Instruction limit
% 5.43/2.62 % (3345226)Termination phase: Property scanning
% 5.43/2.62 % (3345226)Time elapsed: 0.073 s
% 5.43/2.62 % (3345226)Peak memory usage: 93 MB
% 5.43/2.62 % (3345226)Instructions burned: 121 (million)
% 5.43/2.62 % (3345235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2432673502:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 5.43/2.62 % (3345235)Instruction limit reached!
% 5.43/2.62 % (3345235)------------------------------
% 5.43/2.62 % (3345235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345235)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345235)Termination reason: Instruction limit
% 5.43/2.62 % (3345235)Termination phase: Saturation
% 5.43/2.62 % (3345235)Time elapsed: 0.074 s
% 5.43/2.62 % (3345235)Peak memory usage: 96 MB
% 5.43/2.62 % (3345235)Instructions burned: 285 (million)
% 5.43/2.62 % (3345237)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1142086608:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 5.43/2.62 % (3345238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2070106231:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 5.43/2.62 % (3345237)Instruction limit reached!
% 5.43/2.62 % (3345237)------------------------------
% 5.43/2.62 % (3345237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345237)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345237)Termination reason: Instruction limit
% 5.43/2.62 % (3345237)Termination phase: Property scanning
% 5.43/2.62 % (3345237)Time elapsed: 0.057 s
% 5.43/2.62 % (3345237)Peak memory usage: 91 MB
% 5.43/2.62 % (3345237)Instructions burned: 159 (million)
% 5.43/2.62 % (3345239)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=3623645812:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 5.43/2.62 % (3345238)First to succeed.
% 5.43/2.62 % (3345238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3345217"
% 5.43/2.62 % (3345243)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=510259664:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 5.43/2.62 % (3345239)Instruction limit reached!
% 5.43/2.62 % (3345239)------------------------------
% 5.43/2.62 % (3345239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345239)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345239)Termination reason: Instruction limit
% 5.43/2.62 % (3345239)Termination phase: Property scanning
% 5.43/2.62 % (3345239)Time elapsed: 0.089 s
% 5.43/2.62 % (3345239)Peak memory usage: 91 MB
% 5.43/2.62 % (3345239)Instructions burned: 248 (million)
% 5.43/2.62 % (3345243)Instruction limit reached!
% 5.43/2.62 % (3345243)------------------------------
% 5.43/2.62 % (3345243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/2.62 % (3345243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/2.62 % (3345243)CaDiCaL version: 2.1.3
% 5.43/2.62 % (3345243)Termination reason: Instruction limit
% 5.43/2.62 % (3345243)Termination phase: Property scanning
% 5.43/2.62 % (3345243)Time elapsed: 0.085 s
% 5.43/2.62 % (3345243)Peak memory usage: 94 MB
% 5.43/2.62 % (3345243)Instructions burned: 298 (million)
% 5.43/2.62 % (3345245)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4043869643:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 5.43/2.62 % (3345247)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1076453454:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 5.43/2.62 % (3345248)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2009007829:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 5.43/2.62 % (3345238)Refutation found. Thanks to Tanya!
% 5.43/2.62 % SZS status Theorem for theBenchmark
% 5.43/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.88/2.82 % (3345238)------------------------------
% 6.88/2.82 % (3345238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.82 % (3345238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.82 % (3345238)CaDiCaL version: 2.1.3
% 6.88/2.82 % (3345238)Termination reason: Refutation
% 6.88/2.82 % (3345238)Time elapsed: 0.109 s
% 6.88/2.82 % (3345238)Peak memory usage: 96 MB
% 6.88/2.82 % (3345238)Instructions burned: 201 (million)
% 6.88/2.82 % (3345238)------------------------------
% 6.88/2.82 % (3345238)------------------------------
% 6.88/2.82 % (3345217)Success in time 1.535 s
% 6.88/2.82 % Vampire exiting
%------------------------------------------------------------------------------