%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM926+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:17:35 PM UTC 2026
% Result : Theorem 11.35s 2.86s
% Output : Refutation 13.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 24 unt; 2 def)
% Number of atoms : 103 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 34 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
is_int(one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
fof(f18,axiom,
is_int(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_t____) ).
fof(f19,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f20,axiom,
( t = one_one_int
=> ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f21,axiom,
( ord_less_int(one_one_int,t)
=> ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f223,axiom,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_Bit0__def) ).
fof(f270,axiom,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_Bit1__def) ).
fof(f584,axiom,
! [X0,X1] :
( ( is_int(X0)
& is_int(X1) )
=> ( ord_less_eq_int(X0,X1)
=> ( X0 != X1
=> ord_less_int(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_565_order__le__neq__implies__less) ).
fof(f717,conjecture,
? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f718,negated_conjecture,
~ ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(negated_conjecture,[status(cth)],[f717]) ).
fof(f731,plain,
( ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| one_one_int != t ),
inference(ennf_transformation,[],[f20]) ).
fof(f732,plain,
( ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ~ ord_less_int(one_one_int,t) ),
inference(ennf_transformation,[],[f21]) ).
fof(f1020,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1)
| ~ is_int(X0)
| ~ is_int(X1) ),
inference(ennf_transformation,[],[f584]) ).
fof(f1021,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1)
| ~ is_int(X0)
| ~ is_int(X1) ),
inference(flattening,[],[f1020]) ).
fof(f1146,plain,
! [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(ennf_transformation,[],[f718]) ).
fof(f1147,plain,
( ( is_int(sK0)
& is_int(sK1)
& plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| one_one_int != t ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f731]) ).
fof(f1148,plain,
( ( is_int(sK2)
& is_int(sK3)
& plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f732]) ).
fof(f1365,plain,
is_int(one_one_int),
inference(cnf_transformation,[],[f2]) ).
fof(f1381,plain,
is_int(t),
inference(cnf_transformation,[],[f18]) ).
fof(f1382,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f19]) ).
fof(f1383,plain,
( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls)))))
| one_one_int != t ),
inference(cnf_transformation,[],[f1147]) ).
fof(f1386,plain,
( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_int(one_one_int,t) ),
inference(cnf_transformation,[],[f1148]) ).
fof(f1661,plain,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
inference(cnf_transformation,[],[f223]) ).
fof(f1708,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(cnf_transformation,[],[f270]) ).
fof(f2143,plain,
! [X0,X1] :
( ~ is_int(X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1)
| ~ is_int(X0)
| ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f1021]) ).
fof(f2327,plain,
! [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(cnf_transformation,[],[f1146]) ).
fof(f2331,plain,
( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(sK1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| one_one_int != t ),
inference(definition_unfolding,[],[f1383,f1661,f1661,f1708,f1661,f1708,f1661,f1708]) ).
fof(f2332,plain,
( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(sK3,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| ~ ord_less_int(one_one_int,t) ),
inference(definition_unfolding,[],[f1386,f1661,f1661,f1708,f1661,f1708,f1661,f1708]) ).
fof(f2739,plain,
! [X0,X1] : plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int) != plus_plus_int(power_power_int(X0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(definition_unfolding,[],[f2327,f1661,f1708,f1661,f1708,f1661,f1661,f1708]) ).
fof(f3038,plain,
~ ord_less_int(one_one_int,t),
inference(forward_subsumption_resolution,[],[f2332,f2739]) ).
fof(f3040,definition,
( spl12_17
<=> ord_less_int(one_one_int,t) ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f3041,plain,
( ~ ord_less_int(one_one_int,t)
| spl12_17 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3050,plain,
one_one_int != t,
inference(forward_subsumption_resolution,[],[f2331,f2739]) ).
fof(f3052,definition,
( spl12_20
<=> one_one_int = t ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
fof(f3053,plain,
( one_one_int != t
| spl12_20 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f3104,plain,
~ spl12_17,
inference(avatar_split_clause,[],[f3038,f3040]) ).
fof(f3105,plain,
~ spl12_20,
inference(avatar_split_clause,[],[f3050,f3052]) ).
fof(f3274,plain,
! [X0] :
( ~ ord_less_eq_int(X0,t)
| t = X0
| ~ is_int(X0)
| ord_less_int(X0,t) ),
inference(resolution,[],[f1381,f2143]) ).
fof(f3520,plain,
( one_one_int = t
| ~ is_int(one_one_int)
| ord_less_int(one_one_int,t) ),
inference(resolution,[],[f3274,f1382]) ).
fof(f3521,plain,
( ~ is_int(one_one_int)
| ord_less_int(one_one_int,t)
| spl12_20 ),
inference(forward_subsumption_resolution,[],[f3520,f3053]) ).
fof(f3522,plain,
( ord_less_int(one_one_int,t)
| spl12_20 ),
inference(forward_subsumption_resolution,[],[f3521,f1365]) ).
fof(f3523,plain,
( $false
| spl12_17
| spl12_20 ),
inference(forward_subsumption_resolution,[],[f3522,f3041]) ).
fof(f3524,plain,
( spl12_17
| spl12_20 ),
inference(avatar_contradiction_clause,[],[f3523]) ).
cnf(s19,plain,
~ spl12_17,
inference(sat_conversion,[],[f3104]) ).
cnf(s20,plain,
~ spl12_20,
inference(sat_conversion,[],[f3105]) ).
cnf(s23,plain,
( spl12_17
| spl12_20 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s24,plain,
spl12_17,
inference(rat,[],[s23,s20]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s19,s24]) ).
fof(f3525,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n026.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 21:46:23 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 Running first-order theorem proving
% 0.23/0.47 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
% 11.35/2.86 % (3238290)Detected formulas, will run a generic FOF schedule.
% 11.35/2.86 % (3238299)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2536971222:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.35/2.86 % (3238298)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=590324037:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.35/2.86 % (3238297)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=1470417697:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.35/2.86 % (3238295)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=1000975297:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.35/2.86 % (3238296)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=2475300062:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.35/2.86 % (3238299)Instruction limit reached!
% 11.35/2.86 % (3238299)------------------------------
% 11.35/2.86 % (3238299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238299)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238299)Termination reason: Instruction limit
% 11.35/2.86 % (3238299)Termination phase: Saturation
% 11.35/2.86 % (3238299)Time elapsed: 0.062 s
% 11.35/2.86 % (3238299)Peak memory usage: 89 MB
% 11.35/2.86 % (3238299)Instructions burned: 120 (million)
% 11.35/2.86 % (3238300)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=376100993:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.35/2.86 % (3238301)dis-21_1_sil=8000:lcm=predicate:random_seed=3134921647: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)
% 11.35/2.86 % (3238298)Instruction limit reached!
% 11.35/2.86 % (3238298)------------------------------
% 11.35/2.86 % (3238298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238298)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238298)Termination reason: Instruction limit
% 11.35/2.86 % (3238298)Termination phase: Saturation
% 11.35/2.86 % (3238298)Time elapsed: 0.096 s
% 11.35/2.86 % (3238298)Peak memory usage: 90 MB
% 11.35/2.86 % (3238298)Instructions burned: 109 (million)
% 11.35/2.86 % (3238301)Instruction limit reached!
% 11.35/2.86 % (3238301)------------------------------
% 11.35/2.86 % (3238301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238301)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238301)Termination reason: Instruction limit
% 11.35/2.86 % (3238301)Termination phase: Saturation
% 11.35/2.86 % (3238301)Time elapsed: 0.121 s
% 11.35/2.86 % (3238301)Peak memory usage: 90 MB
% 11.35/2.86 % (3238301)Instructions burned: 129 (million)
% 11.35/2.86 % (3238307)lrs+10_1_sil=8000:sp=occurrence:random_seed=3980281191:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.35/2.86 % (3238300)Instruction limit reached!
% 11.35/2.86 % (3238300)------------------------------
% 11.35/2.86 % (3238300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238300)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238300)Termination reason: Instruction limit
% 11.35/2.86 % (3238300)Termination phase: Saturation
% 11.35/2.86 % (3238300)Time elapsed: 0.135 s
% 11.35/2.86 % (3238300)Peak memory usage: 90 MB
% 11.35/2.86 % (3238300)Instructions burned: 140 (million)
% 11.35/2.86 % (3238313)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=231333531:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.35/2.86 % (3238310)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1163677560:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.35/2.86 % (3238312)lrs+1011_1_sil=32000:sp=occurrence:random_seed=826065810:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.35/2.86 % (3238307)Instruction limit reached!
% 11.35/2.86 % (3238307)------------------------------
% 11.35/2.86 % (3238307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238307)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238307)Termination reason: Instruction limit
% 11.35/2.86 % (3238307)Termination phase: Saturation
% 11.35/2.86 % (3238307)Time elapsed: 0.280 s
% 11.35/2.86 % (3238307)Peak memory usage: 92 MB
% 11.35/2.86 % (3238307)Instructions burned: 286 (million)
% 11.35/2.86 % (3238313)Instruction limit reached!
% 11.35/2.86 % (3238313)------------------------------
% 11.35/2.86 % (3238313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238313)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238313)Termination reason: Instruction limit
% 11.35/2.86 % (3238313)Termination phase: Saturation
% 11.35/2.86 % (3238313)Time elapsed: 0.131 s
% 11.35/2.86 % (3238313)Peak memory usage: 92 MB
% 11.35/2.86 % (3238313)Instructions burned: 249 (million)
% 11.35/2.86 % (3238310)Instruction limit reached!
% 11.35/2.86 % (3238310)------------------------------
% 11.35/2.86 % (3238310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238310)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238310)Termination reason: Instruction limit
% 11.35/2.86 % (3238310)Termination phase: Saturation
% 11.35/2.86 % (3238310)Time elapsed: 0.155 s
% 11.35/2.86 % (3238310)Peak memory usage: 91 MB
% 11.35/2.86 % (3238310)Instructions burned: 158 (million)
% 11.35/2.86 % (3238318)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=815317603:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.35/2.86 % (3238317)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1151847207:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.35/2.86 % (3238319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2230315868:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.35/2.86 % (3238312)Instruction limit reached!
% 11.35/2.86 % (3238312)------------------------------
% 11.35/2.86 % (3238312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238312)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238312)Termination reason: Instruction limit
% 11.35/2.86 % (3238312)Termination phase: Saturation
% 11.35/2.86 % (3238312)Time elapsed: 0.317 s
% 11.35/2.86 % (3238312)Peak memory usage: 92 MB
% 11.35/2.86 % (3238312)Instructions burned: 325 (million)
% 11.35/2.86 % (3238319)Instruction limit reached!
% 11.35/2.86 % (3238319)------------------------------
% 11.35/2.86 % (3238319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238319)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238319)Termination reason: Instruction limit
% 11.35/2.86 % (3238319)Termination phase: Saturation
% 11.35/2.86 % (3238319)Time elapsed: 0.107 s
% 11.35/2.86 % (3238319)Peak memory usage: 91 MB
% 11.35/2.86 % (3238319)Instructions burned: 114 (million)
% 11.35/2.86 % (3238317)Instruction limit reached!
% 11.35/2.86 % (3238317)------------------------------
% 11.35/2.86 % (3238317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238317)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238317)Termination reason: Instruction limit
% 11.35/2.86 % (3238317)Termination phase: Saturation
% 11.35/2.86 % (3238317)Time elapsed: 0.208 s
% 11.35/2.86 % (3238317)Peak memory usage: 91 MB
% 11.35/2.86 % (3238317)Instructions burned: 295 (million)
% 11.35/2.86 % (3238324)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1634937788:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 11.35/2.86 % (3238324)Instruction limit reached!
% 11.35/2.86 % (3238324)------------------------------
% 11.35/2.86 % (3238324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238324)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238324)Termination reason: Instruction limit
% 11.35/2.86 % (3238324)Termination phase: Saturation
% 11.35/2.86 % (3238324)Time elapsed: 0.108 s
% 11.35/2.86 % (3238324)Peak memory usage: 90 MB
% 11.35/2.86 % (3238324)Instructions burned: 127 (million)
% 11.35/2.86 % (3238325)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3808305672:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.35/2.86 % (3238327)lrs+10_1_sil=8000:sp=occurrence:random_seed=2645052113:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 11.35/2.86 % (3238325)Instruction limit reached!
% 11.35/2.86 % (3238325)------------------------------
% 11.35/2.86 % (3238325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.86 % (3238325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.86 % (3238325)CaDiCaL version: 2.1.3
% 11.35/2.86 % (3238325)Termination reason: Instruction limit
% 11.35/2.86 % (3238325)Termination phase: Saturation
% 11.35/2.86 % (3238325)Time elapsed: 0.098 s
% 11.35/2.86 % (3238325)Peak memory usage: 89 MB
% 11.35/2.86 % (3238325)Instructions burned: 114 (million)
% 11.35/2.86 % (3238330)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4005726647:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 11.35/2.86 % (3238296)First to succeed.
% 11.35/2.86 % (3238296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3238290"
% 11.35/2.86 % (3238333)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2136501501:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 11.35/2.86 % (3238296)Refutation found. Thanks to Tanya!
% 11.35/2.86 % SZS status Theorem for theBenchmark
% 11.35/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 13.89/3.17 % (3238296)------------------------------
% 13.89/3.17 % (3238296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/3.17 % (3238296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/3.17 % (3238296)CaDiCaL version: 2.1.3
% 13.89/3.17 % (3238296)Termination reason: Refutation
% 13.89/3.17 % (3238296)Time elapsed: 1.236 s
% 13.89/3.17 % (3238296)Peak memory usage: 139 MB
% 13.89/3.17 % (3238296)Instructions burned: 1279 (million)
% 13.89/3.17 % (3238296)------------------------------
% 13.89/3.17 % (3238296)------------------------------
% 13.89/3.17 % (3238290)Success in time 1.879 s
% 13.89/3.17 % Vampire exiting
%------------------------------------------------------------------------------