%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM320+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:12:10 PM UTC 2026
% Result : Theorem 7.59s 1.84s
% Output : Refutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 22 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 64 ~; 50 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 87 ( 85 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f289,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_neg(X4))
& rdn_positive_less(X3,X4)
& rdn_add_with_carry(rdnn(n0),X3,X5,X4)
& rdn_translate(X2,rdn_neg(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_1) ).
fof(f297,axiom,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f402,conjecture,
? [X0] : sum(n2,nn5,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_nn5_what) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n2,nn5,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f405,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f406,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f405]) ).
fof(f427,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X3,X4)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(ennf_transformation,[],[f289]) ).
fof(f428,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X3,X4)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(flattening,[],[f427]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(ennf_transformation,[],[f297]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(flattening,[],[f441]) ).
fof(f450,plain,
! [X0] : ~ sum(n2,nn5,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f456,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f584,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f586,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f721,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f722,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f723,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f728,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(cnf_transformation,[],[f406]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X3,X4)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f753,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f781,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f808,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f858,plain,
! [X0] : ~ sum(n2,nn5,X0),
inference(cnf_transformation,[],[f450]) ).
fof(f861,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(nn5,rdn_neg(X1))
| ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_positive_less(X0,X1)
| ~ rdn_add_with_carry(rdnn(n0),X0,X2,X1)
| ~ rdn_translate(X3,rdn_neg(X2)) ),
inference(resolution,[],[f858,f744]) ).
fof(f871,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_positive_less(X0,rdnn(n5))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdnn(n5))
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(resolution,[],[f861,f586]) ).
fof(f879,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X0,rdnn(n5))
| ~ rdn_translate(X1,rdn_neg(X0)) ),
inference(resolution,[],[f871,f456]) ).
fof(f883,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X2))
| ~ rdn_translate(X1,rdn_neg(X0))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X0,rdnn(n5))
| ~ rdn_positive_less(rdnn(X2),rdnn(n5)) ),
inference(resolution,[],[f879,f728]) ).
fof(f886,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(n5))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X1,rdnn(n5))
| ~ rdn_translate(X0,rdn_neg(X1)) ),
inference(resolution,[],[f883,f721]) ).
fof(f889,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X2))
| ~ rdn_translate(X1,rdn_neg(X0))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X0,rdnn(n5))
| ~ rdn_positive_less(rdnn(X2),rdnn(n5)) ),
inference(resolution,[],[f886,f728]) ).
fof(f895,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X1,rdnn(n5))
| ~ rdn_translate(X0,rdn_neg(X1)) ),
inference(resolution,[],[f889,f722]) ).
fof(f901,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X0,rdnn(n5))
| ~ rdn_translate(X1,rdn_neg(X0)) ),
inference(resolution,[],[f895,f723]) ).
fof(f907,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(n2),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X0,rdn_neg(rdnn(X1))) ),
inference(resolution,[],[f901,f753]) ).
fof(f1219,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X1,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f907,f808]) ).
fof(f1220,plain,
! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n3))),
inference(resolution,[],[f1219,f781]) ).
fof(f1222,plain,
$false,
inference(resolution,[],[f1220,f584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM320+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 19:30:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.10/1.64 % (1730478)Detected formulas, will run a generic FOF schedule.
% 6.10/1.64 % (1730488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4279856420:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.10/1.64 % (1730484)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=3993789719:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.10/1.64 % (1730485)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=355346144:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.10/1.64 % (1730489)dis-21_1_sil=8000:lcm=predicate:random_seed=1586569035: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)
% 6.10/1.64 % (1730487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1102580038:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.10/1.64 % (1730483)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=904056391:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.10/1.64 % (1730486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=349529679:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.10/1.64 % (1730486)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730486)------------------------------
% 6.10/1.64 % (1730486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730486)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730486)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730486)Time elapsed: 0.002 s
% 6.10/1.64 % (1730486)Peak memory usage: 87 MB
% 6.10/1.64 % (1730487)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730487)------------------------------
% 6.10/1.64 % (1730487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730486)Instructions burned: 2 (million)
% 6.10/1.64 % (1730487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730487)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730487)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730487)Time elapsed: 0.002 s
% 6.10/1.64 % (1730487)Peak memory usage: 87 MB
% 6.10/1.64 % (1730487)Instructions burned: 2 (million)
% 6.10/1.64 % (1730488)Instruction limit reached!
% 6.10/1.64 % (1730488)------------------------------
% 6.10/1.64 % (1730488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730488)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730488)Termination reason: Instruction limit
% 6.10/1.64 % (1730488)Termination phase: Saturation
% 6.10/1.64 % (1730488)Time elapsed: 0.043 s
% 6.10/1.64 % (1730488)Peak memory usage: 90 MB
% 6.10/1.64 % (1730488)Instructions burned: 140 (million)
% 6.10/1.64 % (1730489)Instruction limit reached!
% 6.10/1.64 % (1730489)------------------------------
% 6.10/1.64 % (1730489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730489)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730489)Termination reason: Instruction limit
% 6.10/1.64 % (1730489)Termination phase: Saturation
% 6.10/1.64 % (1730489)Time elapsed: 0.062 s
% 6.10/1.64 % (1730489)Peak memory usage: 88 MB
% 6.10/1.64 % (1730489)Instructions burned: 129 (million)
% 6.10/1.64 % (1730497)lrs+10_1_sil=8000:sp=occurrence:random_seed=406919560:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.10/1.64 % (1730497)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730497)------------------------------
% 6.10/1.64 % (1730497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730497)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730497)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730497)Time elapsed: 0.001 s
% 6.10/1.64 % (1730497)Peak memory usage: 88 MB
% 6.10/1.64 % (1730497)Instructions burned: 2 (million)
% 6.10/1.64 % (1730498)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1424481320:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.10/1.64 % (1730498)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730498)------------------------------
% 6.10/1.64 % (1730498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730498)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730498)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730498)Time elapsed: 0.004 s
% 6.10/1.64 % (1730498)Peak memory usage: 88 MB
% 6.10/1.64 % (1730498)Instructions burned: 5 (million)
% 6.10/1.64 % (1730487)------------------------------
% 6.10/1.64 % (1730487)------------------------------
% 6.10/1.64 % (1730486)------------------------------
% 6.10/1.64 % (1730486)------------------------------
% 6.10/1.64 % (1730497)------------------------------
% 6.10/1.64 % (1730497)------------------------------
% 6.10/1.64 % (1730502)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=1256211805:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.10/1.64 % (1730501)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1240781726:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.10/1.64 % (1730501)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730501)------------------------------
% 6.10/1.64 % (1730501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730501)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730501)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730501)Time elapsed: 0.003 s
% 6.10/1.64 % (1730501)Peak memory usage: 88 MB
% 6.10/1.64 % (1730501)Instructions burned: 2 (million)
% 6.10/1.64 % (1730503)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3836948157:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.10/1.64 % (1730503)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730503)------------------------------
% 6.10/1.64 % (1730503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730503)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730503)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730503)Time elapsed: 0.003 s
% 6.10/1.64 % (1730503)Peak memory usage: 88 MB
% 6.10/1.64 % (1730503)Instructions burned: 9 (million)
% 6.10/1.64 % (1730498)------------------------------
% 6.10/1.64 % (1730498)------------------------------
% 6.10/1.64 % (1730502)Instruction limit reached!
% 6.10/1.64 % (1730502)------------------------------
% 6.10/1.64 % (1730502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730502)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730502)Termination reason: Instruction limit
% 6.10/1.64 % (1730502)Termination phase: Saturation
% 6.10/1.64 % (1730502)Time elapsed: 0.121 s
% 6.10/1.64 % (1730502)Peak memory usage: 91 MB
% 6.10/1.64 % (1730502)Instructions burned: 249 (million)
% 6.10/1.64 % (1730503)------------------------------
% 6.10/1.64 % (1730503)------------------------------
% 6.10/1.64 % (1730485)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730485)------------------------------
% 6.10/1.64 % (1730485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730485)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730485)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730485)Time elapsed: 0.621 s
% 6.10/1.64 % (1730485)Peak memory usage: 127 MB
% 6.10/1.64 % (1730485)Instructions burned: 909 (million)
% 6.10/1.64 % (1730484)Refutation not found, incomplete strategy
% 6.10/1.64 % (1730484)------------------------------
% 6.10/1.64 % (1730484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.64 % (1730484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.64 % (1730484)CaDiCaL version: 2.1.3
% 6.10/1.64 % (1730484)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.64 % (1730484)Time elapsed: 0.622 s
% 6.10/1.64 % (1730484)Peak memory usage: 127 MB
% 6.10/1.64 % (1730484)Instructions burned: 911 (million)
% 7.59/1.84 % (1730507)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1754766917:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.59/1.84 % (1730501)------------------------------
% 7.59/1.84 % (1730501)------------------------------
% 7.59/1.84 % (1730508)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3996972765:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.59/1.84 % (1730508)Refutation not found, incomplete strategy
% 7.59/1.84 % (1730508)------------------------------
% 7.59/1.84 % (1730508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.84 % (1730508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.84 % (1730508)CaDiCaL version: 2.1.3
% 7.59/1.84 % (1730508)Termination reason: Refutation not found, incomplete strategy
% 7.59/1.84 % (1730508)Time elapsed: 0.003 s
% 7.59/1.84 % (1730508)Peak memory usage: 88 MB
% 7.59/1.84 % (1730508)Instructions burned: 2 (million)
% 7.59/1.84 % (1730509)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1946935422:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.59/1.84 % (1730509)First to succeed.
% 7.59/1.84 % (1730509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1730478"
% 7.59/1.84 % (1730511)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4060257911:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.59/1.84 % (1730509)Refutation found. Thanks to Tanya!
% 7.59/1.84 % SZS status Theorem for theBenchmark
% 7.59/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.59/1.84 % (1730509)------------------------------
% 7.59/1.84 % (1730509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.84 % (1730509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.84 % (1730509)CaDiCaL version: 2.1.3
% 7.59/1.84 % (1730509)Termination reason: Refutation
% 7.59/1.84 % (1730509)Time elapsed: 0.007 s
% 7.59/1.84 % (1730509)Peak memory usage: 88 MB
% 7.59/1.84 % (1730509)Instructions burned: 26 (million)
% 7.59/1.84 % (1730509)------------------------------
% 7.59/1.84 % (1730509)------------------------------
% 7.59/1.84 % (1730478)Success in time 1.024 s
% 7.59/1.84 % Vampire exiting
%------------------------------------------------------------------------------