%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM307+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 : n008.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 12:12:08 PM UTC 2026
% Result : Theorem 5.16s 1.66s
% Output : Refutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 28 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 223 ( 114 ~; 95 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 157 ( 155 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn23) ).
fof(f35,axiom,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn34) ).
fof(f58,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
fof(f258,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f259,axiom,
rdn_non_zero_digit(rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit3) ).
fof(f261,axiom,
rdn_non_zero_digit(rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit5) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f287,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
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(f300,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
& rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
& rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
& rdn_add_with_carry(rdnn(X10),X2,X4,X6)
& rdn_non_zero(X2)
& rdn_non_zero(X4)
& rdn_non_zero(X6) )
=> rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_rdn_rdn) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).
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(f336,axiom,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n4_n7_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(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(f402,conjecture,
? [X0] : sum(n23,n34,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',summ_n23_n34_something) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n23,n34,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f411,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f287]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f423]) ).
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(f447,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(ennf_transformation,[],[f300]) ).
fof(f448,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(flattening,[],[f447]) ).
fof(f450,plain,
! [X0] : ~ sum(n23,n34,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f477,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf_transformation,[],[f24]) ).
fof(f488,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
inference(cnf_transformation,[],[f35]) ).
fof(f511,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f58]) ).
fof(f711,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f258]) ).
fof(f712,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(cnf_transformation,[],[f259]) ).
fof(f714,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(cnf_transformation,[],[f261]) ).
fof(f732,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f411]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f424]) ).
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(f756,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_non_zero(X2)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X6) ),
inference(cnf_transformation,[],[f448]) ).
fof(f758,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f781,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f792,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f336]) ).
fof(f808,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f828,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f858,plain,
! [X0] : ~ sum(n23,n34,X0),
inference(cnf_transformation,[],[f450]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(n34,rdn_pos(X1))
| ~ rdn_translate(n23,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_pos(X2)) ),
inference(resolution,[],[f858,f742]) ).
fof(f867,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n23,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,rdn(rdnn(n4),rdnn(n3)),X1)
| ~ rdn_translate(X2,rdn_pos(X1)) ),
inference(resolution,[],[f863,f488]) ).
fof(f871,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),X0)
| ~ rdn_translate(X1,rdn_pos(X0)) ),
inference(resolution,[],[f867,f477]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n3))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X1),rdnn(X5))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X6),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X6),rdnn(n2),rdnn(n3),X2)
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_non_zero(X2) ),
inference(resolution,[],[f871,f756]) ).
fof(f880,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero(rdnn(n2))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X4),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X4),rdnn(n2),rdnn(n3),X5)
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X2),X5)))
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero_digit(rdnn(n3)) ),
inference(resolution,[],[f875,f732]) ).
fof(f885,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero_digit(rdnn(n3))
| ~ rdn_digit_add(rdnn(X3),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X4),rdnn(n2),rdnn(n3),X5)
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X3))
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X1),X5)))
| ~ rdn_non_zero(X5)
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(X2))
| ~ rdn_non_zero_digit(rdnn(n2)) ),
inference(resolution,[],[f880,f732]) ).
fof(f890,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_non_zero_digit(rdnn(n2))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),X3)
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X4),rdnn(X0))
| ~ rdn_translate(X5,rdn_pos(rdn(rdnn(X6),X3)))
| ~ rdn_non_zero(X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(n0),rdnn(X6),rdnn(X1))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0)) ),
inference(resolution,[],[f885,f712]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X2),rdnn(X3))
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),X1)
| ~ rdn_translate(X4,rdn_pos(rdn(rdnn(X5),X1)))
| ~ rdn_non_zero(X1)
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X5),rdnn(X6))
| ~ rdn_digit_add(rdnn(X3),rdnn(X6),rdnn(X0),rdnn(n0)) ),
inference(resolution,[],[f890,f711]) ).
fof(f901,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(X3),rdnn(X4))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(X3),X1)))
| ~ rdn_non_zero(X1)
| ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),X1)
| ~ rdn_digit_add(rdnn(n0),rdnn(X4),rdnn(X0),rdnn(n0)) ),
inference(resolution,[],[f896,f792]) ).
fof(f903,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(X2),rdnn(n0))
| ~ rdn_non_zero(X1)
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),X1)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),X1))) ),
inference(resolution,[],[f901,f828]) ).
fof(f905,plain,
! [X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),X0)
| ~ rdn_non_zero(X0)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),X0))) ),
inference(resolution,[],[f903,f758]) ).
fof(f907,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n7),rdnn(X0))))
| ~ rdn_non_zero(rdnn(X0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X0),rdnn(n0)) ),
inference(resolution,[],[f905,f753]) ).
fof(f910,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_non_zero(rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdnn(X1)))) ),
inference(resolution,[],[f907,f781]) ).
fof(f914,plain,
! [X0] :
( ~ rdn_non_zero(rdnn(n5))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdnn(n5)))) ),
inference(resolution,[],[f910,f808]) ).
fof(f917,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(n5))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdnn(n5)))) ),
inference(resolution,[],[f914,f732]) ).
fof(f921,plain,
! [X0] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(resolution,[],[f917,f714]) ).
fof(f924,plain,
$false,
inference(resolution,[],[f921,f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM307+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 19:31:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 5.13/1.46 % (1545707)Detected formulas, will run a generic FOF schedule.
% 5.13/1.46 % (1545717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=232542249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.13/1.46 % (1545716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3653414509:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.13/1.46 % (1545712)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=1467604922:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.13/1.46 % (1545713)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=4134604563:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.13/1.46 % (1545715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3880676593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.13/1.46 % (1545718)dis-21_1_sil=8000:lcm=predicate:random_seed=4270072987: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)
% 5.13/1.46 % (1545714)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=2579858330:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.13/1.46 % (1545715)Refutation not found, incomplete strategy
% 5.13/1.46 % (1545715)------------------------------
% 5.13/1.46 % (1545715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.46 % (1545715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.46 % (1545715)CaDiCaL version: 2.1.3
% 5.13/1.46 % (1545715)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.46 % (1545715)Time elapsed: 0.002 s
% 5.13/1.46 % (1545715)Peak memory usage: 88 MB
% 5.13/1.46 % (1545715)Instructions burned: 1 (million)
% 5.13/1.46 % (1545716)Refutation not found, incomplete strategy
% 5.13/1.46 % (1545716)------------------------------
% 5.13/1.46 % (1545716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.46 % (1545716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.46 % (1545716)CaDiCaL version: 2.1.3
% 5.13/1.46 % (1545716)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.46 % (1545716)Time elapsed: 0.002 s
% 5.13/1.46 % (1545716)Peak memory usage: 88 MB
% 5.13/1.46 % (1545716)Instructions burned: 2 (million)
% 5.13/1.46 % (1545717)Instruction limit reached!
% 5.13/1.46 % (1545717)------------------------------
% 5.13/1.46 % (1545717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.46 % (1545717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.46 % (1545717)CaDiCaL version: 2.1.3
% 5.13/1.46 % (1545717)Termination reason: Instruction limit
% 5.13/1.46 % (1545717)Termination phase: Saturation
% 5.13/1.46 % (1545717)Time elapsed: 0.044 s
% 5.13/1.46 % (1545717)Peak memory usage: 90 MB
% 5.13/1.46 % (1545717)Instructions burned: 142 (million)
% 5.13/1.46 % (1545718)Instruction limit reached!
% 5.13/1.46 % (1545718)------------------------------
% 5.13/1.46 % (1545718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.46 % (1545718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.46 % (1545718)CaDiCaL version: 2.1.3
% 5.13/1.46 % (1545718)Termination reason: Instruction limit
% 5.13/1.46 % (1545718)Termination phase: Saturation
% 5.13/1.46 % (1545718)Time elapsed: 0.074 s
% 5.13/1.46 % (1545718)Peak memory usage: 89 MB
% 5.13/1.46 % (1545718)Instructions burned: 129 (million)
% 5.13/1.46 % (1545726)lrs+10_1_sil=8000:sp=occurrence:random_seed=3927425290:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.13/1.46 % (1545726)Refutation not found, incomplete strategy
% 5.13/1.46 % (1545726)------------------------------
% 5.13/1.46 % (1545726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.46 % (1545726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.46 % (1545726)CaDiCaL version: 2.1.3
% 5.13/1.46 % (1545726)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.46 % (1545726)Time elapsed: 0.001 s
% 5.13/1.46 % (1545726)Peak memory usage: 88 MB
% 5.13/1.46 % (1545726)Instructions burned: 2 (million)
% 5.13/1.46 % (1545727)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2185241755:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.16/1.66 % (1545727)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545727)------------------------------
% 5.16/1.66 % (1545727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545727)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545727)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545727)Time elapsed: 0.004 s
% 5.16/1.66 % (1545727)Peak memory usage: 88 MB
% 5.16/1.66 % (1545727)Instructions burned: 5 (million)
% 5.16/1.66 % (1545715)------------------------------
% 5.16/1.66 % (1545715)------------------------------
% 5.16/1.66 % (1545716)------------------------------
% 5.16/1.66 % (1545716)------------------------------
% 5.16/1.66 % (1545726)------------------------------
% 5.16/1.66 % (1545726)------------------------------
% 5.16/1.66 [W927 19:31:10.377049185 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377087639 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377128365 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377141889 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377170162 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377182275 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377208299 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377228169 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377257866 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377268292 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377292256 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 [W927 19:31:10.377302576 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.16/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.16/1.66 % (1545731)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=976985222:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.16/1.66 % (1545730)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1361867279:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.16/1.66 % (1545730)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545730)------------------------------
% 5.16/1.66 % (1545730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545730)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545730)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545730)Time elapsed: 0.003 s
% 5.16/1.66 % (1545730)Peak memory usage: 88 MB
% 5.16/1.66 % (1545730)Instructions burned: 2 (million)
% 5.16/1.66 % (1545732)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2577251674:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.16/1.66 % (1545732)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545732)------------------------------
% 5.16/1.66 % (1545732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545732)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545732)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545732)Time elapsed: 0.003 s
% 5.16/1.66 % (1545732)Peak memory usage: 89 MB
% 5.16/1.66 % (1545732)Instructions burned: 9 (million)
% 5.16/1.66 % (1545727)------------------------------
% 5.16/1.66 % (1545727)------------------------------
% 5.16/1.66 % (1545731)Instruction limit reached!
% 5.16/1.66 % (1545731)------------------------------
% 5.16/1.66 % (1545731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545731)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545731)Termination reason: Instruction limit
% 5.16/1.66 % (1545731)Termination phase: Saturation
% 5.16/1.66 % (1545731)Time elapsed: 0.121 s
% 5.16/1.66 % (1545731)Peak memory usage: 92 MB
% 5.16/1.66 % (1545731)Instructions burned: 248 (million)
% 5.16/1.66 % (1545713)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545713)------------------------------
% 5.16/1.66 % (1545713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545713)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545713)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545713)Time elapsed: 0.569 s
% 5.16/1.66 % (1545713)Peak memory usage: 126 MB
% 5.16/1.66 % (1545713)Instructions burned: 835 (million)
% 5.16/1.66 % (1545732)------------------------------
% 5.16/1.66 % (1545732)------------------------------
% 5.16/1.66 % (1545714)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545714)------------------------------
% 5.16/1.66 % (1545714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545714)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545714)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545714)Time elapsed: 0.628 s
% 5.16/1.66 % (1545714)Peak memory usage: 128 MB
% 5.16/1.66 % (1545714)Instructions burned: 911 (million)
% 5.16/1.66 % (1545736)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2411307161:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.16/1.66 % (1545730)------------------------------
% 5.16/1.66 % (1545730)------------------------------
% 5.16/1.66 % (1545737)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3575861459:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.16/1.66 % (1545737)Refutation not found, incomplete strategy
% 5.16/1.66 % (1545737)------------------------------
% 5.16/1.66 % (1545737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.66 % (1545737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.66 % (1545737)CaDiCaL version: 2.1.3
% 5.16/1.66 % (1545737)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.66 % (1545737)Time elapsed: 0.003 s
% 5.16/1.66 % (1545737)Peak memory usage: 89 MB
% 5.16/1.66 % (1545737)Instructions burned: 2 (million)
% 5.16/1.66 % (1545738)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2482419693:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.16/1.66 % (1545738)First to succeed.
% 5.16/1.66 % (1545738)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1545707"
% 5.16/1.66 % (1545713)------------------------------
% 5.16/1.66 % (1545713)------------------------------
% 5.16/1.66 % (1545740)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4021553459:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 5.16/1.66 % (1545714)------------------------------
% 5.16/1.66 % (1545714)------------------------------
% 5.16/1.66 % (1545738)Refutation found. Thanks to Tanya!
% 5.16/1.66 % SZS status Theorem for theBenchmark
% 5.16/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 7.70/1.85 % (1545738)------------------------------
% 7.70/1.85 % (1545738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.85 % (1545738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.85 % (1545738)CaDiCaL version: 2.1.3
% 7.70/1.85 % (1545738)Termination reason: Refutation
% 7.70/1.85 % (1545738)Time elapsed: 0.006 s
% 7.70/1.85 % (1545738)Peak memory usage: 88 MB
% 7.70/1.85 % (1545738)Instructions burned: 19 (million)
% 7.70/1.85 % (1545738)------------------------------
% 7.70/1.85 % (1545738)------------------------------
% 7.70/1.85 % (1545707)Success in time 1.046 s
% 7.70/1.85 % Vampire exiting
%------------------------------------------------------------------------------