%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM324+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 2.71s 1.34s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 71 ( 32 unt; 5 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 220 ( 112 ~; 94 |; 6 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 101 ( 0 sgn 99 !; 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(X0,nn5,nn3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_nn3) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(X0,nn5,nn3),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f406,plain,
! [X0] : ~ sum(X0,nn5,nn3),
inference(ennf_transformation,[],[f403]) ).
fof(f419,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(f420,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,[],[f419]) ).
fof(f435,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(f436,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,[],[f435]) ).
fof(f444,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(f445,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,[],[f444]) ).
fof(f453,plain,
! [X0] : ~ sum(X0,nn5,nn3),
inference(cnf_transformation,[],[f406]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X3,X4)
| sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(cnf_transformation,[],[f420]) ).
fof(f463,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f464,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f476,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f498,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f519,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f548,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,[],[f436]) ).
fof(f553,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f554,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f555,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f562,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,[],[f445]) ).
fof(f654,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X4,X5,X6)
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X5,rdn_neg(rdnn(X3)))
| ~ rdn_positive_less(rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X6,rdn_neg(rdnn(X1))) ),
inference(resolution,[],[f562,f460]) ).
fof(f700,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_positive_less(rdnn(X3),rdnn(X1))
| ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X1)))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X0),rdnn(n0))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X4))) ),
inference(resolution,[],[f654,f453]) ).
fof(f723,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X5))
| ~ rdn_positive_less(rdnn(X5),rdnn(X2))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X4),rdnn(X3),rdnn(n0))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X4)))
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X2))) ),
inference(resolution,[],[f700,f548]) ).
fof(f777,definition,
( spl1_14
<=> rdn_translate(nn5,rdn_neg(rdnn(n5))) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f778,plain,
( ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| spl1_14 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f800,definition,
( spl1_21
<=> ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f801,plain,
( ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f823,plain,
( $false
| spl1_14 ),
inference(resolution,[],[f778,f464]) ).
fof(f824,plain,
spl1_14,
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f828,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(n2),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X2)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n2)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f723,f555]) ).
fof(f850,definition,
( spl1_30
<=> ! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X0))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X0)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X2)))
| ~ rdn_digit_add(rdnn(n2),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X0),rdnn(n0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_30])],[avatar_definition]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X0))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X0)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X2)))
| ~ rdn_digit_add(rdnn(n2),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X0),rdnn(n0)) )
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f852,plain,
( spl1_21
| spl1_30 ),
inference(avatar_split_clause,[],[f828,f850,f800]) ).
fof(f855,plain,
( $false
| ~ spl1_21 ),
inference(resolution,[],[f801,f476]) ).
fof(f856,plain,
~ spl1_21,
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f869,plain,
( ! [X2,X3,X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X3))
| ~ rdn_positive_less(rdnn(X3),rdnn(X0))
| ~ rdn_digit_add(rdnn(n2),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X0)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X1))) )
| ~ spl1_30 ),
inference(resolution,[],[f851,f548]) ).
fof(f878,definition,
( spl1_32
<=> ! [X0,X1] :
( ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X0)))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition]) ).
fof(f879,plain,
( ! [X0,X1] :
( ~ rdn_translate(nn3,rdn_neg(rdnn(X0)))
| ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f881,definition,
( spl1_33
<=> rdn_positive_less(rdnn(n3),rdnn(n4)) ),
introduced(definition,[new_symbols(definition,[spl1_33])],[avatar_definition]) ).
fof(f882,plain,
( ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| spl1_33 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f884,plain,
( $false
| spl1_33 ),
inference(resolution,[],[f882,f554]) ).
fof(f886,plain,
spl1_33,
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f901,plain,
( ! [X0,X1] :
( ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X0))) )
| ~ spl1_30 ),
inference(resolution,[],[f869,f553]) ).
fof(f907,plain,
( ~ spl1_14
| spl1_32
| ~ spl1_33
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f901,f850,f881,f878,f777]) ).
fof(f908,plain,
( ! [X0] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0)) )
| ~ spl1_32 ),
inference(resolution,[],[f879,f463]) ).
fof(f911,plain,
( ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ spl1_32 ),
inference(resolution,[],[f908,f519]) ).
fof(f927,plain,
( $false
| ~ spl1_32 ),
inference(resolution,[],[f911,f498]) ).
fof(f928,plain,
~ spl1_32,
inference(avatar_contradiction_clause,[],[f927]) ).
cnf(s10,plain,
spl1_14,
inference(sat_conversion,[],[f824]) ).
cnf(s13,plain,
( spl1_21
| spl1_30 ),
inference(sat_conversion,[],[f852]) ).
cnf(s15,plain,
~ spl1_21,
inference(sat_conversion,[],[f856]) ).
cnf(s19,plain,
spl1_33,
inference(sat_conversion,[],[f886]) ).
cnf(s20,plain,
( ~ spl1_14
| ~ spl1_30
| spl1_32
| ~ spl1_33 ),
inference(sat_conversion,[],[f907]) ).
cnf(s22,plain,
~ spl1_32,
inference(sat_conversion,[],[f928]) ).
cnf(s23,plain,
( ~ spl1_14
| ~ spl1_30
| ~ spl1_33 ),
inference(rat,[],[s20,s22]) ).
cnf(s27,plain,
spl1_30,
inference(rat,[],[s13,s15]) ).
cnf(s28,plain,
~ spl1_14,
inference(rat,[],[s23,s19,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s10,s28]) ).
fof(f929,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM324+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:31:10 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.71/1.34 % (1730913)Detected formulas, will run a generic FOF schedule.
% 2.71/1.34 % (1730922)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3306006807:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.71/1.34 % (1730922)Refutation not found, incomplete strategy
% 2.71/1.34 % (1730922)------------------------------
% 2.71/1.34 % (1730922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.34 % (1730922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.34 % (1730922)CaDiCaL version: 2.1.3
% 2.71/1.34 % (1730922)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.34 % (1730922)Time elapsed: 0.001 s
% 2.71/1.34 % (1730922)Peak memory usage: 88 MB
% 2.71/1.34 % (1730922)Instructions burned: 2 (million)
% 2.71/1.34 % (1730920)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=44428751:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.71/1.34 % (1730919)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=3606903656:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.71/1.34 % (1730918)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=726009186:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.71/1.34 % (1730921)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1014442024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.71/1.34 % (1730921)Refutation not found, incomplete strategy
% 2.71/1.34 % (1730921)------------------------------
% 2.71/1.34 % (1730921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.34 % (1730921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.34 % (1730921)CaDiCaL version: 2.1.3
% 2.71/1.34 % (1730921)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.34 % (1730921)Time elapsed: 0.002 s
% 2.71/1.34 % (1730921)Peak memory usage: 87 MB
% 2.71/1.34 % (1730921)Instructions burned: 1 (million)
% 2.71/1.34 % (1730923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2682128608:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.71/1.34 % (1730924)dis-21_1_sil=8000:lcm=predicate:random_seed=163425406: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)
% 2.71/1.34 % (1730924)First to succeed.
% 2.71/1.34 % (1730924)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1730913"
% 2.71/1.34 % (1730923)Instruction limit reached!
% 2.71/1.34 % (1730923)------------------------------
% 2.71/1.34 % (1730923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.34 % (1730923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.34 % (1730923)CaDiCaL version: 2.1.3
% 2.71/1.34 % (1730923)Termination reason: Instruction limit
% 2.71/1.34 % (1730923)Termination phase: Saturation
% 2.71/1.34 % (1730923)Time elapsed: 0.086 s
% 2.71/1.34 % (1730923)Peak memory usage: 90 MB
% 2.71/1.34 % (1730923)Instructions burned: 140 (million)
% 2.71/1.34 % (1730922)------------------------------
% 2.71/1.34 % (1730922)------------------------------
% 2.71/1.34 % (1730921)------------------------------
% 2.71/1.34 % (1730921)------------------------------
% 2.71/1.34 % (1730933)lrs+10_1_sil=32000:urr=on:br=off:random_seed=787536525:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.71/1.34 % (1730933)Refutation not found, incomplete strategy
% 2.71/1.34 % (1730933)------------------------------
% 2.71/1.34 % (1730933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.34 % (1730933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.34 % (1730933)CaDiCaL version: 2.1.3
% 2.71/1.34 % (1730933)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.34 % (1730933)Time elapsed: 0.002 s
% 2.71/1.34 % (1730933)Peak memory usage: 88 MB
% 2.71/1.34 % (1730933)Instructions burned: 5 (million)
% 2.71/1.34 % (1730932)lrs+10_1_sil=8000:sp=occurrence:random_seed=2471828928:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.71/1.34 % (1730932)Refutation not found, incomplete strategy
% 2.71/1.34 % (1730932)------------------------------
% 2.71/1.34 % (1730932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.34 % (1730932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.34 % (1730932)CaDiCaL version: 2.1.3
% 2.71/1.34 % (1730932)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.34 % (1730932)Time elapsed: 0.003 s
% 2.71/1.34 % (1730932)Peak memory usage: 89 MB
% 2.71/1.34 % (1730932)Instructions burned: 2 (million)
% 2.71/1.34 % (1730924)Refutation found. Thanks to Tanya!
% 2.71/1.34 % SZS status Theorem for theBenchmark
% 2.71/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.54 % (1730924)------------------------------
% 3.88/1.54 % (1730924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.54 % (1730924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.54 % (1730924)CaDiCaL version: 2.1.3
% 3.88/1.54 % (1730924)Termination reason: Refutation
% 3.88/1.54 % (1730924)Time elapsed: 0.017 s
% 3.88/1.54 % (1730924)Peak memory usage: 89 MB
% 3.88/1.54 % (1730924)Instructions burned: 26 (million)
% 3.88/1.54 % (1730924)------------------------------
% 3.88/1.54 % (1730924)------------------------------
% 3.88/1.54 % (1730913)Success in time 0.469 s
% 3.88/1.54 % Vampire exiting
%------------------------------------------------------------------------------