%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT019+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:06:36 AM UTC 2026
% Result : Theorem 5.02s 1.03s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 33 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 167 ( 75 ~; 67 |; 19 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 81 ( 77 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f362,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_93) ).
fof(f472,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_203) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_204) ).
fof(f475,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_206) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f909,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f911,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(f913,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_non_zero(X1) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f915,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(f917,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
? [X0,X1] : ~ accept_population(X0,X1,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_19) ).
fof(f924,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,X1,n24),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f931,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f931]) ).
fof(f937,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,[],[f911]) ).
fof(f938,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,[],[f937]) ).
fof(f940,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f913]) ).
fof(f941,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(flattening,[],[f940]) ).
fof(f943,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
fof(f945,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f917]) ).
fof(f946,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f945]) ).
fof(f951,plain,
! [X0,X1] : accept_population(X0,X1,n24),
inference(ennf_transformation,[],[f924]) ).
fof(f970,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f971,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f970]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f932]) ).
fof(f1040,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f971]) ).
fof(f1411,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(cnf_transformation,[],[f362]) ).
fof(f1521,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(cnf_transformation,[],[f472]) ).
fof(f1522,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1524,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(cnf_transformation,[],[f475]) ).
fof(f1684,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1761,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f1764,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f715]) ).
fof(f1948,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f1956,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f907]) ).
fof(f1957,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f908]) ).
fof(f1958,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f909]) ).
fof(f1960,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f938]) ).
fof(f1962,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f941]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f943]) ).
fof(f1966,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f946]) ).
fof(f1972,plain,
! [X0,X1] : accept_population(X0,X1,n24),
inference(cnf_transformation,[],[f951]) ).
fof(f1974,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1040,f1972]) ).
fof(f1984,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1411,f1974]) ).
fof(f1985,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1984,f1522]) ).
fof(f1986,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1985,f1521]) ).
fof(f1987,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(forward_subsumption_resolution,[],[f1986,f1684]) ).
fof(f2016,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f2108,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f987,f1524]) ).
fof(f2163,plain,
~ less(n75,n78),
inference(resolution,[],[f2108,f1987]) ).
fof(f2184,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2192,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2198,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2192,f1956]) ).
fof(f2199,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2198,f2184]) ).
fof(f2426,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n8),rdnn(n7)))
| less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1764,f1966]) ).
fof(f2437,plain,
! [X0,X1] :
( less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7)) ),
inference(resolution,[],[f2426,f1962]) ).
fof(f2439,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(forward_subsumption_resolution,[],[f2437,f2016]) ).
fof(f2448,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2439,f1761]) ).
fof(f2451,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(forward_subsumption_resolution,[],[f2448,f2163]) ).
fof(f2452,plain,
$false,
inference(forward_subsumption_resolution,[],[f2451,f2199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : AGT019+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 19:11:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 5.02/1.03 % (3655565)Detected formulas, will run a generic FOF schedule.
% 5.02/1.03 % (3655573)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1406273820:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.02/1.03 % (3655571)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=2841362284:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.02/1.03 % (3655570)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=4239295292:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.02/1.03 % (3655574)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1019016651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.02/1.03 % (3655572)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=1411356878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.02/1.03 % (3655576)dis-21_1_sil=8000:lcm=predicate:random_seed=4290614895: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)
% 5.02/1.03 % (3655575)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3349202096:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.02/1.03 % (3655573)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655573)------------------------------
% 5.02/1.03 % (3655573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655573)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655573)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655573)Time elapsed: 0.001 s
% 5.02/1.03 % (3655573)Peak memory usage: 87 MB
% 5.02/1.03 % (3655573)Instructions burned: 3 (million)
% 5.02/1.03 % (3655574)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655574)------------------------------
% 5.02/1.03 % (3655574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655574)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655574)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655574)Time elapsed: 0.004 s
% 5.02/1.03 % (3655574)Peak memory usage: 88 MB
% 5.02/1.03 % (3655574)Instructions burned: 15 (million)
% 5.02/1.03 % (3655576)Instruction limit reached!
% 5.02/1.03 % (3655576)------------------------------
% 5.02/1.03 % (3655576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655576)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655576)Termination reason: Instruction limit
% 5.02/1.03 % (3655576)Termination phase: Saturation
% 5.02/1.03 % (3655576)Time elapsed: 0.035 s
% 5.02/1.03 % (3655576)Peak memory usage: 90 MB
% 5.02/1.03 % (3655576)Instructions burned: 132 (million)
% 5.02/1.03 % (3655575)Instruction limit reached!
% 5.02/1.03 % (3655575)------------------------------
% 5.02/1.03 % (3655575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655575)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655575)Termination reason: Instruction limit
% 5.02/1.03 % (3655575)Termination phase: Saturation
% 5.02/1.03 % (3655575)Time elapsed: 0.046 s
% 5.02/1.03 % (3655575)Peak memory usage: 90 MB
% 5.02/1.03 % (3655575)Instructions burned: 141 (million)
% 5.02/1.03 % (3655584)lrs+10_1_sil=8000:sp=occurrence:random_seed=3363724562:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.02/1.03 % (3655584)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655584)------------------------------
% 5.02/1.03 % (3655584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655584)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655584)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655584)Time elapsed: 0.005 s
% 5.02/1.03 % (3655584)Peak memory usage: 88 MB
% 5.02/1.03 % (3655584)Instructions burned: 15 (million)
% 5.02/1.03 % (3655585)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1015972594:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.02/1.03 % (3655585)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655585)------------------------------
% 5.02/1.03 % (3655585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655585)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655585)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655585)Time elapsed: 0.003 s
% 5.02/1.03 % (3655585)Peak memory usage: 88 MB
% 5.02/1.03 % (3655585)Instructions burned: 8 (million)
% 5.02/1.03 % (3655573)------------------------------
% 5.02/1.03 % (3655573)------------------------------
% 5.02/1.03 % (3655574)------------------------------
% 5.02/1.03 % (3655574)------------------------------
% 5.02/1.03 % (3655588)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2600007846:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.02/1.03 % (3655589)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=1496206488:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.02/1.03 % (3655588)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655588)------------------------------
% 5.02/1.03 % (3655588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655588)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655588)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655588)Time elapsed: 0.001 s
% 5.02/1.03 % (3655588)Peak memory usage: 88 MB
% 5.02/1.03 % (3655588)Instructions burned: 3 (million)
% 5.02/1.03 % (3655584)------------------------------
% 5.02/1.03 % (3655584)------------------------------
% 5.02/1.03 % (3655585)------------------------------
% 5.02/1.03 % (3655585)------------------------------
% 5.02/1.03 % (3655589)Instruction limit reached!
% 5.02/1.03 % (3655589)------------------------------
% 5.02/1.03 % (3655589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655589)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655589)Termination reason: Instruction limit
% 5.02/1.03 % (3655589)Termination phase: Saturation
% 5.02/1.03 % (3655589)Time elapsed: 0.070 s
% 5.02/1.03 % (3655589)Peak memory usage: 92 MB
% 5.02/1.03 % (3655589)Instructions burned: 250 (million)
% 5.02/1.03 % (3655572)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655572)------------------------------
% 5.02/1.03 % (3655572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655572)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655572)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655572)Time elapsed: 0.343 s
% 5.02/1.03 % (3655572)Peak memory usage: 129 MB
% 5.02/1.03 % (3655572)Instructions burned: 907 (million)
% 5.02/1.03 % (3655592)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=499603722:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.02/1.03 % (3655592)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655592)------------------------------
% 5.02/1.03 % (3655592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655592)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655592)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655592)Time elapsed: 0.004 s
% 5.02/1.03 % (3655592)Peak memory usage: 88 MB
% 5.02/1.03 % (3655592)Instructions burned: 12 (million)
% 5.02/1.03 % (3655588)------------------------------
% 5.02/1.03 % (3655588)------------------------------
% 5.02/1.03 % (3655594)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=524625543:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.02/1.03 % (3655593)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2071278584:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.02/1.03 % (3655594)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655594)------------------------------
% 5.02/1.03 % (3655594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655594)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655594)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655594)Time elapsed: 0.006 s
% 5.02/1.03 % (3655594)Peak memory usage: 89 MB
% 5.02/1.03 % (3655594)Instructions burned: 16 (million)
% 5.02/1.03 % (3655571)Refutation not found, incomplete strategy
% 5.02/1.03 % (3655571)------------------------------
% 5.02/1.03 % (3655571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655571)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655571)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.03 % (3655571)Time elapsed: 0.425 s
% 5.02/1.03 % (3655571)Peak memory usage: 131 MB
% 5.02/1.03 % (3655571)Instructions burned: 1143 (million)
% 5.02/1.03 % (3655570)First to succeed.
% 5.02/1.03 % (3655570)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3655565"
% 5.02/1.03 % (3655572)------------------------------
% 5.02/1.03 % (3655572)------------------------------
% 5.02/1.03 % (3655598)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2970615808:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.02/1.03 % (3655598)Instruction limit reached!
% 5.02/1.03 % (3655598)------------------------------
% 5.02/1.03 % (3655598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.03 % (3655598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.03 % (3655598)CaDiCaL version: 2.1.3
% 5.02/1.03 % (3655598)Termination reason: Instruction limit
% 5.02/1.03 % (3655598)Termination phase: Saturation
% 5.02/1.03 % (3655598)Time elapsed: 0.034 s
% 5.02/1.03 % (3655598)Peak memory usage: 89 MB
% 5.02/1.03 % (3655598)Instructions burned: 128 (million)
% 5.02/1.03 % (3655592)------------------------------
% 5.02/1.03 % (3655592)------------------------------
% 5.02/1.03 % (3655571)------------------------------
% 5.02/1.03 % (3655571)------------------------------
% 5.02/1.03 % (3655594)------------------------------
% 5.02/1.03 % (3655594)------------------------------
% 5.02/1.03 % (3655600)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2271187371:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.02/1.03 % (3655570)Refutation found. Thanks to Tanya!
% 5.02/1.03 % SZS status Theorem for theBenchmark
% 5.02/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.12 % (3655570)------------------------------
% 5.27/1.12 % (3655570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.12 % (3655570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.12 % (3655570)CaDiCaL version: 2.1.3
% 5.27/1.12 % (3655570)Termination reason: Refutation
% 5.27/1.12 % (3655570)Time elapsed: 0.451 s
% 5.27/1.12 % (3655570)Peak memory usage: 134 MB
% 5.27/1.12 % (3655570)Instructions burned: 1259 (million)
% 5.27/1.12 % (3655570)------------------------------
% 5.27/1.12 % (3655570)------------------------------
% 5.27/1.12 % (3655565)Success in time 0.72 s
% 5.27/1.12 % Vampire exiting
%------------------------------------------------------------------------------