%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT009+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 : n003.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 09:06:33 AM UTC 2026
% Result : Theorem 6.73s 1.91s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 22 unt; 0 def)
% Number of atoms : 201 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 238 ( 100 ~; 91 |; 40 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).
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(f17,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,citya) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_204) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
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,
~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_9) ).
fof(f924,negated_conjecture,
~ ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(flattening,[],[f924]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f933,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f932]) ).
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(ennf_transformation,[],[f913]) ).
fof(f942,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,[],[f941]) ).
fof(f944,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
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(ennf_transformation,[],[f917]) ).
fof(f947,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,[],[f946]) ).
fof(f952,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f953,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f952]) ).
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(f972,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f973,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f972]) ).
fof(f984,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f953]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f933]) ).
fof(f1040,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[],[f971]) ).
fof(f1047,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1048,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1050,plain,
! [X0] :
( accept_population(X0,christian,n25)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1051,plain,
! [X0] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1522,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1684,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1710,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
fof(f1711,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f662]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1955,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
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,[],[f942]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f944]) ).
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,[],[f947]) ).
fof(f1972,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(cnf_transformation,[],[f925]) ).
fof(f1974,plain,
accept_city(muslimcountrybhumanitarianorganization,citya),
inference(resolution,[],[f984,f1972]) ).
fof(f1983,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
| less(X0,n25)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1711]) ).
fof(f1989,plain,
! [X0] :
( ~ accept_city(X0,citya)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(resolution,[],[f1047,f1040]) ).
fof(f1991,plain,
! [X0] :
( ~ accept_city(X0,citya)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1989,f1051]) ).
fof(f1992,plain,
! [X0] :
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_city(X0,citya)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1991,f1048]) ).
fof(f1993,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1522,f1992]) ).
fof(f1994,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1993,f1974]) ).
fof(f1995,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(forward_subsumption_resolution,[],[f1994,f1684]) ).
fof(f1999,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f2008,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2)))) ),
inference(resolution,[],[f1962,f1983]) ).
fof(f2009,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2))))
| less(X1,n25)
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f2008,f1999]) ).
fof(f2095,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ less(X1,n25)
| ~ accept_city(X0,citya) ),
inference(resolution,[],[f987,f1050]) ).
fof(f2146,plain,
( ~ less(n24,n25)
| ~ accept_city(muslimcountrybhumanitarianorganization,citya) ),
inference(resolution,[],[f2095,f1995]) ).
fof(f2147,plain,
~ less(n24,n25),
inference(forward_subsumption_resolution,[],[f2146,f1974]) ).
fof(f2151,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f1710,f2009]) ).
fof(f2155,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(forward_subsumption_resolution,[],[f2151,f2147]) ).
fof(f2156,plain,
$false,
inference(forward_subsumption_resolution,[],[f2155,f1955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT009+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:10:58 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 7.44/1.89 % (1888304)Detected formulas, will run a generic FOF schedule.
% 7.44/1.89 % (1888313)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2068141270:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.44/1.89 % (1888313)Refutation not found, incomplete strategy
% 7.44/1.89 % (1888313)------------------------------
% 7.44/1.89 % (1888313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.89 % (1888313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.89 % (1888313)CaDiCaL version: 2.1.3
% 7.44/1.89 % (1888313)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.89 % (1888313)Time elapsed: 0.005 s
% 7.44/1.89 % (1888313)Peak memory usage: 88 MB
% 7.44/1.89 % (1888313)Instructions burned: 16 (million)
% 7.44/1.89 % (1888310)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=162278733:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.44/1.89 % (1888314)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2377451736:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.44/1.89 % (1888312)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3872923625:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.44/1.89 % (1888315)dis-21_1_sil=8000:lcm=predicate:random_seed=3069074859: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)
% 7.44/1.89 % (1888309)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=3167673167:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.44/1.89 % (1888311)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=2981144710:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.44/1.89 % (1888312)Refutation not found, incomplete strategy
% 7.44/1.89 % (1888312)------------------------------
% 7.44/1.89 % (1888312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.89 % (1888312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.89 % (1888312)CaDiCaL version: 2.1.3
% 7.44/1.89 % (1888312)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.89 % (1888312)Time elapsed: 0.003 s
% 7.44/1.89 % (1888312)Peak memory usage: 88 MB
% 7.44/1.89 % (1888312)Instructions burned: 3 (million)
% 7.44/1.89 % (1888315)Instruction limit reached!
% 7.44/1.89 % (1888315)------------------------------
% 7.44/1.89 % (1888315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.89 % (1888315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.89 % (1888315)CaDiCaL version: 2.1.3
% 7.44/1.89 % (1888315)Termination reason: Instruction limit
% 7.44/1.89 % (1888315)Termination phase: Saturation
% 7.44/1.89 % (1888315)Time elapsed: 0.063 s
% 7.44/1.89 % (1888315)Peak memory usage: 90 MB
% 7.44/1.89 % (1888315)Instructions burned: 131 (million)
% 7.44/1.89 % (1888314)Instruction limit reached!
% 7.44/1.89 % (1888314)------------------------------
% 7.44/1.89 % (1888314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.89 % (1888314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.89 % (1888314)CaDiCaL version: 2.1.3
% 7.44/1.89 % (1888314)Termination reason: Instruction limit
% 7.44/1.89 % (1888314)Termination phase: Saturation
% 7.44/1.89 % (1888314)Time elapsed: 0.081 s
% 7.44/1.89 % (1888314)Peak memory usage: 90 MB
% 7.44/1.89 % (1888314)Instructions burned: 139 (million)
% 7.44/1.89 % (1888313)------------------------------
% 7.44/1.89 % (1888313)------------------------------
% 7.44/1.89 % (1888323)lrs+10_1_sil=8000:sp=occurrence:random_seed=786132480:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.44/1.89 % (1888323)Refutation not found, incomplete strategy
% 7.44/1.89 % (1888323)------------------------------
% 7.44/1.89 % (1888323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.89 % (1888323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.89 % (1888323)CaDiCaL version: 2.1.3
% 7.44/1.89 % (1888323)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.89 % (1888323)Time elapsed: 0.009 s
% 7.44/1.89 % (1888323)Peak memory usage: 89 MB
% 6.73/1.91 % (1888323)Instructions burned: 14 (million)
% 6.73/1.91 % (1888324)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3066384177:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.73/1.91 % (1888324)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888324)------------------------------
% 6.73/1.91 % (1888324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888324)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888324)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888324)Time elapsed: 0.005 s
% 6.73/1.91 % (1888324)Peak memory usage: 88 MB
% 6.73/1.91 % (1888324)Instructions burned: 8 (million)
% 6.73/1.91 % (1888312)------------------------------
% 6.73/1.91 % (1888312)------------------------------
% 6.73/1.91 % (1888325)lrs+1011_1_sil=32000:sp=occurrence:random_seed=248055835:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.73/1.91 % (1888325)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888325)------------------------------
% 6.73/1.91 % (1888325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888325)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888325)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888325)Time elapsed: 0.001 s
% 6.73/1.91 % (1888325)Peak memory usage: 88 MB
% 6.73/1.91 % (1888325)Instructions burned: 3 (million)
% 6.73/1.91 % (1888325)------------------------------
% 6.73/1.91 % (1888325)------------------------------
% 6.73/1.91 % (1888329)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=2131558927:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.73/1.91 % (1888323)------------------------------
% 6.73/1.91 % (1888323)------------------------------
% 6.73/1.91 % (1888324)------------------------------
% 6.73/1.91 % (1888324)------------------------------
% 6.73/1.91 % (1888330)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2075351505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.73/1.91 % (1888330)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888330)------------------------------
% 6.73/1.91 % (1888330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888330)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888330)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888330)Time elapsed: 0.004 s
% 6.73/1.91 % (1888330)Peak memory usage: 88 MB
% 6.73/1.91 % (1888330)Instructions burned: 12 (million)
% 6.73/1.91 % (1888329)Instruction limit reached!
% 6.73/1.91 % (1888329)------------------------------
% 6.73/1.91 % (1888329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888329)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888329)Termination reason: Instruction limit
% 6.73/1.91 % (1888329)Termination phase: Saturation
% 6.73/1.91 % (1888329)Time elapsed: 0.128 s
% 6.73/1.91 % (1888329)Peak memory usage: 92 MB
% 6.73/1.91 % (1888329)Instructions burned: 249 (million)
% 6.73/1.91 % (1888311)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888311)------------------------------
% 6.73/1.91 % (1888311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888311)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888311)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888311)Time elapsed: 0.611 s
% 6.73/1.91 % (1888311)Peak memory usage: 129 MB
% 6.73/1.91 % (1888311)Instructions burned: 900 (million)
% 6.73/1.91 % (1888332)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=727435160:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.73/1.91 % (1888333)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1866641445:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.73/1.91 % (1888333)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888333)------------------------------
% 6.73/1.91 % (1888333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888333)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888333)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888333)Time elapsed: 0.006 s
% 6.73/1.91 % (1888333)Peak memory usage: 89 MB
% 6.73/1.91 % (1888333)Instructions burned: 9 (million)
% 6.73/1.91 % (1888330)------------------------------
% 6.73/1.91 % (1888330)------------------------------
% 6.73/1.91 % (1888335)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2146047087:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.73/1.91 % (1888310)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888310)------------------------------
% 6.73/1.91 % (1888310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888310)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888310)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888310)Time elapsed: 0.748 s
% 6.73/1.91 % (1888310)Peak memory usage: 131 MB
% 6.73/1.91 % (1888310)Instructions burned: 1118 (million)
% 6.73/1.91 % (1888335)Instruction limit reached!
% 6.73/1.91 % (1888335)------------------------------
% 6.73/1.91 % (1888335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888335)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888335)Termination reason: Instruction limit
% 6.73/1.91 % (1888335)Termination phase: Saturation
% 6.73/1.91 % (1888335)Time elapsed: 0.061 s
% 6.73/1.91 % (1888335)Peak memory usage: 89 MB
% 6.73/1.91 % (1888335)Instructions burned: 127 (million)
% 6.73/1.91 % (1888309)First to succeed.
% 6.73/1.91 % (1888309)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1888304"
% 6.73/1.91 % (1888338)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1484971250:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.73/1.91 % (1888338)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888338)------------------------------
% 6.73/1.91 % (1888338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888338)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888338)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888338)Time elapsed: 0.014 s
% 6.73/1.91 % (1888338)Peak memory usage: 90 MB
% 6.73/1.91 % (1888338)Instructions burned: 48 (million)
% 6.73/1.91 % (1888311)------------------------------
% 6.73/1.91 % (1888311)------------------------------
% 6.73/1.91 % (1888333)------------------------------
% 6.73/1.91 % (1888333)------------------------------
% 6.73/1.91 % (1888340)lrs+10_1_sil=8000:sp=occurrence:random_seed=1606649357:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.73/1.91 % (1888340)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888340)------------------------------
% 6.73/1.91 % (1888340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888340)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888340)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888340)Time elapsed: 0.011 s
% 6.73/1.91 % (1888340)Peak memory usage: 89 MB
% 6.73/1.91 % (1888340)Instructions burned: 20 (million)
% 6.73/1.91 % (1888338)------------------------------
% 6.73/1.91 % (1888338)------------------------------
% 6.73/1.91 % (1888310)------------------------------
% 6.73/1.91 % (1888310)------------------------------
% 6.73/1.91 % (1888342)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=633081502:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 6.73/1.91 % (1888342)Refutation not found, incomplete strategy
% 6.73/1.91 % (1888342)------------------------------
% 6.73/1.91 % (1888342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.91 % (1888342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.91 % (1888342)CaDiCaL version: 2.1.3
% 6.73/1.91 % (1888342)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.91 % (1888342)Time elapsed: 0.003 s
% 6.73/1.91 % (1888342)Peak memory usage: 88 MB
% 6.73/1.91 % (1888342)Instructions burned: 3 (million)
% 6.73/1.91 % (1888309)Refutation found. Thanks to Tanya!
% 6.73/1.91 % SZS status Theorem for theBenchmark
% 6.73/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 9.32/2.06 % (1888309)------------------------------
% 9.32/2.06 % (1888309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.06 % (1888309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.06 % (1888309)CaDiCaL version: 2.1.3
% 9.32/2.06 % (1888309)Termination reason: Refutation
% 9.32/2.06 % (1888309)Time elapsed: 0.789 s
% 9.32/2.06 % (1888309)Peak memory usage: 137 MB
% 9.32/2.06 % (1888309)Instructions burned: 1217 (million)
% 9.32/2.06 % (1888309)------------------------------
% 9.32/2.06 % (1888309)------------------------------
% 9.32/2.06 % (1888304)Success in time 1.248 s
% 9.32/2.06 % Vampire exiting
%------------------------------------------------------------------------------