%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT020+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 : n006.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 7.49s 1.93s
% Output : Refutation 9.29s
% 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,christian,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_20) ).
fof(f924,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,christian,X1),
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,christian,X1),
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,christian,X1),
inference(cnf_transformation,[],[f951]) ).
fof(f1978,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(f2011,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1411,f1978]) ).
fof(f2012,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2011,f1522]) ).
fof(f2013,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2012,f1521]) ).
fof(f2014,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(forward_subsumption_resolution,[],[f2013,f1684]) ).
fof(f2022,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f2071,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f987,f1524]) ).
fof(f2084,plain,
~ less(n75,n78),
inference(resolution,[],[f2071,f2014]) ).
fof(f2089,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2097,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2103,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2097,f1956]) ).
fof(f2104,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2103,f2089]) ).
fof(f2246,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(f2257,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,[],[f2246,f1962]) ).
fof(f2259,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,[],[f2257,f2022]) ).
fof(f2261,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2259,f1761]) ).
fof(f2264,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(forward_subsumption_resolution,[],[f2261,f2084]) ).
fof(f2265,plain,
$false,
inference(forward_subsumption_resolution,[],[f2264,f2104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT020+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 19:12:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 5.25/1.56 % (82732)Detected formulas, will run a generic FOF schedule.
% 5.25/1.56 % (82739)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=3424903478:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.25/1.56 % (82738)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=221915957:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.25/1.56 % (82737)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=1505980500:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.25/1.56 % (82743)dis-21_1_sil=8000:lcm=predicate:random_seed=889997854: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)
% 5.25/1.56 % (82741)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=949354442:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.25/1.56 % (82742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=626036672:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.25/1.56 % (82740)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2603995480:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.25/1.56 % (82740)Refutation not found, incomplete strategy
% 5.25/1.56 % (82740)------------------------------
% 5.25/1.56 % (82740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.56 % (82740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.56 % (82740)CaDiCaL version: 2.1.3
% 5.25/1.56 % (82740)Termination reason: Refutation not found, incomplete strategy
% 5.25/1.56 % (82740)Time elapsed: 0.002 s
% 5.25/1.56 % (82740)Peak memory usage: 87 MB
% 5.25/1.56 % (82740)Instructions burned: 2 (million)
% 5.25/1.56 % (82741)Refutation not found, incomplete strategy
% 5.25/1.56 % (82741)------------------------------
% 5.25/1.56 % (82741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.56 % (82741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.56 % (82741)CaDiCaL version: 2.1.3
% 5.25/1.56 % (82741)Termination reason: Refutation not found, incomplete strategy
% 5.25/1.56 % (82741)Time elapsed: 0.006 s
% 5.25/1.56 % (82741)Peak memory usage: 88 MB
% 5.25/1.56 % (82741)Instructions burned: 11 (million)
% 5.25/1.56 % (82743)Instruction limit reached!
% 5.25/1.56 % (82743)------------------------------
% 5.25/1.56 % (82743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.56 % (82743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.56 % (82743)CaDiCaL version: 2.1.3
% 5.25/1.56 % (82743)Termination reason: Instruction limit
% 5.25/1.56 % (82743)Termination phase: Saturation
% 5.25/1.56 % (82743)Time elapsed: 0.064 s
% 5.25/1.56 % (82743)Peak memory usage: 90 MB
% 5.25/1.56 % (82743)Instructions burned: 130 (million)
% 5.25/1.56 % (82742)Instruction limit reached!
% 5.25/1.56 % (82742)------------------------------
% 5.25/1.56 % (82742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.56 % (82742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.56 % (82742)CaDiCaL version: 2.1.3
% 5.25/1.56 % (82742)Termination reason: Instruction limit
% 5.25/1.56 % (82742)Termination phase: Saturation
% 5.25/1.56 % (82742)Time elapsed: 0.086 s
% 5.25/1.56 % (82742)Peak memory usage: 90 MB
% 5.25/1.56 % (82742)Instructions burned: 139 (million)
% 5.25/1.56 [W928 19:12:26.143654824 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.
% 5.25/1.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.25/1.56 [W928 19:12:26.143695597 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.
% 5.25/1.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.25/1.56 [W928 19:12:26.143718210 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143724781 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143738649 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143754494 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143768090 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143774153 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143787413 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143799814 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143813936 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 [W928 19:12:26.143819391 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.
% 7.49/1.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.49/1.93 % (82751)lrs+10_1_sil=8000:sp=occurrence:random_seed=1235569293:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.49/1.93 % (82751)Refutation not found, incomplete strategy
% 7.49/1.93 % (82751)------------------------------
% 7.49/1.93 % (82751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82751)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82751)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82751)Time elapsed: 0.006 s
% 7.49/1.93 % (82751)Peak memory usage: 88 MB
% 7.49/1.93 % (82751)Instructions burned: 11 (million)
% 7.49/1.93 % (82740)------------------------------
% 7.49/1.93 % (82740)------------------------------
% 7.49/1.93 % (82752)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2569663406:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.49/1.93 % (82741)------------------------------
% 7.49/1.93 % (82741)------------------------------
% 7.49/1.93 % (82752)Refutation not found, incomplete strategy
% 7.49/1.93 % (82752)------------------------------
% 7.49/1.93 % (82752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82752)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82752)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82752)Time elapsed: 0.004 s
% 7.49/1.93 % (82752)Peak memory usage: 87 MB
% 7.49/1.93 % (82752)Instructions burned: 8 (million)
% 7.49/1.93 % (82739)Refutation not found, incomplete strategy
% 7.49/1.93 % (82739)------------------------------
% 7.49/1.93 % (82739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82739)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82739)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82739)Time elapsed: 0.326 s
% 7.49/1.93 % (82739)Peak memory usage: 128 MB
% 7.49/1.93 % (82739)Instructions burned: 833 (million)
% 7.49/1.93 % (82756)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=3408713790:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.49/1.93 % (82755)lrs+1011_1_sil=32000:sp=occurrence:random_seed=587325647:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.49/1.93 % (82755)Refutation not found, incomplete strategy
% 7.49/1.93 % (82755)------------------------------
% 7.49/1.93 % (82755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82755)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82755)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82755)Time elapsed: 0.002 s
% 7.49/1.93 % (82755)Peak memory usage: 87 MB
% 7.49/1.93 % (82755)Instructions burned: 2 (million)
% 7.49/1.93 % (82751)------------------------------
% 7.49/1.93 % (82751)------------------------------
% 7.49/1.93 % (82739)------------------------------
% 7.49/1.93 % (82739)------------------------------
% 7.49/1.93 % (82752)------------------------------
% 7.49/1.93 % (82752)------------------------------
% 7.49/1.93 % (82756)Instruction limit reached!
% 7.49/1.93 % (82756)------------------------------
% 7.49/1.93 % (82756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82756)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82756)Termination reason: Instruction limit
% 7.49/1.93 % (82756)Termination phase: Saturation
% 7.49/1.93 % (82756)Time elapsed: 0.127 s
% 7.49/1.93 % (82756)Peak memory usage: 93 MB
% 7.49/1.93 % (82756)Instructions burned: 249 (million)
% 7.49/1.93 % (82760)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2267630657:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.49/1.93 % (82759)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2432010627:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.49/1.93 % (82759)Refutation not found, incomplete strategy
% 7.49/1.93 % (82759)------------------------------
% 7.49/1.93 % (82759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82759)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82759)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82759)Time elapsed: 0.007 s
% 7.49/1.93 % (82759)Peak memory usage: 88 MB
% 7.49/1.93 % (82759)Instructions burned: 12 (million)
% 7.49/1.93 % (82761)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1600040423:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.49/1.93 % (82761)Refutation not found, incomplete strategy
% 7.49/1.93 % (82761)------------------------------
% 7.49/1.93 % (82761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82761)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82761)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82761)Time elapsed: 0.004 s
% 7.49/1.93 % (82761)Peak memory usage: 88 MB
% 7.49/1.93 % (82761)Instructions burned: 7 (million)
% 7.49/1.93 % (82755)------------------------------
% 7.49/1.93 % (82755)------------------------------
% 7.49/1.93 % (82762)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1053251380:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.49/1.93 % (82738)Refutation not found, incomplete strategy
% 7.49/1.93 % (82738)------------------------------
% 7.49/1.93 % (82738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82738)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82738)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82738)Time elapsed: 0.727 s
% 7.49/1.93 % (82738)Peak memory usage: 130 MB
% 7.49/1.93 % (82738)Instructions burned: 1082 (million)
% 7.49/1.93 % (82762)Instruction limit reached!
% 7.49/1.93 % (82762)------------------------------
% 7.49/1.93 % (82762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82762)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82762)Termination reason: Instruction limit
% 7.49/1.93 % (82762)Termination phase: Saturation
% 7.49/1.93 % (82762)Time elapsed: 0.063 s
% 7.49/1.93 % (82762)Peak memory usage: 89 MB
% 7.49/1.93 % (82762)Instructions burned: 129 (million)
% 7.49/1.93 % (82737)First to succeed.
% 7.49/1.93 % (82737)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-82732"
% 7.49/1.93 % (82766)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3868207472:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.49/1.93 % (82766)Refutation not found, incomplete strategy
% 7.49/1.93 % (82766)------------------------------
% 7.49/1.93 % (82766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82766)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82766)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82766)Time elapsed: 0.021 s
% 7.49/1.93 % (82766)Peak memory usage: 89 MB
% 7.49/1.93 % (82766)Instructions burned: 38 (million)
% 7.49/1.93 % (82759)------------------------------
% 7.49/1.93 % (82759)------------------------------
% 7.49/1.93 % (82761)------------------------------
% 7.49/1.93 % (82761)------------------------------
% 7.49/1.93 % (82768)lrs+10_1_sil=8000:sp=occurrence:random_seed=3053695118:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.49/1.93 % (82768)Refutation not found, incomplete strategy
% 7.49/1.93 % (82768)------------------------------
% 7.49/1.93 % (82768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.93 % (82768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.93 % (82768)CaDiCaL version: 2.1.3
% 7.49/1.93 % (82768)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.93 % (82768)Time elapsed: 0.008 s
% 7.49/1.93 % (82768)Peak memory usage: 88 MB
% 7.49/1.93 % (82768)Instructions burned: 15 (million)
% 7.49/1.93 % (82738)------------------------------
% 7.49/1.93 % (82738)------------------------------
% 7.49/1.93 % (82770)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2862363524:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.49/1.93 % (82737)Refutation found. Thanks to Tanya!
% 7.49/1.93 % SZS status Theorem for theBenchmark
% 7.49/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 9.29/2.12 % (82737)------------------------------
% 9.29/2.12 % (82737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.12 % (82737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.12 % (82737)CaDiCaL version: 2.1.3
% 9.29/2.12 % (82737)Termination reason: Refutation
% 9.29/2.12 % (82737)Time elapsed: 0.798 s
% 9.29/2.12 % (82737)Peak memory usage: 136 MB
% 9.29/2.12 % (82737)Instructions burned: 1229 (million)
% 9.29/2.12 % (82737)------------------------------
% 9.29/2.12 % (82737)------------------------------
% 9.29/2.12 % (82732)Success in time 1.249 s
% 9.29/2.12 % Vampire exiting
%------------------------------------------------------------------------------