%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR052+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:42:21 AM UTC 2026
% Result : Theorem 5.28s 1.89s
% Output : Refutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 30 ~; 13 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_4) ).
fof(f16,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_16) ).
fof(f54,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_54) ).
fof(f76,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_76) ).
fof(f186,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_186) ).
fof(f424,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_424) ).
fof(f438,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_438) ).
fof(f470,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_470) ).
fof(f1113,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1113) ).
fof(f1132,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query102) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1137,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1138,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f1113]) ).
fof(f1139,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f1138]) ).
fof(f1171,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f1137]) ).
fof(f1172,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(cnf_transformation,[],[f4]) ).
fof(f1173,plain,
! [X2,X0,X1] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(cnf_transformation,[],[f1139]) ).
fof(f1179,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f438]) ).
fof(f1182,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(cnf_transformation,[],[f186]) ).
fof(f1186,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(cnf_transformation,[],[f470]) ).
fof(f1190,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(cnf_transformation,[],[f16]) ).
fof(f1194,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(cnf_transformation,[],[f76]) ).
fof(f1198,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(cnf_transformation,[],[f54]) ).
fof(f1202,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(cnf_transformation,[],[f424]) ).
fof(f1216,plain,
! [X0] :
( ~ genls(c_tptpcol_15_40430,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1173,f1171]) ).
fof(f1217,plain,
~ genls(c_tptpcol_14_40429,c_tptpcol_7_39939),
inference(resolution,[],[f1216,f1172]) ).
fof(f1219,plain,
! [X0] :
( ~ genls(c_tptpcol_14_40429,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1217,f1173]) ).
fof(f1220,plain,
~ genls(c_tptpcol_13_40421,c_tptpcol_7_39939),
inference(resolution,[],[f1219,f1182]) ).
fof(f1222,plain,
! [X0] :
( ~ genls(c_tptpcol_13_40421,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1220,f1173]) ).
fof(f1223,plain,
~ genls(c_tptpcol_12_40420,c_tptpcol_7_39939),
inference(resolution,[],[f1222,f1190]) ).
fof(f1232,plain,
! [X0] :
( ~ genls(c_tptpcol_12_40420,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1223,f1173]) ).
fof(f1234,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939),
inference(resolution,[],[f1232,f1198]) ).
fof(f1236,plain,
! [X0] :
( ~ genls(c_tptpcol_11_40388,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1234,f1173]) ).
fof(f1245,plain,
~ genls(c_tptpcol_10_40324,c_tptpcol_7_39939),
inference(resolution,[],[f1236,f1202]) ).
fof(f1255,plain,
! [X0] :
( ~ genls(c_tptpcol_10_40324,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1245,f1173]) ).
fof(f1256,plain,
~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939),
inference(resolution,[],[f1255,f1194]) ).
fof(f1266,plain,
! [X0] :
( ~ genls(c_tptpcol_9_40196,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f1256,f1173]) ).
fof(f1275,plain,
~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(resolution,[],[f1266,f1186]) ).
fof(f1277,plain,
$false,
inference(forward_subsumption_resolution,[],[f1275,f1179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR052+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n004.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Mon Sep 28 22:18:07 UTC 2026
% 0.24/0.27 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.28/1.89 % (851258)Detected formulas, will run a generic FOF schedule.
% 5.28/1.89 % (851264)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=322368375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.28/1.89 % (851267)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=925223547:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.28/1.89 % (851267)First to succeed.
% 5.28/1.89 % (851267)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-851258"
% 5.28/1.89 % (851263)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=1540847412:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.28/1.89 % (851265)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=2273203504:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.28/1.89 % (851268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=465593754:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.28/1.89 % (851269)dis-21_1_sil=8000:lcm=predicate:random_seed=4046719670: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)
% 5.28/1.89 % (851266)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2786859238:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.28/1.89 % (851268)Also succeeded, but the first one will report.
% 5.28/1.89 % (851266)Refutation not found, incomplete strategy
% 5.28/1.89 % (851266)------------------------------
% 5.28/1.89 % (851266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.89 % (851266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.89 % (851266)CaDiCaL version: 2.1.3
% 5.28/1.89 % (851266)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.89 % (851266)Time elapsed: 0.005 s
% 5.28/1.89 % (851266)Peak memory usage: 88 MB
% 5.28/1.89 % (851266)Instructions burned: 3 (million)
% 5.28/1.89 % (851269)Instruction limit reached!
% 5.28/1.89 % (851269)------------------------------
% 5.28/1.89 % (851269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.89 % (851269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.89 % (851269)CaDiCaL version: 2.1.3
% 5.28/1.89 % (851269)Termination reason: Instruction limit
% 5.28/1.89 % (851269)Termination phase: Saturation
% 5.28/1.89 % (851269)Time elapsed: 0.104 s
% 5.28/1.89 % (851269)Peak memory usage: 89 MB
% 5.28/1.89 % (851269)Instructions burned: 129 (million)
% 5.28/1.89 % (851267)Refutation found. Thanks to Tanya!
% 5.28/1.89 % SZS status Theorem for theBenchmark
% 5.28/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 5.28/1.89 % (851267)------------------------------
% 5.28/1.89 % (851267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.89 % (851267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.89 % (851267)CaDiCaL version: 2.1.3
% 5.28/1.89 % (851267)Termination reason: Refutation
% 5.28/1.89 % (851267)Time elapsed: 0.008 s
% 5.28/1.89 % (851267)Peak memory usage: 89 MB
% 5.28/1.89 % (851267)Instructions burned: 6 (million)
% 5.28/1.89 % (851267)------------------------------
% 5.28/1.89 % (851267)------------------------------
% 5.28/1.89 % (851258)Success in time 0.634 s
% 5.28/1.89 % Vampire exiting
%------------------------------------------------------------------------------