%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR052+1 : 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 : n005.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 6.37s 2.09s
% Output : Refutation 6.37s
% 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(f8,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f10,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f12,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f14,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f16,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
fof(f18,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
fof(f20,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).
fof(f22,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just89) ).
fof(f96,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',query52) ).
fof(f97,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)],[f96]) ).
fof(f98,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,[],[f97]) ).
fof(f101,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f101]) ).
fof(f138,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f98]) ).
fof(f140,plain,
! [X2,X0,X1] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f145,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f8]) ).
fof(f146,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(cnf_transformation,[],[f22]) ).
fof(f158,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(cnf_transformation,[],[f10]) ).
fof(f161,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(cnf_transformation,[],[f20]) ).
fof(f166,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(cnf_transformation,[],[f12]) ).
fof(f170,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(cnf_transformation,[],[f18]) ).
fof(f175,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(cnf_transformation,[],[f14]) ).
fof(f179,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(cnf_transformation,[],[f16]) ).
fof(f216,plain,
! [X0] :
( ~ genls(c_tptpcol_15_40430,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f140,f138]) ).
fof(f217,plain,
~ genls(c_tptpcol_14_40429,c_tptpcol_7_39939),
inference(resolution,[],[f216,f146]) ).
fof(f219,plain,
! [X0] :
( ~ genls(c_tptpcol_14_40429,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f217,f140]) ).
fof(f220,plain,
~ genls(c_tptpcol_13_40421,c_tptpcol_7_39939),
inference(resolution,[],[f219,f161]) ).
fof(f225,plain,
! [X0] :
( ~ genls(c_tptpcol_13_40421,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f220,f140]) ).
fof(f226,plain,
~ genls(c_tptpcol_12_40420,c_tptpcol_7_39939),
inference(resolution,[],[f225,f170]) ).
fof(f236,plain,
! [X0] :
( ~ genls(c_tptpcol_12_40420,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f226,f140]) ).
fof(f245,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939),
inference(resolution,[],[f236,f179]) ).
fof(f247,plain,
! [X0] :
( ~ genls(c_tptpcol_11_40388,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f245,f140]) ).
fof(f256,plain,
~ genls(c_tptpcol_10_40324,c_tptpcol_7_39939),
inference(resolution,[],[f247,f175]) ).
fof(f266,plain,
! [X0] :
( ~ genls(c_tptpcol_10_40324,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f256,f140]) ).
fof(f267,plain,
~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939),
inference(resolution,[],[f266,f166]) ).
fof(f277,plain,
! [X0] :
( ~ genls(c_tptpcol_9_40196,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f267,f140]) ).
fof(f286,plain,
~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(resolution,[],[f277,f158]) ).
fof(f288,plain,
$false,
inference(forward_subsumption_resolution,[],[f286,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR052+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.30 % Computer : n005.cluster.edu
% 0.28/0.30 % Model : x86_64 x86_64
% 0.28/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.30 % Memory : 8046.5625MB
% 0.28/0.30 % OS : Linux 6.8.0-71-generic
% 0.28/0.30 % CPULimit : 300
% 0.28/0.30 % WCLimit : 300
% 0.28/0.30 % DateTime : Mon Sep 28 22:18:01 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.37 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
% 6.37/2.09 % (1246405)Detected formulas, will run a generic FOF schedule.
% 6.37/2.09 % (1246411)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=3443740831:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.37/2.09 % (1246410)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=2594727064:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.37/2.09 % (1246413)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=585082109:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.37/2.09 % (1246412)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=3151481980:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.37/2.09 % (1246413)Refutation not found, incomplete strategy
% 6.37/2.09 % (1246413)------------------------------
% 6.37/2.09 % (1246413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/2.09 % (1246413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/2.09 % (1246413)CaDiCaL version: 2.1.3
% 6.37/2.09 % (1246413)Termination reason: Refutation not found, incomplete strategy
% 6.37/2.09 % (1246413)Time elapsed: 0.002 s
% 6.37/2.09 % (1246413)Peak memory usage: 87 MB
% 6.37/2.09 % (1246414)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4133706468:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.37/2.09 % (1246414)First to succeed.
% 6.37/2.09 % (1246414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1246405"
% 6.37/2.09 % (1246415)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=299874346:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.37/2.09 % (1246416)dis-21_1_sil=8000:lcm=predicate:random_seed=20986918: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)
% 6.37/2.09 % (1246415)Also succeeded, but the first one will report.
% 6.37/2.09 % (1246416)Also succeeded, but the first one will report.
% 6.37/2.09 % (1246413)------------------------------
% 6.37/2.09 % (1246413)------------------------------
% 6.37/2.09 % (1246414)Refutation found. Thanks to Tanya!
% 6.37/2.09 % SZS status Theorem for theBenchmark
% 6.37/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 6.37/2.09 % (1246414)------------------------------
% 6.37/2.09 % (1246414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/2.09 % (1246414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/2.09 % (1246414)CaDiCaL version: 2.1.3
% 6.37/2.09 % (1246414)Termination reason: Refutation
% 6.37/2.09 % (1246414)Time elapsed: 0.006 s
% 6.37/2.09 % (1246414)Peak memory usage: 88 MB
% 6.37/2.09 % (1246414)Instructions burned: 4 (million)
% 6.37/2.09 % (1246414)------------------------------
% 6.37/2.09 % (1246414)------------------------------
% 6.37/2.09 % (1246405)Success in time 0.756 s
% 6.37/2.09 % Vampire exiting
%------------------------------------------------------------------------------