%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR052+3 : 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 : 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 09:42:21 AM UTC 2026
% Result : Theorem 2.18s 0.78s
% Output : Refutation 2.18s
% 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(f2000,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2000) ).
fof(f2677,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2677) ).
fof(f2699,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2699) ).
fof(f2704,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2704) ).
fof(f3347,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3347) ).
fof(f3640,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3640) ).
fof(f3797,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3797) ).
fof(f4332,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4332) ).
fof(f7995,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7995) ).
fof(f8006,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',query152) ).
fof(f8007,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)],[f8006]) ).
fof(f8008,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,[],[f8007]) ).
fof(f8009,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f7995]) ).
fof(f8010,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f8009]) ).
fof(f8048,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f8008]) ).
fof(f8049,plain,
! [X2,X0,X1] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(cnf_transformation,[],[f8010]) ).
fof(f8057,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(cnf_transformation,[],[f2704]) ).
fof(f8059,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(cnf_transformation,[],[f4332]) ).
fof(f8066,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(cnf_transformation,[],[f2699]) ).
fof(f8070,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(cnf_transformation,[],[f2677]) ).
fof(f8076,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(cnf_transformation,[],[f3347]) ).
fof(f8082,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(cnf_transformation,[],[f3797]) ).
fof(f8088,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(cnf_transformation,[],[f3640]) ).
fof(f8094,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(cnf_transformation,[],[f2000]) ).
fof(f8113,plain,
! [X0] :
( ~ genls(c_tptpcol_15_40430,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8049,f8048]) ).
fof(f8114,plain,
~ genls(c_tptpcol_14_40429,c_tptpcol_7_39939),
inference(resolution,[],[f8113,f8059]) ).
fof(f8116,plain,
! [X0] :
( ~ genls(c_tptpcol_14_40429,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8114,f8049]) ).
fof(f8117,plain,
~ genls(c_tptpcol_13_40421,c_tptpcol_7_39939),
inference(resolution,[],[f8116,f8070]) ).
fof(f8119,plain,
! [X0] :
( ~ genls(c_tptpcol_13_40421,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8117,f8049]) ).
fof(f8127,plain,
~ genls(c_tptpcol_12_40420,c_tptpcol_7_39939),
inference(resolution,[],[f8119,f8082]) ).
fof(f8129,plain,
! [X0] :
( ~ genls(c_tptpcol_12_40420,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8127,f8049]) ).
fof(f8131,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939),
inference(resolution,[],[f8129,f8094]) ).
fof(f8141,plain,
! [X0] :
( ~ genls(c_tptpcol_11_40388,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8131,f8049]) ).
fof(f8142,plain,
~ genls(c_tptpcol_10_40324,c_tptpcol_7_39939),
inference(resolution,[],[f8141,f8088]) ).
fof(f8152,plain,
! [X0] :
( ~ genls(c_tptpcol_10_40324,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8142,f8049]) ).
fof(f8161,plain,
~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939),
inference(resolution,[],[f8152,f8076]) ).
fof(f8163,plain,
! [X0] :
( ~ genls(c_tptpcol_9_40196,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[],[f8161,f8049]) ).
fof(f8172,plain,
~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(resolution,[],[f8163,f8066]) ).
fof(f8174,plain,
$false,
inference(forward_subsumption_resolution,[],[f8172,f8057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 22:18:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.14 Running first-order theorem proving
% 0.09/0.14 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
% 2.18/0.78 % (3855212)Detected formulas, will run a generic FOF schedule.
% 2.18/0.78 % (3855302)dis-21_1_sil=8000:lcm=predicate:random_seed=1072807432: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)
% 2.18/0.78 % (3855298)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=225986390:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.18/0.78 % (3855301)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2164033505:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.18/0.78 % (3855296)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=2100339622:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.18/0.78 % (3855300)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=619876041:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.18/0.78 % (3855297)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=1480664545:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.18/0.78 % (3855299)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2652242605:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.18/0.78 % (3855299)Refutation not found, incomplete strategy
% 2.18/0.78 % (3855299)------------------------------
% 2.18/0.78 % (3855299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855299)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855299)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.78 % (3855299)Time elapsed: 0.009 s
% 2.18/0.78 % (3855299)Peak memory usage: 93 MB
% 2.18/0.78 % (3855299)Instructions burned: 24 (million)
% 2.18/0.78 % (3855300)First to succeed.
% 2.18/0.78 % (3855300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3855212"
% 2.18/0.78 % (3855302)Instruction limit reached!
% 2.18/0.78 % (3855302)------------------------------
% 2.18/0.78 % (3855302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855302)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855302)Termination reason: Instruction limit
% 2.18/0.78 % (3855302)Termination phase: Saturation
% 2.18/0.78 % (3855302)Time elapsed: 0.038 s
% 2.18/0.78 % (3855302)Peak memory usage: 94 MB
% 2.18/0.78 % (3855302)Instructions burned: 131 (million)
% 2.18/0.78 % (3855301)Instruction limit reached!
% 2.18/0.78 % (3855301)------------------------------
% 2.18/0.78 % (3855301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855301)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855301)Termination reason: Instruction limit
% 2.18/0.78 % (3855301)Termination phase: Property scanning
% 2.18/0.78 % (3855301)Time elapsed: 0.043 s
% 2.18/0.78 % (3855301)Peak memory usage: 92 MB
% 2.18/0.78 % (3855301)Instructions burned: 141 (million)
% 2.18/0.78 % (3855336)lrs+10_1_sil=8000:sp=occurrence:random_seed=2285910390:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.18/0.78 % (3855337)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1960951557:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.18/0.78 % (3855336)Refutation not found, incomplete strategy
% 2.18/0.78 % (3855336)------------------------------
% 2.18/0.78 % (3855336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855336)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855336)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.78 % (3855336)Time elapsed: 0.010 s
% 2.18/0.78 % (3855336)Peak memory usage: 94 MB
% 2.18/0.78 % (3855336)Instructions burned: 23 (million)
% 2.18/0.78 % (3855337)Refutation not found, incomplete strategy
% 2.18/0.78 % (3855337)------------------------------
% 2.18/0.78 % (3855337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855337)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855337)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.78 % (3855337)Time elapsed: 0.016 s
% 2.18/0.78 % (3855337)Peak memory usage: 94 MB
% 2.18/0.78 % (3855337)Instructions burned: 57 (million)
% 2.18/0.78 % (3855299)------------------------------
% 2.18/0.78 % (3855299)------------------------------
% 2.18/0.78 % (3855300)Refutation found. Thanks to Tanya!
% 2.18/0.78 % SZS status Theorem for theBenchmark
% 2.18/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.78 % (3855300)------------------------------
% 2.18/0.78 % (3855300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.78 % (3855300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.78 % (3855300)CaDiCaL version: 2.1.3
% 2.18/0.78 % (3855300)Termination reason: Refutation
% 2.18/0.78 % (3855300)Time elapsed: 0.010 s
% 2.18/0.78 % (3855300)Peak memory usage: 94 MB
% 2.18/0.78 % (3855300)Instructions burned: 28 (million)
% 2.18/0.78 % (3855300)------------------------------
% 2.18/0.78 % (3855300)------------------------------
% 2.18/0.78 % (3855212)Success in time 0.328 s
% 2.18/0.78 % Vampire exiting
%------------------------------------------------------------------------------