%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:42:33 AM UTC 2026
% Result : Theorem 3.68s 1.32s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 14 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f47,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(f56,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query68) ).
fof(f57,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f60,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f61]) ).
fof(f65,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f58]) ).
fof(f66,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f58]) ).
fof(f67,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f68,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f7]) ).
fof(f69,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f8]) ).
fof(f70,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f72,plain,
( ~ mtvisible(c_tptp_member2356_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f67,f68]) ).
fof(f73,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f72,f65]) ).
fof(f74,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ),
inference(forward_subsumption_resolution,[],[f70,f73]) ).
fof(f75,plain,
~ furpelt(c_theprototypicalfurpelt),
inference(resolution,[],[f74,f66]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n007.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:21:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.68/1.32 % (2924166)Detected formulas, will run a generic FOF schedule.
% 3.68/1.32 % (2924240)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1062171570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.68/1.32 % (2924240)Refutation not found, incomplete strategy
% 3.68/1.32 % (2924240)------------------------------
% 3.68/1.32 % (2924240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.32 % (2924240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.32 % (2924240)CaDiCaL version: 2.1.3
% 3.68/1.32 % (2924240)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.32 % (2924240)Time elapsed: 0.001 s
% 3.68/1.32 % (2924240)Peak memory usage: 88 MB
% 3.68/1.32 % (2924241)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1429549250:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.68/1.32 % (2924238)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=2288233335:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.68/1.32 % (2924235)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=2910267646:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.68/1.32 % (2924242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3092797724:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.68/1.32 % (2924236)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=2177575748:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.68/1.32 % (2924241)First to succeed.
% 3.68/1.32 % (2924241)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2924166"
% 3.68/1.32 % (2924242)Also succeeded, but the first one will report.
% 3.68/1.32 % (2924243)dis-21_1_sil=8000:lcm=predicate:random_seed=378115923: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)
% 3.68/1.32 % (2924243)Also succeeded, but the first one will report.
% 3.68/1.32 % (2924240)------------------------------
% 3.68/1.32 % (2924240)------------------------------
% 3.68/1.32 % (2924241)Refutation found. Thanks to Tanya!
% 3.68/1.32 % SZS status Theorem for theBenchmark
% 3.68/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.32 % (2924241)------------------------------
% 3.68/1.32 % (2924241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.32 % (2924241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.32 % (2924241)CaDiCaL version: 2.1.3
% 3.68/1.32 % (2924241)Termination reason: Refutation
% 3.68/1.32 % (2924241)Time elapsed: 0.002 s
% 3.68/1.32 % (2924241)Peak memory usage: 87 MB
% 3.68/1.32 % (2924241)------------------------------
% 3.68/1.32 % (2924241)------------------------------
% 3.68/1.32 % (2924166)Success in time 0.427 s
% 3.68/1.32 % Vampire exiting
%------------------------------------------------------------------------------