%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR062+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 : n015.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 09:42:29 AM UTC 2026
% Result : Theorem 7.04s 2.55s
% Output : Refutation 7.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 14 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 35 ~; 29 |; 2 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1050,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1050) ).
fof(f3103,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3103) ).
fof(f3146,axiom,
! [X0,X1] :
( tptptypes_8_390(X0,X1)
=> tptptypes_7_389(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3146) ).
fof(f3529,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3529) ).
fof(f3784,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3784) ).
fof(f4481,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4481) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query162) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8026,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithfingers)
& mtvisible(c_tptp_member3205_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8027,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8028,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8027]) ).
fof(f8029,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f3103]) ).
fof(f8033,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f1050]) ).
fof(f8037,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f3784]) ).
fof(f8041,plain,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
| ~ tptptypes_8_390(X0,X1) ),
inference(ennf_transformation,[],[f3146]) ).
fof(f8055,plain,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f8026]) ).
fof(f8056,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f8026]) ).
fof(f8057,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f8059,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f8061,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f3529]) ).
fof(f8066,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f8033]) ).
fof(f8073,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f8037]) ).
fof(f8075,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4481]) ).
fof(f8082,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f8041]) ).
fof(f8136,definition,
( spl0_6
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f8137,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_6 ),
inference(avatar_component_clause,[],[f8136]) ).
fof(f8139,definition,
( spl0_7
<=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f8140,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f8139]) ).
fof(f8142,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f8066,f8139,f8136]) ).
fof(f8145,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithfingers),
inference(resolution,[],[f8059,f8056]) ).
fof(f8146,plain,
! [X0] : ~ tptptypes_7_389(c_pushingwithfingers,X0),
inference(resolution,[],[f8073,f8145]) ).
fof(f8149,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_6 ),
inference(resolution,[],[f8057,f8137]) ).
fof(f8160,plain,
( ! [X0,X1] :
( ~ mtvisible(X1)
| ~ genlmt(X0,c_cyclistsmt)
| ~ genlmt(X1,X0) )
| spl0_6 ),
inference(resolution,[],[f8149,f8057]) ).
fof(f8164,plain,
( ! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ genlmt(c_tptp_member3205_mt,X0) )
| spl0_6 ),
inference(resolution,[],[f8160,f8055]) ).
fof(f8169,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| spl0_6 ),
inference(resolution,[],[f8164,f8061]) ).
fof(f8182,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f8169,f8075]) ).
fof(f8184,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f8182]) ).
fof(f8185,plain,
( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_7 ),
inference(resolution,[],[f8140,f8082]) ).
fof(f8190,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f8185,f8146]) ).
fof(f8191,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f8190]) ).
cnf(s6,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f8142]) ).
cnf(s8,plain,
spl0_6,
inference(sat_conversion,[],[f8184]) ).
cnf(s9,plain,
~ spl0_7,
inference(sat_conversion,[],[f8191]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s8]) ).
fof(f8192,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR062+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.29 % Computer : n015.cluster.edu
% 0.26/0.29 % Model : x86_64 x86_64
% 0.26/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.29 % Memory : 8046.5625MB
% 0.26/0.29 % OS : Linux 6.8.0-71-generic
% 0.26/0.29 % CPULimit : 300
% 0.26/0.29 % WCLimit : 300
% 0.26/0.29 % DateTime : Mon Sep 28 22:25:47 UTC 2026
% 0.26/0.30 % CPUTime :
% 0.26/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.36 Running first-order theorem proving
% 0.26/0.36 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
% 7.04/2.54 % (3101005)Detected formulas, will run a generic FOF schedule.
% 7.04/2.54 % (3101013)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3160321510:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 7.04/2.54 % (3101013)Refutation not found, incomplete strategy
% 7.04/2.54 % (3101013)------------------------------
% 7.04/2.54 % (3101013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.54 % (3101013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.54 % (3101013)CaDiCaL version: 2.1.3
% 7.04/2.54 % (3101013)Termination reason: Refutation not found, incomplete strategy
% 7.04/2.54 % (3101013)Time elapsed: 0.015 s
% 7.04/2.54 % (3101013)Peak memory usage: 93 MB
% 7.04/2.54 % (3101013)Instructions burned: 24 (million)
% 7.04/2.54 % (3101012)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=2929463673:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 7.04/2.54 % (3101011)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=4278779805:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 7.04/2.54 % (3101010)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=3513062627:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 7.04/2.54 % (3101014)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3586408829:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 7.04/2.54 % (3101015)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=90875592:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 7.04/2.54 % (3101016)dis-21_1_sil=8000:lcm=predicate:random_seed=82231851:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 7.04/2.54 % (3101016)First to succeed.
% 7.04/2.54 % (3101016)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3101005"
% 7.04/2.54 % (3101014)Instruction limit reached!
% 7.04/2.54 % (3101014)------------------------------
% 7.04/2.54 % (3101014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.54 % (3101014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.54 % (3101014)CaDiCaL version: 2.1.3
% 7.04/2.54 % (3101014)Termination reason: Instruction limit
% 7.04/2.54 % (3101014)Termination phase: Saturation
% 7.04/2.54 % (3101014)Time elapsed: 0.087 s
% 7.04/2.54 % (3101014)Peak memory usage: 93 MB
% 7.04/2.54 % (3101014)Instructions burned: 119 (million)
% 7.04/2.54 % (3101015)Instruction limit reached!
% 7.04/2.54 % (3101015)------------------------------
% 7.04/2.54 % (3101015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.54 % (3101015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.54 % (3101015)CaDiCaL version: 2.1.3
% 7.04/2.54 % (3101015)Termination reason: Instruction limit
% 7.04/2.54 % (3101015)Termination phase: Property scanning
% 7.04/2.54 % (3101015)Time elapsed: 0.135 s
% 7.04/2.54 % (3101015)Peak memory usage: 93 MB
% 7.04/2.54 % (3101015)Instructions burned: 139 (million)
% 7.04/2.54 % (3101013)------------------------------
% 7.04/2.55 % (3101013)------------------------------
% 7.04/2.55 % (3101024)lrs+10_1_sil=8000:sp=occurrence:random_seed=16655271:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 7.04/2.55 % (3101026)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3965281649:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 7.04/2.55 % (3101025)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2901537527:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 7.04/2.55 % (3101024)Also succeeded, but the first one will report.
% 7.04/2.55 % (3101026)Refutation not found, incomplete strategy
% 7.04/2.55 % (3101026)------------------------------
% 7.04/2.55 % (3101026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.55 % (3101026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.55 % (3101026)CaDiCaL version: 2.1.3
% 7.04/2.55 % (3101026)Termination reason: Refutation not found, incomplete strategy
% 7.04/2.55 % (3101026)Time elapsed: 0.014 s
% 7.04/2.55 % (3101026)Peak memory usage: 94 MB
% 7.04/2.55 % (3101026)Instructions burned: 19 (million)
% 7.04/2.55 % (3101025)Refutation not found, incomplete strategy
% 7.04/2.55 % (3101025)------------------------------
% 7.04/2.55 % (3101025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.55 % (3101025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.55 % (3101025)CaDiCaL version: 2.1.3
% 7.04/2.55 % (3101025)Termination reason: Refutation not found, incomplete strategy
% 7.04/2.55 % (3101025)Time elapsed: 0.052 s
% 7.04/2.55 % (3101025)Peak memory usage: 94 MB
% 7.04/2.55 % (3101025)Instructions burned: 57 (million)
% 7.04/2.55 % (3101016)Refutation found. Thanks to Tanya!
% 7.04/2.55 % SZS status Theorem for theBenchmark
% 7.04/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 7.04/2.55 % (3101016)------------------------------
% 7.04/2.55 % (3101016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.55 % (3101016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.55 % (3101016)CaDiCaL version: 2.1.3
% 7.04/2.55 % (3101016)Termination reason: Refutation
% 7.04/2.55 % (3101016)Time elapsed: 0.040 s
% 7.04/2.55 % (3101016)Peak memory usage: 95 MB
% 7.04/2.55 % (3101016)Instructions burned: 37 (million)
% 7.04/2.55 % (3101016)------------------------------
% 7.04/2.55 % (3101016)------------------------------
% 7.04/2.55 % (3101005)Success in time 1.062 s
% 7.04/2.55 % Vampire exiting
%------------------------------------------------------------------------------