%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR062+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 : n009.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 4.03s 1.43s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 12 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 29 |; 2 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 32 ( 0 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
! [X0,X1] :
( tptptypes_8_390(X0,X1)
=> tptptypes_7_389(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f13,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f14,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f53,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
fof(f62,conjecture,
? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query62) ).
fof(f63,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f83,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f84,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
| ~ tptptypes_8_390(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f86,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f14]) ).
fof(f109,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f110,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f119,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithfingers)
& mtvisible(c_tptp_member3205_mt) ),
inference(ennf_transformation,[],[f63]) ).
fof(f126,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f130,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f131,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f13]) ).
fof(f133,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f162,plain,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f119]) ).
fof(f163,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f119]) ).
fof(f165,definition,
( spl0_1
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f167,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl0_2
<=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f171,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f133,f169,f165]) ).
fof(f173,plain,
( ! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f153,f167]) ).
fof(f176,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_1 ),
inference(resolution,[],[f173,f131]) ).
fof(f177,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f176,f153]) ).
fof(f179,plain,
( ~ mtvisible(c_tptp_member3205_mt)
| spl0_1 ),
inference(resolution,[],[f177,f132]) ).
fof(f180,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f179,f162]) ).
fof(f181,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f182,plain,
( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_2 ),
inference(resolution,[],[f130,f171]) ).
fof(f183,plain,
( tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ spl0_2 ),
inference(resolution,[],[f182,f128]) ).
fof(f184,plain,
( tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ spl0_2 ),
inference(resolution,[],[f183,f126]) ).
fof(f185,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f184,f163]) ).
fof(f186,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f185]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f181]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f186]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f187,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n009.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 22:22:00 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.29 Running first-order theorem proving
% 0.26/0.29 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
% 4.03/1.43 % (3564396)Detected formulas, will run a generic FOF schedule.
% 4.03/1.43 % (3564406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1804987406:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.03/1.43 % (3564406)First to succeed.
% 4.03/1.43 % (3564406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3564396"
% 4.03/1.43 % (3564407)dis-21_1_sil=8000:lcm=predicate:random_seed=1246386393: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)
% 4.03/1.43 % (3564407)Also succeeded, but the first one will report.
% 4.03/1.43 % (3564404)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=202523730:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.03/1.43 % (3564405)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3695843881:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.03/1.43 % (3564403)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=3432894083:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.03/1.43 % (3564401)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=287818324:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.03/1.43 % (3564402)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=1894996344:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.03/1.43 % (3564404)Refutation not found, incomplete strategy
% 4.03/1.43 % (3564404)------------------------------
% 4.03/1.43 % (3564404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.43 % (3564404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.43 % (3564404)CaDiCaL version: 2.1.3
% 4.03/1.43 % (3564404)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.43 % (3564404)Time elapsed: 0.001 s
% 4.03/1.43 % (3564404)Peak memory usage: 87 MB
% 4.03/1.43 % (3564405)Also succeeded, but the first one will report.
% 4.03/1.43 % (3564406)Refutation found. Thanks to Tanya!
% 4.03/1.43 % SZS status Theorem for theBenchmark
% 4.03/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.43 % (3564406)------------------------------
% 4.03/1.43 % (3564406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.43 % (3564406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.43 % (3564406)CaDiCaL version: 2.1.3
% 4.03/1.43 % (3564406)Termination reason: Refutation
% 4.03/1.43 % (3564406)Time elapsed: 0.003 s
% 4.03/1.43 % (3564406)Peak memory usage: 89 MB
% 4.03/1.43 % (3564406)Instructions burned: 3 (million)
% 4.03/1.43 % (3564406)------------------------------
% 4.03/1.43 % (3564406)------------------------------
% 4.03/1.43 % (3564396)Success in time 0.458 s
% 4.03/1.43 % Vampire exiting
%------------------------------------------------------------------------------