%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR062+2 : 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 : n011.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 3.54s 1.35s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 14 unt; 2 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 39 ~; 33 |; 3 &)
% ( 2 <=>; 8 =>; 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 : 46 ( 0 sgn 44 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_34) ).
fof(f61,axiom,
! [X0,X1] :
( tptptypes_8_390(X0,X1)
=> tptptypes_7_389(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_61) ).
fof(f99,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_99) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_254) ).
fof(f302,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_302) ).
fof(f460,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_460) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1128,axiom,
! [X0,X1,X2] :
( ( genlmt(X0,X1)
& genlmt(X1,X2) )
=> genlmt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1128) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query112) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1158,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithfingers)
& mtvisible(c_tptp_member3205_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1159,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1160,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1159]) ).
fof(f1161,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f1164,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f460]) ).
fof(f1165,plain,
! [X0,X1,X2] :
( genlmt(X0,X2)
| ~ genlmt(X0,X1)
| ~ genlmt(X1,X2) ),
inference(ennf_transformation,[],[f1128]) ).
fof(f1166,plain,
! [X0,X1,X2] :
( genlmt(X0,X2)
| ~ genlmt(X0,X1)
| ~ genlmt(X1,X2) ),
inference(flattening,[],[f1165]) ).
fof(f1167,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f302]) ).
fof(f1173,plain,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
| ~ tptptypes_8_390(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f1192,plain,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f1158]) ).
fof(f1193,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f1158]) ).
fof(f1194,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1160]) ).
fof(f1195,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f34]) ).
fof(f1196,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f1161]) ).
fof(f1199,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1200,plain,
! [X2,X0,X1] :
( genlmt(X0,X2)
| ~ genlmt(X0,X1)
| ~ genlmt(X1,X2) ),
inference(cnf_transformation,[],[f1166]) ).
fof(f1201,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f1202,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f1167]) ).
fof(f1209,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f1173]) ).
fof(f1249,definition,
( spl0_7
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1250,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_7 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1260,definition,
( spl0_10
<=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1261,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1262,plain,
( ~ spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f1199,f1260,f1249]) ).
fof(f1268,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithfingers),
inference(resolution,[],[f1196,f1193]) ).
fof(f1269,plain,
! [X0] : ~ tptptypes_7_389(c_pushingwithfingers,X0),
inference(resolution,[],[f1268,f1202]) ).
fof(f1271,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_7 ),
inference(resolution,[],[f1194,f1250]) ).
fof(f1276,plain,
( ~ genlmt(c_tptp_member3205_mt,c_cyclistsmt)
| spl0_7 ),
inference(resolution,[],[f1271,f1192]) ).
fof(f1281,plain,
( ! [X0] :
( ~ genlmt(c_tptp_member3205_mt,X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_7 ),
inference(resolution,[],[f1276,f1200]) ).
fof(f1298,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| spl0_7 ),
inference(resolution,[],[f1281,f1195]) ).
fof(f1304,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f1298,f1201]) ).
fof(f1306,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1307,plain,
( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_10 ),
inference(resolution,[],[f1261,f1209]) ).
fof(f1310,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f1307,f1269]) ).
fof(f1311,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1310]) ).
cnf(s6,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s8,plain,
spl0_7,
inference(sat_conversion,[],[f1306]) ).
cnf(s9,plain,
~ spl0_10,
inference(sat_conversion,[],[f1311]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s8]) ).
fof(f1312,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n011.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 22:22:01 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.54/1.35 % (3849982)Detected formulas, will run a generic FOF schedule.
% 3.54/1.35 % (3850006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1593631369:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.35 % (3850006)Refutation not found, incomplete strategy
% 3.54/1.35 % (3850006)------------------------------
% 3.54/1.35 % (3850006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.35 % (3850006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.35 % (3850006)CaDiCaL version: 2.1.3
% 3.54/1.35 % (3850006)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.35 % (3850006)Time elapsed: 0.001 s
% 3.54/1.35 % (3850006)Peak memory usage: 88 MB
% 3.54/1.35 % (3850006)Instructions burned: 3 (million)
% 3.54/1.35 % (3850007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=164284623:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.35 % (3850005)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=1831117249:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.35 % (3850009)dis-21_1_sil=8000:lcm=predicate:random_seed=2455926969: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)
% 3.54/1.35 % (3850003)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=291644040:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.35 % (3850004)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=686839275:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.35 % (3850009)First to succeed.
% 3.54/1.35 % (3850009)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3849982"
% 3.54/1.35 % (3850008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4035539865:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.35 % (3850008)Also succeeded, but the first one will report.
% 3.54/1.35 % (3850007)Instruction limit reached!
% 3.54/1.35 % (3850007)------------------------------
% 3.54/1.35 % (3850007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.35 % (3850007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.35 % (3850007)CaDiCaL version: 2.1.3
% 3.54/1.35 % (3850007)Termination reason: Instruction limit
% 3.54/1.35 % (3850007)Termination phase: Saturation
% 3.54/1.35 % (3850007)Time elapsed: 0.047 s
% 3.54/1.35 % (3850007)Peak memory usage: 88 MB
% 3.54/1.35 % (3850007)Instructions burned: 119 (million)
% 3.54/1.35 % (3850006)------------------------------
% 3.54/1.35 % (3850006)------------------------------
% 3.54/1.35 % (3850017)lrs+10_1_sil=8000:sp=occurrence:random_seed=2972917020:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.54/1.35 % (3850019)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3153142036:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.54/1.35 % (3850017)Also succeeded, but the first one will report.
% 3.54/1.35 % (3850019)Refutation not found, incomplete strategy
% 3.54/1.35 % (3850019)------------------------------
% 3.54/1.35 % (3850019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.35 % (3850019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.35 % (3850019)CaDiCaL version: 2.1.3
% 3.54/1.35 % (3850019)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.35 % (3850019)Time elapsed: 0.002 s
% 3.54/1.35 % (3850019)Peak memory usage: 89 MB
% 3.54/1.35 % (3850019)Instructions burned: 7 (million)
% 3.54/1.35 % (3850009)Refutation found. Thanks to Tanya!
% 3.54/1.35 % SZS status Theorem for theBenchmark
% 3.54/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.35 % (3850009)------------------------------
% 3.54/1.35 % (3850009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.35 % (3850009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.35 % (3850009)CaDiCaL version: 2.1.3
% 3.54/1.35 % (3850009)Termination reason: Refutation
% 3.54/1.35 % (3850009)Time elapsed: 0.006 s
% 3.54/1.35 % (3850009)Peak memory usage: 90 MB
% 3.54/1.35 % (3850009)Instructions burned: 7 (million)
% 3.54/1.35 % (3850009)------------------------------
% 3.54/1.35 % (3850009)------------------------------
% 3.54/1.35 % (3849982)Success in time 0.423 s
% 3.54/1.35 % Vampire exiting
%------------------------------------------------------------------------------