%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR056+2 : 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 : n003.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 09:42:24 AM UTC 2026
% Result : Theorem 6.31s 2.18s
% Output : Refutation 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 14 unt; 4 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 58 ~; 53 |; 3 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_40) ).
fof(f202,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& supplies(X0) )
=> tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_202) ).
fof(f238,axiom,
! [X0] :
( artsupplies(X0)
=> supplies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_238) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).
fof(f279,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_279) ).
fof(f1005,axiom,
! [X0] :
( isa(X0,c_artsupplies)
=> artsupplies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1005) ).
fof(f1006,axiom,
! [X0] :
( artsupplies(X0)
=> isa(X0,c_artsupplies) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1006) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query106) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1206,plain,
! [X0] :
( ~ tptpofobject(c_tptpartsupplies,X0)
& mtvisible(c_tptp_member3717_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1207,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1208,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1207]) ).
fof(f1209,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f40]) ).
fof(f1215,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(ennf_transformation,[],[f202]) ).
fof(f1216,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(flattening,[],[f1215]) ).
fof(f1226,plain,
! [X0] :
( isa(X0,c_artsupplies)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f1006]) ).
fof(f1227,plain,
! [X0] :
( artsupplies(X0)
| ~ isa(X0,c_artsupplies) ),
inference(ennf_transformation,[],[f1005]) ).
fof(f1228,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f238]) ).
fof(f1280,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[],[f1206]) ).
fof(f1281,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[],[f1206]) ).
fof(f1282,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1208]) ).
fof(f1283,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f1287,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(cnf_transformation,[],[f1216]) ).
fof(f1290,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f279]) ).
fof(f1293,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f1298,plain,
! [X0] :
( ~ artsupplies(X0)
| isa(X0,c_artsupplies) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f1299,plain,
! [X0] :
( artsupplies(X0)
| ~ isa(X0,c_artsupplies) ),
inference(cnf_transformation,[],[f1227]) ).
fof(f1300,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(cnf_transformation,[],[f1228]) ).
fof(f1396,definition,
( spl0_9
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1397,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_9 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1415,definition,
( spl0_14
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1416,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_14 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1429,definition,
( spl0_18
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ supplies(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f1430,plain,
( ! [X0] :
( ~ supplies(X0)
| tptpofobject(X0,f_tptpquantityfn_14(n_232)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1431,plain,
( ~ spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f1287,f1429,f1415]) ).
fof(f1447,definition,
( spl0_23
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1448,plain,
( artsupplies(c_tptpartsupplies)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1449,plain,
( ~ spl0_9
| spl0_23 ),
inference(avatar_split_clause,[],[f1283,f1447,f1396]) ).
fof(f1478,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_9 ),
inference(resolution,[],[f1282,f1397]) ).
fof(f1479,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_spindleheadmt) )
| spl0_14 ),
inference(resolution,[],[f1282,f1416]) ).
fof(f1489,plain,
( ! [X0,X1] :
( ~ mtvisible(X1)
| ~ genlmt(X0,c_cyclistsmt)
| ~ genlmt(X1,X0) )
| spl0_9 ),
inference(resolution,[],[f1478,f1282]) ).
fof(f1490,plain,
( ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
| spl0_14 ),
inference(resolution,[],[f1479,f1280]) ).
fof(f1492,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f1490,f1290]) ).
fof(f1493,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1498,plain,
( ! [X0] :
( ~ artsupplies(X0)
| tptpofobject(X0,f_tptpquantityfn_14(n_232)) )
| ~ spl0_18 ),
inference(resolution,[],[f1430,f1300]) ).
fof(f1511,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ isa(X0,c_artsupplies) )
| ~ spl0_18 ),
inference(resolution,[],[f1498,f1299]) ).
fof(f1514,plain,
( ~ isa(c_tptpartsupplies,c_artsupplies)
| ~ spl0_18 ),
inference(resolution,[],[f1511,f1281]) ).
fof(f1518,plain,
( ! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ genlmt(c_tptp_member3717_mt,X0) )
| spl0_9 ),
inference(resolution,[],[f1489,f1280]) ).
fof(f1522,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| spl0_9 ),
inference(resolution,[],[f1518,f1290]) ).
fof(f1525,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f1522,f1293]) ).
fof(f1526,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1533,plain,
( isa(c_tptpartsupplies,c_artsupplies)
| ~ spl0_23 ),
inference(resolution,[],[f1448,f1298]) ).
fof(f1536,plain,
( $false
| ~ spl0_18
| ~ spl0_23 ),
inference(resolution,[],[f1533,f1514]) ).
fof(f1537,plain,
( ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
cnf(s11,plain,
( ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s14,plain,
( ~ spl0_9
| spl0_23 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s15,plain,
spl0_14,
inference(sat_conversion,[],[f1493]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f1526]) ).
cnf(s17,plain,
( ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s18,plain,
spl0_23,
inference(rat,[],[s14,s16]) ).
cnf(s19,plain,
~ spl0_18,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s11,s19,s15]) ).
fof(f1538,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.30 % Computer : n003.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8046.5625MB
% 0.11/0.30 % OS : Linux 6.8.0-71-generic
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Sep 28 22:22:28 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.31/0.35 Running first-order theorem proving
% 0.31/0.35 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
% 6.31/2.18 % (2097600)Detected formulas, will run a generic FOF schedule.
% 6.31/2.18 % (2097607)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=3306779940:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.31/2.18 % (2097606)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=46321506:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.31/2.18 % (2097605)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=3946503786:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.31/2.18 % (2097608)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=494754351:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.31/2.18 % (2097609)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=52858426:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.31/2.18 % (2097611)dis-21_1_sil=8000:lcm=predicate:random_seed=866083097: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)
% 6.31/2.18 % (2097610)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=912353776:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.31/2.18 % (2097608)Refutation not found, incomplete strategy
% 6.31/2.18 % (2097608)------------------------------
% 6.31/2.18 % (2097608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.18 % (2097608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.18 % (2097608)CaDiCaL version: 2.1.3
% 6.31/2.18 % (2097608)Termination reason: Refutation not found, incomplete strategy
% 6.31/2.18 % (2097608)Time elapsed: 0.004 s
% 6.31/2.18 % (2097608)Peak memory usage: 88 MB
% 6.31/2.18 % (2097608)Instructions burned: 3 (million)
% 6.31/2.18 % (2097611)First to succeed.
% 6.31/2.18 % (2097611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2097600"
% 6.31/2.18 % (2097610)Also succeeded, but the first one will report.
% 6.31/2.18 % (2097609)Instruction limit reached!
% 6.31/2.18 % (2097609)------------------------------
% 6.31/2.18 % (2097609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.18 % (2097609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.18 % (2097609)CaDiCaL version: 2.1.3
% 6.31/2.18 % (2097609)Termination reason: Instruction limit
% 6.31/2.18 % (2097609)Termination phase: Saturation
% 6.31/2.18 % (2097609)Time elapsed: 0.074 s
% 6.31/2.18 % (2097609)Peak memory usage: 88 MB
% 6.31/2.18 % (2097609)Instructions burned: 121 (million)
% 6.31/2.18 % (2097608)------------------------------
% 6.31/2.18 % (2097608)------------------------------
% 6.31/2.18 % (2097619)lrs+10_1_sil=8000:sp=occurrence:random_seed=2163730785:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.31/2.18 % (2097619)Also succeeded, but the first one will report.
% 6.31/2.18 % (2097611)Refutation found. Thanks to Tanya!
% 6.31/2.18 % SZS status Theorem for theBenchmark
% 6.31/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 6.31/2.19 % (2097611)------------------------------
% 6.31/2.19 % (2097611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.19 % (2097611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.19 % (2097611)CaDiCaL version: 2.1.3
% 6.31/2.19 % (2097611)Termination reason: Refutation
% 6.31/2.19 % (2097611)Time elapsed: 0.013 s
% 6.31/2.19 % (2097611)Peak memory usage: 90 MB
% 6.31/2.19 % (2097611)Instructions burned: 10 (million)
% 6.31/2.19 % (2097611)------------------------------
% 6.31/2.19 % (2097611)------------------------------
% 6.31/2.19 % (2097600)Success in time 0.761 s
% 6.31/2.19 % Vampire exiting
%------------------------------------------------------------------------------