%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR070+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 : n018.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 09:42:35 AM UTC 2026
% Result : Theorem 5.14s 1.66s
% Output : Refutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 28 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f10,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f12,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f14,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(f16,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).
fof(f19,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
fof(f57,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
fof(f80,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query70) ).
fof(f81,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f110,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f111,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f114,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(ennf_transformation,[],[f19]) ).
fof(f131,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f132,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f131]) ).
fof(f151,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f81]) ).
fof(f159,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f161,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f163,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f165,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f167,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f16]) ).
fof(f170,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[],[f114]) ).
fof(f185,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f203,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f151]) ).
fof(f204,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f151]) ).
fof(f206,definition,
( spl0_1
<=> mtvisible(c_tptp_member2668_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_2
<=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f210,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f170,f209,f206]) ).
fof(f222,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[],[f159,f204]) ).
fof(f223,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_member2668_mt) )
| spl0_1 ),
inference(resolution,[],[f185,f207]) ).
fof(f227,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
| spl0_1 ),
inference(resolution,[],[f223,f203]) ).
fof(f228,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f227,f167]) ).
fof(f229,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f230,plain,
( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_2 ),
inference(resolution,[],[f210,f165]) ).
fof(f231,plain,
( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_2 ),
inference(resolution,[],[f230,f163]) ).
fof(f232,plain,
( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_2 ),
inference(resolution,[],[f231,f161]) ).
fof(f233,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f232,f222]) ).
fof(f234,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f233]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f211]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f229]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f234]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n018.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 22:26:55 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running first-order theorem proving
% 0.26/0.30 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
% 5.14/1.66 % (3865445)Detected formulas, will run a generic FOF schedule.
% 5.14/1.66 % (3865453)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=2219022028:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.14/1.66 % (3865459)dis-21_1_sil=8000:lcm=predicate:random_seed=360990391: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)
% 5.14/1.66 % (3865459)First to succeed.
% 5.14/1.66 % (3865459)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3865445"
% 5.14/1.66 % (3865454)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=1035632878:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.14/1.66 % (3865457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=831454279:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.14/1.66 % (3865455)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=318477528:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.14/1.66 % (3865456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2380279520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.14/1.66 % (3865458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2908843380:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.14/1.66 % (3865456)Refutation not found, incomplete strategy
% 5.14/1.66 % (3865456)------------------------------
% 5.14/1.66 % (3865456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.66 % (3865456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.66 % (3865456)CaDiCaL version: 2.1.3
% 5.14/1.66 % (3865456)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.66 % (3865456)Time elapsed: 0.001 s
% 5.14/1.66 % (3865456)Peak memory usage: 86 MB
% 5.14/1.66 % (3865458)Also succeeded, but the first one will report.
% 5.14/1.66 % (3865457)Instruction limit reached!
% 5.14/1.66 % (3865457)------------------------------
% 5.14/1.66 % (3865457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.66 % (3865457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.66 % (3865457)CaDiCaL version: 2.1.3
% 5.14/1.66 % (3865457)Termination reason: Instruction limit
% 5.14/1.66 % (3865457)Termination phase: Saturation
% 5.14/1.66 % (3865457)Time elapsed: 0.072 s
% 5.14/1.66 % (3865457)Peak memory usage: 87 MB
% 5.14/1.66 % (3865457)Instructions burned: 119 (million)
% 5.14/1.66 % (3865459)Refutation found. Thanks to Tanya!
% 5.14/1.66 % SZS status Theorem for theBenchmark
% 5.14/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.14/1.66 % (3865459)------------------------------
% 5.14/1.66 % (3865459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.66 % (3865459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.66 % (3865459)CaDiCaL version: 2.1.3
% 5.14/1.66 % (3865459)Termination reason: Refutation
% 5.14/1.66 % (3865459)Time elapsed: 0.007 s
% 5.14/1.66 % (3865459)Peak memory usage: 89 MB
% 5.14/1.66 % (3865459)Instructions burned: 3 (million)
% 5.14/1.66 % (3865459)------------------------------
% 5.14/1.66 % (3865459)------------------------------
% 5.14/1.66 % (3865445)Success in time 0.607 s
% 5.14/1.66 % Vampire exiting
%------------------------------------------------------------------------------