%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR027+3 : 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 : n017.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 09:42:01 AM UTC 2026
% Result : Theorem 4.20s 1.53s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 80 ( 37 ~; 30 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 39 ( 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1584,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1584) ).
fof(f1688,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1688) ).
fof(f1689,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1689) ).
fof(f2362,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2362) ).
fof(f4341,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4341) ).
fof(f7347,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_31868)
=> tptpcol_16_31868(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7347) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
& tptpcol_16_31868(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query127) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
& tptpcol_16_31868(X0) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8026,plain,
! [X0] :
( ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) )
& mtvisible(c_tptp_spindlecollectormt) ),
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(f8031,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f7347]) ).
fof(f8036,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(ennf_transformation,[],[f1689]) ).
fof(f8037,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(ennf_transformation,[],[f1688]) ).
fof(f8038,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(flattening,[],[f8037]) ).
fof(f8055,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f4341]) ).
fof(f8056,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f8055]) ).
fof(f8067,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f8026]) ).
fof(f8068,plain,
! [X0] :
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f8026]) ).
fof(f8069,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f8072,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f1584]) ).
fof(f8076,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f8031]) ).
fof(f8081,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[],[f8036]) ).
fof(f8082,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(cnf_transformation,[],[f8038]) ).
fof(f8098,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(cnf_transformation,[],[f8056]) ).
fof(f8100,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f2362]) ).
fof(f8111,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2610_mt) ),
inference(resolution,[],[f8069,f8100]) ).
fof(f8112,plain,
mtvisible(c_tptp_member2610_mt),
inference(forward_subsumption_resolution,[],[f8111,f8067]) ).
fof(f8117,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(forward_subsumption_resolution,[],[f8081,f8112]) ).
fof(f8130,plain,
! [X2,X0,X1] :
( tptpcol_16_31868(f_relationallexistsfn(X0,X2,X1,c_tptpcol_16_31868))
| ~ relationallexists(X2,X1,c_tptpcol_16_31868)
| ~ isa(X0,X1) ),
inference(resolution,[],[f8098,f8076]) ).
fof(f8140,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(forward_subsumption_resolution,[],[f8082,f8112]) ).
fof(f8141,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(resolution,[],[f8140,f8068]) ).
fof(f8143,plain,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(forward_subsumption_resolution,[],[f8141,f8072]) ).
fof(f8149,plain,
( ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(resolution,[],[f8130,f8143]) ).
fof(f8150,plain,
~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(forward_subsumption_resolution,[],[f8149,f8117]) ).
fof(f8151,plain,
$false,
inference(forward_subsumption_resolution,[],[f8150,f8072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:03:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 4.20/1.53 % (4090193)Detected formulas, will run a generic FOF schedule.
% 4.20/1.53 % (4090330)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=2672590755:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.20/1.53 % (4090328)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=2274376709:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.20/1.53 % (4090332)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=373805188:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.20/1.53 % (4090334)dis-21_1_sil=8000:lcm=predicate:random_seed=3911337665:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.20/1.53 % (4090329)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=2343579223:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.20/1.53 % (4090331)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1359446111:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.20/1.53 % (4090331)Refutation not found, incomplete strategy
% 4.20/1.53 % (4090331)------------------------------
% 4.20/1.53 % (4090331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.53 % (4090331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.53 % (4090331)CaDiCaL version: 2.1.3
% 4.20/1.53 % (4090331)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.53 % (4090331)Time elapsed: 0.025 s
% 4.20/1.53 % (4090331)Peak memory usage: 93 MB
% 4.20/1.53 % (4090331)Instructions burned: 24 (million)
% 4.20/1.53 % (4090332)First to succeed.
% 4.20/1.53 % (4090332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4090193"
% 4.20/1.53 % (4090333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1838845085:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.20/1.53 % (4090334)Instruction limit reached!
% 4.20/1.53 % (4090334)------------------------------
% 4.20/1.53 % (4090334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.53 % (4090334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.53 % (4090334)CaDiCaL version: 2.1.3
% 4.20/1.53 % (4090334)Termination reason: Instruction limit
% 4.20/1.53 % (4090334)Termination phase: Saturation
% 4.20/1.53 % (4090334)Time elapsed: 0.106 s
% 4.20/1.53 % (4090334)Peak memory usage: 94 MB
% 4.20/1.53 % (4090334)Instructions burned: 130 (million)
% 4.20/1.53 % (4090333)Instruction limit reached!
% 4.20/1.53 % (4090333)------------------------------
% 4.20/1.53 % (4090333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.53 % (4090333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.53 % (4090333)CaDiCaL version: 2.1.3
% 4.20/1.53 % (4090333)Termination reason: Instruction limit
% 4.20/1.53 % (4090333)Termination phase: Property scanning
% 4.20/1.53 % (4090333)Time elapsed: 0.137 s
% 4.20/1.53 % (4090333)Peak memory usage: 93 MB
% 4.20/1.53 % (4090333)Instructions burned: 139 (million)
% 4.20/1.53 % (4090366)lrs+10_1_sil=8000:sp=occurrence:random_seed=3044479017:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 4.20/1.53 % (4090331)------------------------------
% 4.20/1.53 % (4090331)------------------------------
% 4.20/1.53 % (4090366)Also succeeded, but the first one will report.
% 4.20/1.53 % (4090332)Refutation found. Thanks to Tanya!
% 4.20/1.53 % SZS status Theorem for theBenchmark
% 4.20/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.75 % (4090332)------------------------------
% 5.72/1.75 % (4090332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.75 % (4090332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.75 % (4090332)CaDiCaL version: 2.1.3
% 5.72/1.75 % (4090332)Termination reason: Refutation
% 5.72/1.75 % (4090332)Time elapsed: 0.032 s
% 5.72/1.75 % (4090332)Peak memory usage: 94 MB
% 5.72/1.75 % (4090332)Instructions burned: 28 (million)
% 5.72/1.75 % (4090332)------------------------------
% 5.72/1.75 % (4090332)------------------------------
% 5.72/1.75 % (4090193)Success in time 0.855 s
% 5.72/1.75 % Vampire exiting
%------------------------------------------------------------------------------