%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR027+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 : n002.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 3.65s 1.26s
% Output : Refutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 11 unt; 3 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 128 ( 60 ~; 52 |; 6 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 43 ( 0 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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',just1) ).
fof(f9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f12,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',just12) ).
fof(f13,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',just13) ).
fof(f14,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(f34,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_31868)
=> tptpcol_16_31868(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f63,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(f80,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',query27) ).
fof(f81,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)],[f80]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f114]) ).
fof(f116,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,[],[f12]) ).
fof(f117,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,[],[f116]) ).
fof(f118,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,[],[f13]) ).
fof(f135,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f34]) ).
fof(f146,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f147,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f146]) ).
fof(f156,plain,
! [X0] :
( ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f81]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f164,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f9]) ).
fof(f167,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,[],[f117]) ).
fof(f168,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,[],[f118]) ).
fof(f169,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f14]) ).
fof(f183,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f195,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f204,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f156]) ).
fof(f205,plain,
! [X0] :
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f207,definition,
( spl0_1
<=> mtvisible(c_tptp_member2610_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f209,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f211,definition,
( spl0_2
<=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f213,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f168,f211,f207]) ).
fof(f216,definition,
( spl0_3
<=> ! [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)) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f217,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)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f167,f216,f207]) ).
fof(f219,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_member2610_mt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f195,f209]) ).
fof(f221,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_1 ),
inference(resolution,[],[f219,f164]) ).
fof(f222,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f221,f204]) ).
fof(f223,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ relationallexists(X2,X1,c_tptpcol_16_31868)
| ~ isa(X0,X1)
| tptpcol_16_31868(f_relationallexistsfn(X0,X2,X1,c_tptpcol_16_31868)) ),
inference(resolution,[],[f157,f183]) ).
fof(f225,plain,
( ! [X0] :
( tptpcol_16_31868(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)) )
| ~ spl0_2 ),
inference(resolution,[],[f224,f213]) ).
fof(f227,plain,
( ! [X0] :
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,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)) )
| ~ spl0_2 ),
inference(resolution,[],[f225,f205]) ).
fof(f228,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f227,f217]) ).
fof(f229,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f230,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f229,f169]) ).
fof(f231,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f230]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f214]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f218]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f223]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f231]) ).
cnf(s5,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
~ spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s3]) ).
fof(f232,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n002.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Mon Sep 28 22:10:07 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.34 Running first-order theorem proving
% 0.30/0.34 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
% 3.65/1.26 % (833041)Detected formulas, will run a generic FOF schedule.
% 3.65/1.26 % (833051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3369437930:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.26 % (833051)First to succeed.
% 3.65/1.26 % (833051)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-833041"
% 3.65/1.26 % (833050)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3278528198:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.26 % (833048)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=380708353:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.26 % (833049)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=635382541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.26 % (833047)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=2717405412:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.26 % (833052)dis-21_1_sil=8000:lcm=predicate:random_seed=2637447832: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)
% 3.65/1.26 % (833046)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=741634748:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.26 % (833049)Refutation not found, incomplete strategy
% 3.65/1.26 % (833049)------------------------------
% 3.65/1.26 % (833049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (833049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (833049)CaDiCaL version: 2.1.3
% 3.65/1.26 % (833049)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.26 % (833049)Time elapsed: 0.001 s
% 3.65/1.26 % (833049)Peak memory usage: 87 MB
% 3.65/1.26 % (833052)Also succeeded, but the first one will report.
% 3.65/1.26 % (833050)Instruction limit reached!
% 3.65/1.26 % (833050)------------------------------
% 3.65/1.26 % (833050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (833050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (833050)CaDiCaL version: 2.1.3
% 3.65/1.26 % (833050)Termination reason: Instruction limit
% 3.65/1.26 % (833050)Termination phase: Saturation
% 3.65/1.26 % (833050)Time elapsed: 0.077 s
% 3.65/1.26 % (833050)Peak memory usage: 87 MB
% 3.65/1.26 % (833050)Instructions burned: 119 (million)
% 3.65/1.26 % (833051)Refutation found. Thanks to Tanya!
% 3.65/1.26 % SZS status Theorem for theBenchmark
% 3.65/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.45 % (833051)------------------------------
% 4.34/1.45 % (833051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.45 % (833051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.45 % (833051)CaDiCaL version: 2.1.3
% 4.34/1.45 % (833051)Termination reason: Refutation
% 4.34/1.45 % (833051)Time elapsed: 0.004 s
% 4.34/1.45 % (833051)Peak memory usage: 90 MB
% 4.34/1.45 % (833051)Instructions burned: 4 (million)
% 4.34/1.45 % (833051)------------------------------
% 4.34/1.45 % (833051)------------------------------
% 4.34/1.45 % (833041)Success in time 0.522 s
% 4.34/1.45 % Vampire exiting
%------------------------------------------------------------------------------