%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR027+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:44:23 AM UTC 2026
% Result : Theorem 0.98s 0.57s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 11 unt; 3 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 118 ( 55 ~; 47 |; 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 : 40 ( 0 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_20) ).
fof(f158,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/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_158) ).
fof(f159,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/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_159) ).
fof(f297,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_297) ).
fof(f316,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_316) ).
fof(f791,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_31868)
=> tptpcol_16_31868(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_791) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
& tptpcol_16_31868(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query77) ).
fof(f1133,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)],[f1132]) ).
fof(f1300,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,[],[f158]) ).
fof(f1301,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,[],[f1300]) ).
fof(f1302,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,[],[f159]) ).
fof(f1367,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f297]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f1367]) ).
fof(f1713,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f791]) ).
fof(f2012,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,plain,
! [X0] :
( ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2042,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f20]) ).
fof(f2179,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt)
| 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)) ),
inference(cnf_transformation,[],[f1301]) ).
fof(f2180,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(cnf_transformation,[],[f1302]) ).
fof(f2318,plain,
! [X2,X3,X0,X1] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2336,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f316]) ).
fof(f2763,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
! [X0] :
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3291,definition,
( spl0_50
<=> 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_50])],[avatar_definition]) ).
fof(f3293,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f3291]) ).
fof(f3295,definition,
( spl0_51
<=> mtvisible(c_tptp_member2610_mt) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f3297,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| spl0_51 ),
inference(avatar_component_clause,[],[f3295]) ).
fof(f3298,plain,
( spl0_50
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2180,f3295,f3291]) ).
fof(f3300,definition,
( spl0_52
<=> ! [X0] :
( ~ 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)) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f3301,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_52 ),
inference(avatar_component_clause,[],[f3300]) ).
fof(f3302,plain,
( ~ spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f2179,f3300,f3295]) ).
fof(f3688,plain,
! [X0] :
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(resolution,[],[f2763,f3062]) ).
fof(f4143,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindlecollectormt,X0) ),
inference(resolution,[],[f3053,f3063]) ).
fof(f4171,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
| spl0_51 ),
inference(resolution,[],[f4143,f3297]) ).
fof(f4202,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f4171,f2042]) ).
fof(f4203,plain,
spl0_51,
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f5590,plain,
( ! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) )
| ~ spl0_50 ),
inference(resolution,[],[f2318,f3293]) ).
fof(f5595,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ isa(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),c_tptpcol_16_31868)
| ~ spl0_52 ),
inference(resolution,[],[f3301,f3688]) ).
fof(f5597,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f5595,f5590]) ).
fof(f5598,plain,
( $false
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f5597,f2336]) ).
fof(f5599,plain,
( ~ spl0_50
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f5598]) ).
cnf(s36,plain,
( spl0_50
| ~ spl0_51 ),
inference(sat_conversion,[],[f3298]) ).
cnf(s37,plain,
( ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f3302]) ).
cnf(s59,plain,
spl0_51,
inference(sat_conversion,[],[f4203]) ).
cnf(s169,plain,
( ~ spl0_50
| ~ spl0_52 ),
inference(sat_conversion,[],[f5599]) ).
cnf(s178,plain,
spl0_52,
inference(rat,[],[s37,s59]) ).
cnf(s179,plain,
~ spl0_50,
inference(rat,[],[s169,s178]) ).
cnf(s180,plain,
$false,
inference(rat,[],[s36,s59,s179]) ).
fof(f5600,plain,
$false,
inference(avatar_sat_refutation,[],[s180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR027+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 % Computer : n002.cluster.edu
% 0.25/0.31 % Model : x86_64 x86_64
% 0.25/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.31 % Memory : 8046.5625MB
% 0.25/0.31 % OS : Linux 6.8.0-71-generic
% 0.25/0.31 % CPULimit : 300
% 0.25/0.31 % WCLimit : 300
% 0.25/0.31 % DateTime : Mon Sep 28 22:10:22 UTC 2026
% 0.25/0.31 % CPUTime :
% 0.25/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.37 Running first-order model finding
% 0.25/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.98/0.57 % (833895)Will run a generic schedule for satisfiability detection.
% 0.98/0.57 % (833905)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1471124280:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.98/0.57 % (833901)% WARNING: option uhcvi not known.
% 0.98/0.57 % (833904)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=365692824:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.98/0.57 % (833900)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2600926269_2999 on theBenchmark for (2999ds/0Mi)
% 0.98/0.57 % (833903)dis+10_1_sil=32000:sp=arity:random_seed=572834755:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.98/0.57 % (833901)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2596622246:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.98/0.57 % (833906)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3386230954:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.98/0.57 % (833902)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=294675594:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.98/0.57 % TRYING [1]
% 0.98/0.57 % TRYING [2]
% 0.98/0.57 % (833905)Instruction limit reached!
% 0.98/0.57 % (833905)------------------------------
% 0.98/0.57 % (833905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (833905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (833905)CaDiCaL version: 2.1.3
% 0.98/0.57 % (833905)Termination reason: Instruction limit
% 0.98/0.57 % (833905)Termination phase: Saturation
% 0.98/0.57 % (833905)Time elapsed: 0.070 s
% 0.98/0.57 % (833905)Peak memory usage: 16 MB
% 0.98/0.57 % (833905)Instructions burned: 131 (million)
% 0.98/0.57 % TRYING [3]
% 0.98/0.57 % (833904) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-833895-833904"...
% 0.98/0.57 % (833903)Instruction limit reached!
% 0.98/0.57 % (833903)------------------------------
% 0.98/0.57 % (833903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (833903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (833903)CaDiCaL version: 2.1.3
% 0.98/0.57 % (833903)Termination reason: Instruction limit
% 0.98/0.57 % (833903)Termination phase: Saturation
% 0.98/0.57 % (833903)Time elapsed: 0.096 s
% 0.98/0.57 % (833903)Peak memory usage: 15 MB
% 0.98/0.57 % (833903)Instructions burned: 103 (million)
% 0.98/0.57 % TRYING [4]
% 0.98/0.57 % (833904)...printing done.
% 0.98/0.57 % (833904)Refutation found. Thanks to Tanya!
% 0.98/0.57 % SZS status Theorem for theBenchmark
% 0.98/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.57 % (833904)------------------------------
% 0.98/0.57 % (833904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.57 % (833904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.57 % (833904)CaDiCaL version: 2.1.3
% 0.98/0.57 % (833904)Termination reason: Refutation
% 0.98/0.57 % (833904)Time elapsed: 0.098 s
% 0.98/0.57 % (833904)Peak memory usage: 16 MB
% 0.98/0.57 % (833904)Instructions burned: 102 (million)
% 0.98/0.57 % (833895)Success in time 0.185 s
% 0.98/0.57 % Vampire exiting
%------------------------------------------------------------------------------