%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR070+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 : n013.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 09:44:54 AM UTC 2026
% Result : Theorem 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 14 unt; 2 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 39 ~; 35 |; 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 : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_139) ).
fof(f178,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_178) ).
fof(f271,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_271) ).
fof(f350,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_350) ).
fof(f416,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_416) ).
fof(f427,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_427) ).
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,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query120) ).
fof(f1133,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)],[f1132]) ).
fof(f1291,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f139]) ).
fof(f1313,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(ennf_transformation,[],[f178]) ).
fof(f1354,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f271]) ).
fof(f1421,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f416]) ).
fof(f1426,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(ennf_transformation,[],[f427]) ).
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,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2160,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f1291]) ).
fof(f2199,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(cnf_transformation,[],[f1313]) ).
fof(f2292,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f1354]) ).
fof(f2370,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f350]) ).
fof(f2436,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| tptptypes_5_802(X0,X1) ),
inference(cnf_transformation,[],[f1421]) ).
fof(f2447,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f1426]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f2022]) ).
fof(f3144,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2160]) ).
fof(f3168,plain,
( mtvisible(c_tptp_member2668_mt)
| ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(consistent_polarity_flipping,[],[f2199]) ).
fof(f3216,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2292]) ).
fof(f3266,plain,
~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(consistent_polarity_flipping,[],[f2370]) ).
fof(f3300,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| ~ tptptypes_5_802(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2436]) ).
fof(f3306,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| tptptypes_9_824(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2447]) ).
fof(f3825,plain,
! [X0,X1] :
( ~ mtvisible(X1)
| mtvisible(X0)
| genlmt(X0,X1) ),
inference(consistent_polarity_flipping,[],[f3053]) ).
fof(f3834,plain,
tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(consistent_polarity_flipping,[],[f3063]) ).
fof(f3835,plain,
~ mtvisible(c_tptp_spindlecollectormt),
inference(consistent_polarity_flipping,[],[f3062]) ).
fof(f4044,definition,
( spl0_46
<=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f4046,plain,
( ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| spl0_46 ),
inference(avatar_component_clause,[],[f4044]) ).
fof(f4048,definition,
( spl0_47
<=> mtvisible(c_tptp_member2668_mt) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f4050,plain,
( mtvisible(c_tptp_member2668_mt)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f4048]) ).
fof(f4051,plain,
( ~ spl0_46
| spl0_47 ),
inference(avatar_split_clause,[],[f3168,f4048,f4044]) ).
fof(f5183,plain,
! [X0,X1] :
( ~ tptptypes_5_802(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(resolution,[],[f3300,f3144]) ).
fof(f5184,plain,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(resolution,[],[f3306,f3216]) ).
fof(f6331,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[],[f5183,f3834]) ).
fof(f6334,plain,
( ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| spl0_46 ),
inference(resolution,[],[f5184,f4046]) ).
fof(f9398,plain,
( ! [X0] :
( genlmt(X0,c_tptp_member2668_mt)
| mtvisible(X0) )
| ~ spl0_47 ),
inference(resolution,[],[f4050,f3825]) ).
fof(f9402,plain,
( mtvisible(c_tptp_spindlecollectormt)
| ~ spl0_47 ),
inference(resolution,[],[f9398,f3266]) ).
fof(f9403,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f9402,f3835]) ).
fof(f9404,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f9403]) ).
fof(f9405,plain,
( $false
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f6334,f6331]) ).
fof(f9406,plain,
spl0_46,
inference(avatar_contradiction_clause,[],[f9405]) ).
cnf(s33,plain,
( ~ spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f4051]) ).
cnf(s502,plain,
~ spl0_47,
inference(sat_conversion,[],[f9404]) ).
cnf(s503,plain,
spl0_46,
inference(sat_conversion,[],[f9406]) ).
cnf(s528,plain,
$false,
inference(rat,[],[s33,s502,s503]) ).
fof(f9407,plain,
$false,
inference(avatar_sat_refutation,[],[s528]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.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 22:23:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.22/0.31 % (1657521)Will run a generic schedule for satisfiability detection.
% 0.22/0.31 % (1657538)% WARNING: option uhcvi not known.
% 0.22/0.31 % (1657538)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=118065424:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.31 % (1657537)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2117586507_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.31 % (1657540)dis+10_1_sil=32000:sp=arity:random_seed=834728488:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.31 % (1657539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=241699902:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.31 % (1657541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1638533594:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.31 % (1657542)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3402807248:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.31 % (1657543)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2386874162:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.31 % TRYING [1]
% 0.22/0.31 % TRYING [2]
% 0.22/0.31 % (1657538) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657521-1657538"...
% 0.22/0.31 % (1657538)...printing done.
% 0.22/0.31 % (1657538)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Theorem for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31 % (1657538)------------------------------
% 0.22/0.31 % (1657538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (1657538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (1657538)CaDiCaL version: 2.1.3
% 0.22/0.31 % (1657538)Termination reason: Refutation
% 0.22/0.31 % (1657538)Time elapsed: 0.040 s
% 0.22/0.31 % (1657538)Peak memory usage: 17 MB
% 0.22/0.31 % (1657538)Instructions burned: 124 (million)
% 0.22/0.31 % (1657521)Success in time 0.085 s
% 0.22/0.31 % Vampire exiting
%------------------------------------------------------------------------------