%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR070+3 : 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 : n004.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 3.88s 0.91s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 13 unt; 2 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 34 ~; 27 |; 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 : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_254) ).
fof(f596,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_596) ).
fof(f602,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+2.ax',ax2_602) ).
fof(f1876,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1876) ).
fof(f2254,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2254) ).
fof(f2522,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2522) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(f8006,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',query170) ).
fof(f8007,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)],[f8006]) ).
fof(f8945,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f596]) ).
fof(f8947,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(ennf_transformation,[],[f602]) ).
fof(f9481,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f1876]) ).
fof(f9641,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(ennf_transformation,[],[f2254]) ).
fof(f9742,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f2522]) ).
fof(f13390,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f13391,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f13390]) ).
fof(f13400,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f13648,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f254]) ).
fof(f13985,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f8945]) ).
fof(f13991,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(cnf_transformation,[],[f8947]) ).
fof(f15239,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| tptptypes_5_802(X0,X1) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f15612,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f9641]) ).
fof(f15877,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f9742]) ).
fof(f20678,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| ~ genlmt(X0,X1)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f13391]) ).
fof(f20687,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f13400]) ).
fof(f20688,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f13400]) ).
fof(f20869,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(consistent_polarity_flipping,[],[f13985]) ).
fof(f21276,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| ~ tptptypes_5_802(X0,X1) ),
inference(consistent_polarity_flipping,[],[f15239]) ).
fof(f21491,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(consistent_polarity_flipping,[],[f15877]) ).
fof(f24824,plain,
tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(consistent_polarity_flipping,[],[f20688]) ).
fof(f26358,definition,
( spl0_332
<=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
fof(f26360,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f26358]) ).
fof(f26362,definition,
( spl0_333
<=> mtvisible(c_tptp_member2668_mt) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
fof(f28202,plain,
( spl0_332
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f13991,f26362,f26358]) ).
fof(f29993,plain,
! [X0,X1] :
( ~ tptptypes_5_802(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(resolution,[],[f21276,f20869]) ).
fof(f30319,plain,
! [X0] :
( ~ genlmt(c_tptp_spindlecollectormt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f20678,f20687]) ).
fof(f30329,plain,
mtvisible(c_tptp_member2668_mt),
inference(resolution,[],[f30319,f13648]) ).
fof(f30402,plain,
spl0_333,
inference(avatar_split_clause,[],[f30329,f26362]) ).
fof(f30432,plain,
( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_332 ),
inference(resolution,[],[f26360,f15612]) ).
fof(f35827,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[],[f29993,f24824]) ).
fof(f35895,plain,
( ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_332 ),
inference(resolution,[],[f30432,f21491]) ).
fof(f35898,plain,
( $false
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f35895,f35827]) ).
fof(f35899,plain,
~ spl0_332,
inference(avatar_contradiction_clause,[],[f35898]) ).
cnf(s628,plain,
( spl0_332
| ~ spl0_333 ),
inference(sat_conversion,[],[f28202]) ).
cnf(s727,plain,
spl0_333,
inference(sat_conversion,[],[f30402]) ).
cnf(s748,plain,
~ spl0_332,
inference(sat_conversion,[],[f35899]) ).
cnf(s771,plain,
$false,
inference(rat,[],[s628,s727,s748]) ).
fof(f35900,plain,
$false,
inference(avatar_sat_refutation,[],[s771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:24:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 2.84/0.89 % (857204)Will run a generic schedule for satisfiability detection.
% 2.84/0.89 % (857212)dis+10_1_sil=32000:sp=arity:random_seed=1399375127:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 2.84/0.89 % (857210)% WARNING: option uhcvi not known.
% 2.84/0.89 % (857210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3056243967:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 2.84/0.89 % (857209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1428206301_2998 on theBenchmark for (2998ds/0Mi)
% 2.84/0.89 % (857211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1267654981:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 2.84/0.89 % (857213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3057224733:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 2.84/0.89 % (857214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1883101666:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 2.84/0.89 % (857215)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1949188626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 2.84/0.89 % (857212)Instruction limit reached!
% 2.84/0.89 % (857212)------------------------------
% 2.84/0.89 % (857212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.89 % (857212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.89 % (857212)CaDiCaL version: 2.1.3
% 2.84/0.89 % (857212)Termination reason: Instruction limit
% 2.84/0.89 % (857212)Termination phase: Saturation
% 2.84/0.89 % (857212)Time elapsed: 0.037 s
% 2.84/0.89 % (857212)Peak memory usage: 22 MB
% 2.84/0.89 % (857212)Instructions burned: 107 (million)
% 2.84/0.89 % (857223)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1042420091:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 2.84/0.89 % (857214)Instruction limit reached!
% 2.84/0.89 % (857214)------------------------------
% 2.84/0.89 % (857214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.89 % (857214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.89 % (857214)CaDiCaL version: 2.1.3
% 2.84/0.89 % (857214)Termination reason: Instruction limit
% 2.84/0.89 % (857214)Termination phase: Saturation
% 2.84/0.89 % (857214)Time elapsed: 0.074 s
% 2.84/0.89 % (857214)Peak memory usage: 24 MB
% 2.84/0.89 % (857214)Instructions burned: 131 (million)
% 2.84/0.89 % (857213)Instruction limit reached!
% 2.84/0.89 % (857213)------------------------------
% 2.84/0.89 % (857213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.89 % (857213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.89 % (857213)CaDiCaL version: 2.1.3
% 2.84/0.89 % (857213)Termination reason: Instruction limit
% 2.84/0.89 % (857213)Termination phase: Blocked clause elimination
% 2.84/0.89 % (857213)Time elapsed: 0.081 s
% 2.84/0.89 % (857213)Peak memory usage: 24 MB
% 2.84/0.89 % (857213)Instructions burned: 116 (million)
% 2.84/0.89 % (857225)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=865450229:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 2.84/0.89 % (857227)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2967651323:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 2.84/0.89 % (857215)Instruction limit reached!
% 2.84/0.89 % (857215)------------------------------
% 2.84/0.89 % (857215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.89 % (857215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.89 % (857215)CaDiCaL version: 2.1.3
% 2.84/0.89 % (857215)Termination reason: Instruction limit
% 2.84/0.89 % (857215)Termination phase: Saturation
% 2.84/0.89 % (857215)Time elapsed: 0.139 s
% 2.84/0.89 % (857215)Peak memory usage: 25 MB
% 2.84/0.89 % (857215)Instructions burned: 159 (million)
% 2.84/0.89 % (857237)ott-21_1_sil=16000:fs=off:random_seed=2569564429:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 2.84/0.89 % TRYING [1]
% 2.84/0.89 % TRYING [2]
% 2.84/0.89 % (857225)Instruction limit reached!
% 2.84/0.89 % (857225)------------------------------
% 2.84/0.89 % (857225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.89 % (857225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.89 % (857225)CaDiCaL version: 2.1.3
% 3.88/0.91 % (857225)Termination reason: Instruction limit
% 3.88/0.91 % (857225)Termination phase: Blocked clause elimination
% 3.88/0.91 % (857225)Time elapsed: 0.110 s
% 3.88/0.91 % (857225)Peak memory usage: 24 MB
% 3.88/0.91 % (857225)Instructions burned: 132 (million)
% 3.88/0.91 % (857239)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=354206674:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.88/0.91 % TRYING [3]
% 3.88/0.91 % (857237)Instruction limit reached!
% 3.88/0.91 % (857237)------------------------------
% 3.88/0.91 % (857237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.91 % (857237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.91 % (857237)CaDiCaL version: 2.1.3
% 3.88/0.91 % (857237)Termination reason: Instruction limit
% 3.88/0.91 % (857237)Termination phase: Saturation
% 3.88/0.91 % (857237)Time elapsed: 0.103 s
% 3.88/0.91 % (857237)Peak memory usage: 23 MB
% 3.88/0.91 % (857237)Instructions burned: 181 (million)
% 3.88/0.91 % (857223)Instruction limit reached!
% 3.88/0.91 % (857223)------------------------------
% 3.88/0.91 % (857223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.91 % (857223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.91 % (857223)CaDiCaL version: 2.1.3
% 3.88/0.91 % (857223)Termination reason: Instruction limit
% 3.88/0.91 % (857223)Termination phase: Finite model building constraint generation
% 3.88/0.91 % (857223)Time elapsed: 0.256 s
% 3.88/0.91 % (857223)Peak memory usage: 41 MB
% 3.88/0.91 % (857223)Instructions burned: 715 (million)
% 3.88/0.91 % TRYING [1]
% 3.88/0.91 % (857241)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2239842276:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 3.88/0.91 % (857244)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4137926734:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.88/0.91 % TRYING [2]
% 3.88/0.91 % TRYING [3]
% 3.88/0.91 % (857210) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-857204-857210"...
% 3.88/0.91 % (857210)...printing done.
% 3.88/0.91 % (857210)Refutation found. Thanks to Tanya!
% 3.88/0.91 % SZS status Theorem for theBenchmark
% 3.88/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/0.91 % (857210)------------------------------
% 3.88/0.91 % (857210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.91 % (857210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.91 % (857210)CaDiCaL version: 2.1.3
% 3.88/0.91 % (857210)Termination reason: Refutation
% 3.88/0.91 % (857210)Time elapsed: 0.458 s
% 3.88/0.91 % (857210)Peak memory usage: 34 MB
% 3.88/0.91 % (857210)Instructions burned: 565 (million)
% 3.88/0.91 % (857204)Success in time 0.663 s
% 3.88/0.91 % Vampire exiting
%------------------------------------------------------------------------------