%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n019.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 09:42:35 AM UTC 2026
% Result : Theorem 6.49s 1.88s
% Output : Refutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 31 ~; 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 : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_254) ).
fof(f596,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_596) ).
fof(f1876,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1876) ).
fof(f2254,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2254) ).
fof(f2522,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2522) ).
fof(f2664,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/theBenchmark.p',ax2_2664) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(f8032,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(f8035,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8036,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8035]) ).
fof(f8038,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f1876]) ).
fof(f8043,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(ennf_transformation,[],[f2664]) ).
fof(f8062,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f596]) ).
fof(f8064,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(ennf_transformation,[],[f2254]) ).
fof(f8076,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f2522]) ).
fof(f8077,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f8032]) ).
fof(f8078,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f8032]) ).
fof(f8081,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8036]) ).
fof(f8084,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| tptptypes_5_802(X0,X1) ),
inference(cnf_transformation,[],[f8038]) ).
fof(f8089,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[],[f8043]) ).
fof(f8107,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f8062]) ).
fof(f8109,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f8064]) ).
fof(f8111,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f254]) ).
fof(f8120,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f8076]) ).
fof(f8132,definition,
( spl0_3
<=> mtvisible(c_tptp_member2668_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f8134,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| spl0_3 ),
inference(avatar_component_clause,[],[f8132]) ).
fof(f8136,definition,
( spl0_4
<=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f8138,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f8136]) ).
fof(f8140,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8089,f8136,f8132]) ).
fof(f8183,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2668_mt) ),
inference(resolution,[],[f8081,f8111]) ).
fof(f8185,plain,
mtvisible(c_tptp_member2668_mt),
inference(forward_subsumption_resolution,[],[f8183,f8077]) ).
fof(f8186,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f8185,f8134]) ).
fof(f8187,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f8186]) ).
fof(f8188,plain,
( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_4 ),
inference(resolution,[],[f8138,f8109]) ).
fof(f8190,plain,
( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_4 ),
inference(resolution,[],[f8188,f8120]) ).
fof(f8192,plain,
( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_4 ),
inference(resolution,[],[f8190,f8107]) ).
fof(f8201,plain,
( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_4 ),
inference(resolution,[],[f8192,f8084]) ).
fof(f8202,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f8201,f8078]) ).
fof(f8203,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f8202]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f8140]) ).
cnf(s8,plain,
spl0_3,
inference(sat_conversion,[],[f8187]) ).
cnf(s9,plain,
~ spl0_4,
inference(sat_conversion,[],[f8203]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s9,s8]) ).
fof(f8204,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n019.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 22:24:33 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/1.63 % (346852)Detected formulas, will run a generic FOF schedule.
% 4.57/1.63 % (346865)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=2737664486:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.57/1.63 % (346871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=729938404:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.57/1.63 % (346866)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=471032558:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.57/1.63 % (346870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=529611310:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.57/1.63 % (346873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4003270264:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.57/1.63 % (346870)Refutation not found, incomplete strategy
% 4.57/1.63 % (346870)------------------------------
% 4.57/1.63 % (346870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.63 % (346870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.63 % (346870)CaDiCaL version: 2.1.3
% 4.57/1.63 % (346870)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.63 % (346870)Time elapsed: 0.024 s
% 4.57/1.63 % (346870)Peak memory usage: 93 MB
% 4.57/1.63 % (346870)Instructions burned: 24 (million)
% 4.57/1.63 % (346874)dis-21_1_sil=8000:lcm=predicate:random_seed=2198161348: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)
% 4.57/1.63 % (346867)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=1893959336:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.57/1.63 % (346874)Instruction limit reached!
% 4.57/1.63 % (346874)------------------------------
% 4.57/1.63 % (346874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.63 % (346874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.63 % (346874)CaDiCaL version: 2.1.3
% 4.57/1.63 % (346874)Termination reason: Instruction limit
% 4.57/1.63 % (346874)Termination phase: Saturation
% 4.57/1.63 % (346874)Time elapsed: 0.057 s
% 4.57/1.63 % (346874)Peak memory usage: 94 MB
% 4.57/1.63 % (346874)Instructions burned: 131 (million)
% 4.57/1.63 % (346871)Instruction limit reached!
% 4.57/1.63 % (346871)------------------------------
% 4.57/1.63 % (346871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.63 % (346871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.63 % (346871)CaDiCaL version: 2.1.3
% 4.57/1.63 % (346871)Termination reason: Instruction limit
% 4.57/1.63 % (346871)Termination phase: Saturation
% 4.57/1.63 % (346871)Time elapsed: 0.091 s
% 4.57/1.63 % (346871)Peak memory usage: 93 MB
% 4.57/1.63 % (346871)Instructions burned: 120 (million)
% 4.57/1.63 % (346873)Instruction limit reached!
% 4.57/1.63 % (346873)------------------------------
% 4.57/1.63 % (346873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.63 % (346873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.63 % (346873)CaDiCaL version: 2.1.3
% 4.57/1.63 % (346873)Termination reason: Instruction limit
% 4.57/1.63 % (346873)Termination phase: Property scanning
% 4.57/1.63 % (346873)Time elapsed: 0.136 s
% 4.57/1.63 % (346873)Peak memory usage: 93 MB
% 4.57/1.63 % (346873)Instructions burned: 140 (million)
% 4.57/1.63 % (346893)lrs+10_1_sil=8000:sp=occurrence:random_seed=1097327166:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 4.57/1.63 % (346894)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4033125916:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.57/1.63 % (346893)First to succeed.
% 4.57/1.63 % (346893)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-346852"
% 4.57/1.63 % (346894)Refutation not found, incomplete strategy
% 4.57/1.63 % (346894)------------------------------
% 4.57/1.63 % (346894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.63 % (346894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.63 % (346894)CaDiCaL version: 2.1.3
% 6.49/1.88 % (346894)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.88 % (346894)Time elapsed: 0.052 s
% 6.49/1.88 % (346894)Peak memory usage: 94 MB
% 6.49/1.88 % (346894)Instructions burned: 57 (million)
% 6.49/1.88 % (346895)lrs+1011_1_sil=32000:sp=occurrence:random_seed=410716094:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.49/1.88 % (346895)Refutation not found, incomplete strategy
% 6.49/1.88 % (346895)------------------------------
% 6.49/1.88 % (346895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.88 % (346895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.88 % (346895)CaDiCaL version: 2.1.3
% 6.49/1.88 % (346895)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.88 % (346895)Time elapsed: 0.024 s
% 6.49/1.88 % (346895)Peak memory usage: 94 MB
% 6.49/1.88 % (346895)Instructions burned: 20 (million)
% 6.49/1.88 % (346870)------------------------------
% 6.49/1.88 % (346870)------------------------------
% 6.49/1.88 % (346893)Refutation found. Thanks to Tanya!
% 6.49/1.88 % SZS status Theorem for theBenchmark
% 6.49/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 6.49/1.88 % (346893)------------------------------
% 6.49/1.88 % (346893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.88 % (346893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.89 % (346893)CaDiCaL version: 2.1.3
% 6.49/1.89 % (346893)Termination reason: Refutation
% 6.49/1.89 % (346893)Time elapsed: 0.029 s
% 6.49/1.89 % (346893)Peak memory usage: 95 MB
% 6.49/1.89 % (346893)Instructions burned: 23 (million)
% 6.49/1.89 % (346893)------------------------------
% 6.49/1.89 % (346893)------------------------------
% 6.49/1.89 % (346852)Success in time 0.971 s
% 6.49/1.89 % Vampire exiting
%------------------------------------------------------------------------------