%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR070+2 : 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 : 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 09:42:35 AM UTC 2026
% Result : Theorem 4.49s 1.43s
% Output : Refutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 13 unt; 3 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 27 |; 2 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ax1_178) ).
fof(f271,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_271) ).
fof(f350,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_350) ).
fof(f416,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_416) ).
fof(f427,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_427) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/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(f1237,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(f1242,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(f1243,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1244,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1243]) ).
fof(f1249,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f416]) ).
fof(f1267,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(ennf_transformation,[],[f427]) ).
fof(f1323,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f139]) ).
fof(f1333,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f271]) ).
fof(f1398,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f1237]) ).
fof(f1399,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f1237]) ).
fof(f1405,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[],[f1242]) ).
fof(f1409,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f1244]) ).
fof(f1414,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f350]) ).
fof(f1423,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f1249]) ).
fof(f1438,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(cnf_transformation,[],[f1267]) ).
fof(f1499,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f1509,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f1333]) ).
fof(f1681,definition,
( spl0_25
<=> mtvisible(c_tptp_member2668_mt) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1684,definition,
( spl0_26
<=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1685,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1686,plain,
( ~ spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f1405,f1684,f1681]) ).
fof(f1783,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[],[f1423,f1399]) ).
fof(f1805,plain,
~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[],[f1499,f1783]) ).
fof(f1806,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(resolution,[],[f1509,f1438]) ).
fof(f1811,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2668_mt) ),
inference(resolution,[],[f1409,f1414]) ).
fof(f1838,definition,
( spl0_31
<=> mtvisible(c_tptp_spindlecollectormt) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f1839,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_31 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1846,plain,
( spl0_25
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1811,f1838,f1681]) ).
fof(f1857,plain,
( $false
| spl0_31 ),
inference(resolution,[],[f1839,f1398]) ).
fof(f1858,plain,
spl0_31,
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f2186,plain,
( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ spl0_26 ),
inference(resolution,[],[f1806,f1685]) ).
fof(f2187,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f2186,f1805]) ).
fof(f2188,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f2187]) ).
cnf(s17,plain,
( ~ spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f1686]) ).
cnf(s24,plain,
( spl0_25
| ~ spl0_31 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s29,plain,
spl0_31,
inference(sat_conversion,[],[f1858]) ).
cnf(s31,plain,
~ spl0_26,
inference(sat_conversion,[],[f2188]) ).
cnf(s36,plain,
spl0_25,
inference(rat,[],[s24,s29]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s17,s31,s36]) ).
fof(f2189,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:24:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.49/1.43 % (857148)Detected formulas, will run a generic FOF schedule.
% 4.49/1.43 % (857235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2363697077:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.49/1.43 % (857230)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=2434625887:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.49/1.43 % (857236)dis-21_1_sil=8000:lcm=predicate:random_seed=3650456455: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)
% 4.49/1.43 % (857235)Instruction limit reached!
% 4.49/1.43 % (857235)------------------------------
% 4.49/1.43 % (857235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.43 % (857235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.43 % (857235)CaDiCaL version: 2.1.3
% 4.49/1.43 % (857235)Termination reason: Instruction limit
% 4.49/1.43 % (857235)Termination phase: Saturation
% 4.49/1.43 % (857235)Time elapsed: 0.066 s
% 4.49/1.43 % (857235)Peak memory usage: 90 MB
% 4.49/1.43 % (857235)Instructions burned: 141 (million)
% 4.49/1.43 % (857236)First to succeed.
% 4.49/1.43 % (857236)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-857148"
% 4.49/1.43 % (857232)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=183457285:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.49/1.43 % (857233)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2752099411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.49/1.43 % (857231)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=3401561605:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.49/1.43 % (857234)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=581288058:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.49/1.43 % (857233)Refutation not found, incomplete strategy
% 4.49/1.43 % (857233)------------------------------
% 4.49/1.43 % (857233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.43 % (857233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.43 % (857233)CaDiCaL version: 2.1.3
% 4.49/1.43 % (857233)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.43 % (857233)Time elapsed: 0.004 s
% 4.49/1.43 % (857233)Peak memory usage: 87 MB
% 4.49/1.43 % (857233)Instructions burned: 3 (million)
% 4.49/1.43 % (857234)Instruction limit reached!
% 4.49/1.43 % (857234)------------------------------
% 4.49/1.43 % (857234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.43 % (857234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.43 % (857234)CaDiCaL version: 2.1.3
% 4.49/1.43 % (857234)Termination reason: Instruction limit
% 4.49/1.43 % (857234)Termination phase: Saturation
% 4.49/1.43 % (857234)Time elapsed: 0.081 s
% 4.49/1.43 % (857234)Peak memory usage: 88 MB
% 4.49/1.43 % (857234)Instructions burned: 120 (million)
% 4.49/1.43 % (857248)lrs+10_1_sil=8000:sp=occurrence:random_seed=2267178500:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.49/1.43 % (857248)Also succeeded, but the first one will report.
% 4.49/1.43 % (857253)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3338506755:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.49/1.43 % (857253)Refutation not found, incomplete strategy
% 4.49/1.43 % (857253)------------------------------
% 4.49/1.43 % (857253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.43 % (857253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.43 % (857253)CaDiCaL version: 2.1.3
% 4.49/1.43 % (857253)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.43 % (857253)Time elapsed: 0.003 s
% 4.49/1.43 % (857253)Peak memory usage: 89 MB
% 4.49/1.43 % (857253)Instructions burned: 8 (million)
% 4.49/1.43 % (857236)Refutation found. Thanks to Tanya!
% 4.49/1.43 % SZS status Theorem for theBenchmark
% 4.49/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.49/1.43 % (857236)------------------------------
% 4.49/1.43 % (857236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.43 % (857236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.43 % (857236)CaDiCaL version: 2.1.3
% 4.49/1.43 % (857236)Termination reason: Refutation
% 4.49/1.43 % (857236)Time elapsed: 0.015 s
% 4.49/1.43 % (857236)Peak memory usage: 90 MB
% 4.49/1.43 % (857236)Instructions burned: 19 (million)
% 4.49/1.43 % (857236)------------------------------
% 4.49/1.43 % (857236)------------------------------
% 4.49/1.43 % (857148)Success in time 0.571 s
% 4.49/1.43 % Vampire exiting
%------------------------------------------------------------------------------