%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR073+1 : 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 : n018.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 09:42:38 AM UTC 2026
% Result : Theorem 3.49s 1.28s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 28 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
=> tptptypes_6_388(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
! [X0,X1] :
( tptptypes_8_400(X0,X1)
=> tptptypes_7_396(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f13,axiom,
! [X0,X1] :
( tptptypes_9_401(X0,X1)
=> tptptypes_8_400(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f15,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
fof(f18,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).
fof(f59,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
fof(f68,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query73) ).
fof(f69,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f91,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f92,plain,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
| ~ tptptypes_7_396(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f93,plain,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
| ~ tptptypes_8_400(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f94,plain,
! [X0,X1] :
( tptptypes_8_400(X1,X0)
| ~ tptptypes_9_401(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f95,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(ennf_transformation,[],[f18]) ).
fof(f118,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f119,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f128,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingababycarriage)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f69]) ).
fof(f135,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f137,plain,
! [X0,X1] :
( ~ tptptypes_7_396(X0,X1)
| tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f139,plain,
! [X0,X1] :
( ~ tptptypes_8_400(X0,X1)
| tptptypes_7_396(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f141,plain,
! [X0,X1] :
( ~ tptptypes_9_401(X0,X1)
| tptptypes_8_400(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f143,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(cnf_transformation,[],[f15]) ).
fof(f146,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(cnf_transformation,[],[f95]) ).
fof(f166,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f175,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f128]) ).
fof(f176,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
inference(cnf_transformation,[],[f128]) ).
fof(f178,definition,
( spl0_1
<=> mtvisible(c_tptp_member237_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f179,plain,
( ~ mtvisible(c_tptp_member237_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,definition,
( spl0_2
<=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f146,f181,f178]) ).
fof(f192,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingababycarriage),
inference(resolution,[],[f135,f176]) ).
fof(f193,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_member237_mt) )
| spl0_1 ),
inference(resolution,[],[f166,f179]) ).
fof(f197,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt)
| spl0_1 ),
inference(resolution,[],[f193,f175]) ).
fof(f198,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f197,f143]) ).
fof(f199,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f200,plain,
( tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage)
| ~ spl0_2 ),
inference(resolution,[],[f182,f141]) ).
fof(f201,plain,
( tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage)
| ~ spl0_2 ),
inference(resolution,[],[f200,f139]) ).
fof(f202,plain,
( tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage)
| ~ spl0_2 ),
inference(resolution,[],[f201,f137]) ).
fof(f203,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f202,f192]) ).
fof(f204,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f203]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f183]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f199]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f204]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f205,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 % Computer : n018.cluster.edu
% 0.12/0.22 % Model : x86_64 x86_64
% 0.12/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.22 % Memory : 8046.5625MB
% 0.12/0.22 % OS : Linux 6.8.0-71-generic
% 0.12/0.22 % CPULimit : 300
% 0.12/0.22 % WCLimit : 300
% 0.12/0.22 % DateTime : Mon Sep 28 22:28:39 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 Running first-order theorem proving
% 0.12/0.25 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
% 3.49/1.28 % (3868548)Detected formulas, will run a generic FOF schedule.
% 3.49/1.28 % (3868669)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2077049490:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.28 % (3868669)Refutation not found, incomplete strategy
% 3.49/1.28 % (3868669)------------------------------
% 3.49/1.28 % (3868669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (3868669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (3868669)CaDiCaL version: 2.1.3
% 3.49/1.28 % (3868669)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.28 % (3868669)Time elapsed: 0.0000 s
% 3.49/1.28 % (3868669)Peak memory usage: 86 MB
% 3.49/1.28 % (3868666)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=410621615:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.28 % (3868670)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1528280912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.28 % (3868673)dis-21_1_sil=8000:lcm=predicate:random_seed=3876192287: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)
% 3.49/1.28 % (3868667)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=1830112039:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.28 % (3868668)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=1028817946:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.28 % (3868673)First to succeed.
% 3.49/1.28 % (3868673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3868548"
% 3.49/1.28 % (3868672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=911407636:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.28 % (3868672)Also succeeded, but the first one will report.
% 3.49/1.28 % (3868670)Instruction limit reached!
% 3.49/1.28 % (3868670)------------------------------
% 3.49/1.28 % (3868670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (3868670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (3868670)CaDiCaL version: 2.1.3
% 3.49/1.28 % (3868670)Termination reason: Instruction limit
% 3.49/1.28 % (3868670)Termination phase: Saturation
% 3.49/1.28 % (3868670)Time elapsed: 0.046 s
% 3.49/1.28 % (3868670)Peak memory usage: 87 MB
% 3.49/1.28 % (3868670)Instructions burned: 120 (million)
% 3.49/1.28 % (3868669)------------------------------
% 3.49/1.28 % (3868669)------------------------------
% 3.49/1.28 % (3868684)lrs+10_1_sil=8000:sp=occurrence:random_seed=3052378564:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.49/1.28 % (3868684)Also succeeded, but the first one will report.
% 3.49/1.28 % (3868685)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1964614512:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.49/1.28 % (3868685)Refutation not found, incomplete strategy
% 3.49/1.28 % (3868685)------------------------------
% 3.49/1.28 % (3868685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (3868685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (3868685)CaDiCaL version: 2.1.3
% 3.49/1.28 % (3868685)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.28 % (3868685)Time elapsed: 0.001 s
% 3.49/1.28 % (3868685)Peak memory usage: 88 MB
% 3.49/1.28 % (3868673)Refutation found. Thanks to Tanya!
% 3.49/1.28 % SZS status Theorem for theBenchmark
% 3.49/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.28 % (3868673)------------------------------
% 3.49/1.28 % (3868673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (3868673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (3868673)CaDiCaL version: 2.1.3
% 3.49/1.28 % (3868673)Termination reason: Refutation
% 3.49/1.28 % (3868673)Time elapsed: 0.003 s
% 3.49/1.28 % (3868673)Peak memory usage: 89 MB
% 3.49/1.28 % (3868673)Instructions burned: 2 (million)
% 3.49/1.28 % (3868673)------------------------------
% 3.49/1.28 % (3868673)------------------------------
% 3.49/1.28 % (3868548)Success in time 0.4 s
% 3.49/1.28 % Vampire exiting
%------------------------------------------------------------------------------