%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR073+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 : n007.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 5.98s 1.92s
% Output : Refutation 5.98s
% 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 : 42 ( 0 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_99) ).
fof(f108,axiom,
! [X0,X1] :
( tptptypes_9_401(X0,X1)
=> tptptypes_8_400(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_108) ).
fof(f157,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_157) ).
fof(f174,axiom,
! [X0,X1] :
( tptptypes_8_400(X0,X1)
=> tptptypes_7_396(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_174) ).
fof(f198,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_198) ).
fof(f409,axiom,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
=> tptptypes_6_388(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_409) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query123) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1187,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingababycarriage)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1188,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1189,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1188]) ).
fof(f1190,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f1193,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(ennf_transformation,[],[f157]) ).
fof(f1206,plain,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
| ~ tptptypes_7_396(X0,X1) ),
inference(ennf_transformation,[],[f409]) ).
fof(f1210,plain,
! [X0,X1] :
( tptptypes_8_400(X1,X0)
| ~ tptptypes_9_401(X0,X1) ),
inference(ennf_transformation,[],[f108]) ).
fof(f1245,plain,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
| ~ tptptypes_8_400(X0,X1) ),
inference(ennf_transformation,[],[f174]) ).
fof(f1253,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f1187]) ).
fof(f1254,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
inference(cnf_transformation,[],[f1187]) ).
fof(f1255,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1189]) ).
fof(f1262,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(cnf_transformation,[],[f198]) ).
fof(f1264,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f1190]) ).
fof(f1267,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(cnf_transformation,[],[f1193]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ tptptypes_7_396(X0,X1)
| tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f1206]) ).
fof(f1279,plain,
! [X0,X1] :
( tptptypes_8_400(X1,X0)
| ~ tptptypes_9_401(X0,X1) ),
inference(cnf_transformation,[],[f1210]) ).
fof(f1319,plain,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
| ~ tptptypes_8_400(X0,X1) ),
inference(cnf_transformation,[],[f1245]) ).
fof(f1386,definition,
( spl0_18
<=> mtvisible(c_tptp_member237_mt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f1387,plain,
( ~ mtvisible(c_tptp_member237_mt)
| spl0_18 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1389,definition,
( spl0_19
<=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f1390,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1391,plain,
( ~ spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f1267,f1389,f1386]) ).
fof(f1406,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingababycarriage),
inference(resolution,[],[f1264,f1254]) ).
fof(f1408,plain,
! [X0,X1] :
( ~ tptptypes_8_400(X0,X1)
| tptptypes_6_388(X0,X1) ),
inference(resolution,[],[f1319,f1276]) ).
fof(f1414,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_member237_mt) )
| spl0_18 ),
inference(resolution,[],[f1255,f1387]) ).
fof(f1437,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt)
| spl0_18 ),
inference(resolution,[],[f1414,f1253]) ).
fof(f1439,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f1437,f1262]) ).
fof(f1440,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1466,plain,
! [X0,X1] :
( ~ tptptypes_9_401(X1,X0)
| tptptypes_6_388(X0,X1) ),
inference(resolution,[],[f1408,f1279]) ).
fof(f1500,plain,
( tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage)
| ~ spl0_19 ),
inference(resolution,[],[f1466,f1390]) ).
fof(f1501,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f1500,f1406]) ).
fof(f1502,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f1501]) ).
cnf(s11,plain,
( ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s15,plain,
spl0_18,
inference(sat_conversion,[],[f1440]) ).
cnf(s22,plain,
~ spl0_19,
inference(sat_conversion,[],[f1502]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s11,s22,s15]) ).
fof(f1503,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR073+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n007.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.25/0.27 % CPULimit : 300
% 0.25/0.27 % WCLimit : 300
% 0.25/0.27 % DateTime : Mon Sep 28 22:24:24 UTC 2026
% 0.25/0.28 % CPUTime :
% 0.25/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running first-order theorem proving
% 0.25/0.32 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
% 5.98/1.92 % (2926606)Detected formulas, will run a generic FOF schedule.
% 5.98/1.92 % (2926611)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=3278110216:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.98/1.92 % (2926614)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1107041285:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.98/1.92 % (2926612)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=246857435:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.98/1.92 % (2926615)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1170942034:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.98/1.92 % (2926616)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3274530388:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.98/1.92 % (2926617)dis-21_1_sil=8000:lcm=predicate:random_seed=1157500249: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)
% 5.98/1.92 % (2926613)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=1883298364:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.98/1.92 % (2926614)Refutation not found, incomplete strategy
% 5.98/1.92 % (2926614)------------------------------
% 5.98/1.92 % (2926614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.92 % (2926614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.92 % (2926614)CaDiCaL version: 2.1.3
% 5.98/1.92 % (2926614)Termination reason: Refutation not found, incomplete strategy
% 5.98/1.92 % (2926614)Time elapsed: 0.004 s
% 5.98/1.92 % (2926614)Peak memory usage: 87 MB
% 5.98/1.92 % (2926614)Instructions burned: 3 (million)
% 5.98/1.92 % (2926617)First to succeed.
% 5.98/1.92 % (2926617)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2926606"
% 5.98/1.92 % (2926615)Instruction limit reached!
% 5.98/1.92 % (2926615)------------------------------
% 5.98/1.92 % (2926615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.92 % (2926615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.92 % (2926615)CaDiCaL version: 2.1.3
% 5.98/1.92 % (2926615)Termination reason: Instruction limit
% 5.98/1.92 % (2926615)Termination phase: Saturation
% 5.98/1.92 % (2926615)Time elapsed: 0.078 s
% 5.98/1.92 % (2926615)Peak memory usage: 87 MB
% 5.98/1.92 % (2926615)Instructions burned: 121 (million)
% 5.98/1.92 % (2926616)Instruction limit reached!
% 5.98/1.92 % (2926616)------------------------------
% 5.98/1.92 % (2926616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.92 % (2926616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.92 % (2926616)CaDiCaL version: 2.1.3
% 5.98/1.92 % (2926616)Termination reason: Instruction limit
% 5.98/1.92 % (2926616)Termination phase: Saturation
% 5.98/1.92 % (2926616)Time elapsed: 0.122 s
% 5.98/1.92 % (2926616)Peak memory usage: 90 MB
% 5.98/1.92 % (2926616)Instructions burned: 140 (million)
% 5.98/1.92 % (2926625)lrs+10_1_sil=8000:sp=occurrence:random_seed=910226565:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.98/1.92 % (2926625)Also succeeded, but the first one will report.
% 5.98/1.92 % (2926614)------------------------------
% 5.98/1.92 % (2926614)------------------------------
% 5.98/1.92 % (2926626)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2311255357:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.98/1.92 % (2926617)Refutation found. Thanks to Tanya!
% 5.98/1.92 % SZS status Theorem for theBenchmark
% 5.98/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.98/1.92 % (2926617)------------------------------
% 5.98/1.92 % (2926617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.92 % (2926617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.92 % (2926617)CaDiCaL version: 2.1.3
% 5.98/1.92 % (2926617)Termination reason: Refutation
% 5.98/1.92 % (2926617)Time elapsed: 0.013 s
% 5.98/1.92 % (2926617)Peak memory usage: 90 MB
% 5.98/1.92 % (2926617)Instructions burned: 10 (million)
% 5.98/1.92 % (2926617)------------------------------
% 5.98/1.92 % (2926617)------------------------------
% 5.98/1.92 % (2926606)Success in time 0.724 s
% 5.98/1.92 % Vampire exiting
%------------------------------------------------------------------------------