%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR030+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 : n002.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 09:42:03 AM UTC 2026
% Result : Theorem 4.24s 1.41s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 11 unt; 2 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 27 ~; 22 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 24 !; 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_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f49,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(f58,conjecture,
? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query30) ).
fof(f59,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f77,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f78,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f102,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f112,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(ennf_transformation,[],[f59]) ).
fof(f119,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f123,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f11]) ).
fof(f124,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[],[f79]) ).
fof(f144,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f112]) ).
fof(f154,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f112]) ).
fof(f156,definition,
( spl0_1
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f157,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,definition,
( spl0_2
<=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f160,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f124,f159,f156]) ).
fof(f170,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithopenhand),
inference(resolution,[],[f119,f154]) ).
fof(f171,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_spindleheadmt) )
| spl0_1 ),
inference(resolution,[],[f144,f157]) ).
fof(f175,plain,
( ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| spl0_1 ),
inference(resolution,[],[f171,f153]) ).
fof(f176,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f175,f123]) ).
fof(f177,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f178,plain,
( tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ spl0_2 ),
inference(resolution,[],[f160,f121]) ).
fof(f179,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f178,f170]) ).
fof(f180,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f179]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f161]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f177]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f180]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n002.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 22:14:07 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 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
% 4.24/1.41 % (835215)Detected formulas, will run a generic FOF schedule.
% 4.24/1.41 % (835236)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=3496404422:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.24/1.41 % (835242)dis-21_1_sil=8000:lcm=predicate:random_seed=2163581954: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)
% 4.24/1.41 % (835242)First to succeed.
% 4.24/1.41 % (835242)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-835215"
% 4.24/1.41 % (835235)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=3393655339:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.24/1.41 % (835238)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=2018942001:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.24/1.41 % (835241)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3064293893:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.24/1.41 % (835240)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=134878385:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.24/1.41 % (835239)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2591715357:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.24/1.41 % (835241)Also succeeded, but the first one will report.
% 4.24/1.41 % (835239)Refutation not found, incomplete strategy
% 4.24/1.41 % (835239)------------------------------
% 4.24/1.41 % (835239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.41 % (835239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.41 % (835239)CaDiCaL version: 2.1.3
% 4.24/1.41 % (835239)Termination reason: Refutation not found, incomplete strategy
% 4.24/1.41 % (835239)Time elapsed: 0.001 s
% 4.24/1.41 % (835239)Peak memory usage: 87 MB
% 4.24/1.41 % (835240)Also succeeded, but the first one will report.
% 4.24/1.41 % (835242)Refutation found. Thanks to Tanya!
% 4.24/1.41 % SZS status Theorem for theBenchmark
% 4.24/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 4.24/1.41 % (835242)------------------------------
% 4.24/1.41 % (835242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.41 % (835242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.41 % (835242)CaDiCaL version: 2.1.3
% 4.24/1.41 % (835242)Termination reason: Refutation
% 4.24/1.41 % (835242)Time elapsed: 0.004 s
% 4.24/1.41 % (835242)Peak memory usage: 89 MB
% 4.24/1.41 % (835242)Instructions burned: 2 (million)
% 4.24/1.41 % (835242)------------------------------
% 4.24/1.41 % (835242)------------------------------
% 4.24/1.41 % (835215)Success in time 0.502 s
% 4.24/1.41 % Vampire exiting
%------------------------------------------------------------------------------