%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR030+2 : 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 : 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 4.93s 1.52s
% Output : Refutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 12 unt; 2 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 21 |; 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 : 27 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_99) ).
fof(f133,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_133) ).
fof(f302,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_302) ).
fof(f451,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_451) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query80) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1148,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1149,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1150,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1149]) ).
fof(f1151,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f1154,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(ennf_transformation,[],[f451]) ).
fof(f1157,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f302]) ).
fof(f1170,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f1148]) ).
fof(f1171,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f1148]) ).
fof(f1172,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1173,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f1151]) ).
fof(f1174,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f133]) ).
fof(f1177,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[],[f1154]) ).
fof(f1179,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f1157]) ).
fof(f1200,definition,
( spl0_3
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1201,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_3 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1203,definition,
( spl0_4
<=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1204,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1205,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1177,f1203,f1200]) ).
fof(f1208,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithopenhand),
inference(resolution,[],[f1173,f1171]) ).
fof(f1209,plain,
! [X0] : ~ tptptypes_7_389(c_pushingwithopenhand,X0),
inference(resolution,[],[f1179,f1208]) ).
fof(f1211,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_spindleheadmt) )
| spl0_3 ),
inference(resolution,[],[f1172,f1201]) ).
fof(f1214,plain,
( ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| spl0_3 ),
inference(resolution,[],[f1211,f1170]) ).
fof(f1216,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f1214,f1174]) ).
fof(f1217,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1218,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f1204,f1209]) ).
fof(f1219,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1218]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f1217]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f1219]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f1220,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:14:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.93/1.52 % (835146)Detected formulas, will run a generic FOF schedule.
% 4.93/1.52 % (835222)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=1850857398:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.93/1.52 % (835220)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=257724268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.93/1.52 % (835223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=66464329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.93/1.52 % (835225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3404646743:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.93/1.52 % (835221)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=2287740158:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.93/1.52 % (835223)Refutation not found, incomplete strategy
% 4.93/1.52 % (835223)------------------------------
% 4.93/1.52 % (835223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.52 % (835223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.52 % (835223)CaDiCaL version: 2.1.3
% 4.93/1.52 % (835223)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.52 % (835223)Time elapsed: 0.003 s
% 4.93/1.52 % (835223)Peak memory usage: 88 MB
% 4.93/1.52 % (835223)Instructions burned: 3 (million)
% 4.93/1.52 % (835226)dis-21_1_sil=8000:lcm=predicate:random_seed=618489313: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)
% 4.93/1.52 % (835226)First to succeed.
% 4.93/1.52 % (835226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-835146"
% 4.93/1.52 % (835225)Also succeeded, but the first one will report.
% 4.93/1.52 % (835224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=103909872:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.93/1.52 % (835224)Instruction limit reached!
% 4.93/1.52 % (835224)------------------------------
% 4.93/1.52 % (835224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.52 % (835224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.52 % (835224)CaDiCaL version: 2.1.3
% 4.93/1.52 % (835224)Termination reason: Instruction limit
% 4.93/1.52 % (835224)Termination phase: Saturation
% 4.93/1.52 % (835224)Time elapsed: 0.080 s
% 4.93/1.52 % (835224)Peak memory usage: 88 MB
% 4.93/1.52 % (835224)Instructions burned: 120 (million)
% 4.93/1.52 % (835223)------------------------------
% 4.93/1.52 % (835223)------------------------------
% 4.93/1.52 % (835237)lrs+10_1_sil=8000:sp=occurrence:random_seed=2060127624:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.93/1.52 % (835237)Also succeeded, but the first one will report.
% 4.93/1.52 % (835222)Refutation not found, incomplete strategy
% 4.93/1.52 % (835222)------------------------------
% 4.93/1.52 % (835222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.52 % (835222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.52 % (835222)CaDiCaL version: 2.1.3
% 4.93/1.52 % (835222)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.52 % (835222)Time elapsed: 0.461 s
% 4.93/1.52 % (835222)Peak memory usage: 130 MB
% 4.93/1.52 % (835222)Instructions burned: 910 (million)
% 4.93/1.52 % (835226)Refutation found. Thanks to Tanya!
% 4.93/1.52 % SZS status Theorem for theBenchmark
% 4.93/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 4.93/1.52 % (835226)------------------------------
% 4.93/1.52 % (835226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.52 % (835226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.52 % (835226)CaDiCaL version: 2.1.3
% 4.93/1.52 % (835226)Termination reason: Refutation
% 4.93/1.52 % (835226)Time elapsed: 0.006 s
% 4.93/1.52 % (835226)Peak memory usage: 90 MB
% 4.93/1.52 % (835226)Instructions burned: 6 (million)
% 4.93/1.52 % (835226)------------------------------
% 4.93/1.52 % (835226)------------------------------
% 4.93/1.52 % (835146)Success in time 0.621 s
% 4.93/1.52 % Vampire exiting
%------------------------------------------------------------------------------