%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR048+4 : 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 : n026.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 09:42:18 AM UTC 2026
% Result : Theorem 8.32s 3.84s
% Output : Refutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 15 |; 2 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4063,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_4063) ).
fof(f27789,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x46_y9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_27789) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query198) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
! [X0] :
( ~ borderson(c_georegion_l4_x45_y9,X0)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44224,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44225,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44224]) ).
fof(f44229,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x46_y9)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f27789]) ).
fof(f44237,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44238,plain,
! [X0] : ~ borderson(c_georegion_l4_x45_y9,X0),
inference(cnf_transformation,[],[f44223]) ).
fof(f44239,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44225]) ).
fof(f44249,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f4063]) ).
fof(f44252,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x46_y9)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f44229]) ).
fof(f44264,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44266,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f44264]) ).
fof(f44279,definition,
( spl0_4
<=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x46_y9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44281,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x46_y9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44279]) ).
fof(f44282,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f44252,f44279,f44264]) ).
fof(f44291,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member1_mt) ),
inference(resolution,[],[f44239,f44249]) ).
fof(f44294,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(forward_subsumption_resolution,[],[f44291,f44237]) ).
fof(f44297,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f44294,f44266]) ).
fof(f44298,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f44297]) ).
fof(f44301,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f44281,f44238]) ).
fof(f44302,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f44301]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f44282]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44298]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f44302]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s4,s7,s5]) ).
fof(f44303,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR048+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.30 % Computer : n026.cluster.edu
% 0.27/0.30 % Model : x86_64 x86_64
% 0.27/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.30 % Memory : 8046.5625MB
% 0.27/0.30 % OS : Linux 6.8.0-71-generic
% 0.27/0.30 % CPULimit : 300
% 0.27/0.30 % WCLimit : 300
% 0.27/0.30 % DateTime : Mon Sep 28 22:19:57 UTC 2026
% 0.27/0.30 % CPUTime :
% 0.27/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.36 Running first-order theorem proving
% 0.27/0.36 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
% 8.32/3.84 % (151740)Detected formulas, will run a generic FOF schedule.
% 8.32/3.84 % (151752)dis-21_1_sil=8000:lcm=predicate:random_seed=3453617946:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2984 on theBenchmark for (2984ds/129Mi)
% 8.32/3.84 % (151749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4162700613:i=109:sd=1:ins=1:gsp=on:ss=axioms_2984 on theBenchmark for (2984ds/109Mi)
% 8.32/3.84 % (151746)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=1748773060:i=141193_2984 on theBenchmark for (2984ds/141193Mi)
% 8.32/3.84 % (151750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2908876710:i=119:av=off:ss=axioms_2984 on theBenchmark for (2984ds/119Mi)
% 8.32/3.84 % (151748)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=1742748705:i=141695:sd=1:nm=32:gsp=on:ss=included_2984 on theBenchmark for (2984ds/141695Mi)
% 8.32/3.84 % (151747)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=927053850:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2984 on theBenchmark for (2984ds/134677Mi)
% 8.32/3.84 % (151751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1547859539:s2a=on:i=139:gtg=position_2984 on theBenchmark for (2984ds/139Mi)
% 8.32/3.84 % (151752)Instruction limit reached!
% 8.32/3.84 % (151752)------------------------------
% 8.32/3.84 % (151752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151752)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151752)Termination reason: Instruction limit
% 8.32/3.84 % (151752)Termination phase: SInE selection
% 8.32/3.84 % (151752)Time elapsed: 0.073 s
% 8.32/3.84 % (151752)Peak memory usage: 111 MB
% 8.32/3.84 % (151752)Instructions burned: 129 (million)
% 8.32/3.84 % (151749)Instruction limit reached!
% 8.32/3.84 % (151749)------------------------------
% 8.32/3.84 % (151749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151749)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151749)Termination reason: Instruction limit
% 8.32/3.84 % (151749)Termination phase: Saturation
% 8.32/3.84 % (151749)Time elapsed: 0.122 s
% 8.32/3.84 % (151749)Peak memory usage: 117 MB
% 8.32/3.84 % (151749)Instructions burned: 110 (million)
% 8.32/3.84 % (151750)Instruction limit reached!
% 8.32/3.84 % (151750)------------------------------
% 8.32/3.84 % (151750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151750)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151750)Termination reason: Instruction limit
% 8.32/3.84 % (151750)Termination phase: Saturation
% 8.32/3.84 % (151750)Time elapsed: 0.127 s
% 8.32/3.84 % (151750)Peak memory usage: 116 MB
% 8.32/3.84 % (151750)Instructions burned: 120 (million)
% 8.32/3.84 % (151751)Instruction limit reached!
% 8.32/3.84 % (151751)------------------------------
% 8.32/3.84 % (151751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151751)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151751)Termination reason: Instruction limit
% 8.32/3.84 % (151751)Termination phase: Property scanning
% 8.32/3.84 % (151751)Time elapsed: 0.119 s
% 8.32/3.84 % (151751)Peak memory usage: 111 MB
% 8.32/3.84 % (151751)Instructions burned: 140 (million)
% 8.32/3.84 % (151760)lrs+10_1_sil=8000:sp=occurrence:random_seed=987467393:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 8.32/3.84 % (151760)First to succeed.
% 8.32/3.84 % (151760)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-151740"
% 8.32/3.84 % (151761)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1363874514:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 8.32/3.84 % (151762)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3778194109:i=325:sd=1:ss=axioms:sgt=32_2980 on theBenchmark for (2980ds/325Mi)
% 8.32/3.84 % (151763)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3125293919:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 8.32/3.84 % (151761)Instruction limit reached!
% 8.32/3.84 % (151761)------------------------------
% 8.32/3.84 % (151761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151761)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151761)Termination reason: Instruction limit
% 8.32/3.84 % (151761)Termination phase: Property scanning
% 8.32/3.84 % (151761)Time elapsed: 0.133 s
% 8.32/3.84 % (151761)Peak memory usage: 111 MB
% 8.32/3.84 % (151761)Instructions burned: 158 (million)
% 8.32/3.84 % (151762)Also succeeded, but the first one will report.
% 8.32/3.84 % (151760)Refutation found. Thanks to Tanya!
% 8.32/3.84 % SZS status Theorem for theBenchmark
% 8.32/3.84 % SZS output start Proof for theBenchmark
% See solution above
% 8.32/3.84 % (151760)------------------------------
% 8.32/3.84 % (151760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/3.84 % (151760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/3.84 % (151760)CaDiCaL version: 2.1.3
% 8.32/3.84 % (151760)Termination reason: Refutation
% 8.32/3.84 % (151760)Time elapsed: 0.082 s
% 8.32/3.84 % (151760)Peak memory usage: 120 MB
% 8.32/3.84 % (151760)Instructions burned: 113 (million)
% 8.32/3.84 % (151760)------------------------------
% 8.32/3.84 % (151760)------------------------------
% 8.32/3.84 % (151740)Success in time 2.332 s
% 8.32/3.84 % Vampire exiting
%------------------------------------------------------------------------------