%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR059+4 : 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 : n008.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 09:42:27 AM UTC 2026
% Result : Theorem 6.61s 2.55s
% Output : Refutation 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 11 unt; 2 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 18 |; 2 &)
% ( 2 <=>; 5 =>; 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 : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11126,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_11126) ).
fof(f15103,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_15103) ).
fof(f43084,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_43084) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query209) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& 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(f44226,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f43084]) ).
fof(f44230,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f15103]) ).
fof(f44240,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44241,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f44223]) ).
fof(f44242,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44225]) ).
fof(f44245,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f44226]) ).
fof(f44256,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[],[f44230]) ).
fof(f44269,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f11126]) ).
fof(f44293,definition,
( spl0_3
<=> mtvisible(c_tptpgeo_member5_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44295,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| spl0_3 ),
inference(avatar_component_clause,[],[f44293]) ).
fof(f44302,definition,
( spl0_5
<=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44304,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44302]) ).
fof(f44306,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f44256,f44302,f44293]) ).
fof(f44329,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member5_mt) ),
inference(resolution,[],[f44242,f44269]) ).
fof(f44332,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(forward_subsumption_resolution,[],[f44329,f44240]) ).
fof(f44362,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f44332,f44295]) ).
fof(f44363,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f44362]) ).
fof(f44373,plain,
( borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
| ~ spl0_5 ),
inference(resolution,[],[f44304,f44245]) ).
fof(f44376,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f44373,f44241]) ).
fof(f44377,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f44376]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f44306]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f44363]) ).
cnf(s16,plain,
~ spl0_5,
inference(sat_conversion,[],[f44377]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s4,s16,s10]) ).
fof(f44378,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR059+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:22:24 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 6.61/2.55 % (2725639)Detected formulas, will run a generic FOF schedule.
% 6.61/2.55 % (2725778)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3912757748:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 6.61/2.55 % (2725775)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=1766388770:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 6.61/2.55 % (2725777)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=625347317:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 6.61/2.55 % (2725776)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=1041159681:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 6.61/2.55 % (2725774)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=3570894414:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 6.61/2.55 % (2725778)Instruction limit reached!
% 6.61/2.55 % (2725778)------------------------------
% 6.61/2.55 % (2725778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725778)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725778)Termination reason: Instruction limit
% 6.61/2.55 % (2725778)Termination phase: Saturation
% 6.61/2.55 % (2725778)Time elapsed: 0.051 s
% 6.61/2.55 % (2725778)Peak memory usage: 116 MB
% 6.61/2.55 % (2725778)Instructions burned: 120 (million)
% 6.61/2.55 % (2725780)dis-21_1_sil=8000:lcm=predicate:random_seed=636285228:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 6.61/2.55 % (2725779)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2900579522:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 6.61/2.55 % (2725777)Instruction limit reached!
% 6.61/2.55 % (2725777)------------------------------
% 6.61/2.55 % (2725777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725777)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725777)Termination reason: Instruction limit
% 6.61/2.55 % (2725777)Termination phase: Saturation
% 6.61/2.55 % (2725777)Time elapsed: 0.092 s
% 6.61/2.55 % (2725777)Peak memory usage: 116 MB
% 6.61/2.55 % (2725777)Instructions burned: 110 (million)
% 6.61/2.55 % (2725780)Instruction limit reached!
% 6.61/2.55 % (2725780)------------------------------
% 6.61/2.55 % (2725780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725780)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725780)Termination reason: Instruction limit
% 6.61/2.55 % (2725780)Termination phase: SInE selection
% 6.61/2.55 % (2725780)Time elapsed: 0.104 s
% 6.61/2.55 % (2725780)Peak memory usage: 111 MB
% 6.61/2.55 % (2725780)Instructions burned: 129 (million)
% 6.61/2.55 % (2725779)Instruction limit reached!
% 6.61/2.55 % (2725779)------------------------------
% 6.61/2.55 % (2725779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725779)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725779)Termination reason: Instruction limit
% 6.61/2.55 % (2725779)Termination phase: Property scanning
% 6.61/2.55 % (2725779)Time elapsed: 0.076 s
% 6.61/2.55 % (2725779)Peak memory usage: 111 MB
% 6.61/2.55 % (2725779)Instructions burned: 139 (million)
% 6.61/2.55 % (2725787)lrs+10_1_sil=8000:sp=occurrence:random_seed=2280360438:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 6.61/2.55 % (2725787)First to succeed.
% 6.61/2.55 % (2725787)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2725639"
% 6.61/2.55 % (2725805)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=660116964:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 6.61/2.55 % (2725803)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2111274761:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 6.61/2.55 % (2725804)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4127174705:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 6.61/2.55 % (2725803)Instruction limit reached!
% 6.61/2.55 % (2725803)------------------------------
% 6.61/2.55 % (2725803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725803)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725803)Termination reason: Instruction limit
% 6.61/2.55 % (2725803)Termination phase: Property scanning
% 6.61/2.55 % (2725803)Time elapsed: 0.135 s
% 6.61/2.55 % (2725803)Peak memory usage: 110 MB
% 6.61/2.55 % (2725803)Instructions burned: 159 (million)
% 6.61/2.55 % (2725787)Refutation found. Thanks to Tanya!
% 6.61/2.55 % SZS status Theorem for theBenchmark
% 6.61/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 6.61/2.55 % (2725787)------------------------------
% 6.61/2.55 % (2725787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.55 % (2725787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.55 % (2725787)CaDiCaL version: 2.1.3
% 6.61/2.55 % (2725787)Termination reason: Refutation
% 6.61/2.55 % (2725787)Time elapsed: 0.081 s
% 6.61/2.55 % (2725787)Peak memory usage: 120 MB
% 6.61/2.55 % (2725787)Instructions burned: 113 (million)
% 6.61/2.55 % (2725787)------------------------------
% 6.61/2.55 % (2725787)------------------------------
% 6.61/2.55 % (2725639)Success in time 1.612 s
% 6.61/2.55 % Vampire exiting
%------------------------------------------------------------------------------