%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR074+3 : 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 : n018.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 09:42:39 AM UTC 2026
% Result : Theorem 2.13s 1.81s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 15 unt; 6 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 62 ~; 58 |; 5 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1779,axiom,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1779) ).
fof(f1884,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1884) ).
fof(f2324,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2324) ).
fof(f2354,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2354) ).
fof(f2967,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2967) ).
fof(f3406,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3406) ).
fof(f7302,axiom,
! [X0,X1,X2] :
( ( inregion(X0,X1)
& inregion(X1,X2) )
=> inregion(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7302) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query174) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8047,plain,
( ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) )
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8048,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8049,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8048]) ).
fof(f8053,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(ennf_transformation,[],[f7302]) ).
fof(f8054,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(flattening,[],[f8053]) ).
fof(f8060,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f2967]) ).
fof(f8067,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f3406]) ).
fof(f8069,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f1884]) ).
fof(f8071,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f2354]) ).
fof(f8214,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f8047]) ).
fof(f8215,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ),
inference(cnf_transformation,[],[f8047]) ).
fof(f8216,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8049]) ).
fof(f8221,plain,
! [X2,X0,X1] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(cnf_transformation,[],[f8054]) ).
fof(f8227,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[],[f8060]) ).
fof(f8233,plain,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f1779]) ).
fof(f8239,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f8067]) ).
fof(f8241,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f8069]) ).
fof(f8243,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f8071]) ).
fof(f8311,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f2324]) ).
fof(f8512,definition,
( spl0_14
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f8513,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_14 ),
inference(avatar_component_clause,[],[f8512]) ).
fof(f8527,definition,
( spl0_18
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f8528,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| spl0_18 ),
inference(avatar_component_clause,[],[f8527]) ).
fof(f8540,definition,
( spl0_21
<=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f8541,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f8540]) ).
fof(f8543,plain,
( ~ spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f8243,f8540,f8527]) ).
fof(f8545,definition,
( spl0_22
<=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f8546,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f8545]) ).
fof(f8548,plain,
( ~ spl0_18
| spl0_22 ),
inference(avatar_split_clause,[],[f8241,f8545,f8527]) ).
fof(f8550,definition,
( spl0_23
<=> geolevel_3(c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f8553,plain,
( ~ spl0_14
| spl0_23 ),
inference(avatar_split_clause,[],[f8239,f8550,f8512]) ).
fof(f8570,definition,
( spl0_27
<=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f8571,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| spl0_27 ),
inference(avatar_component_clause,[],[f8570]) ).
fof(f8572,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f8215,f8570,f8550]) ).
fof(f8573,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f8528,f8214]) ).
fof(f8574,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f8573]) ).
fof(f8722,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_worldgeographymt) )
| spl0_14 ),
inference(resolution,[],[f8216,f8513]) ).
fof(f8731,plain,
( ! [X0,X1] :
( ~ mtvisible(X1)
| ~ genlmt(X0,c_worldgeographymt)
| ~ genlmt(X1,X0) )
| spl0_14 ),
inference(resolution,[],[f8722,f8216]) ).
fof(f8750,plain,
( ! [X0] :
( ~ genlmt(X0,c_worldgeographymt)
| ~ genlmt(c_tptpgeo_member7_mt,X0) )
| spl0_14 ),
inference(resolution,[],[f8731,f8214]) ).
fof(f8754,plain,
( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| spl0_14 ),
inference(resolution,[],[f8750,f8233]) ).
fof(f8763,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f8754,f8311]) ).
fof(f8764,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f8763]) ).
fof(f11845,plain,
( ! [X0] :
( ~ inregion(c_geolocation_x53_y74,X0)
| ~ inregion(X0,c_georegion_l3_x17_y24) )
| spl0_27 ),
inference(resolution,[],[f8221,f8571]) ).
fof(f11846,plain,
( ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ spl0_21
| spl0_27 ),
inference(resolution,[],[f11845,f8541]) ).
fof(f11852,plain,
( ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ spl0_21
| spl0_27 ),
inference(resolution,[],[f11846,f8227]) ).
fof(f11855,plain,
( $false
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(resolution,[],[f11852,f8546]) ).
fof(f11856,plain,
( ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f11855]) ).
cnf(s21,plain,
( ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f8543]) ).
cnf(s23,plain,
( ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f8548]) ).
cnf(s25,plain,
( ~ spl0_14
| spl0_23 ),
inference(sat_conversion,[],[f8553]) ).
cnf(s31,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f8572]) ).
cnf(s32,plain,
spl0_18,
inference(sat_conversion,[],[f8574]) ).
cnf(s33,plain,
spl0_14,
inference(sat_conversion,[],[f8764]) ).
cnf(s152,plain,
( ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(sat_conversion,[],[f11856]) ).
cnf(s156,plain,
spl0_23,
inference(rat,[],[s25,s33]) ).
cnf(s157,plain,
~ spl0_27,
inference(rat,[],[s31,s156]) ).
cnf(s158,plain,
spl0_22,
inference(rat,[],[s23,s32]) ).
cnf(s159,plain,
~ spl0_21,
inference(rat,[],[s152,s157,s158]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s21,s159,s32]) ).
fof(f11857,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR074+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 % Computer : n018.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Sep 28 22:27:40 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.30/0.35 Running first-order theorem proving
% 0.30/0.35 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
% 2.13/1.81 % (3867637)Detected formulas, will run a generic FOF schedule.
% 2.13/1.81 % (3867654)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=196377421:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 2.13/1.81 % (3867651)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=4292030764:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 2.13/1.81 % (3867655)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3013348446:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 2.13/1.81 % (3867652)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=1693520556:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 2.13/1.81 % (3867653)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=1474331527:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 2.13/1.81 % (3867657)dis-21_1_sil=8000:lcm=predicate:random_seed=1270021328:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 2.13/1.81 % (3867654)Refutation not found, incomplete strategy
% 2.13/1.81 % (3867654)------------------------------
% 2.13/1.81 % (3867654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.81 % (3867654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.81 % (3867654)CaDiCaL version: 2.1.3
% 2.13/1.81 % (3867654)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.81 % (3867654)Time elapsed: 0.015 s
% 2.13/1.81 % (3867654)Peak memory usage: 93 MB
% 2.13/1.81 % (3867654)Instructions burned: 24 (million)
% 2.13/1.81 % (3867656)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=619572617:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 2.13/1.81 % (3867655)Instruction limit reached!
% 2.13/1.81 % (3867655)------------------------------
% 2.13/1.81 % (3867655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.81 % (3867657)First to succeed.
% 2.13/1.81 % (3867655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.81 % (3867655)CaDiCaL version: 2.1.3
% 2.13/1.81 % (3867655)Termination reason: Instruction limit
% 2.13/1.81 % (3867655)Termination phase: Saturation
% 2.13/1.81 % (3867655)Time elapsed: 0.062 s
% 2.13/1.81 % (3867655)Peak memory usage: 93 MB
% 2.13/1.81 % (3867655)Instructions burned: 120 (million)
% 2.13/1.81 % (3867657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3867637"
% 2.13/1.81 % (3867656)Instruction limit reached!
% 2.13/1.81 % (3867656)------------------------------
% 2.13/1.81 % (3867656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.81 % (3867656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.81 % (3867656)CaDiCaL version: 2.1.3
% 2.13/1.81 % (3867656)Termination reason: Instruction limit
% 2.13/1.81 % (3867656)Termination phase: Property scanning
% 2.13/1.81 % (3867656)Time elapsed: 0.084 s
% 2.13/1.81 % (3867656)Peak memory usage: 93 MB
% 2.13/1.81 % (3867656)Instructions burned: 140 (million)
% 2.13/1.81 % (3867654)------------------------------
% 2.13/1.81 % (3867654)------------------------------
% 2.13/1.81 % (3867665)lrs+10_1_sil=8000:sp=occurrence:random_seed=2052535247:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 2.13/1.81 % (3867665)Refutation not found, incomplete strategy
% 2.13/1.81 % (3867665)------------------------------
% 2.13/1.81 % (3867665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.81 % (3867665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.81 % (3867665)CaDiCaL version: 2.1.3
% 2.13/1.81 % (3867665)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.81 % (3867665)Time elapsed: 0.017 s
% 2.13/1.81 % (3867665)Peak memory usage: 94 MB
% 2.13/1.81 % (3867665)Instructions burned: 20 (million)
% 2.13/1.81 % (3867666)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1244796161:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 2.13/1.81 % (3867657)Refutation found. Thanks to Tanya!
% 2.13/1.81 % SZS status Theorem for theBenchmark
% 2.13/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 4.64/1.91 % (3867657)------------------------------
% 4.64/1.91 % (3867657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.91 % (3867657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.91 % (3867657)CaDiCaL version: 2.1.3
% 4.64/1.91 % (3867657)Termination reason: Refutation
% 4.64/1.91 % (3867657)Time elapsed: 0.064 s
% 4.64/1.91 % (3867657)Peak memory usage: 96 MB
% 4.64/1.91 % (3867657)Instructions burned: 113 (million)
% 4.64/1.91 % (3867657)------------------------------
% 4.64/1.91 % (3867657)------------------------------
% 4.64/1.91 % (3867637)Success in time 0.737 s
% 4.64/1.91 % Vampire exiting
%------------------------------------------------------------------------------