%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:05:18 PM UTC 2026
% Result : Theorem 7.40s 1.47s
% Output : Proof 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 48 unt; 0 def)
% Number of atoms : 170 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 134 ( 61 ~; 51 |; 10 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 77 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X,Y,Z] :
( ( genlmt(Y,Z)
& genlmt(X,Y) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).
fof(f57_nnf,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
( genlmt(X0,X2)
| ~ genlmt(X1,X2)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(hi56,axiom,
ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c57]) ).
fof(f9,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f9_nnf,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi9,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
fof(f7,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h14,plain,
genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) = true,
inference(hyper_resolution,[status(thm)],[hi56,hi9,hi7]) ).
fof(f52,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
fof(f52_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi51,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
fof(f61,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( geolevel_1(c_georegion_l1_x2_y0)
& inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query33) ).
fof(f61_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( geolevel_1(c_georegion_l1_x2_y0)
& inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f61_nnf,plain,
( ( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) )
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f61_neg]) ).
fof(f61_sk,plain,
( ( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) )
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f61_nnf]) ).
cnf(c61,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(hi60,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c61]) ).
fof(f10,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h17,plain,
mtvisible(c_tptpgeo_member8_mt) = true,
inference(hyper_resolution,[status(thm)],[hi51,hi60,hi10]) ).
cnf(h38,plain,
mtvisible(c_worldgeographymt) = true,
inference(hyper_resolution,[status(thm)],[hi51,h17,h14]) ).
fof(f11,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi11,axiom,
ifeq(mtvisible(c_worldgeographymt),true,geolevel_1(c_georegion_l1_x2_y0),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h47,plain,
geolevel_1(c_georegion_l1_x2_y0) = true,
inference(hyper_resolution,[status(thm)],[hi11,h38]) ).
fof(f8,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h18,plain,
mtvisible(c_tptpgeo_member2_mt) = true,
inference(hyper_resolution,[status(thm)],[hi51,hi60,hi8]) ).
fof(f13,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f13_nnf,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
ifeq(mtvisible(c_tptpgeo_member2_mt),true,geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h41,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) = true,
inference(hyper_resolution,[status(thm)],[hi13,h18]) ).
fof(f12,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f12_nnf,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi12,axiom,
ifeq(mtvisible(c_tptpgeo_member2_mt),true,geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h42,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) = true,
inference(hyper_resolution,[status(thm)],[hi12,h18]) ).
fof(f34,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
fof(f34_nnf,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(hi33,axiom,
ifeq(geographicalsubregions(X0,X1),true,ifeq(geographicalsubregions(X1,X2),true,geographicalsubregions(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(h58,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l3_x25_y7) = true,
inference(hyper_resolution,[status(thm)],[hi33,h42,h41]) ).
fof(f4,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
fof(f4_nnf,plain,
! [ARG1,ARG2] :
( inregion(ARG2,ARG1)
| ~ geographicalsubregions(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [ARG1,ARG2] :
( inregion(ARG2,ARG1)
| ~ geographicalsubregions(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,axiom,
ifeq(geographicalsubregions(X0,X1),true,inregion(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h72,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) = true,
inference(hyper_resolution,[status(thm)],[hi4,h58]) ).
fof(f14,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
fof(f14_nnf,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,axiom,
ifeq(mtvisible(c_tptpgeo_member2_mt),true,geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h40,plain,
geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) = true,
inference(hyper_resolution,[status(thm)],[hi14,h18]) ).
cnf(h53,plain,
inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7) = true,
inference(hyper_resolution,[status(thm)],[hi4,h40]) ).
fof(f15,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
fof(f15_nnf,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi15,axiom,
ifeq(mtvisible(c_tptpgeo_member2_mt),true,inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(h39,plain,
inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) = true,
inference(hyper_resolution,[status(thm)],[hi15,h18]) ).
fof(f44,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
fof(f44_nnf,plain,
! [X,Y,Z] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X,Y,Z] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( inregion(X0,X2)
| ~ inregion(X1,X2)
| ~ inregion(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(hi43,axiom,
ifeq(inregion(X0,X1),true,ifeq(inregion(X1,X2),true,inregion(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(h66,plain,
inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) = true,
inference(hyper_resolution,[status(thm)],[hi43,h39,h53]) ).
cnf(h79,plain,
inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) = true,
inference(hyper_resolution,[status(thm)],[hi43,h66,h72]) ).
cnf(c62,plain,
( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(hi62,negated_conjecture,
ifeq(inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),true,ifeq(geolevel_1(c_georegion_l1_x2_y0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c62]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi62,h79,h47]) ).
cnf(t721,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f16,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
fof(f16_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c16,c62]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t721]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 08:19:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.40/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.40/1.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
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