%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 01:05:21 PM UTC 2026
% Result : Theorem 6.77s 1.43s
% Output : Proof 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 63 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 28 ~; 18 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f12_nnf,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi12,axiom,
ifeq(mtvisible(c_tptpgeo_member7_mt),true,geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
fof(f65,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query37) ).
fof(f65_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f65_nnf,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(nnf_transformation,[status(thm)],[f65_neg]) ).
fof(f65_sk,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(hi64,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt) = true,
inference(equality_encoding,[status(esa)],[c65]) ).
cnf(h18,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi64]) ).
fof(f11,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi11,axiom,
ifeq(mtvisible(c_tptpgeo_member7_mt),true,geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h19,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) = true,
inference(hyper_resolution,[status(thm)],[hi11,hi64]) ).
fof(f33,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f33_nnf,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi32,axiom,
ifeq(geographicalsubregions(X0,X1),true,ifeq(geographicalsubregions(X1,X2),true,geographicalsubregions(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h43,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) = true,
inference(hyper_resolution,[status(thm)],[hi32,h19,h18]) ).
cnf(c66,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(hi66,negated_conjecture,
ifeq(geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c66]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi66,h43]) ).
cnf(t535,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f13,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(f13_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c13,c66]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t535]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 08:21:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.77/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.77/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------