%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR067+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 : n003.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 01:05:41 PM UTC 2026
% Result : Theorem 2.96s 0.87s
% Output : Proof 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 53 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 12 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 2 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f0_nnf,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(mtvisible(c_tptpgeo_member7_mt),true,borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f29,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query67) ).
fof(f29_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f29_nnf,plain,
! [ARG1] :
( ~ borderson(ARG1,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(nnf_transformation,[status(thm)],[f29_neg]) ).
fof(f29_sk,plain,
! [ARG1] :
( ~ borderson(ARG1,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(hi27,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(h0,plain,
borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi27]) ).
fof(f27,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
fof(f27_nnf,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,axiom,
ifeq(borderson(X0,X1),true,borderson(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(h1,plain,
borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75) = true,
inference(hyper_resolution,[status(thm)],[hi26,h0]) ).
cnf(c30,plain,
~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(hi30,negated_conjecture,
ifeq(borderson(X0,c_georegion_l4_x29_y75),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi30,h1]) ).
cnf(t72,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f1,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
fof(f1_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f28,axiom,
! [X] : ~ borderson(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f28_nnf,plain,
! [X] : ~ borderson(X,X),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X] : ~ borderson(X,X),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
~ borderson(X0,X0),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c1,c28,c30]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t72]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n003.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 08:53:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.96/0.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.96/0.87 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------