%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR059+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 : n009.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 01:05:36 PM UTC 2026
% Result : Theorem 4.09s 0.95s
% Output : Proof 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 39 unt; 0 def)
% Number of atoms : 103 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 47 ~; 24 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 57 ( 4 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [ARG1,INS] :
( genlmt(ARG1,INS)
=> microtheory(INS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
fof(f32_nnf,plain,
! [ARG1,INS] :
( microtheory(INS)
| ~ genlmt(ARG1,INS) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [ARG1,INS] :
( microtheory(INS)
| ~ genlmt(ARG1,INS) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( microtheory(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(hi30,axiom,
ifeq(genlmt(X0,X1),true,microtheory(X1),true) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
fof(f0,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f0_nnf,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h1,plain,
microtheory(c_tptpgeo_member5_mt) = true,
inference(hyper_resolution,[status(thm)],[hi30,hi0]) ).
fof(f37,axiom,
! [X] :
( microtheory(X)
=> genlmt(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
fof(f37_nnf,plain,
! [X] :
( genlmt(X,X)
| ~ microtheory(X) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X] :
( genlmt(X,X)
| ~ microtheory(X) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( genlmt(X0,X0)
| ~ microtheory(X0) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(hi35,axiom,
ifeq(microtheory(X0),true,genlmt(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(t11,plain,
genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt) = true,
inference(hyper_resolution,[status(thm)],[hi35,h1]) ).
cnf(t82,plain,
genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt) = true,
inference(orient,[status(thm)],[t11]) ).
fof(f30,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f30_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi28,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
fof(f39,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query59) ).
fof(f39_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f39_nnf,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f39_neg]) ).
fof(f39_sk,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi37,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(h2,plain,
mtvisible(c_tptpgeo_member5_mt) = true,
inference(hyper_resolution,[status(thm)],[hi28,hi37,hi0]) ).
fof(f1,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
fof(f1_nnf,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t9,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) = true,
inference(hyper_resolution,[status(thm)],[hi1,h2]) ).
cnf(t105,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(h5,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) = true,
inference(hyper_resolution,[status(thm)],[hi1,h2]) ).
fof(f28,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f28_nnf,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(hi27,axiom,
ifeq(borderson(X0,X1),true,borderson(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(t10,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) = true,
inference(hyper_resolution,[status(thm)],[hi27,h5]) ).
cnf(t111,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t14,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t52,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t14]) ).
fof(f2,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
fof(f2_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f29,axiom,
! [X] : ~ borderson(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
fof(f29_nnf,plain,
! [X] : ~ borderson(X,X),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] : ~ borderson(X,X),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
~ borderson(X0,X0),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(c40,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c29,c40]) ).
cnf(g0_0,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,false,true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true)),
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true)),
inference(rw,[status(thm)],[g0_1,t82]) ).
cnf(g0_3,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47))),
inference(rw,[status(thm)],[g0_2,t105]) ).
cnf(g0_4,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47))),
inference(rw,[status(thm)],[g0_3,t105]) ).
cnf(g0_5,plain,
true != ifeq(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47))),
inference(rw,[status(thm)],[g0_4,t111]) ).
cnf(g0_6,plain,
true != ifeq(true,genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47))),
inference(rw,[status(thm)],[g0_5,t111]) ).
cnf(g0_7,plain,
true != ifeq(true,genlmt(c_tptpgeo_member5_mt,c_tptpgeo_member5_mt),false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true)),
inference(rw,[status(thm)],[g0_6,t105]) ).
cnf(g0_8,plain,
true != ifeq(true,true,false,ifeq(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true)),
inference(rw,[status(thm)],[g0_7,t82]) ).
cnf(g0_9,plain,
true != false,
inference(rw,[status(thm)],[g0_8,t52]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR059+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 : n009.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 08:43:44 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.09/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.09/0.95 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------