%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 01:17:01 PM UTC 2026
% Result : Unsatisfiable 47.51s 6.60s
% Output : Proof 47.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 24 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 190 ( 91 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 113 ( 8 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f23,axiom,
( incident_c(A,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_24) ).
fof(f23_nnf,plain,
! [A,B,C] :
( incident_c(A,B)
| ~ meet(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [A,B,C] :
( incident_c(A,B)
| ~ meet(A,B,C) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(f48,negated_conjecture,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_67) ).
fof(f48_nnf,plain,
meet(sk17,sk15,sk16),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
meet(sk17,sk15,sk16),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(p434,plain,
incident_c(sk17,sk15),
inference(resolution,[status(thm)],[c23,c48]) ).
cnf(f13,axiom,
( part_of(D,C)
| part_of(C,D)
| ~ incident_c(A,D)
| ~ incident_c(A,C)
| ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_14) ).
fof(f13_nnf,plain,
! [A,B,C,D] :
( part_of(D,C)
| part_of(C,D)
| ~ incident_c(A,D)
| ~ incident_c(A,C)
| ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B,C,D] :
( part_of(D,C)
| part_of(C,D)
| ~ incident_c(A,D)
| ~ incident_c(A,C)
| ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f51,negated_conjecture,
end_point(sk17,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_70) ).
fof(f51_nnf,plain,
end_point(sk17,sk14),
inference(nnf_transformation,[status(thm)],[f51]) ).
cnf(c51,plain,
end_point(sk17,sk14),
inference(cnf_transformation,[status(esa)],[f51_nnf]) ).
cnf(p115,plain,
( part_of(X1,X0)
| part_of(X0,X1)
| ~ incident_c(sk17,X1)
| ~ incident_c(sk17,X0)
| ~ part_of(X1,sk14)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[c13,c51]) ).
cnf(f49,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_68) ).
fof(f49_nnf,plain,
part_of(sk15,sk14),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(p119,plain,
( part_of(X0,sk15)
| part_of(sk15,X0)
| ~ incident_c(sk17,X0)
| ~ incident_c(sk17,sk15)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[p115,c49]) ).
cnf(f50,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_69) ).
fof(f50_nnf,plain,
part_of(sk16,sk14),
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c50,plain,
part_of(sk16,sk14),
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(p121,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ incident_c(sk17,sk16)
| ~ incident_c(sk17,sk15) ),
inference(resolution,[status(thm)],[p119,c50]) ).
cnf(p438,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ incident_c(sk17,sk16) ),
inference(resolution,[status(thm)],[p434,p121]) ).
cnf(f24,axiom,
( incident_c(A,C)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_25) ).
fof(f24_nnf,plain,
! [A,B,C] :
( incident_c(A,C)
| ~ meet(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A,B,C] :
( incident_c(A,C)
| ~ meet(A,B,C) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p445,plain,
incident_c(sk17,sk16),
inference(resolution,[status(thm)],[c24,c48]) ).
cnf(p486,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16) ),
inference(resolution,[status(thm)],[p438,p445]) ).
cnf(f0,axiom,
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f0_nnf,plain,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p487,plain,
( incident_c(X0,sk15)
| ~ incident_c(X0,sk16)
| part_of(sk15,sk16) ),
inference(resolution,[status(thm)],[p486,c0]) ).
cnf(f20,axiom,
( incident_c(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f20_nnf,plain,
! [A,B] :
( incident_c(A,B)
| ~ inner_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A,B] :
( incident_c(A,B)
| ~ inner_point(A,B) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(f36,axiom,
inner_point(ax0_sk8(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
fof(f36_nnf,plain,
! [A] : inner_point(ax0_sk8(A),A),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [A] : inner_point(ax0_sk8(A),A),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p59,plain,
incident_c(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[c20,c36]) ).
cnf(p782,plain,
( incident_c(ax0_sk8(sk16),sk15)
| part_of(sk15,sk16) ),
inference(resolution,[status(thm)],[p487,p59]) ).
cnf(f26,axiom,
( end_point(D,C)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_27) ).
fof(f26_nnf,plain,
! [A,B,C,D] :
( end_point(D,C)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [A,B,C,D] :
( end_point(D,C)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( end_point(X3,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p485,plain,
( end_point(X0,sk16)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[c26,c48]) ).
cnf(p805,plain,
( end_point(ax0_sk8(sk16),sk16)
| ~ incident_c(ax0_sk8(sk16),sk16)
| part_of(sk15,sk16) ),
inference(resolution,[status(thm)],[p782,p485]) ).
cnf(p11238,plain,
( end_point(ax0_sk8(sk16),sk16)
| part_of(sk15,sk16) ),
inference(resolution,[status(thm)],[p805,p59]) ).
cnf(f21,axiom,
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f21_nnf,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p64,plain,
~ end_point(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[c21,c36]) ).
cnf(p11239,plain,
part_of(sk15,sk16),
inference(resolution,[status(thm)],[p11238,p64]) ).
cnf(p11252,plain,
( incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[p11239,c0]) ).
cnf(p11256,plain,
incident_c(ax0_sk8(sk15),sk16),
inference(resolution,[status(thm)],[p11252,p59]) ).
cnf(f25,axiom,
( end_point(D,B)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_26) ).
fof(f25_nnf,plain,
! [A,B,C,D] :
( end_point(D,B)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [A,B,C,D] :
( end_point(D,B)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p468,plain,
( end_point(X0,sk15)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[c25,c48]) ).
cnf(p534,plain,
( end_point(ax0_sk8(sk15),sk15)
| ~ incident_c(ax0_sk8(sk15),sk16) ),
inference(resolution,[status(thm)],[p468,p59]) ).
cnf(p11308,plain,
end_point(ax0_sk8(sk15),sk15),
inference(resolution,[status(thm)],[p11256,p534]) ).
cnf(p11329,plain,
$false,
inference(resolution,[status(thm)],[p11308,p64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.33 % Computer : n019.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Wed Sep 23 10:50:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 47.51/6.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.51/6.60 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------