%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO093-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:19:18 PM UTC 2026
% Result : Unsatisfiable 20.36s 12.43s
% Output : CNFRefutation 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of clauses : 76 ( 14 unt; 35 nHn; 45 RR)
% Number of literals : 180 ( 34 equ; 58 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 146 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sum_defn_5,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(sum_defn_6,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(inner_point_defn_23,axiom,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(closed_defn_31,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
cnf(c1_35,axiom,
( X1 = X2
| open(X1)
| ~ part_of(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c1_35) ).
cnf(open_defn_34,axiom,
( open(X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',open_defn_34) ).
cnf(closed_defn_32,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(proposition_2_14_2_69,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_69) ).
cnf(c9_45,axiom,
( incident_c(ax0_sk13(X1,X2),X2)
| incident_c(ax0_sk13(X1,X2),X1)
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_45) ).
cnf(c9_48,axiom,
( X2 = X1
| ~ incident_c(ax0_sk13(X1,X2),X1)
| ~ incident_c(ax0_sk13(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_48) ).
cnf(inner_point_defn_21,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(sum_defn_7,axiom,
( incident_c(ax0_sk2(X1,X2,X3),X3)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| X3 = sum(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_7) ).
cnf(sum_defn_4,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(sum_defn_11,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_11) ).
cnf(proposition_2_14_2_71,negated_conjecture,
~ open(sum(sk15,sk16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_71) ).
cnf(proposition_2_14_2_68,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_68) ).
cnf(proposition_2_14_2_67,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_67) ).
cnf(c_0_20,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
sum_defn_5 ).
cnf(c_0_21,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
sum_defn_6 ).
cnf(c_0_22,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_23,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_24,axiom,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inner_point_defn_23 ).
cnf(c_0_25,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_28,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
closed_defn_31 ).
cnf(c_0_29,plain,
( inner_point(X1,sum(X2,X3))
| end_point(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,axiom,
( X1 = X2
| open(X1)
| ~ part_of(X1,X2) ),
c1_35 ).
cnf(c_0_31,plain,
part_of(X1,sum(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,axiom,
( open(X2)
| ~ end_point(X1,X2) ),
open_defn_34 ).
cnf(c_0_33,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
closed_defn_32 ).
cnf(c_0_34,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_35,negated_conjecture,
part_of(sk16,sk14),
proposition_2_14_2_69 ).
cnf(c_0_36,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_37,axiom,
( incident_c(ax0_sk13(X1,X2),X2)
| incident_c(ax0_sk13(X1,X2),X1)
| X2 = X1 ),
c9_45 ).
cnf(c_0_38,plain,
( inner_point(X1,sum(X2,X3))
| ~ closed(sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( sum(X1,X2) = X1
| open(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
( open(X1)
| closed(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( incident_c(X1,sk14)
| ~ incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
part_of(X1,sum(X2,X1)),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_43,axiom,
( X2 = X1
| ~ incident_c(ax0_sk13(X1,X2),X1)
| ~ incident_c(ax0_sk13(X1,X2),X2) ),
c9_48 ).
cnf(c_0_44,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inner_point_defn_21 ).
cnf(c_0_45,plain,
( X1 = X2
| inner_point(ax0_sk13(X1,X2),X2)
| end_point(ax0_sk13(X1,X2),X2)
| incident_c(ax0_sk13(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_37]) ).
cnf(c_0_46,plain,
( open(X1)
| inner_point(X2,X1)
| ~ incident_c(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( incident_c(ax0_sk1(sk16,X1),sk14)
| part_of(sk16,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_27]) ).
cnf(c_0_48,axiom,
( incident_c(ax0_sk2(X1,X2,X3),X3)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| X3 = sum(X2,X1) ),
sum_defn_7 ).
cnf(c_0_49,plain,
( sum(X1,X2) = X2
| open(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ inner_point(ax0_sk13(X1,X2),X2)
| ~ incident_c(ax0_sk13(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( X1 = X2
| open(X2)
| inner_point(ax0_sk13(X1,X2),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_45]),c_0_46]) ).
cnf(c_0_52,negated_conjecture,
part_of(sk16,sum(sk14,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_47]) ).
cnf(c_0_53,plain,
( X1 = sum(X2,X2)
| incident_c(ax0_sk2(X2,X2,X1),X1)
| incident_c(ax0_sk2(X2,X2,X1),X2) ),
inference(ef,[status(thm)],[c_0_48]) ).
cnf(c_0_54,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
sum_defn_4 ).
cnf(c_0_55,plain,
( open(X1)
| part_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_56,plain,
( X1 = X2
| open(X2)
| ~ incident_c(ax0_sk13(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( incident_c(X1,sum(sk14,X2))
| ~ incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_58,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
sum_defn_11 ).
cnf(c_0_59,plain,
( sum(X1,X1) = X1
| incident_c(ax0_sk2(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
~ open(sum(sk15,sk16)),
proposition_2_14_2_71 ).
cnf(c_0_62,plain,
( X1 = X2
| open(X2)
| open(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
part_of(sk15,sk14),
proposition_2_14_2_68 ).
cnf(c_0_64,negated_conjecture,
( sum(sk14,X1) = X2
| open(X2)
| ~ incident_c(ax0_sk13(sum(sk14,X1),X2),sk16) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).
cnf(c_0_66,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk13(X1,sum(X2,X3)),X1)
| incident_c(ax0_sk13(X1,sum(X2,X3)),X2)
| incident_c(ax0_sk13(X1,sum(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_67,negated_conjecture,
( sum(sk15,sk16) = X1
| open(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( incident_c(X1,sk14)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_34,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( sk14 = X1
| open(X1)
| ~ incident_c(ax0_sk13(sk14,X1),sk16) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( X1 = X2
| open(X2)
| incident_c(ax0_sk13(X1,X2),sk16)
| incident_c(ax0_sk13(X1,X2),sk15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_56]) ).
cnf(c_0_71,negated_conjecture,
( sk14 = X1
| open(X1)
| ~ incident_c(ax0_sk13(sk14,X1),sk15) ),
inference(spm,[status(thm)],[c_0_56,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( sk14 = X1
| open(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_73,negated_conjecture,
sum(sk15,sk16) = sk14,
inference(spm,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_74,negated_conjecture,
open(sk14),
proposition_2_14_2_67 ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_73]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO093-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:39:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 20.36/12.43 % Version : CSE_E---1.7
% 20.36/12.43 % Problem : theBenchmark.p
% 20.36/12.43 % SZS status Unsatisfiable for theBenchmark.p
% 20.36/12.43 % SZS output start CNFRefutation
% See solution above
% 20.46/12.50 % Total time : 9.380s
%------------------------------------------------------------------------------