%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO088-1 : 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 : n026.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 04:19:17 PM UTC 2026
% Result : Unsatisfiable 111.44s 74.42s
% Output : CNFRefutation 111.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of clauses : 81 ( 16 unt; 20 nHn; 64 RR)
% Number of literals : 206 ( 13 equ; 108 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 160 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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(theorem_2_10_67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_67) ).
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(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(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_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(c4_39,axiom,
( X2 = sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c4_39) ).
cnf(end_point_defn_14,axiom,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(theorem_2_10_68,negated_conjecture,
end_point(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_68) ).
cnf(meet_defn_25,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).
cnf(c4_38,axiom,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c4_38) ).
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(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(theorem_2_10_69,negated_conjecture,
incident_c(sk16,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_69) ).
cnf(theorem_2_10_70,negated_conjecture,
~ end_point(sk16,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_70) ).
cnf(meet_defn_24,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).
cnf(inner_point_defn_22,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(c3_37,axiom,
inner_point(ax0_sk8(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(meet_defn_27,axiom,
( end_point(X4,X3)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_27) ).
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(meet_defn_26,axiom,
( end_point(X4,X2)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_26) ).
cnf(c_0_22,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
sum_defn_6 ).
cnf(c_0_23,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_24,negated_conjecture,
part_of(sk15,sk14),
theorem_2_10_67 ).
cnf(c_0_25,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_26,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( incident_c(X1,sk14)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_29,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( incident_c(ax0_sk1(sk15,X1),sk14)
| part_of(sk15,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,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_32,negated_conjecture,
part_of(sk15,sum(X1,sk14)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,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_31]) ).
cnf(c_0_34,negated_conjecture,
( incident_c(X1,sum(X2,sk14))
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_35,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_36,plain,
( sum(X1,X1) = X1
| incident_c(ax0_sk2(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_37,axiom,
( X2 = sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
c4_39 ).
cnf(c_0_38,axiom,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
end_point_defn_14 ).
cnf(c_0_39,negated_conjecture,
end_point(sk16,sk14),
theorem_2_10_68 ).
cnf(c_0_40,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
meet_defn_25 ).
cnf(c_0_41,axiom,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
c4_38 ).
cnf(c_0_42,negated_conjecture,
( part_of(X1,sum(X2,sk14))
| ~ incident_c(ax0_sk1(X1,sum(X2,sk14)),sk15) ),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_43,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).
cnf(c_0_44,plain,
( incident_c(X1,X2)
| ~ inner_point(X3,X2)
| ~ incident_c(X1,ax0_sk10(X3,X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(sk16,X1)
| ~ incident_c(sk16,X2)
| ~ part_of(X1,sk14)
| ~ part_of(X2,sk14) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
( incident_c(X1,ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( part_of(X1,sk14)
| ~ incident_c(ax0_sk1(X1,sk14),sk15) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( incident_c(ax0_sk1(ax0_sk10(X1,X2),X3),X2)
| part_of(ax0_sk10(X1,X2),X3)
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_49,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
sum_defn_5 ).
cnf(c_0_50,negated_conjecture,
( part_of(X1,ax0_sk10(sk16,X2))
| part_of(ax0_sk10(sk16,X2),X1)
| ~ inner_point(sk16,X2)
| ~ incident_c(sk16,X1)
| ~ part_of(ax0_sk10(sk16,X2),sk14)
| ~ part_of(X1,sk14) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( part_of(ax0_sk10(X1,sk15),sk14)
| ~ inner_point(X1,sk15) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( part_of(ax0_sk10(sk16,sk15),X1)
| part_of(X1,ax0_sk10(sk16,sk15))
| ~ inner_point(sk16,sk15)
| ~ incident_c(sk16,X1)
| ~ part_of(X1,sk14) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,axiom,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inner_point_defn_23 ).
cnf(c_0_55,negated_conjecture,
incident_c(sk16,sk15),
theorem_2_10_69 ).
cnf(c_0_56,negated_conjecture,
~ end_point(sk16,sk15),
theorem_2_10_70 ).
cnf(c_0_57,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
meet_defn_24 ).
cnf(c_0_58,plain,
( incident_c(X1,X2)
| ~ inner_point(X3,X2)
| ~ incident_c(X1,ax0_sk9(X3,X2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_59,negated_conjecture,
( part_of(X1,ax0_sk10(sk16,sk15))
| part_of(ax0_sk10(sk16,sk15),X1)
| ~ incident_c(sk16,X1)
| ~ part_of(X1,sk14) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_60,plain,
( incident_c(X1,ax0_sk9(X1,X2))
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_61,plain,
( incident_c(ax0_sk1(ax0_sk9(X1,X2),X3),X2)
| part_of(ax0_sk9(X1,X2),X3)
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_28]) ).
cnf(c_0_62,negated_conjecture,
( part_of(ax0_sk10(sk16,sk15),ax0_sk9(sk16,X1))
| part_of(ax0_sk9(sk16,X1),ax0_sk10(sk16,sk15))
| ~ inner_point(sk16,X1)
| ~ part_of(ax0_sk9(sk16,X1),sk14) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( part_of(ax0_sk9(X1,sk15),sk14)
| ~ inner_point(X1,sk15) ),
inference(spm,[status(thm)],[c_0_47,c_0_61]) ).
cnf(c_0_64,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inner_point_defn_22 ).
cnf(c_0_65,axiom,
inner_point(ax0_sk8(X1),X1),
c3_37 ).
cnf(c_0_66,axiom,
( end_point(X4,X3)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
meet_defn_27 ).
cnf(c_0_67,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inner_point_defn_21 ).
cnf(c_0_68,negated_conjecture,
( part_of(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15))
| part_of(ax0_sk10(sk16,sk15),ax0_sk9(sk16,sk15))
| ~ inner_point(sk16,sk15) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
~ end_point(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( end_point(X1,ax0_sk10(X2,X3))
| ~ inner_point(X2,X3)
| ~ incident_c(X1,ax0_sk10(X2,X3))
| ~ incident_c(X1,ax0_sk9(X2,X3)) ),
inference(spm,[status(thm)],[c_0_66,c_0_41]) ).
cnf(c_0_71,plain,
incident_c(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_72,axiom,
( end_point(X4,X2)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
meet_defn_26 ).
cnf(c_0_73,negated_conjecture,
( incident_c(X1,ax0_sk9(sk16,sk15))
| part_of(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15))
| ~ inner_point(sk16,sk15)
| ~ incident_c(X1,ax0_sk10(sk16,sk15)) ),
inference(spm,[status(thm)],[c_0_23,c_0_68]) ).
cnf(c_0_74,plain,
( ~ inner_point(X1,X2)
| ~ incident_c(ax0_sk8(ax0_sk10(X1,X2)),ax0_sk9(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_75,plain,
( end_point(X1,ax0_sk9(X2,X3))
| ~ inner_point(X2,X3)
| ~ incident_c(X1,ax0_sk10(X2,X3))
| ~ incident_c(X1,ax0_sk9(X2,X3)) ),
inference(spm,[status(thm)],[c_0_72,c_0_41]) ).
cnf(c_0_76,negated_conjecture,
( part_of(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15))
| ~ inner_point(sk16,sk15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_71]),c_0_74]) ).
cnf(c_0_77,plain,
( ~ inner_point(X1,X2)
| ~ incident_c(ax0_sk8(ax0_sk9(X1,X2)),ax0_sk10(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_75]),c_0_71])]) ).
cnf(c_0_78,negated_conjecture,
( incident_c(X1,ax0_sk10(sk16,sk15))
| ~ inner_point(sk16,sk15)
| ~ incident_c(X1,ax0_sk9(sk16,sk15)) ),
inference(spm,[status(thm)],[c_0_23,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
~ inner_point(sk16,sk15),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_71])]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_54]),c_0_55])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO088-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.13/0.32 % Computer : n026.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 17:40:38 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 111.44/74.42 % Version : CSE_E---1.7
% 111.44/74.42 % Problem : theBenchmark.p
% 111.44/74.42 % SZS status Unsatisfiable for theBenchmark.p
% 111.44/74.42 % SZS output start CNFRefutation
% See solution above
% 111.93/74.91 % Total time : 55.444s
%------------------------------------------------------------------------------