TSTP Solution File: GEO127-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Wed Aug 30 22:46:16 EDT 2023
% Result : Unsatisfiable 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 62
% Syntax : Number of formulae : 107 ( 23 unt; 42 typ; 0 def)
% Number of atoms : 123 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 52 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 39 >; 47 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 29 ( 29 usr; 3 con; 0-5 aty)
% Number of variables : 84 ( 17 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
part_of: ( $i * $i ) > $o ).
tff(decl_23,type,
incident_c: ( $i * $i ) > $o ).
tff(decl_24,type,
ax0_sk1: ( $i * $i ) > $i ).
tff(decl_25,type,
sum: ( $i * $i ) > $i ).
tff(decl_26,type,
ax0_sk2: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
end_point: ( $i * $i ) > $o ).
tff(decl_28,type,
ax0_sk3: ( $i * $i ) > $i ).
tff(decl_29,type,
ax0_sk4: ( $i * $i ) > $i ).
tff(decl_30,type,
inner_point: ( $i * $i ) > $o ).
tff(decl_31,type,
meet: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
ax0_sk5: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
closed: $i > $o ).
tff(decl_34,type,
ax0_sk6: $i > $i ).
tff(decl_35,type,
open: $i > $o ).
tff(decl_36,type,
ax0_sk7: $i > $i ).
tff(decl_37,type,
ax0_sk8: $i > $i ).
tff(decl_38,type,
ax0_sk9: ( $i * $i ) > $i ).
tff(decl_39,type,
ax0_sk10: ( $i * $i ) > $i ).
tff(decl_40,type,
ax0_sk11: ( $i * $i ) > $i ).
tff(decl_41,type,
ax0_sk12: ( $i * $i ) > $i ).
tff(decl_42,type,
ax0_sk13: ( $i * $i ) > $i ).
tff(decl_43,type,
between_c: ( $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
ax1_sk1: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
between_o: ( $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
ordered_by: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
start_point: ( $i * $i ) > $o ).
tff(decl_48,type,
incident_o: ( $i * $i ) > $o ).
tff(decl_49,type,
ax2_sk1: ( $i * $i ) > $i ).
tff(decl_50,type,
finish_point: ( $i * $i ) > $o ).
tff(decl_51,type,
ax2_sk2: ( $i * $i ) > $i ).
tff(decl_52,type,
ax2_sk3: $i > $i ).
tff(decl_53,type,
ax2_sk4: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
ax2_sk5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
ax2_sk6: $i > $i ).
tff(decl_56,type,
ax2_sk7: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
ax2_sk8: ( $i * $i ) > $i ).
tff(decl_58,type,
ax2_sk9: ( $i * $i ) > $i ).
tff(decl_59,type,
underlying_curve: $i > $i ).
tff(decl_60,type,
ax2_sk10: ( $i * $i ) > $i ).
tff(decl_61,type,
sk26: $i ).
tff(decl_62,type,
sk25: $i ).
tff(decl_63,type,
sk27: $i ).
cnf(o1_18,axiom,
( incident_o(X3,X1)
| ~ ordered_by(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o1_18) ).
cnf(theorem_4_12_133,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_133) ).
cnf(o1_17,axiom,
( incident_o(X2,X1)
| ~ ordered_by(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o1_17) ).
cnf(theorem_4_12_138,negated_conjecture,
( ~ ordered_by(sk25,X1,sk26)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_138) ).
cnf(start_point_defn_8,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
cnf(finish_point_defn_15,axiom,
( incident_o(ax2_sk2(X2,X1),X2)
| finish_point(X1,X2)
| ~ incident_o(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',finish_point_defn_15) ).
cnf(o4_29,axiom,
start_point(ax2_sk6(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o4_29) ).
cnf(theorem_4_12_137,negated_conjecture,
( ~ ordered_by(sk25,sk26,X1)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_137) ).
cnf(open_defn_33,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
cnf(o2_19,axiom,
open(ax2_sk3(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o2_19) ).
cnf(finish_point_defn_14,axiom,
( finish_point(X1,X2)
| ~ incident_o(X1,X2)
| X1 != ax2_sk2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',finish_point_defn_14) ).
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(c3_37,axiom,
inner_point(ax0_sk8(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(end_point_defn_13,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
cnf(finish_point_defn_13,axiom,
( X1 = X3
| ordered_by(X2,X3,X1)
| ~ finish_point(X1,X2)
| ~ incident_o(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',finish_point_defn_13) ).
cnf(o2_21,axiom,
( incident_o(X1,X2)
| ~ incident_c(X1,ax2_sk3(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o2_21) ).
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(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(closed_defn_31,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
cnf(c_0_20,axiom,
( incident_o(X3,X1)
| ~ ordered_by(X1,X2,X3) ),
o1_18 ).
cnf(c_0_21,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
theorem_4_12_133 ).
cnf(c_0_22,axiom,
( incident_o(X2,X1)
| ~ ordered_by(X1,X2,X3) ),
o1_17 ).
cnf(c_0_23,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( ~ ordered_by(sk25,X1,sk26)
| ~ incident_o(sk26,sk25) ),
theorem_4_12_138 ).
cnf(c_0_25,negated_conjecture,
incident_o(sk26,sk25),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
start_point_defn_8 ).
cnf(c_0_27,negated_conjecture,
~ ordered_by(sk25,X1,sk26),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,axiom,
( incident_o(ax2_sk2(X2,X1),X2)
| finish_point(X1,X2)
| ~ incident_o(X1,X2) ),
finish_point_defn_15 ).
cnf(c_0_29,negated_conjecture,
( X1 = sk26
| ~ start_point(X1,sk25) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_27]) ).
cnf(c_0_30,axiom,
start_point(ax2_sk6(X1),X1),
o4_29 ).
cnf(c_0_31,negated_conjecture,
( finish_point(sk26,sk25)
| incident_o(ax2_sk2(sk25,sk26),sk25) ),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
ax2_sk6(sk25) = sk26,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( ~ ordered_by(sk25,sk26,X1)
| ~ incident_o(sk26,sk25) ),
theorem_4_12_137 ).
cnf(c_0_34,negated_conjecture,
( X1 = ax2_sk2(sk25,sk26)
| finish_point(sk26,sk25)
| ordered_by(sk25,X1,ax2_sk2(sk25,sk26))
| ~ start_point(X1,sk25) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
start_point(sk26,sk25),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
~ ordered_by(sk25,sk26,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_25])]) ).
cnf(c_0_37,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
open_defn_33 ).
cnf(c_0_38,axiom,
open(ax2_sk3(X1)),
o2_19 ).
cnf(c_0_39,axiom,
( finish_point(X1,X2)
| ~ incident_o(X1,X2)
| X1 != ax2_sk2(X2,X1) ),
finish_point_defn_14 ).
cnf(c_0_40,negated_conjecture,
( ax2_sk2(sk25,sk26) = sk26
| finish_point(sk26,sk25) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_41,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inner_point_defn_21 ).
cnf(c_0_42,axiom,
inner_point(ax0_sk8(X1),X1),
c3_37 ).
cnf(c_0_43,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
end_point_defn_13 ).
cnf(c_0_44,plain,
end_point(ax0_sk7(ax2_sk3(X1)),ax2_sk3(X1)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,axiom,
( X1 = X3
| ordered_by(X2,X3,X1)
| ~ finish_point(X1,X2)
| ~ incident_o(X3,X2) ),
finish_point_defn_13 ).
cnf(c_0_46,negated_conjecture,
finish_point(sk26,sk25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_25])]) ).
cnf(c_0_47,axiom,
( incident_o(X1,X2)
| ~ incident_c(X1,ax2_sk3(X2)) ),
o2_21 ).
cnf(c_0_48,plain,
incident_c(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,axiom,
( open(X2)
| ~ end_point(X1,X2) ),
open_defn_34 ).
cnf(c_0_50,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
closed_defn_32 ).
cnf(c_0_51,plain,
incident_c(ax0_sk7(ax2_sk3(X1)),ax2_sk3(X1)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inner_point_defn_22 ).
cnf(c_0_53,negated_conjecture,
( sk26 = X1
| ~ incident_o(X1,sk25) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_27]) ).
cnf(c_0_54,plain,
incident_o(ax0_sk8(ax2_sk3(X1)),X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( open(X1)
| closed(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
incident_o(ax0_sk7(ax2_sk3(X1)),X1),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_57,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
closed_defn_31 ).
cnf(c_0_58,plain,
~ end_point(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_52,c_0_42]) ).
cnf(c_0_59,negated_conjecture,
ax0_sk8(ax2_sk3(sk25)) = sk26,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( closed(X1)
| end_point(ax0_sk7(X1),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
ax0_sk7(ax2_sk3(sk25)) = sk26,
inference(spm,[status(thm)],[c_0_53,c_0_56]) ).
cnf(c_0_62,plain,
~ closed(ax2_sk3(X1)),
inference(spm,[status(thm)],[c_0_57,c_0_44]) ).
cnf(c_0_63,negated_conjecture,
~ end_point(sk26,ax2_sk3(sk25)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:46:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.62 % Total time : 0.014000 s
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time : 0.019000 s
%------------------------------------------------------------------------------