TSTP Solution File: GEO124-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 22:46:14 EDT 2023
% Result : Unsatisfiable 0.51s 0.61s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 50
% Syntax : Number of formulae : 68 ( 13 unt; 42 typ; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 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 : 45 ( 8 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(between_c_defn_1,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
cnf(start_point_defn_7,axiom,
( incident_o(X1,X2)
| ~ start_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_7) ).
cnf(corollary_4_10_1_133,negated_conjecture,
start_point(sk26,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_133) ).
cnf(corollary_4_10_1_134,negated_conjecture,
start_point(sk27,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_134) ).
cnf(o3_24,axiom,
( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
| ~ between_o(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o3_24) ).
cnf(start_point_defn_8,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
cnf(between_o_defn_6,axiom,
( between_o(X1,X4,X3,X2)
| ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).
cnf(corollary_4_10_1_135,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_135) ).
cnf(c_0_8,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
between_c_defn_1 ).
cnf(c_0_9,axiom,
( incident_o(X1,X2)
| ~ start_point(X1,X2) ),
start_point_defn_7 ).
cnf(c_0_10,negated_conjecture,
start_point(sk26,sk25),
corollary_4_10_1_133 ).
cnf(c_0_11,negated_conjecture,
start_point(sk27,sk25),
corollary_4_10_1_134 ).
cnf(c_0_12,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_13,axiom,
( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
| ~ between_o(X1,X2,X3,X4) ),
o3_24 ).
cnf(c_0_14,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
start_point_defn_8 ).
cnf(c_0_15,negated_conjecture,
incident_o(sk26,sk25),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
incident_o(sk27,sk25),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_17,plain,
~ between_o(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,axiom,
( between_o(X1,X4,X3,X2)
| ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X4) ),
between_o_defn_6 ).
cnf(c_0_19,negated_conjecture,
( X1 = sk26
| ordered_by(sk25,X1,sk26)
| ~ start_point(X1,sk25) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
sk26 != sk27,
corollary_4_10_1_135 ).
cnf(c_0_21,negated_conjecture,
( X1 = sk27
| ordered_by(sk25,X1,sk27)
| ~ start_point(X1,sk25) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_22,plain,
( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
ordered_by(sk25,sk27,sk26),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
ordered_by(sk25,sk26,sk27),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 21:16:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.51/0.57 start to proof: theBenchmark
% 0.51/0.61 % Version : CSE_E---1.5
% 0.51/0.61 % Problem : theBenchmark.p
% 0.51/0.61 % Proof found
% 0.51/0.61 % SZS status Theorem for theBenchmark.p
% 0.51/0.61 % SZS output start Proof
% See solution above
% 0.51/0.61 % Total time : 0.026000 s
% 0.51/0.61 % SZS output end Proof
% 0.51/0.61 % Total time : 0.031000 s
%------------------------------------------------------------------------------