TSTP Solution File: GEO118-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO118-1 : 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 : n031.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 22:46:13 EDT 2023
% Result : Unsatisfiable 0.49s 0.61s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 47
% Syntax : Number of formulae : 56 ( 7 unt; 42 typ; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 33 ( 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,
sk25: $i ).
tff(decl_62,type,
sk26: $i ).
tff(decl_63,type,
sk27: $i ).
cnf(between_c_defn_1,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
cnf(o3_24,axiom,
( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
| ~ between_o(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o3_24) ).
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/sandbox2/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).
cnf(theorem_4_5_134,negated_conjecture,
ordered_by(sk25,sk27,sk26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_134) ).
cnf(theorem_4_5_133,negated_conjecture,
ordered_by(sk25,sk26,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_133) ).
cnf(c_0_5,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
between_c_defn_1 ).
cnf(c_0_6,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_7,axiom,
( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
| ~ between_o(X1,X2,X3,X4) ),
o3_24 ).
cnf(c_0_8,plain,
~ between_o(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
( between_o(X1,X4,X3,X2)
| ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X4) ),
between_o_defn_6 ).
cnf(c_0_10,plain,
( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
ordered_by(sk25,sk27,sk26),
theorem_4_5_134 ).
cnf(c_0_12,negated_conjecture,
ordered_by(sk25,sk26,sk27),
theorem_4_5_133 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO118-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 19:53:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.49/0.61 % Version : CSE_E---1.5
% 0.49/0.61 % Problem : theBenchmark.p
% 0.49/0.61 % Proof found
% 0.49/0.61 % SZS status Theorem for theBenchmark.p
% 0.49/0.61 % SZS output start Proof
% See solution above
% 0.49/0.61 % Total time : 0.024000 s
% 0.49/0.61 % SZS output end Proof
% 0.49/0.61 % Total time : 0.029000 s
%------------------------------------------------------------------------------