TSTP Solution File: GEO147-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO147-1 : 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 : n021.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 22:46:22 EDT 2023
% Result : Unsatisfiable 0.56s 0.64s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 55
% Syntax : Number of formulae : 68 ( 5 unt; 49 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 98 ( 46 >; 52 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 34 ( 34 usr; 3 con; 0-5 aty)
% Number of variables : 24 ( 6 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,
connect: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
at: ( $i * $i ) > $i ).
tff(decl_63,type,
at_the_same_time: ( $i * $i ) > $i ).
tff(decl_64,type,
once: $i > $o ).
tff(decl_65,type,
trajectory_of: $i > $i ).
tff(decl_66,type,
ax3_sk1: $i > $i ).
tff(decl_67,type,
ax3_sk2: ( $i * $i ) > $i ).
tff(decl_68,type,
sk28: $i ).
tff(decl_69,type,
sk29: $i ).
tff(decl_70,type,
sk27: $i ).
cnf(t13_157,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk28))
| ~ incident_o(sk27,trajectory_of(sk29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_157) ).
cnf(at_on_trajectory_10,axiom,
( incident_o(X2,trajectory_of(X1))
| ~ once(at(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',at_on_trajectory_10) ).
cnf(conjunction_at_the_same_time_8,axiom,
( once(X1)
| ~ once(at_the_same_time(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',conjunction_at_the_same_time_8) ).
cnf(connect_defn_1,axiom,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',connect_defn_1) ).
cnf(t13_156,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_156) ).
cnf(conjunction_at_the_same_time_9,axiom,
( once(X2)
| ~ once(at_the_same_time(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',conjunction_at_the_same_time_9) ).
cnf(c_0_6,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk28))
| ~ incident_o(sk27,trajectory_of(sk29)) ),
t13_157 ).
cnf(c_0_7,axiom,
( incident_o(X2,trajectory_of(X1))
| ~ once(at(X1,X2)) ),
at_on_trajectory_10 ).
cnf(c_0_8,axiom,
( once(X1)
| ~ once(at_the_same_time(X1,X2)) ),
conjunction_at_the_same_time_8 ).
cnf(c_0_9,axiom,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
connect_defn_1 ).
cnf(c_0_10,negated_conjecture,
( ~ once(at(sk29,sk27))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( once(at(X1,X2))
| ~ connect(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
connect(sk28,sk29,sk27),
t13_156 ).
cnf(c_0_13,axiom,
( once(X2)
| ~ once(at_the_same_time(X1,X2)) ),
conjunction_at_the_same_time_9 ).
cnf(c_0_14,negated_conjecture,
( ~ once(at(sk29,sk27))
| ~ once(at(sk28,sk27)) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
once(at(sk28,sk27)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( once(at(X1,X2))
| ~ connect(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ once(at(sk29,sk27)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO147-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 19:55:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 0.56/0.64 % Version : CSE_E---1.5
% 0.56/0.64 % Problem : theBenchmark.p
% 0.56/0.64 % Proof found
% 0.56/0.64 % SZS status Theorem for theBenchmark.p
% 0.56/0.64 % SZS output start Proof
% See solution above
% 0.56/0.65 % Total time : 0.026000 s
% 0.56/0.65 % SZS output end Proof
% 0.56/0.65 % Total time : 0.031000 s
%------------------------------------------------------------------------------