TSTP Solution File: GEO082-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO082-1 : 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 : 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 22:45:59 EDT 2023
% Result : Unsatisfiable 0.55s 0.74s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 32
% Syntax : Number of formulae : 44 ( 8 unt; 26 typ; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 21 >; 19 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 18 ( 0 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,
sk14: $i ).
tff(decl_44,type,
sk15: $i ).
tff(decl_45,type,
epred1_0: $o ).
tff(decl_46,type,
epred2_0: $o ).
tff(decl_47,type,
epred3_0: $o ).
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(part_of_antisymmetry_67,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).
cnf(part_of_antisymmetry_68,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).
cnf(c9_45,axiom,
( incident_c(ax0_sk13(X1,X2),X2)
| incident_c(ax0_sk13(X1,X2),X1)
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c9_45) ).
cnf(c9_48,axiom,
( X2 = X1
| ~ incident_c(ax0_sk13(X1,X2),X1)
| ~ incident_c(ax0_sk13(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c9_48) ).
cnf(part_of_antisymmetry_69,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).
cnf(c_0_6,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_7,negated_conjecture,
part_of(sk14,sk15),
part_of_antisymmetry_67 ).
cnf(c_0_8,negated_conjecture,
part_of(sk15,sk14),
part_of_antisymmetry_68 ).
cnf(c_0_9,negated_conjecture,
( incident_c(X1,sk15)
| ~ incident_c(X1,sk14) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
( incident_c(ax0_sk13(X1,X2),X2)
| incident_c(ax0_sk13(X1,X2),X1)
| X2 = X1 ),
c9_45 ).
cnf(c_0_11,axiom,
( X2 = X1
| ~ incident_c(ax0_sk13(X1,X2),X1)
| ~ incident_c(ax0_sk13(X1,X2),X2) ),
c9_48 ).
cnf(c_0_12,negated_conjecture,
( incident_c(X1,sk14)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( X1 = sk14
| incident_c(ax0_sk13(X1,sk14),sk15)
| incident_c(ax0_sk13(X1,sk14),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
sk14 != sk15,
part_of_antisymmetry_69 ).
cnf(c_0_15,negated_conjecture,
( X1 = sk14
| ~ incident_c(ax0_sk13(X1,sk14),sk15)
| ~ incident_c(ax0_sk13(X1,sk14),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
incident_c(ax0_sk13(sk15,sk14),sk15),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 21:00:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.55/0.74 % Version : CSE_E---1.5
% 0.55/0.74 % Problem : theBenchmark.p
% 0.55/0.74 % Proof found
% 0.55/0.74 % SZS status Theorem for theBenchmark.p
% 0.55/0.74 % SZS output start Proof
% See solution above
% 0.55/0.74 % Total time : 0.162000 s
% 0.55/0.74 % SZS output end Proof
% 0.55/0.74 % Total time : 0.166000 s
%------------------------------------------------------------------------------