TSTP Solution File: GEO083-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO083-1 : 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 : n026.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 6.43s 6.67s
% Output : CNFRefutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 55 ( 7 unt; 25 typ; 0 def)
% Number of atoms : 65 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 21 >; 19 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 66 ( 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,
sk15: $i ).
tff(decl_44,type,
sk16: $i ).
tff(decl_45,type,
sk17: $i ).
tff(decl_46,type,
sk14: $i ).
cnf(sum_defn_6,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
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(corollary_2_6_1_67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(sum_defn_4,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(sum_defn_5,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(corollary_2_6_1_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_70) ).
cnf(c_0_8,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
sum_defn_6 ).
cnf(c_0_9,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_10,negated_conjecture,
part_of(sk15,sk16),
corollary_2_6_1_67 ).
cnf(c_0_11,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_12,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_15,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( incident_c(ax0_sk1(sk15,X1),sk16)
| part_of(sk15,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
part_of(sk15,sum(X1,sk16)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
sum_defn_4 ).
cnf(c_0_19,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
sum_defn_5 ).
cnf(c_0_20,negated_conjecture,
( incident_c(X1,sum(X2,sk16))
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_21,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( part_of(X1,sum(X2,sk16))
| ~ incident_c(ax0_sk1(X1,sum(X2,sk16)),sk15) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,plain,
( incident_c(ax0_sk1(sum(X1,X2),X3),X1)
| incident_c(ax0_sk1(sum(X1,X2),X3),X2)
| part_of(sum(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_25,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( incident_c(ax0_sk1(sum(X1,sk15),sum(X2,sk16)),X1)
| part_of(sum(X1,sk15),sum(X2,sk16)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
corollary_2_6_1_70 ).
cnf(c_0_28,negated_conjecture,
part_of(sum(X1,sk15),sum(X1,sk16)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n026.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 : Wed Aug 30 00:10:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 6.43/6.67 % Version : CSE_E---1.5
% 6.43/6.67 % Problem : theBenchmark.p
% 6.43/6.67 % Proof found
% 6.43/6.67 % SZS status Theorem for theBenchmark.p
% 6.43/6.67 % SZS output start Proof
% See solution above
% 6.43/6.68 % Total time : 6.086000 s
% 6.43/6.68 % SZS output end Proof
% 6.43/6.68 % Total time : 6.089000 s
%------------------------------------------------------------------------------