TSTP Solution File: GEO084-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO084-1 : 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 : n005.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 22:46:00 EDT 2023
% Result : Unsatisfiable 0.91s 1.01s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 35
% Syntax : Number of formulae : 66 ( 10 unt; 25 typ; 0 def)
% Number of atoms : 89 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 31 ~; 48 |; 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 : 75 ( 7 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,
sk16: $i ).
tff(decl_45,type,
sk15: $i ).
tff(decl_46,type,
sk17: $i ).
cnf(sum_defn_5,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(corollary_2_6_2_68,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_68) ).
cnf(corollary_2_6_2_67,negated_conjecture,
part_of(sk14,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_67) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(sum_defn_7,axiom,
( incident_c(ax0_sk2(X1,X2,X3),X3)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| X3 = sum(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_7) ).
cnf(sum_defn_11,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_11) ).
cnf(sum_defn_4,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(corollary_2_6_2_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_70) ).
cnf(c_0_10,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
sum_defn_5 ).
cnf(c_0_11,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_12,negated_conjecture,
part_of(sk15,sk16),
corollary_2_6_2_68 ).
cnf(c_0_13,negated_conjecture,
part_of(sk14,sk16),
corollary_2_6_2_67 ).
cnf(c_0_14,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_15,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_18,negated_conjecture,
( incident_c(X1,sk16)
| ~ incident_c(X1,sk14) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_19,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( incident_c(ax0_sk1(sk15,X1),sk16)
| part_of(sk15,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
( incident_c(ax0_sk2(X1,X2,X3),X3)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| X3 = sum(X2,X1) ),
sum_defn_7 ).
cnf(c_0_22,negated_conjecture,
( incident_c(ax0_sk1(sk14,X1),sk16)
| part_of(sk14,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
part_of(sk15,sum(sk16,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( X1 = sum(X2,X2)
| incident_c(ax0_sk2(X2,X2,X1),X1)
| incident_c(ax0_sk2(X2,X2,X1),X2) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
part_of(sk14,sum(sk16,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( incident_c(X1,sum(sk16,X2))
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_27,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
sum_defn_11 ).
cnf(c_0_28,plain,
( sum(X1,X1) = X1
| incident_c(ax0_sk2(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_29,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
sum_defn_4 ).
cnf(c_0_30,negated_conjecture,
( incident_c(X1,sum(sk16,X2))
| ~ incident_c(X1,sk14) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( part_of(X1,sum(sk16,X2))
| ~ incident_c(ax0_sk1(X1,sum(sk16,X2)),sk15) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_32,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).
cnf(c_0_33,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( part_of(X1,sum(sk16,X2))
| ~ incident_c(ax0_sk1(X1,sum(sk16,X2)),sk14) ),
inference(spm,[status(thm)],[c_0_14,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( part_of(X1,sk16)
| ~ incident_c(ax0_sk1(X1,sk16),sk15) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,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_33,c_0_17]) ).
cnf(c_0_37,negated_conjecture,
( part_of(X1,sk16)
| ~ incident_c(ax0_sk1(X1,sk16),sk14) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( incident_c(ax0_sk1(sum(X1,sk15),sk16),X1)
| part_of(sum(X1,sk15),sk16) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
corollary_2_6_2_70 ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO084-1 : 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
% 0.13/0.35 % Computer : n005.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 20:15:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 0.91/1.01 % Version : CSE_E---1.5
% 0.91/1.01 % Problem : theBenchmark.p
% 0.91/1.01 % Proof found
% 0.91/1.01 % SZS status Theorem for theBenchmark.p
% 0.91/1.01 % SZS output start Proof
% See solution above
% 0.91/1.01 % Total time : 0.446000 s
% 0.91/1.01 % SZS output end Proof
% 0.91/1.01 % Total time : 0.449000 s
%------------------------------------------------------------------------------