TSTP Solution File: GEO094-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO094-1 : 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 : n001.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 22:46:05 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 38
% Syntax : Number of formulae : 66 ( 15 unt; 25 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 108 ( 53 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 10 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,
sk17: $i ).
tff(decl_44,type,
sk15: $i ).
tff(decl_45,type,
sk16: $i ).
tff(decl_46,type,
sk14: $i ).
cnf(end_point_defn_14,axiom,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(proposition_2_14_3_70,negated_conjecture,
end_point(sk17,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_70) ).
cnf(meet_defn_25,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).
cnf(proposition_2_14_3_67,negated_conjecture,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_67) ).
cnf(proposition_2_14_3_69,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_69) ).
cnf(meet_defn_24,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).
cnf(proposition_2_14_3_68,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_68) ).
cnf(meet_defn_26,axiom,
( end_point(X4,X2)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_26) ).
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(inner_point_defn_21,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(inner_point_defn_22,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(c3_37,axiom,
inner_point(ax0_sk8(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(meet_defn_27,axiom,
( end_point(X4,X3)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_27) ).
cnf(c_0_13,axiom,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
end_point_defn_14 ).
cnf(c_0_14,negated_conjecture,
end_point(sk17,sk14),
proposition_2_14_3_70 ).
cnf(c_0_15,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
meet_defn_25 ).
cnf(c_0_16,negated_conjecture,
meet(sk17,sk15,sk16),
proposition_2_14_3_67 ).
cnf(c_0_17,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(sk17,X1)
| ~ incident_c(sk17,X2)
| ~ part_of(X1,sk14)
| ~ part_of(X2,sk14) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
incident_c(sk17,sk16),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
part_of(sk16,sk14),
proposition_2_14_3_69 ).
cnf(c_0_20,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
meet_defn_24 ).
cnf(c_0_21,negated_conjecture,
( part_of(X1,sk16)
| part_of(sk16,X1)
| ~ incident_c(sk17,X1)
| ~ part_of(X1,sk14) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
incident_c(sk17,sk15),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
part_of(sk15,sk14),
proposition_2_14_3_68 ).
cnf(c_0_24,axiom,
( end_point(X4,X2)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
meet_defn_26 ).
cnf(c_0_25,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_26,negated_conjecture,
( part_of(sk16,sk15)
| part_of(sk15,sk16) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
( end_point(X1,sk15)
| ~ incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_28,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inner_point_defn_21 ).
cnf(c_0_29,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inner_point_defn_22 ).
cnf(c_0_30,negated_conjecture,
( incident_c(X1,sk16)
| part_of(sk16,sk15)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ inner_point(X1,sk15)
| ~ incident_c(X1,sk16) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( part_of(sk16,sk15)
| ~ inner_point(X1,sk15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31]) ).
cnf(c_0_33,axiom,
inner_point(ax0_sk8(X1),X1),
c3_37 ).
cnf(c_0_34,axiom,
( end_point(X4,X3)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
meet_defn_27 ).
cnf(c_0_35,negated_conjecture,
part_of(sk16,sk15),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( end_point(X1,sk16)
| ~ incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( incident_c(X1,sk15)
| ~ incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( end_point(X1,sk16)
| ~ incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
~ inner_point(X1,sk16),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_29]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_39,c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.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 20:51:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.044000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.047000 s
%------------------------------------------------------------------------------