TSTP Solution File: GEO087+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO087+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 : n020.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 22:46:02 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 29
% Syntax : Number of formulae : 48 ( 8 unt; 24 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 99 ( 39 ~; 35 |; 17 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 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 : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 1 sgn; 31 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
part_of: ( $i * $i ) > $o ).
tff(decl_23,type,
incident_c: ( $i * $i ) > $o ).
tff(decl_24,type,
sum: ( $i * $i ) > $i ).
tff(decl_25,type,
end_point: ( $i * $i ) > $o ).
tff(decl_26,type,
inner_point: ( $i * $i ) > $o ).
tff(decl_27,type,
meet: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
closed: $i > $o ).
tff(decl_29,type,
open: $i > $o ).
tff(decl_30,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk6_1: $i > $i ).
tff(decl_36,type,
esk7_1: $i > $i ).
tff(decl_37,type,
esk8_1: $i > $i ).
tff(decl_38,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk14_0: $i ).
tff(decl_44,type,
esk15_0: $i ).
tff(decl_45,type,
esk16_0: $i ).
fof(corollary_2_9,conjecture,
! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( incident_c(X3,X1)
& incident_c(X3,X2)
& ! [X5] :
( ( incident_c(X5,X1)
& incident_c(X5,X2) )
=> ( end_point(X5,X1)
& end_point(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
inference(assume_negation,[status(cth)],[corollary_2_9]) ).
fof(c_0_6,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
fof(c_0_7,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ part_of(X9,X8)
| ~ incident_c(X10,X9)
| incident_c(X10,X8) )
& ( incident_c(esk1_2(X11,X12),X12)
| part_of(X12,X11) )
& ( ~ incident_c(esk1_2(X11,X12),X11)
| part_of(X12,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])]) ).
fof(c_0_8,negated_conjecture,
( part_of(esk14_0,esk15_0)
& meet(esk16_0,esk14_0,esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X31,X32] :
( ( incident_c(X31,X32)
| ~ inner_point(X31,X32) )
& ( ~ end_point(X31,X32)
| ~ inner_point(X31,X32) )
& ( ~ incident_c(X31,X32)
| end_point(X31,X32)
| inner_point(X31,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X56] : inner_point(esk8_1(X56),X56),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(c_0_11,plain,
! [X33,X34,X35,X36,X37,X38,X39] :
( ( incident_c(X33,X34)
| ~ meet(X33,X34,X35) )
& ( incident_c(X33,X35)
| ~ meet(X33,X34,X35) )
& ( end_point(X36,X34)
| ~ incident_c(X36,X34)
| ~ incident_c(X36,X35)
| ~ meet(X33,X34,X35) )
& ( end_point(X36,X35)
| ~ incident_c(X36,X34)
| ~ incident_c(X36,X35)
| ~ meet(X33,X34,X35) )
& ( incident_c(esk5_3(X37,X38,X39),X38)
| ~ incident_c(X37,X38)
| ~ incident_c(X37,X39)
| meet(X37,X38,X39) )
& ( incident_c(esk5_3(X37,X38,X39),X39)
| ~ incident_c(X37,X38)
| ~ incident_c(X37,X39)
| meet(X37,X38,X39) )
& ( ~ end_point(esk5_3(X37,X38,X39),X38)
| ~ end_point(esk5_3(X37,X38,X39),X39)
| ~ incident_c(X37,X38)
| ~ incident_c(X37,X39)
| meet(X37,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[meet_defn])])])])])]) ).
cnf(c_0_12,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
part_of(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
meet(esk16_0,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( incident_c(X1,esk15_0)
| ~ incident_c(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
~ end_point(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( end_point(X1,esk14_0)
| ~ incident_c(X1,esk14_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
incident_c(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO087+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
% 0.13/0.34 % Computer : n020.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 19:14:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.020000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.024000 s
%------------------------------------------------------------------------------