TSTP Solution File: GEO081+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO081+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 : n021.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 : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 40 ( 4 unt; 24 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 34 ( 12 ~; 12 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 25 ( 0 sgn; 14 !; 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,
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(part_of_transitivity,conjecture,
! [X2,X4,X6] :
( ( part_of(X2,X4)
& part_of(X4,X6) )
=> part_of(X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
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(c_0_2,negated_conjecture,
~ ! [X2,X4,X6] :
( ( part_of(X2,X4)
& part_of(X4,X6) )
=> part_of(X2,X6) ),
inference(assume_negation,[status(cth)],[part_of_transitivity]) ).
fof(c_0_3,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_4,negated_conjecture,
( part_of(esk14_0,esk15_0)
& part_of(esk15_0,esk16_0)
& ~ part_of(esk14_0,esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
part_of(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
part_of(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( incident_c(X1,esk15_0)
| ~ incident_c(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_11,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( part_of(X1,esk16_0)
| ~ incident_c(esk1_2(esk16_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(esk1_2(X1,esk14_0),esk15_0)
| part_of(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ part_of(esk14_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n021.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 20:46:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.016000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.019000 s
%------------------------------------------------------------------------------