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/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Theorem 6.32s 6.45s
% Output : CNFRefutation 6.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of formulae : 54 ( 5 unt; 25 typ; 0 def)
% Number of atoms : 92 ( 10 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 96 ( 33 ~; 43 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 ( 6 sgn; 28 !; 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 ).
tff(decl_46,type,
esk17_0: $i ).
fof(corollary_2_6_1,conjecture,
! [X2,X4,X6,X3] :
( ( part_of(X4,X6)
& meet(X3,X2,X4)
& meet(X3,X2,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1) ).
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X2)
| incident_c(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_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(c_0_3,negated_conjecture,
~ ! [X2,X4,X6,X3] :
( ( part_of(X4,X6)
& meet(X3,X2,X4)
& meet(X3,X2,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
inference(assume_negation,[status(cth)],[corollary_2_6_1]) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ~ incident_c(X17,X14)
| incident_c(X17,X15)
| incident_c(X17,X16)
| X14 != sum(X15,X16) )
& ( ~ incident_c(X18,X15)
| incident_c(X18,X14)
| X14 != sum(X15,X16) )
& ( ~ incident_c(X18,X16)
| incident_c(X18,X14)
| X14 != sum(X15,X16) )
& ( ~ incident_c(esk2_3(X19,X20,X21),X20)
| ~ incident_c(esk2_3(X19,X20,X21),X19)
| X19 = sum(X20,X21) )
& ( ~ incident_c(esk2_3(X19,X20,X21),X21)
| ~ incident_c(esk2_3(X19,X20,X21),X19)
| X19 = sum(X20,X21) )
& ( incident_c(esk2_3(X19,X20,X21),X19)
| incident_c(esk2_3(X19,X20,X21),X20)
| incident_c(esk2_3(X19,X20,X21),X21)
| X19 = sum(X20,X21) ) ),
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)],[sum_defn])])])])])]) ).
fof(c_0_5,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_6,negated_conjecture,
( part_of(esk15_0,esk16_0)
& meet(esk17_0,esk14_0,esk15_0)
& meet(esk17_0,esk14_0,esk16_0)
& ~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
part_of(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk1_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( incident_c(esk1_2(X1,esk15_0),esk16_0)
| part_of(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
part_of(esk15_0,sum(X1,esk16_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( incident_c(X1,X3)
| incident_c(X1,X4)
| ~ incident_c(X1,X2)
| X2 != sum(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( incident_c(X1,sum(X2,esk16_0))
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_20,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( part_of(X1,sum(X2,esk16_0))
| ~ incident_c(esk1_2(sum(X2,esk16_0),X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_23,plain,
( incident_c(esk1_2(X1,sum(X2,X3)),X2)
| incident_c(esk1_2(X1,sum(X2,X3)),X3)
| part_of(sum(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_24,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk1_2(sum(X2,X3),X1),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( incident_c(esk1_2(sum(X1,esk16_0),sum(X2,esk15_0)),X2)
| part_of(sum(X2,esk15_0),sum(X1,esk16_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
part_of(sum(X1,esk15_0),sum(X1,esk16_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.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 23:38:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 6.32/6.45 % Version : CSE_E---1.5
% 6.32/6.45 % Problem : theBenchmark.p
% 6.32/6.45 % Proof found
% 6.32/6.45 % SZS status Theorem for theBenchmark.p
% 6.32/6.45 % SZS output start Proof
% See solution above
% 6.32/6.46 % Total time : 5.849000 s
% 6.32/6.46 % SZS output end Proof
% 6.32/6.46 % Total time : 5.852000 s
%------------------------------------------------------------------------------