TSTP Solution File: SEU104+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU104+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 : Thu Aug 31 16:22:27 EDT 2023
% Result : Theorem 0.17s 0.61s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 38
% Syntax : Number of formulae : 59 ( 7 unt; 34 typ; 0 def)
% Number of atoms : 79 ( 3 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 94 ( 40 ~; 32 |; 11 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 28 >; 6 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
finite: $i > $o ).
tff(decl_25,type,
preboolean: $i > $o ).
tff(decl_26,type,
cup_closed: $i > $o ).
tff(decl_27,type,
diff_closed: $i > $o ).
tff(decl_28,type,
powerset: $i > $i ).
tff(decl_29,type,
element: ( $i * $i ) > $o ).
tff(decl_30,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_31,type,
symmetric_difference: ( $i * $i ) > $i ).
tff(decl_32,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_33,type,
empty_set: $i ).
tff(decl_34,type,
cap_closed: $i > $o ).
tff(decl_35,type,
relation: $i > $o ).
tff(decl_36,type,
function: $i > $o ).
tff(decl_37,type,
one_to_one: $i > $o ).
tff(decl_38,type,
epsilon_transitive: $i > $o ).
tff(decl_39,type,
epsilon_connected: $i > $o ).
tff(decl_40,type,
ordinal: $i > $o ).
tff(decl_41,type,
natural: $i > $o ).
tff(decl_42,type,
subset: ( $i * $i ) > $o ).
tff(decl_43,type,
esk1_1: $i > $i ).
tff(decl_44,type,
esk2_0: $i ).
tff(decl_45,type,
esk3_0: $i ).
tff(decl_46,type,
esk4_1: $i > $i ).
tff(decl_47,type,
esk5_0: $i ).
tff(decl_48,type,
esk6_1: $i > $i ).
tff(decl_49,type,
esk7_1: $i > $i ).
tff(decl_50,type,
esk8_0: $i ).
tff(decl_51,type,
esk9_1: $i > $i ).
tff(decl_52,type,
esk10_1: $i > $i ).
tff(decl_53,type,
esk11_1: $i > $i ).
tff(decl_54,type,
esk12_1: $i > $i ).
tff(decl_55,type,
esk13_0: $i ).
fof(t10_finsub_1,axiom,
! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> ( in(set_union2(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(t98_xboole_1,axiom,
! [X1,X2] : set_union2(X1,X2) = symmetric_difference(X1,set_difference(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_xboole_1) ).
fof(t15_finsub_1,conjecture,
! [X1] :
( ~ empty(X1)
=> ( ! [X2] :
( element(X2,X1)
=> ! [X3] :
( element(X3,X1)
=> ( in(symmetric_difference(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) )
=> preboolean(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finsub_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(c_0_4,plain,
! [X46,X47,X48,X49] :
( ( in(set_union2(X47,X48),X46)
| ~ in(X47,X46)
| ~ in(X48,X46)
| ~ preboolean(X46) )
& ( in(set_difference(X47,X48),X46)
| ~ in(X47,X46)
| ~ in(X48,X46)
| ~ preboolean(X46) )
& ( in(esk11_1(X49),X49)
| preboolean(X49) )
& ( in(esk12_1(X49),X49)
| preboolean(X49) )
& ( ~ in(set_union2(esk11_1(X49),esk12_1(X49)),X49)
| ~ in(set_difference(esk11_1(X49),esk12_1(X49)),X49)
| preboolean(X49) ) ),
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)],[t10_finsub_1])])])])])]) ).
fof(c_0_5,plain,
! [X76,X77] : set_union2(X76,X77) = symmetric_difference(X76,set_difference(X77,X76)),
inference(variable_rename,[status(thm)],[t98_xboole_1]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ~ empty(X1)
=> ( ! [X2] :
( element(X2,X1)
=> ! [X3] :
( element(X3,X1)
=> ( in(symmetric_difference(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) )
=> preboolean(X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_finsub_1])]) ).
cnf(c_0_7,plain,
( preboolean(X1)
| ~ in(set_union2(esk11_1(X1),esk12_1(X1)),X1)
| ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
set_union2(X1,X2) = symmetric_difference(X1,set_difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
! [X53,X54] :
( ~ empty(esk13_0)
& ( in(symmetric_difference(X53,X54),esk13_0)
| ~ element(X54,esk13_0)
| ~ element(X53,esk13_0) )
& ( in(set_difference(X53,X54),esk13_0)
| ~ element(X54,esk13_0)
| ~ element(X53,esk13_0) )
& ~ preboolean(esk13_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_10,plain,
( preboolean(X1)
| ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1)
| ~ in(symmetric_difference(esk11_1(X1),set_difference(esk12_1(X1),esk11_1(X1))),X1) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( in(symmetric_difference(X1,X2),esk13_0)
| ~ element(X2,esk13_0)
| ~ element(X1,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ preboolean(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X56,X57] :
( ~ in(X56,X57)
| element(X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_14,negated_conjecture,
( ~ element(set_difference(esk12_1(esk13_0),esk11_1(esk13_0)),esk13_0)
| ~ element(esk11_1(esk13_0),esk13_0)
| ~ in(set_difference(esk11_1(esk13_0),esk12_1(esk13_0)),esk13_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ element(esk11_1(esk13_0),esk13_0)
| ~ in(set_difference(esk11_1(esk13_0),esk12_1(esk13_0)),esk13_0)
| ~ in(set_difference(esk12_1(esk13_0),esk11_1(esk13_0)),esk13_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( in(set_difference(X1,X2),esk13_0)
| ~ element(X2,esk13_0)
| ~ element(X1,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
( ~ element(esk11_1(esk13_0),esk13_0)
| ~ element(esk12_1(esk13_0),esk13_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( ~ element(esk11_1(esk13_0),esk13_0)
| ~ in(esk12_1(esk13_0),esk13_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_20,plain,
( in(esk12_1(X1),X1)
| preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
~ element(esk11_1(esk13_0),esk13_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]) ).
cnf(c_0_22,negated_conjecture,
~ in(esk11_1(esk13_0),esk13_0),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_23,plain,
( in(esk11_1(X1),X1)
| preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU104+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 15:37:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 0.17/0.61 % Version : CSE_E---1.5
% 0.17/0.61 % Problem : theBenchmark.p
% 0.17/0.61 % Proof found
% 0.17/0.61 % SZS status Theorem for theBenchmark.p
% 0.17/0.61 % SZS output start Proof
% See solution above
% 0.17/0.62 % Total time : 0.026000 s
% 0.17/0.62 % SZS output end Proof
% 0.17/0.62 % Total time : 0.028000 s
%------------------------------------------------------------------------------