TSTP Solution File: SEU355+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 16:24:43 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 44 ( 6 unt; 21 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 106 ( 39 ~; 42 |; 11 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 13 >; 12 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 34 ( 1 sgn; 24 !; 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,
rel_str: $i > $o ).
tff(decl_26,type,
the_carrier: $i > $i ).
tff(decl_27,type,
element: ( $i * $i ) > $o ).
tff(decl_28,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
one_sorted_str: $i > $o ).
tff(decl_32,type,
empty_set: $i ).
tff(decl_33,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_0: $i ).
tff(decl_36,type,
esk4_0: $i ).
tff(decl_37,type,
esk5_1: $i > $i ).
tff(decl_38,type,
esk6_0: $i ).
tff(decl_39,type,
esk7_0: $i ).
tff(decl_40,type,
esk8_0: $i ).
tff(decl_41,type,
esk9_0: $i ).
tff(decl_42,type,
esk10_0: $i ).
fof(t6_yellow_0,conjecture,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(d9_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3) ).
fof(d8_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
inference(assume_negation,[status(cth)],[t6_yellow_0]) ).
fof(c_0_6,plain,
! [X13,X14,X15,X16] :
( ( ~ relstr_set_smaller(X13,X14,X15)
| ~ element(X16,the_carrier(X13))
| ~ in(X16,X14)
| related(X13,X16,X15)
| ~ element(X15,the_carrier(X13))
| ~ rel_str(X13) )
& ( element(esk2_3(X13,X14,X15),the_carrier(X13))
| relstr_set_smaller(X13,X14,X15)
| ~ element(X15,the_carrier(X13))
| ~ rel_str(X13) )
& ( in(esk2_3(X13,X14,X15),X14)
| relstr_set_smaller(X13,X14,X15)
| ~ element(X15,the_carrier(X13))
| ~ rel_str(X13) )
& ( ~ related(X13,esk2_3(X13,X14,X15),X15)
| relstr_set_smaller(X13,X14,X15)
| ~ element(X15,the_carrier(X13))
| ~ rel_str(X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])]) ).
fof(c_0_7,negated_conjecture,
( rel_str(esk9_0)
& element(esk10_0,the_carrier(esk9_0))
& ( ~ relstr_set_smaller(esk9_0,empty_set,esk10_0)
| ~ relstr_element_smaller(esk9_0,empty_set,esk10_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( in(esk2_3(X1,X2,X3),X2)
| relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
element(esk10_0,the_carrier(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
rel_str(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X8,X9,X10,X11] :
( ( ~ relstr_element_smaller(X8,X9,X10)
| ~ element(X11,the_carrier(X8))
| ~ in(X11,X9)
| related(X8,X10,X11)
| ~ element(X10,the_carrier(X8))
| ~ rel_str(X8) )
& ( element(esk1_3(X8,X9,X10),the_carrier(X8))
| relstr_element_smaller(X8,X9,X10)
| ~ element(X10,the_carrier(X8))
| ~ rel_str(X8) )
& ( in(esk1_3(X8,X9,X10),X9)
| relstr_element_smaller(X8,X9,X10)
| ~ element(X10,the_carrier(X8))
| ~ rel_str(X8) )
& ( ~ related(X8,X10,esk1_3(X8,X9,X10))
| relstr_element_smaller(X8,X9,X10)
| ~ element(X10,the_carrier(X8))
| ~ rel_str(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_lattice3])])])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ relstr_set_smaller(esk9_0,empty_set,esk10_0)
| ~ relstr_element_smaller(esk9_0,empty_set,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( relstr_set_smaller(esk9_0,X1,esk10_0)
| in(esk2_3(esk9_0,X1,esk10_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_14,plain,
( in(esk1_3(X1,X2,X3),X2)
| relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X33,X34] :
( ~ in(X33,X34)
| ~ empty(X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_16,negated_conjecture,
( in(esk2_3(esk9_0,empty_set,esk10_0),empty_set)
| ~ relstr_element_smaller(esk9_0,empty_set,esk10_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( relstr_element_smaller(esk9_0,X1,esk10_0)
| in(esk1_3(esk9_0,X1,esk10_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_10])]) ).
cnf(c_0_18,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( in(esk1_3(esk9_0,empty_set,esk10_0),empty_set)
| in(esk2_3(esk9_0,empty_set,esk10_0),empty_set) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_21,negated_conjecture,
in(esk1_3(esk9_0,empty_set,esk10_0),empty_set),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 15:56:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.045000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.048000 s
%------------------------------------------------------------------------------