TSTP Solution File: SEU046+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU046+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 16:22:15 EDT 2023
% Result : Theorem 0.24s 0.67s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 36
% Syntax : Number of formulae : 57 ( 6 unt; 30 typ; 0 def)
% Number of atoms : 159 ( 17 equ)
% Maximal formula atoms : 79 ( 5 avg)
% Number of connectives : 220 ( 88 ~; 96 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 19 >; 10 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 52 ( 5 sgn; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
function: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
one_to_one: $i > $o ).
tff(decl_27,type,
subset: ( $i * $i ) > $o ).
tff(decl_28,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_29,type,
element: ( $i * $i ) > $o ).
tff(decl_30,type,
empty_set: $i ).
tff(decl_31,type,
relation_empty_yielding: $i > $o ).
tff(decl_32,type,
powerset: $i > $i ).
tff(decl_33,type,
relation_dom: $i > $i ).
tff(decl_34,type,
relation_rng: $i > $i ).
tff(decl_35,type,
apply: ( $i * $i ) > $i ).
tff(decl_36,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk2_1: $i > $i ).
tff(decl_38,type,
esk3_0: $i ).
tff(decl_39,type,
esk4_0: $i ).
tff(decl_40,type,
esk5_1: $i > $i ).
tff(decl_41,type,
esk6_0: $i ).
tff(decl_42,type,
esk7_0: $i ).
tff(decl_43,type,
esk8_0: $i ).
tff(decl_44,type,
esk9_1: $i > $i ).
tff(decl_45,type,
esk10_0: $i ).
tff(decl_46,type,
esk11_0: $i ).
tff(decl_47,type,
esk12_0: $i ).
tff(decl_48,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk15_0: $i ).
tff(decl_51,type,
esk16_0: $i ).
fof(t89_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
& subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_funct_1) ).
fof(t118_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
fof(t85_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(fc5_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
& subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ) ),
inference(assume_negation,[status(cth)],[t89_funct_1]) ).
fof(c_0_7,negated_conjecture,
( relation(esk16_0)
& function(esk16_0)
& ( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0))
| ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X40,X41] :
( ~ relation(X41)
| subset(relation_rng(relation_rng_restriction(X40,X41)),relation_rng(X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_relat_1])]) ).
fof(c_0_9,plain,
! [X57,X58,X59,X60,X61,X62] :
( ( in(X60,relation_dom(X59))
| ~ in(X60,relation_dom(X58))
| X58 != relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( in(apply(X59,X60),X57)
| ~ in(X60,relation_dom(X58))
| X58 != relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( ~ in(X61,relation_dom(X59))
| ~ in(apply(X59,X61),X57)
| in(X61,relation_dom(X58))
| X58 != relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( ~ in(X62,relation_dom(X58))
| apply(X58,X62) = apply(X59,X62)
| X58 != relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( in(esk14_3(X57,X58,X59),relation_dom(X58))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X58))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X59))
| ~ in(apply(X59,esk13_3(X57,X58,X59)),X57)
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X58))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X59))
| ~ in(apply(X59,esk13_3(X57,X58,X59)),X57)
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( in(esk14_3(X57,X58,X59),relation_dom(X58))
| in(esk13_3(X57,X58,X59),relation_dom(X59))
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59))
| in(esk13_3(X57,X58,X59),relation_dom(X59))
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( in(esk14_3(X57,X58,X59),relation_dom(X58))
| in(apply(X59,esk13_3(X57,X58,X59)),X57)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) )
& ( apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59))
| in(apply(X59,esk13_3(X57,X58,X59)),X57)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| X58 = relation_rng_restriction(X57,X59)
| ~ relation(X59)
| ~ function(X59)
| ~ relation(X58)
| ~ function(X58) ) ),
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)],[t85_funct_1])])])])])]) ).
fof(c_0_10,plain,
! [X21,X22] :
( ( relation(relation_rng_restriction(X21,X22))
| ~ relation(X22)
| ~ function(X22) )
& ( function(relation_rng_restriction(X21,X22))
| ~ relation(X22)
| ~ function(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])]) ).
fof(c_0_11,plain,
! [X16,X17] :
( ~ relation(X17)
| relation(relation_rng_restriction(X16,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_12,negated_conjecture,
( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0))
| ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( subset(relation_rng(relation_rng_restriction(X2,X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X10,X11,X12,X13,X14] :
( ( ~ subset(X10,X11)
| ~ in(X12,X10)
| in(X12,X11) )
& ( in(esk1_2(X13,X14),X13)
| subset(X13,X14) )
& ( ~ in(esk1_2(X13,X14),X14)
| subset(X13,X14) ) ),
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)],[d3_tarski])])])])])]) ).
cnf(c_0_16,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(X3))
| X3 != relation_rng_restriction(X4,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( function(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_20,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_23,negated_conjecture,
in(esk1_2(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),relation_dom(relation_rng_restriction(esk15_0,esk16_0))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
~ in(esk1_2(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),relation_dom(esk16_0)),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SEU046+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.39 % Computer : n002.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Wed Aug 23 16:46:01 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.24/0.65 start to proof: theBenchmark
% 0.24/0.67 % Version : CSE_E---1.5
% 0.24/0.67 % Problem : theBenchmark.p
% 0.24/0.67 % Proof found
% 0.24/0.67 % SZS status Theorem for theBenchmark.p
% 0.24/0.67 % SZS output start Proof
% See solution above
% 0.24/0.68 % Total time : 0.015000 s
% 0.24/0.68 % SZS output end Proof
% 0.24/0.68 % Total time : 0.018000 s
%------------------------------------------------------------------------------