TSTP Solution File: SEU080+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU080+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 : n019.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 16:22:22 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 30
% Syntax : Number of formulae : 49 ( 12 unt; 26 typ; 0 def)
% Number of atoms : 63 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 61 ( 21 ~; 17 |; 16 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 14 >; 4 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn; 19 !; 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,
element: ( $i * $i ) > $o ).
tff(decl_29,type,
empty_set: $i ).
tff(decl_30,type,
relation_empty_yielding: $i > $o ).
tff(decl_31,type,
powerset: $i > $i ).
tff(decl_32,type,
relation_rng: $i > $i ).
tff(decl_33,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_34,type,
esk1_1: $i > $i ).
tff(decl_35,type,
esk2_0: $i ).
tff(decl_36,type,
esk3_0: $i ).
tff(decl_37,type,
esk4_1: $i > $i ).
tff(decl_38,type,
esk5_0: $i ).
tff(decl_39,type,
esk6_0: $i ).
tff(decl_40,type,
esk7_0: $i ).
tff(decl_41,type,
esk8_1: $i > $i ).
tff(decl_42,type,
esk9_0: $i ).
tff(decl_43,type,
esk10_0: $i ).
tff(decl_44,type,
esk11_0: $i ).
tff(decl_45,type,
esk12_0: $i ).
tff(decl_46,type,
esk13_0: $i ).
tff(decl_47,type,
esk14_0: $i ).
fof(t161_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t161_funct_1) ).
fof(t158_funct_1,axiom,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
& subset(X1,relation_rng(X3)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t158_funct_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[t161_funct_1]) ).
fof(c_0_5,plain,
! [X29,X30,X31] :
( ~ relation(X31)
| ~ function(X31)
| ~ subset(relation_inverse_image(X31,X29),relation_inverse_image(X31,X30))
| ~ subset(X29,relation_rng(X31))
| subset(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_funct_1])]) ).
fof(c_0_6,negated_conjecture,
( relation(esk14_0)
& function(esk14_0)
& relation_inverse_image(esk14_0,esk12_0) = relation_inverse_image(esk14_0,esk13_0)
& subset(esk12_0,relation_rng(esk14_0))
& subset(esk13_0,relation_rng(esk14_0))
& esk12_0 != esk13_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( subset(X2,X3)
| ~ relation(X1)
| ~ function(X1)
| ~ subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))
| ~ subset(X2,relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_inverse_image(esk14_0,esk12_0) = relation_inverse_image(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
subset(esk13_0,relation_rng(esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X28] : subset(X28,X28),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_13,plain,
! [X9,X10] :
( ( subset(X9,X10)
| X9 != X10 )
& ( subset(X10,X9)
| X9 != X10 )
& ( ~ subset(X9,X10)
| ~ subset(X10,X9)
| X9 = X10 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_14,negated_conjecture,
( subset(esk13_0,X1)
| ~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
subset(esk13_0,esk12_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
esk12_0 != esk13_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( subset(X1,esk13_0)
| ~ subset(relation_inverse_image(esk14_0,X1),relation_inverse_image(esk14_0,esk12_0))
| ~ subset(X1,relation_rng(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_10]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
subset(esk12_0,relation_rng(esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
~ subset(esk12_0,esk13_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n019.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 : Wed Aug 23 20:20:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.009000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.012000 s
%------------------------------------------------------------------------------