TSTP Solution File: SEU200+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU200+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 : n016.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 16:23:16 EDT 2023
% Result : Theorem 0.22s 0.59s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 37 ( 6 unt; 19 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 16 ~; 13 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 12 >; 4 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 5 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
relation: $i > $o ).
tff(decl_25,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_26,type,
element: ( $i * $i ) > $o ).
tff(decl_27,type,
powerset: $i > $i ).
tff(decl_28,type,
empty_set: $i ).
tff(decl_29,type,
relation_dom: $i > $i ).
tff(decl_30,type,
relation_rng: $i > $i ).
tff(decl_31,type,
subset: ( $i * $i ) > $o ).
tff(decl_32,type,
esk1_1: $i > $i ).
tff(decl_33,type,
esk2_0: $i ).
tff(decl_34,type,
esk3_1: $i > $i ).
tff(decl_35,type,
esk4_0: $i ).
tff(decl_36,type,
esk5_0: $i ).
tff(decl_37,type,
esk6_1: $i > $i ).
tff(decl_38,type,
esk7_0: $i ).
tff(decl_39,type,
esk8_0: $i ).
tff(decl_40,type,
esk9_0: $i ).
fof(t118_relat_1,conjecture,
! [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(t117_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_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(t25_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
inference(assume_negation,[status(cth)],[t118_relat_1]) ).
fof(c_0_5,plain,
! [X25,X26] :
( ~ relation(X26)
| subset(relation_rng_restriction(X25,X26),X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_relat_1])]) ).
fof(c_0_6,negated_conjecture,
( relation(esk9_0)
& ~ subset(relation_rng(relation_rng_restriction(esk8_0,esk9_0)),relation_rng(esk9_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X7,X8] :
( ~ relation(X8)
| relation(relation_rng_restriction(X7,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
fof(c_0_8,plain,
! [X31,X32] :
( ( subset(relation_dom(X31),relation_dom(X32))
| ~ subset(X31,X32)
| ~ relation(X32)
| ~ relation(X31) )
& ( subset(relation_rng(X31),relation_rng(X32))
| ~ subset(X31,X32)
| ~ relation(X32)
| ~ relation(X31) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])]) ).
cnf(c_0_9,plain,
( subset(relation_rng_restriction(X2,X1),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( subset(relation_rng(X1),relation_rng(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
subset(relation_rng_restriction(X1,esk9_0),esk9_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
relation(relation_rng_restriction(X1,esk9_0)),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(esk8_0,esk9_0)),relation_rng(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
subset(relation_rng(relation_rng_restriction(X1,esk9_0)),relation_rng(esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 02:07:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.57 start to proof: theBenchmark
% 0.22/0.59 % Version : CSE_E---1.5
% 0.22/0.59 % Problem : theBenchmark.p
% 0.22/0.59 % Proof found
% 0.22/0.59 % SZS status Theorem for theBenchmark.p
% 0.22/0.59 % SZS output start Proof
% See solution above
% 0.22/0.59 % Total time : 0.008000 s
% 0.22/0.59 % SZS output end Proof
% 0.22/0.59 % Total time : 0.011000 s
%------------------------------------------------------------------------------