TSTP Solution File: MSC010+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 09:21:03 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 50
% Syntax : Number of formulae : 69 ( 13 unt; 47 typ; 0 def)
% Number of atoms : 260 ( 63 equ)
% Maximal formula atoms : 68 ( 11 avg)
% Number of connectives : 272 ( 34 ~; 20 |; 166 &)
% ( 1 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
pv63: $i ).
tff(decl_23,type,
pv64: $i ).
tff(decl_24,type,
n0: $i ).
tff(decl_25,type,
pv5: $i ).
tff(decl_26,type,
leq: ( $i * $i ) > $o ).
tff(decl_27,type,
n998: $i ).
tff(decl_28,type,
n5: $i ).
tff(decl_29,type,
n2: $i ).
tff(decl_30,type,
h_ds1_filter_init: $i ).
tff(decl_31,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
init: $i ).
tff(decl_33,type,
phi_ds1_filter_init: $i ).
tff(decl_34,type,
dv_ds1_filter_init: $i ).
tff(decl_35,type,
q_ds1_filter_init: $i ).
tff(decl_36,type,
r_ds1_filter_init: $i ).
tff(decl_37,type,
xhatmin_ds1_filter_init: $i ).
tff(decl_38,type,
pminus_ds1_filter_init: $i ).
tff(decl_39,type,
gt: ( $i * $i ) > $o ).
tff(decl_40,type,
id_ds1_filter_init: $i ).
tff(decl_41,type,
pred: $i > $i ).
tff(decl_42,type,
epred1_0: $o ).
tff(decl_43,type,
epred2_0: $o ).
tff(decl_44,type,
epred3_0: $o ).
tff(decl_45,type,
epred4_0: $o ).
tff(decl_46,type,
epred5_0: $o ).
tff(decl_47,type,
esk1_0: $i ).
tff(decl_48,type,
esk2_0: $i ).
tff(decl_49,type,
esk3_0: $i ).
tff(decl_50,type,
esk4_0: $i ).
tff(decl_51,type,
esk5_0: $i ).
tff(decl_52,type,
esk6_0: $i ).
tff(decl_53,type,
esk7_0: $i ).
tff(decl_54,type,
esk8_0: $i ).
tff(decl_55,type,
esk9_0: $i ).
tff(decl_56,type,
esk10_0: $i ).
tff(decl_57,type,
esk11_0: $i ).
tff(decl_58,type,
esk12_0: $i ).
tff(decl_59,type,
esk13_0: $i ).
tff(decl_60,type,
esk14_0: $i ).
tff(decl_61,type,
esk15_0: $i ).
tff(decl_62,type,
esk16_0: $i ).
tff(decl_63,type,
esk17_0: $i ).
tff(decl_64,type,
esk18_0: $i ).
tff(decl_65,type,
esk19_0: $i ).
tff(decl_66,type,
esk20_0: $i ).
tff(decl_67,type,
esk21_0: $i ).
tff(decl_68,type,
esk22_0: $i ).
fof(n91,conjecture,
~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n91) ).
fof(n1,axiom,
( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1) ).
fof(c_0_2,plain,
( epred5_0
<=> ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ~ ( epred5_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[n91]),c_0_2]) ).
fof(c_0_4,axiom,
( epred5_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
inference(apply_def,[status(thm)],[n1,c_0_2]) ).
fof(c_0_5,negated_conjecture,
( epred5_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n5)
& leq(esk2_0,n5)
& pv64 != esk2_0
& esk1_0 = pv63
& leq(esk2_0,pv64)
& a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X23,X24] :
( ~ epred5_0
| ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n5)
| ~ leq(X24,n5)
| pv64 = X24
| X23 != pv63
| ~ leq(X24,pv64)
| a_select3(id_ds1_filter_init,X23,X24) = init ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,negated_conjecture,
leq(esk1_0,n5),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
esk1_0 = pv63,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( pv64 = X2
| a_select3(id_ds1_filter_init,X1,X2) = init
| ~ epred5_0
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| X1 != pv63
| ~ leq(X2,pv64) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
epred5_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
leq(pv63,n5),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
leq(n0,pv63),
inference(rw,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( a_select3(id_ds1_filter_init,pv63,X1) = init
| pv64 = X1
| ~ leq(X1,pv64)
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])])]),c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
leq(esk2_0,pv64),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
leq(esk2_0,n5),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
a_select3(id_ds1_filter_init,pv63,esk2_0) != init,
inference(rw,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
pv64 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 13:34:50 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.015000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.018000 s
%------------------------------------------------------------------------------