TSTP Solution File: SWV221+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 21:37:04 EDT 2023
% Result : Theorem 0.63s 0.74s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 75
% Syntax : Number of formulae : 93 ( 11 unt; 72 typ; 0 def)
% Number of atoms : 227 ( 48 equ)
% Maximal formula atoms : 51 ( 10 avg)
% Number of connectives : 271 ( 65 ~; 56 |; 113 &)
% ( 1 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 65 ( 65 usr; 20 con; 0-7 aty)
% Number of variables : 62 ( 0 sgn; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
pv5: $i ).
tff(decl_56,type,
pv57: $i ).
tff(decl_57,type,
n998: $i ).
tff(decl_58,type,
pv58: $i ).
tff(decl_59,type,
q_ds1_filter: $i ).
tff(decl_60,type,
r_ds1_filter: $i ).
tff(decl_61,type,
pminus_ds1_filter: $i ).
tff(decl_62,type,
id_ds1_filter: $i ).
tff(decl_63,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_64,type,
epred2_0: $o ).
tff(decl_65,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk24_0: $i ).
tff(decl_89,type,
esk25_0: $i ).
tff(decl_90,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(quaternion_ds1_symm_0401,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0401) ).
fof(c_0_2,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred2_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(n0,pv57)
| ~ epred2_0 )
& ( leq(pv5,n998)
| ~ epred2_0 )
& ( leq(pv57,n5)
| ~ epred2_0 )
& ( leq(pv58,n5)
| ~ epred2_0 )
& ( gt(pv58,pv57)
| ~ epred2_0 )
& ( ~ leq(n0,X204)
| ~ leq(n0,X205)
| ~ leq(X204,n5)
| ~ leq(X205,n5)
| a_select3(q_ds1_filter,X204,X205) = a_select3(q_ds1_filter,X205,X204)
| ~ epred2_0 )
& ( ~ leq(n0,X206)
| ~ leq(n0,X207)
| ~ leq(X206,n2)
| ~ leq(X207,n2)
| a_select3(r_ds1_filter,X206,X207) = a_select3(r_ds1_filter,X207,X206)
| ~ epred2_0 )
& ( ~ leq(n0,X208)
| ~ leq(n0,X209)
| ~ leq(X208,n5)
| ~ leq(X209,n5)
| a_select3(pminus_ds1_filter,X208,X209) = a_select3(pminus_ds1_filter,X209,X208)
| ~ epred2_0 )
& ( ~ leq(n0,X210)
| ~ leq(n0,X211)
| ~ leq(X210,n5)
| ~ leq(X211,n5)
| X210 != pv57
| ~ gt(pv58,X211)
| a_select3(id_ds1_filter,X210,X211) = a_select3(id_ds1_filter,X211,X210)
| ~ epred2_0 )
& ( ~ leq(n0,X212)
| ~ leq(n0,X213)
| ~ leq(X212,n5)
| ~ leq(X213,n5)
| ~ gt(pv57,X212)
| a_select3(id_ds1_filter,X212,X213) = a_select3(id_ds1_filter,X213,X212)
| ~ epred2_0 )
& ( ~ leq(n0,X214)
| ~ leq(X214,pred(pv57))
| ~ leq(n0,X215)
| ~ leq(X215,n5)
| a_select3(id_ds1_filter,X214,X215) = a_select3(id_ds1_filter,X215,X214)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_6,negated_conjecture,
~ ( epred2_0
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0401]),c_0_2]) ).
cnf(c_0_7,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv57))
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
( epred2_0
& leq(n0,esk24_0)
& leq(esk24_0,pred(pv57))
& leq(n0,esk25_0)
& leq(esk25_0,n5)
& ( pv57 != esk25_0
| esk25_0 != esk24_0 )
& pv57 != esk24_0
& a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred2_0
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv57,n1)) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
leq(esk24_0,pred(pv57)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X1,minus(pv57,n1))
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
leq(esk24_0,minus(pv57,n1)),
inference(rw,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
leq(n0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( a_select3(id_ds1_filter,esk24_0,X1) = a_select3(id_ds1_filter,X1,esk24_0)
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
leq(esk25_0,n5),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
leq(n0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 08:04:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.63/0.74 % Version : CSE_E---1.5
% 0.63/0.74 % Problem : theBenchmark.p
% 0.63/0.74 % Proof found
% 0.63/0.74 % SZS status Theorem for theBenchmark.p
% 0.63/0.74 % SZS output start Proof
% See solution above
% 0.63/0.75 % Total time : 0.156000 s
% 0.63/0.75 % SZS output end Proof
% 0.63/0.75 % Total time : 0.161000 s
%------------------------------------------------------------------------------