TSTP Solution File: SWV154+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV154+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 : n023.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 21:36:47 EDT 2023
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 74
% Syntax : Number of formulae : 80 ( 4 unt; 73 typ; 0 def)
% Number of atoms : 49 ( 18 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 49 ( 7 ~; 4 |; 28 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 149 ( 53 >; 96 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 19 con; 0-7 aty)
% Number of variables : 8 ( 0 sgn; 8 !; 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,
pv70: $i ).
tff(decl_56,type,
center: $i ).
tff(decl_57,type,
tptp_sum_index: $i ).
tff(decl_58,type,
x: $i ).
tff(decl_59,type,
pv10: $i ).
tff(decl_60,type,
times: ( $i * $i ) > $i ).
tff(decl_61,type,
sqrt: $i > $i ).
tff(decl_62,type,
pv12: $i ).
tff(decl_63,type,
n135299: $i ).
tff(decl_64,type,
q: $i ).
tff(decl_65,type,
divide: ( $i * $i ) > $i ).
tff(decl_66,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_67,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk24_0: $i ).
tff(decl_91,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
fof(cl5_nebula_norm_0004,conjecture,
( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv12)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,pv12) )
=> ( pv12 = X4
=> divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0004) ).
fof(c_0_1,negated_conjecture,
~ ( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv12)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,pv12) )
=> ( pv12 = X4
=> divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0004]) ).
fof(c_0_2,negated_conjecture,
! [X186,X187] :
( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ( ~ leq(n0,X186)
| ~ leq(X186,pred(pv12))
| a_select3(q,pv10,X186) = divide(sqrt(times(minus(a_select3(center,X186,n0),a_select2(x,pv10)),minus(a_select3(center,X186,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ( ~ leq(n0,X187)
| ~ leq(X187,pred(pv10))
| sum(n0,n4,a_select3(q,X187,tptp_sum_index)) = n1 )
& leq(n0,esk24_0)
& leq(esk24_0,pv12)
& pv12 = esk24_0
& divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
pv12 = esk24_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SWV154+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 07:25:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.020000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.023000 s
%------------------------------------------------------------------------------