TSTP Solution File: SWV046+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV046+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 : 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 21:36:18 EDT 2023
% Result : Theorem 0.18s 0.76s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 83
% Syntax : Number of formulae : 113 ( 33 unt; 74 typ; 0 def)
% Number of atoms : 82 ( 56 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 66 ( 23 ~; 16 |; 21 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 148 ( 52 >; 96 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 68 ( 68 usr; 21 con; 0-7 aty)
% Number of variables : 27 ( 2 sgn; 16 !; 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,
pv78: $i ).
tff(decl_56,type,
n135300: $i ).
tff(decl_57,type,
q: $i ).
tff(decl_58,type,
pv79: $i ).
tff(decl_59,type,
pv35: $i ).
tff(decl_60,type,
pv80: $i ).
tff(decl_61,type,
pv81: $i ).
tff(decl_62,type,
x: $i ).
tff(decl_63,type,
times: ( $i * $i ) > $i ).
tff(decl_64,type,
pv44: $i ).
tff(decl_65,type,
pv83: $i ).
tff(decl_66,type,
mu: $i ).
tff(decl_67,type,
divide: ( $i * $i ) > $i ).
tff(decl_68,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(cl5_nebula_norm_0010,conjecture,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> ( ( n0 != pv44
=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ) )
& ( n0 = pv44
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0010) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(sel2_update_1,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_9,plain,
! [X146] : pred(succ(X146)) = X146,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_10,plain,
! [X135] : plus(X135,n1) = succ(X135),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_11,plain,
! [X145] : minus(X145,n1) = pred(X145),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_12,plain,
! [X136] : plus(n1,X136) = succ(X136),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_13,negated_conjecture,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> ( ( n0 != pv44
=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ) )
& ( n0 = pv44
=> true ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0010]) ).
cnf(c_0_14,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_19,negated_conjecture,
( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1))
& ( n0 = pv44
| n0 != pv44 )
& ( ~ true
| n0 != pv44 )
& ( n0 = pv44
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1)) )
& ( ~ true
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_20,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_21,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_22,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( n0 = pv44
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
leq(n0,pv35),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
leq(pv35,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
fof(c_0_29,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_30,plain,
! [X133] : sum(n0,tptp_minus_1,X133) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_31,negated_conjecture,
( ~ true
| n0 != pv44 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_33,negated_conjecture,
( pv44 = n0
| sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_34,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
pv44 != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_35]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV046+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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 03:08:13 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.76 % Version : CSE_E---1.5
% 0.18/0.76 % Problem : theBenchmark.p
% 0.18/0.76 % Proof found
% 0.18/0.76 % SZS status Theorem for theBenchmark.p
% 0.18/0.76 % SZS output start Proof
% See solution above
% 0.18/0.77 % Total time : 0.200000 s
% 0.18/0.77 % SZS output end Proof
% 0.18/0.77 % Total time : 0.205000 s
%------------------------------------------------------------------------------