TSTP Solution File: SWV056+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 21:36:20 EDT 2023
% Result : Theorem 0.21s 0.70s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 71
% Syntax : Number of formulae : 95 ( 27 unt; 64 typ; 0 def)
% Number of atoms : 45 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 4 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 58 ( 58 usr; 13 con; 0-7 aty)
% Number of variables : 18 ( 1 sgn; 10 !; 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,
pv25: $i ).
tff(decl_56,type,
q: $i ).
tff(decl_57,type,
pv77: $i ).
tff(decl_58,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(cl5_nebula_norm_0040,conjecture,
( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(c_0_7,plain,
! [X146] : pred(succ(X146)) = X146,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_8,plain,
! [X135] : plus(X135,n1) = succ(X135),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_9,plain,
! [X145] : minus(X145,n1) = pred(X145),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_10,plain,
! [X136] : plus(n1,X136) = succ(X136),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_11,negated_conjecture,
~ ( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0040]) ).
cnf(c_0_12,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_17,negated_conjecture,
( leq(n0,pv25)
& leq(pv25,minus(n5,n1))
& ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_20,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
leq(n0,pv25),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
leq(pv25,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_26,plain,
! [X133] : sum(n0,tptp_minus_1,X133) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_27,negated_conjecture,
sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_28,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 04:10:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.69 % Version : CSE_E---1.5
% 0.21/0.69 % Problem : theBenchmark.p
% 0.21/0.69 % Proof found
% 0.21/0.70 % SZS status Theorem for theBenchmark.p
% 0.21/0.70 % SZS output start Proof
% See solution above
% 0.21/0.70 % Total time : 0.112000 s
% 0.21/0.70 % SZS output end Proof
% 0.21/0.70 % Total time : 0.117000 s
%------------------------------------------------------------------------------