TSTP Solution File: SWV135+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV135+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 : n002.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 21:36:42 EDT 2023
% Result : Theorem 0.17s 0.62s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 69
% Syntax : Number of formulae : 81 ( 6 unt; 65 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 44 ( 10 ~; 7 |; 23 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 59 ( 59 usr; 14 con; 0-7 aty)
% Number of variables : 16 ( 0 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,
s_best7: $i ).
tff(decl_56,type,
s_sworst7: $i ).
tff(decl_57,type,
s_worst7: $i ).
tff(decl_58,type,
pv1325: $i ).
tff(decl_59,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_60,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(gauss_array_0005,conjecture,
( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0005) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(c_0_4,negated_conjecture,
~ ( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
inference(assume_negation,[status(cth)],[gauss_array_0005]) ).
fof(c_0_5,plain,
! [X35,X36,X37] :
( ~ leq(X35,X36)
| ~ leq(X36,X37)
| leq(X35,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_6,negated_conjecture,
( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& ~ leq(n0,pv1325) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X42,X43] :
( ~ gt(X43,X42)
| leq(X42,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_8,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
leq(n2,pv1325),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_12,negated_conjecture,
~ leq(n0,pv1325),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( leq(X1,pv1325)
| ~ leq(X1,n2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
leq(n0,n2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV135+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 03:38:04 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 0.17/0.62 % Version : CSE_E---1.5
% 0.17/0.62 % Problem : theBenchmark.p
% 0.17/0.62 % Proof found
% 0.17/0.62 % SZS status Theorem for theBenchmark.p
% 0.17/0.62 % SZS output start Proof
% See solution above
% 0.17/0.63 % Total time : 0.040000 s
% 0.17/0.63 % SZS output end Proof
% 0.17/0.63 % Total time : 0.045000 s
%------------------------------------------------------------------------------