TSTP Solution File: SWC220-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 20:20:49 EDT 2023
% Result : Unsatisfiable 0.15s 0.56s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 88
% Syntax : Number of formulae : 111 ( 14 unt; 76 typ; 0 def)
% Number of atoms : 97 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 56 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 66 >; 19 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 10 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
nil: $i ).
tff(decl_23,type,
equalelemsP: $i > $o ).
tff(decl_24,type,
duplicatefreeP: $i > $o ).
tff(decl_25,type,
strictorderedP: $i > $o ).
tff(decl_26,type,
totalorderedP: $i > $o ).
tff(decl_27,type,
strictorderP: $i > $o ).
tff(decl_28,type,
totalorderP: $i > $o ).
tff(decl_29,type,
cyclefreeP: $i > $o ).
tff(decl_30,type,
ssList: $i > $o ).
tff(decl_31,type,
skac3: $i ).
tff(decl_32,type,
ssItem: $i > $o ).
tff(decl_33,type,
skac2: $i ).
tff(decl_34,type,
singletonP: $i > $o ).
tff(decl_35,type,
skaf83: $i > $i ).
tff(decl_36,type,
skaf82: $i > $i ).
tff(decl_37,type,
skaf81: $i > $i ).
tff(decl_38,type,
skaf80: $i > $i ).
tff(decl_39,type,
skaf79: $i > $i ).
tff(decl_40,type,
skaf78: $i > $i ).
tff(decl_41,type,
skaf77: $i > $i ).
tff(decl_42,type,
skaf76: $i > $i ).
tff(decl_43,type,
skaf75: $i > $i ).
tff(decl_44,type,
skaf74: $i > $i ).
tff(decl_45,type,
skaf73: $i > $i ).
tff(decl_46,type,
skaf72: $i > $i ).
tff(decl_47,type,
skaf71: $i > $i ).
tff(decl_48,type,
skaf70: $i > $i ).
tff(decl_49,type,
skaf69: $i > $i ).
tff(decl_50,type,
skaf68: $i > $i ).
tff(decl_51,type,
skaf67: $i > $i ).
tff(decl_52,type,
skaf66: $i > $i ).
tff(decl_53,type,
skaf65: $i > $i ).
tff(decl_54,type,
skaf64: $i > $i ).
tff(decl_55,type,
skaf63: $i > $i ).
tff(decl_56,type,
skaf62: $i > $i ).
tff(decl_57,type,
skaf61: $i > $i ).
tff(decl_58,type,
skaf60: $i > $i ).
tff(decl_59,type,
skaf59: $i > $i ).
tff(decl_60,type,
skaf58: $i > $i ).
tff(decl_61,type,
skaf57: $i > $i ).
tff(decl_62,type,
skaf56: $i > $i ).
tff(decl_63,type,
skaf55: $i > $i ).
tff(decl_64,type,
skaf54: $i > $i ).
tff(decl_65,type,
skaf53: $i > $i ).
tff(decl_66,type,
skaf52: $i > $i ).
tff(decl_67,type,
skaf51: $i > $i ).
tff(decl_68,type,
skaf50: $i > $i ).
tff(decl_69,type,
skaf49: $i > $i ).
tff(decl_70,type,
skaf44: $i > $i ).
tff(decl_71,type,
skaf48: ( $i * $i ) > $i ).
tff(decl_72,type,
skaf47: ( $i * $i ) > $i ).
tff(decl_73,type,
skaf46: ( $i * $i ) > $i ).
tff(decl_74,type,
skaf45: ( $i * $i ) > $i ).
tff(decl_75,type,
skaf43: ( $i * $i ) > $i ).
tff(decl_76,type,
skaf42: ( $i * $i ) > $i ).
tff(decl_77,type,
geq: ( $i * $i ) > $o ).
tff(decl_78,type,
segmentP: ( $i * $i ) > $o ).
tff(decl_79,type,
rearsegP: ( $i * $i ) > $o ).
tff(decl_80,type,
frontsegP: ( $i * $i ) > $o ).
tff(decl_81,type,
leq: ( $i * $i ) > $o ).
tff(decl_82,type,
lt: ( $i * $i ) > $o ).
tff(decl_83,type,
cons: ( $i * $i ) > $i ).
tff(decl_84,type,
memberP: ( $i * $i ) > $o ).
tff(decl_85,type,
app: ( $i * $i ) > $i ).
tff(decl_86,type,
tl: $i > $i ).
tff(decl_87,type,
hd: $i > $i ).
tff(decl_88,type,
neq: ( $i * $i ) > $o ).
tff(decl_89,type,
gt: ( $i * $i ) > $o ).
tff(decl_90,type,
sk1: $i ).
tff(decl_91,type,
sk2: $i ).
tff(decl_92,type,
sk3: $i ).
tff(decl_93,type,
sk4: $i ).
tff(decl_94,type,
sk5: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
sk6: $i ).
tff(decl_96,type,
sk7: $i ).
tff(decl_97,type,
sk8: $i ).
cnf(co1_16,negated_conjecture,
( nil = sk3
| app(app(sk7,cons(sk6,nil)),sk8) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_7,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_13,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_15,negated_conjecture,
( nil = sk3
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_14,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_17,negated_conjecture,
( nil = sk3
| leq(X1,sk6)
| ~ ssItem(X1)
| ~ memberP(sk7,X1)
| ~ memberP(sk8,X1)
| ~ leq(sk6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_9,negated_conjecture,
( memberP(X2,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_10,negated_conjecture,
( memberP(X3,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_11,negated_conjecture,
( leq(X1,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_12,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1
| ~ leq(sk5(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_0_12,negated_conjecture,
( nil = sk3
| app(app(sk7,cons(sk6,nil)),sk8) = sk3 ),
co1_16 ).
cnf(c_0_13,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_14,negated_conjecture,
nil != sk1,
co1_7 ).
cnf(c_0_15,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
co1_13 ).
cnf(c_0_16,negated_conjecture,
( nil = sk3
| ssList(sk8) ),
co1_15 ).
cnf(c_0_17,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
co1_14 ).
cnf(c_0_18,negated_conjecture,
( nil = sk3
| leq(X1,sk6)
| ~ ssItem(X1)
| ~ memberP(sk7,X1)
| ~ memberP(sk8,X1)
| ~ leq(sk6,X1) ),
co1_17 ).
cnf(c_0_19,negated_conjecture,
( memberP(X2,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
co1_9 ).
cnf(c_0_20,negated_conjecture,
app(app(sk7,cons(sk6,nil)),sk8) = sk1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
ssItem(sk6),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
ssList(sk8),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
ssList(sk7),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( memberP(X3,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
co1_10 ).
cnf(c_0_25,negated_conjecture,
( leq(X1,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
co1_11 ).
cnf(c_0_26,negated_conjecture,
( ssItem(sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
co1_8 ).
cnf(c_0_27,negated_conjecture,
( leq(X1,sk6)
| ~ memberP(sk7,X1)
| ~ memberP(sk8,X1)
| ~ leq(sk6,X1)
| ~ ssItem(X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13]),c_0_14]) ).
cnf(c_0_28,negated_conjecture,
memberP(sk7,sk5(sk8,sk7,sk6)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
memberP(sk8,sk5(sk8,sk7,sk6)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_30,negated_conjecture,
leq(sk6,sk5(sk8,sk7,sk6)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
ssItem(sk5(sk8,sk7,sk6)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_32,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1
| ~ leq(sk5(X3,X2,X1),X1) ),
co1_12 ).
cnf(c_0_33,negated_conjecture,
leq(sk5(sk8,sk7,sk6),sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 18:31:15 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.15/0.52 start to proof: theBenchmark
% 0.15/0.56 % Version : CSE_E---1.5
% 0.15/0.56 % Problem : theBenchmark.p
% 0.15/0.56 % Proof found
% 0.15/0.56 % SZS status Theorem for theBenchmark.p
% 0.15/0.56 % SZS output start Proof
% See solution above
% 0.15/0.56 % Total time : 0.036000 s
% 0.15/0.56 % SZS output end Proof
% 0.15/0.56 % Total time : 0.040000 s
%------------------------------------------------------------------------------