TSTP Solution File: SWC162-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 20:20:19 EDT 2023
% Result : Unsatisfiable 0.52s 0.68s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 112
% Syntax : Number of formulae : 218 ( 55 unt; 78 typ; 0 def)
% Number of atoms : 338 ( 75 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 391 ( 193 ~; 198 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 13 con; 0-2 aty)
% Number of variables : 139 ( 19 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 ).
tff(decl_95,type,
sk6: $i ).
tff(decl_96,type,
sk7: $i ).
tff(decl_97,type,
sk8: $i ).
tff(decl_98,type,
sk9: $i ).
tff(decl_99,type,
sk10: $i ).
cnf(co1_13,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_10,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_11,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_8,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_9,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_12,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause179,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause161,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_18,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause127,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(co1_7,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(clause56,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(clause65,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause183,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause183) ).
cnf(clause63,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(clause5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause5) ).
cnf(c_0_34,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
co1_13 ).
cnf(c_0_35,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_36,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_38,negated_conjecture,
ssList(sk7),
co1_10 ).
cnf(c_0_39,negated_conjecture,
ssList(sk8),
co1_11 ).
cnf(c_0_40,negated_conjecture,
( app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_41,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_42,negated_conjecture,
ssItem(sk5),
co1_8 ).
cnf(c_0_43,axiom,
ssList(nil),
clause8 ).
cnf(c_0_44,negated_conjecture,
app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_45,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_46,negated_conjecture,
app(app(app(sk7,cons(sk5,sk8)),cons(sk6,nil)),sk9) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_42]),c_0_39])]) ).
cnf(c_0_47,negated_conjecture,
( app(app(sk7,app(cons(sk5,sk8),cons(sk6,nil))),sk9) = sk3
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_38])]) ).
cnf(c_0_48,negated_conjecture,
( app(app(sk7,app(cons(sk5,sk8),cons(sk6,nil))),sk9) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_42]),c_0_39])]) ).
cnf(c_0_49,negated_conjecture,
ssItem(sk6),
co1_9 ).
cnf(c_0_50,negated_conjecture,
app(app(sk7,app(cons(sk5,sk8),cons(sk6,nil))),sk9) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_51,negated_conjecture,
ssList(sk9),
co1_12 ).
cnf(c_0_52,negated_conjecture,
( app(sk7,app(app(cons(sk5,sk8),cons(sk6,nil)),sk9)) = sk3
| ~ ssList(app(cons(sk5,sk8),cons(sk6,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_38]),c_0_51])]) ).
cnf(c_0_53,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_54,negated_conjecture,
( app(sk7,app(app(cons(sk5,sk8),cons(sk6,nil)),sk9)) = sk3
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( app(sk7,app(app(cons(sk5,sk8),cons(sk6,nil)),sk9)) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_41]),c_0_42]),c_0_39])]) ).
cnf(c_0_56,negated_conjecture,
app(sk7,app(app(cons(sk5,sk8),cons(sk6,nil)),sk9)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_57,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_58,negated_conjecture,
( app(sk7,app(cons(sk5,app(sk8,cons(sk6,nil))),sk9)) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_42]),c_0_39])]) ).
cnf(c_0_59,negated_conjecture,
app(sk7,app(cons(sk5,app(sk8,cons(sk6,nil))),sk9)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_60,negated_conjecture,
( app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk3
| ~ ssList(app(sk8,cons(sk6,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_42]),c_0_51])]) ).
cnf(c_0_61,negated_conjecture,
( app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_39])]) ).
cnf(c_0_62,negated_conjecture,
app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_63,negated_conjecture,
( app(sk7,cons(sk5,app(sk8,app(cons(sk6,nil),sk9)))) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_39]),c_0_51])]) ).
cnf(c_0_64,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
clause179 ).
cnf(c_0_65,negated_conjecture,
app(sk7,cons(sk5,app(sk8,app(cons(sk6,nil),sk9)))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_66,plain,
( ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_67,negated_conjecture,
app(sk7,cons(sk5,app(sk8,cons(sk6,sk9)))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_45]),c_0_49]),c_0_51])]) ).
cnf(c_0_68,negated_conjecture,
( ~ ssList(app(sk8,cons(sk6,sk9)))
| ~ ssList(app(sk3,cons(sk5,X1)))
| ~ ssList(X1)
| ~ duplicatefreeP(app(sk3,cons(sk5,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_42]),c_0_38])]) ).
cnf(c_0_69,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_70,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_71,negated_conjecture,
( ssItem(X1)
| ~ ssList(app(sk8,cons(sk6,sk9)))
| ~ ssList(app(sk3,cons(sk5,X2)))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_70,c_0_35]) ).
cnf(c_0_73,negated_conjecture,
( ssItem(X1)
| ~ ssList(app(sk8,cons(sk6,sk9)))
| ~ ssList(cons(sk5,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_53]),c_0_72])]) ).
cnf(c_0_74,negated_conjecture,
( ssItem(X1)
| ~ ssList(app(sk8,cons(sk6,sk9)))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_41]),c_0_42])]) ).
cnf(c_0_75,negated_conjecture,
( ssItem(X1)
| ~ ssList(cons(sk6,sk9))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_53]),c_0_39])]) ).
cnf(c_0_76,negated_conjecture,
( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk3
| ~ ssList(app(sk7,cons(sk5,sk8)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46]),c_0_51])]) ).
cnf(c_0_77,negated_conjecture,
( ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_41]),c_0_49]),c_0_51])]) ).
cnf(c_0_78,axiom,
ssList(skaf42(X1,X2)),
clause53 ).
cnf(c_0_79,negated_conjecture,
( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk3
| ~ ssList(app(sk7,cons(sk5,sk8))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_80,negated_conjecture,
ssItem(X1),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_82,negated_conjecture,
( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk3
| ~ ssList(cons(sk5,sk8)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_53]),c_0_38])]) ).
cnf(c_0_83,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_80])]) ).
cnf(c_0_84,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_85,negated_conjecture,
app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_39])]) ).
cnf(c_0_86,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_80])]) ).
cnf(c_0_87,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_80])]) ).
cnf(c_0_88,negated_conjecture,
app(app(sk7,cons(sk5,sk8)),cons(sk6,app(nil,sk9))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_51]),c_0_43])]) ).
cnf(c_0_89,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,sk8)))
| ~ ssList(app(nil,sk9)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_72])]) ).
cnf(c_0_90,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_91,negated_conjecture,
( memberP(sk3,sk5)
| ~ ssList(app(app(sk8,cons(sk6,nil)),sk9)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_62]),c_0_42]),c_0_72]),c_0_38])]) ).
cnf(c_0_92,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_93,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_94,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,sk8))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_51])]) ).
cnf(c_0_95,negated_conjecture,
( memberP(sk3,sk5)
| ~ ssList(app(sk8,cons(sk6,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_53]),c_0_51])]) ).
cnf(c_0_96,plain,
( X1 = X2
| memberP(X3,X2)
| ~ memberP(cons(X1,X3),X2)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_80]),c_0_80])]) ).
cnf(c_0_97,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101 ).
cnf(c_0_98,plain,
~ memberP(nil,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_80])]) ).
cnf(c_0_99,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(cons(sk5,sk8)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_53]),c_0_38])]) ).
cnf(c_0_100,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_101,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_102,negated_conjecture,
( memberP(sk3,sk5)
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_53]),c_0_39])]) ).
cnf(c_0_103,plain,
( skaf44(X1) = X2
| ~ memberP(X1,X2)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_43])]),c_0_98]) ).
cnf(c_0_104,negated_conjecture,
memberP(sk3,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_83]),c_0_39])]) ).
cnf(c_0_105,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
co1_18 ).
cnf(c_0_106,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_107,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
memberP(sk3,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_41]),c_0_49]),c_0_43])]) ).
cnf(c_0_109,negated_conjecture,
( skaf44(sk3) = sk6
| ~ singletonP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_72])]) ).
cnf(c_0_110,negated_conjecture,
( sk4 = nil
| singletonP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_43])]) ).
cnf(c_0_111,negated_conjecture,
( skaf44(sk3) = sk5
| ~ singletonP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_108]),c_0_72])]) ).
cnf(c_0_112,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127 ).
cnf(c_0_113,negated_conjecture,
segmentP(sk4,sk3),
co1_7 ).
cnf(c_0_114,negated_conjecture,
( skaf44(sk3) = sk6
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( skaf44(sk3) = sk5
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( sk3 = sk4
| ~ segmentP(sk3,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_107]),c_0_72])]) ).
cnf(c_0_117,negated_conjecture,
( sk4 = nil
| sk6 = sk5 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,negated_conjecture,
( sk6 = sk5
| sk3 = nil
| ~ segmentP(sk3,nil) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56 ).
cnf(c_0_120,negated_conjecture,
( sk3 = nil
| sk6 = sk5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_72])]) ).
cnf(c_0_121,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause65 ).
cnf(c_0_122,axiom,
ssItem(skaf44(X1)),
clause47 ).
cnf(c_0_123,negated_conjecture,
sk6 = sk5,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_120]),c_0_98]) ).
cnf(c_0_124,plain,
( duplicatefreeP(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_97]),c_0_122])]) ).
cnf(c_0_125,plain,
( ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_80])]) ).
cnf(c_0_126,negated_conjecture,
app(app(sk7,cons(sk5,sk8)),cons(sk5,sk9)) = sk3,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_90]),c_0_51])]),c_0_123]) ).
cnf(c_0_127,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
clause183 ).
cnf(c_0_128,negated_conjecture,
( sk4 = nil
| duplicatefreeP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_110]),c_0_72])]) ).
cnf(c_0_129,negated_conjecture,
~ duplicatefreeP(sk3),
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_125,c_0_126]),c_0_72]),c_0_51]),c_0_39]),c_0_38])]) ).
cnf(c_0_130,plain,
( lt(X1,X2)
| lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5))) ),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_131,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63 ).
cnf(c_0_132,negated_conjecture,
sk4 = nil,
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,plain,
( lt(X1,X2)
| lt(X2,X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_80]),c_0_80])]) ).
cnf(c_0_134,plain,
~ lt(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_80])]) ).
cnf(c_0_135,negated_conjecture,
( sk3 = nil
| ~ segmentP(sk3,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_132]),c_0_132]) ).
cnf(c_0_136,negated_conjecture,
~ strictorderP(sk3),
inference(sr,[status(thm)],[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_133,c_0_126]),c_0_72]),c_0_51]),c_0_39]),c_0_38])]),c_0_134]) ).
cnf(c_0_137,negated_conjecture,
sk3 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_119]),c_0_72])]) ).
cnf(c_0_138,axiom,
strictorderP(nil),
clause5 ).
cnf(c_0_139,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_138])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 16:21:14 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.52/0.68 % Version : CSE_E---1.5
% 0.52/0.68 % Problem : theBenchmark.p
% 0.52/0.68 % Proof found
% 0.52/0.68 % SZS status Theorem for theBenchmark.p
% 0.52/0.68 % SZS output start Proof
% See solution above
% 0.52/0.69 % Total time : 0.111000 s
% 0.52/0.69 % SZS output end Proof
% 0.52/0.69 % Total time : 0.117000 s
%------------------------------------------------------------------------------