TSTP Solution File: SWC061-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC061-1 : 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 : n022.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 20:19:29 EDT 2023
% Result : Unsatisfiable 0.62s 0.97s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 116
% Syntax : Number of formulae : 241 ( 23 unt; 74 typ; 0 def)
% Number of atoms : 443 ( 187 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 487 ( 211 ~; 276 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 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 : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 152 ( 12 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 ).
cnf(co1_12,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(clause144,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_10,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_9,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(clause132,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(co1_11,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(clause171,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause143,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(clause153,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause153) ).
cnf(clause173,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(co1_13,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(co1_7,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_14,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(clause115,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_0_42,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
co1_12 ).
cnf(c_0_43,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_44,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144 ).
cnf(c_0_45,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_46,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
co1_10 ).
cnf(c_0_47,negated_conjecture,
( sk4 = nil
| neq(sk4,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
co1_9 ).
cnf(c_0_49,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( sk4 = nil
| ssList(sk6) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
co1_8 ).
cnf(c_0_53,negated_conjecture,
( sk4 = nil
| frontsegP(sk4,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_54,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_55,axiom,
ssList(nil),
clause8 ).
cnf(c_0_56,negated_conjecture,
( sk4 = nil
| ssItem(sk5) ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_58,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132 ).
cnf(c_0_59,negated_conjecture,
( sk4 = nil
| frontsegP(sk4,cons(sk5,nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_57,c_0_43]) ).
cnf(c_0_61,negated_conjecture,
( app(cons(sk5,nil),skaf45(sk4,cons(sk5,nil))) = sk4
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_62,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_63,negated_conjecture,
( app(cons(sk5,nil),skaf45(sk4,cons(sk5,nil))) = sk4
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_64,axiom,
ssList(skaf45(X1,X2)),
clause51 ).
cnf(c_0_65,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_66,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_67,negated_conjecture,
( cons(sk5,skaf45(sk4,cons(sk5,nil))) = sk4
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( cons(sk5,app(nil,sk6)) = sk4
| sk4 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_65]),c_0_55])]),c_0_51]),c_0_56]) ).
cnf(c_0_69,negated_conjecture,
( cons(sk5,app(nil,skaf45(sk4,cons(sk5,nil)))) = sk4
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_64]),c_0_55])]),c_0_56]) ).
cnf(c_0_70,negated_conjecture,
( skaf45(sk4,cons(sk5,nil)) = tl(sk4)
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_64])]),c_0_56]) ).
cnf(c_0_71,negated_conjecture,
( tl(sk4) = app(nil,sk6)
| sk4 = nil
| ~ ssList(app(nil,sk6)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_68]),c_0_56]) ).
cnf(c_0_72,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
co1_11 ).
cnf(c_0_73,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_74,negated_conjecture,
( cons(sk5,app(nil,tl(sk4))) = sk4
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( tl(sk4) = app(nil,sk6)
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_45]),c_0_55])]),c_0_51]) ).
cnf(c_0_76,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk1
| ~ neq(sk4,nil) ),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( cons(sk5,app(nil,app(nil,sk6))) = sk4
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_79,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk1
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_76,c_0_47]) ).
cnf(c_0_80,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133 ).
cnf(c_0_81,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_82,negated_conjecture,
( tl(sk4) = app(nil,app(nil,sk6))
| sk4 = nil
| ~ ssList(app(nil,app(nil,sk6))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_77]),c_0_56]) ).
cnf(c_0_83,negated_conjecture,
( sk4 = nil
| ssList(app(nil,sk6)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_60])]) ).
cnf(c_0_84,negated_conjecture,
( sk4 = nil
| frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_79]),c_0_51]) ).
cnf(c_0_85,plain,
( app(tl(X1),nil) = tl(X1)
| nil = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_55])]) ).
cnf(c_0_86,negated_conjecture,
( tl(sk4) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_45]),c_0_55])]),c_0_83]) ).
cnf(c_0_87,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150 ).
cnf(c_0_88,negated_conjecture,
( sk4 = nil
| frontsegP(sk1,sk6) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_89,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_90,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_91,negated_conjecture,
( app(app(nil,app(nil,sk6)),nil) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_60])]) ).
cnf(c_0_92,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171 ).
cnf(c_0_93,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109 ).
cnf(c_0_94,axiom,
ssItem(skaf83(X1)),
clause12 ).
cnf(c_0_95,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_96,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_97,negated_conjecture,
( X1 = cons(sk5,nil)
| sk4 = nil
| app(sk6,X1) != sk1
| ~ ssList(cons(sk5,nil))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_79]),c_0_51]) ).
cnf(c_0_98,negated_conjecture,
( app(sk6,skaf45(sk1,sk6)) = sk1
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_88]),c_0_89])]),c_0_51]) ).
cnf(c_0_99,negated_conjecture,
( app(nil,app(app(nil,sk6),nil)) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_55])]),c_0_83]) ).
cnf(c_0_100,plain,
( skaf82(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95])])]),c_0_54]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( skaf45(sk1,sk6) = cons(sk5,nil)
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_64])]) ).
cnf(c_0_102,negated_conjecture,
( app(nil,app(nil,app(sk6,nil))) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_90]),c_0_55])]),c_0_51]) ).
cnf(c_0_103,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_104,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143 ).
cnf(c_0_105,negated_conjecture,
( skaf45(sk4,cons(sk5,nil)) = skaf82(sk4)
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_67]),c_0_64])]),c_0_56]) ).
cnf(c_0_106,negated_conjecture,
( skaf45(sk1,sk6) = cons(sk5,nil)
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_107,negated_conjecture,
( app(nil,app(sk6,nil)) = app(nil,app(nil,sk6))
| sk4 = nil
| ~ ssList(app(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_45]) ).
cnf(c_0_109,negated_conjecture,
( app(cons(sk5,nil),skaf82(sk4)) = sk4
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_63,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( sk4 = nil
| ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_64,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( sk4 = nil
| ssList(app(nil,app(nil,sk6))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_86]),c_0_60])]) ).
cnf(c_0_112,negated_conjecture,
( app(nil,app(sk6,nil)) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_45]),c_0_55])]),c_0_51]) ).
cnf(c_0_113,negated_conjecture,
( sk4 = nil
| rearsegP(sk4,skaf82(sk4)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_95])]),c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( skaf82(sk4) = app(nil,app(nil,sk6))
| sk4 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_77]),c_0_111]),c_0_56]) ).
cnf(c_0_115,negated_conjecture,
( app(nil,app(nil,sk6)) = app(sk6,nil)
| sk4 = nil
| ~ ssList(app(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_103,c_0_112]) ).
cnf(c_0_116,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause153 ).
cnf(c_0_117,negated_conjecture,
( sk4 = nil
| rearsegP(sk4,app(nil,app(nil,sk6))) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
( app(nil,app(nil,sk6)) = app(sk6,nil)
| sk4 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_45]),c_0_55])]),c_0_51]) ).
cnf(c_0_119,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173 ).
cnf(c_0_120,plain,
( rearsegP(X1,X2)
| ~ rearsegP(X1,app(X3,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_108]),c_0_45]) ).
cnf(c_0_121,negated_conjecture,
( sk4 = nil
| rearsegP(sk4,app(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
co1_13 ).
cnf(c_0_123,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_124,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61 ).
cnf(c_0_125,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131 ).
cnf(c_0_126,negated_conjecture,
( sk4 = nil
| rearsegP(sk4,nil) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_55]),c_0_60])]),c_0_51]) ).
cnf(c_0_127,negated_conjecture,
( sk4 = nil
| ~ neq(X1,nil)
| ~ segmentP(sk1,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_43]),c_0_43]) ).
cnf(c_0_128,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_129,plain,
( segmentP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_103]),c_0_55])]),c_0_45]) ).
cnf(c_0_130,negated_conjecture,
( sk4 = nil
| segmentP(app(sk4,X1),sk6)
| ~ ssList(app(sk4,X1))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_50]),c_0_51]),c_0_110]) ).
cnf(c_0_131,plain,
( app(X1,skaf45(X1,X1)) = X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_124]) ).
cnf(c_0_132,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58 ).
cnf(c_0_133,negated_conjecture,
( app(skaf46(sk4,nil),nil) = sk4
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_55]),c_0_60])]) ).
cnf(c_0_134,axiom,
ssList(skaf46(X1,X2)),
clause50 ).
cnf(c_0_135,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151 ).
cnf(c_0_136,negated_conjecture,
( app(sk6,app(cons(sk5,nil),X1)) = app(sk1,X1)
| sk4 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_79]),c_0_51]),c_0_110]) ).
cnf(c_0_137,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_7 ).
cnf(c_0_138,negated_conjecture,
( sk4 = nil
| nil = X1
| ~ segmentP(sk1,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_55])]) ).
cnf(c_0_139,negated_conjecture,
( sk4 = nil
| segmentP(sk1,sk6) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_98]),c_0_64])]),c_0_51]) ).
cnf(c_0_140,negated_conjecture,
( sk4 = nil
| segmentP(sk4,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_60]),c_0_64])]) ).
cnf(c_0_141,plain,
( app(skaf46(X1,nil),nil) = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_132]),c_0_55])]) ).
cnf(c_0_142,negated_conjecture,
( skaf46(sk4,nil) = sk4
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_133]),c_0_134])]) ).
cnf(c_0_143,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_103]),c_0_55])]) ).
cnf(c_0_144,negated_conjecture,
( app(sk1,skaf82(sk4)) = app(sk6,sk4)
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_109]),c_0_95])]) ).
cnf(c_0_145,negated_conjecture,
( sk1 = nil
| sk4 != nil ),
inference(rw,[status(thm)],[c_0_137,c_0_73]) ).
cnf(c_0_146,negated_conjecture,
( sk4 = nil
| segmentP(app(sk1,X1),cons(sk5,nil))
| ~ ssList(app(sk1,X1))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_79]),c_0_51]),c_0_110]) ).
cnf(c_0_147,negated_conjecture,
( cons(sk5,sk6) = sk4
| sk4 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_62]),c_0_51]),c_0_56]) ).
cnf(c_0_148,negated_conjecture,
( sk6 = nil
| sk4 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_51]),c_0_140]) ).
cnf(c_0_149,plain,
( app(X1,skaf45(app(X1,X2),X1)) = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_45]) ).
cnf(c_0_150,negated_conjecture,
( app(sk4,nil) = sk4
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_60])]) ).
cnf(c_0_151,negated_conjecture,
( sk1 = nil
| skaf82(sk4) != app(sk6,sk4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_95]),c_0_89])]),c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( sk4 = nil
| segmentP(sk1,cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_131]),c_0_89]),c_0_64])]) ).
cnf(c_0_153,negated_conjecture,
( cons(sk5,nil) = sk4
| sk4 = nil ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,negated_conjecture,
( app(sk4,skaf45(sk4,sk4)) = sk4
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_60]),c_0_55])]) ).
cnf(c_0_155,negated_conjecture,
( sk1 = nil
| app(nil,app(nil,sk6)) != app(sk6,sk4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_114]),c_0_145]) ).
cnf(c_0_156,negated_conjecture,
( sk4 = nil
| segmentP(sk1,sk4) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_157,negated_conjecture,
( sk4 = nil
| segmentP(sk4,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_154]),c_0_64]),c_0_60])]) ).
cnf(c_0_158,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
co1_14 ).
cnf(c_0_159,negated_conjecture,
( sk1 = nil
| app(sk6,sk4) != app(sk6,nil) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_118]),c_0_145]) ).
cnf(c_0_160,negated_conjecture,
sk4 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_156]),c_0_60])]),c_0_157]) ).
cnf(c_0_161,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115 ).
cnf(c_0_162,negated_conjecture,
( neq(sk4,nil)
| sk1 != nil ),
inference(rw,[status(thm)],[c_0_158,c_0_43]) ).
cnf(c_0_163,negated_conjecture,
sk1 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_164,plain,
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_161]) ).
cnf(c_0_165,negated_conjecture,
neq(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_160]),c_0_163])]) ).
cnf(c_0_166,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC061-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 17:28:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.63 start to proof: theBenchmark
% 0.62/0.97 % Version : CSE_E---1.5
% 0.62/0.97 % Problem : theBenchmark.p
% 0.62/0.97 % Proof found
% 0.62/0.97 % SZS status Theorem for theBenchmark.p
% 0.62/0.97 % SZS output start Proof
% See solution above
% 0.62/0.99 % Total time : 0.329000 s
% 0.62/0.99 % SZS output end Proof
% 0.62/0.99 % Total time : 0.335000 s
%------------------------------------------------------------------------------