TSTP Solution File: SWC379+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC379+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 : n018.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 20:22:06 EDT 2023
% Result : Theorem 0.17s 0.61s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 79
% Syntax : Number of formulae : 124 ( 10 unt; 78 typ; 0 def)
% Number of atoms : 233 ( 32 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 307 ( 120 ~; 129 |; 44 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 69 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn; 17 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ssItem: $i > $o ).
tff(decl_23,type,
neq: ( $i * $i ) > $o ).
tff(decl_24,type,
ssList: $i > $o ).
tff(decl_25,type,
memberP: ( $i * $i ) > $o ).
tff(decl_26,type,
cons: ( $i * $i ) > $i ).
tff(decl_27,type,
app: ( $i * $i ) > $i ).
tff(decl_28,type,
singletonP: $i > $o ).
tff(decl_29,type,
nil: $i ).
tff(decl_30,type,
frontsegP: ( $i * $i ) > $o ).
tff(decl_31,type,
rearsegP: ( $i * $i ) > $o ).
tff(decl_32,type,
segmentP: ( $i * $i ) > $o ).
tff(decl_33,type,
cyclefreeP: $i > $o ).
tff(decl_34,type,
leq: ( $i * $i ) > $o ).
tff(decl_35,type,
totalorderP: $i > $o ).
tff(decl_36,type,
strictorderP: $i > $o ).
tff(decl_37,type,
lt: ( $i * $i ) > $o ).
tff(decl_38,type,
totalorderedP: $i > $o ).
tff(decl_39,type,
strictorderedP: $i > $o ).
tff(decl_40,type,
duplicatefreeP: $i > $o ).
tff(decl_41,type,
equalelemsP: $i > $o ).
tff(decl_42,type,
hd: $i > $i ).
tff(decl_43,type,
tl: $i > $i ).
tff(decl_44,type,
geq: ( $i * $i ) > $o ).
tff(decl_45,type,
gt: ( $i * $i ) > $o ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk5_1: $i > $i ).
tff(decl_51,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_1: $i > $i ).
tff(decl_57,type,
esk12_1: $i > $i ).
tff(decl_58,type,
esk13_1: $i > $i ).
tff(decl_59,type,
esk14_1: $i > $i ).
tff(decl_60,type,
esk15_1: $i > $i ).
tff(decl_61,type,
esk16_1: $i > $i ).
tff(decl_62,type,
esk17_1: $i > $i ).
tff(decl_63,type,
esk18_1: $i > $i ).
tff(decl_64,type,
esk19_1: $i > $i ).
tff(decl_65,type,
esk20_1: $i > $i ).
tff(decl_66,type,
esk21_1: $i > $i ).
tff(decl_67,type,
esk22_1: $i > $i ).
tff(decl_68,type,
esk23_1: $i > $i ).
tff(decl_69,type,
esk24_1: $i > $i ).
tff(decl_70,type,
esk25_1: $i > $i ).
tff(decl_71,type,
esk26_1: $i > $i ).
tff(decl_72,type,
esk27_1: $i > $i ).
tff(decl_73,type,
esk28_1: $i > $i ).
tff(decl_74,type,
esk29_1: $i > $i ).
tff(decl_75,type,
esk30_1: $i > $i ).
tff(decl_76,type,
esk31_1: $i > $i ).
tff(decl_77,type,
esk32_1: $i > $i ).
tff(decl_78,type,
esk33_1: $i > $i ).
tff(decl_79,type,
esk34_1: $i > $i ).
tff(decl_80,type,
esk35_1: $i > $i ).
tff(decl_81,type,
esk36_1: $i > $i ).
tff(decl_82,type,
esk37_1: $i > $i ).
tff(decl_83,type,
esk38_1: $i > $i ).
tff(decl_84,type,
esk39_1: $i > $i ).
tff(decl_85,type,
esk40_1: $i > $i ).
tff(decl_86,type,
esk41_1: $i > $i ).
tff(decl_87,type,
esk42_1: $i > $i ).
tff(decl_88,type,
esk43_1: $i > $i ).
tff(decl_89,type,
esk44_1: $i > $i ).
tff(decl_90,type,
esk45_1: $i > $i ).
tff(decl_91,type,
esk46_1: $i > $i ).
tff(decl_92,type,
esk47_1: $i > $i ).
tff(decl_93,type,
esk48_0: $i ).
tff(decl_94,type,
esk49_0: $i ).
tff(decl_95,type,
esk50_0: $i ).
tff(decl_96,type,
esk51_0: $i ).
tff(decl_97,type,
esk52_1: $i > $i ).
tff(decl_98,type,
esk53_0: $i ).
tff(decl_99,type,
esk54_0: $i ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X1,X7)
& ( ~ memberP(X2,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X2,X8)
& leq(X8,X7) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X2,X8)
| ~ leq(X8,X7)
| X7 = X8 ) )
& memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X1,X7)
& ( ~ memberP(X2,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X2,X8)
& leq(X8,X7) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X2,X8)
| ~ leq(X8,X7)
| X7 = X8 ) )
& memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X257,X259,X261] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ( ssItem(esk52_1(X257))
| memberP(esk50_0,X257)
| ~ memberP(esk51_0,X257)
| ~ ssItem(X257) )
& ( memberP(esk51_0,esk52_1(X257))
| memberP(esk50_0,X257)
| ~ memberP(esk51_0,X257)
| ~ ssItem(X257) )
& ( leq(esk52_1(X257),X257)
| memberP(esk50_0,X257)
| ~ memberP(esk51_0,X257)
| ~ ssItem(X257) )
& ( X257 != esk52_1(X257)
| memberP(esk50_0,X257)
| ~ memberP(esk51_0,X257)
| ~ ssItem(X257) )
& ( memberP(esk51_0,X257)
| ~ memberP(esk50_0,X257)
| ~ ssItem(X257) )
& ( ~ ssItem(X259)
| X257 = X259
| ~ memberP(esk51_0,X259)
| ~ leq(X259,X257)
| ~ memberP(esk50_0,X257)
| ~ ssItem(X257) )
& ssItem(esk53_0)
& ( memberP(esk49_0,esk53_0)
| memberP(esk48_0,esk53_0) )
& ( ~ ssItem(X261)
| esk53_0 = X261
| ~ memberP(esk49_0,X261)
| ~ leq(X261,esk53_0)
| memberP(esk48_0,esk53_0) )
& ( ssItem(esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) )
& ( memberP(esk49_0,esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) )
& ( leq(esk54_0,esk53_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) )
& ( esk53_0 != esk54_0
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( memberP(esk51_0,X1)
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( memberP(esk49_0,esk53_0)
| memberP(esk48_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( memberP(esk51_0,esk52_1(X1))
| memberP(esk50_0,X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( memberP(esk51_0,X1)
| ~ memberP(esk48_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( memberP(esk51_0,esk53_0)
| memberP(esk48_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( ssItem(esk52_1(X1))
| memberP(esk50_0,X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( memberP(esk50_0,X1)
| X1 != esk52_1(X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( esk53_0 = X1
| memberP(esk48_0,esk53_0)
| ~ ssItem(X1)
| ~ memberP(esk49_0,X1)
| ~ leq(X1,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( memberP(esk51_0,esk52_1(X1))
| memberP(esk48_0,X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_15,negated_conjecture,
memberP(esk51_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_16,negated_conjecture,
( memberP(esk48_0,X1)
| ssItem(esk52_1(X1))
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_11,c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( memberP(esk48_0,X1)
| esk52_1(X1) != X1
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( leq(esk52_1(X1),X1)
| memberP(esk50_0,X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( esk53_0 = X1
| memberP(esk48_0,esk53_0)
| ~ leq(X1,esk53_0)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( memberP(esk51_0,esk52_1(esk53_0))
| memberP(esk48_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
( memberP(esk48_0,esk53_0)
| ssItem(esk52_1(esk53_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_10])]) ).
cnf(c_0_22,negated_conjecture,
( memberP(esk48_0,esk53_0)
| esk52_1(esk53_0) != esk53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_10])]) ).
cnf(c_0_23,negated_conjecture,
( memberP(esk49_0,esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( esk53_0 != esk54_0
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( X2 = X1
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1)
| ~ leq(X1,X2)
| ~ memberP(esk50_0,X2)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( leq(esk52_1(X1),X1)
| memberP(esk48_0,X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_18,c_0_4]) ).
cnf(c_0_29,negated_conjecture,
( memberP(esk48_0,esk53_0)
| ~ leq(esk52_1(esk53_0),esk53_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( memberP(esk51_0,esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk51_0,esk53_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_6]),c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk51_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk51_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_33,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk51_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| ~ leq(X1,X2)
| ~ memberP(esk48_0,X2)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_27,c_0_4]) ).
cnf(c_0_35,negated_conjecture,
memberP(esk48_0,esk53_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_10])]),c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( memberP(esk51_0,esk54_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_15])]) ).
cnf(c_0_37,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_15])]) ).
cnf(c_0_38,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk48_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_15])]) ).
cnf(c_0_39,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk48_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_15])]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk53_0
| ~ leq(X1,esk53_0)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_10])]) ).
cnf(c_0_41,negated_conjecture,
memberP(esk51_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_42,negated_conjecture,
leq(esk54_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_35])]) ).
cnf(c_0_43,negated_conjecture,
ssItem(esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_35])]) ).
cnf(c_0_44,negated_conjecture,
esk54_0 != esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_35])]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[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])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC379+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.31 % Computer : n018.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Aug 28 18:35:32 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.54 start to proof: theBenchmark
% 0.17/0.61 % Version : CSE_E---1.5
% 0.17/0.61 % Problem : theBenchmark.p
% 0.17/0.61 % Proof found
% 0.17/0.61 % SZS status Theorem for theBenchmark.p
% 0.17/0.61 % SZS output start Proof
% See solution above
% 0.17/0.62 % Total time : 0.066000 s
% 0.17/0.62 % SZS output end Proof
% 0.17/0.62 % Total time : 0.072000 s
%------------------------------------------------------------------------------