TSTP Solution File: NUN085+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUN085+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 12:45:58 EDT 2023
% Result : Theorem 1.59s 1.63s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 45
% Syntax : Number of formulae : 175 ( 35 unt; 30 typ; 0 def)
% Number of atoms : 419 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 492 ( 218 ~; 210 |; 64 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 24 >; 16 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-2 aty)
% Number of variables : 266 ( 16 sgn; 110 !; 15 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
id: ( $i * $i ) > $o ).
tff(decl_23,type,
r1: $i > $o ).
tff(decl_24,type,
r2: ( $i * $i ) > $o ).
tff(decl_25,type,
r3: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
r4: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
esk1_0: $i ).
tff(decl_28,type,
esk2_1: $i > $i ).
tff(decl_29,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk13_1: $i > $i ).
tff(decl_40,type,
esk14_1: $i > $i ).
tff(decl_41,type,
esk15_1: $i > $i ).
tff(decl_42,type,
esk16_1: $i > $i ).
tff(decl_43,type,
esk17_1: $i > $i ).
tff(decl_44,type,
esk18_1: $i > $i ).
tff(decl_45,type,
esk19_1: $i > $i ).
tff(decl_46,type,
esk20_1: $i > $i ).
tff(decl_47,type,
esk21_0: $i ).
tff(decl_48,type,
esk22_0: $i ).
tff(decl_49,type,
esk23_0: $i ).
tff(decl_50,type,
esk24_0: $i ).
tff(decl_51,type,
esk25_0: $i ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(zeroplusoneidzero,conjecture,
! [X63] :
( ! [X46] :
( ! [X47] :
( ~ r1(X47)
| ~ r3(X47,X46,X63) )
| ! [X40] :
( ~ r1(X40)
| ~ r2(X40,X46) ) )
| ! [X41] :
( ~ id(X63,X41)
| ~ r1(X41) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_6a,axiom,
! [X61] :
( ? [X62] :
( id(X61,X62)
& r1(X62) )
| ? [X63,X64] :
( id(X61,X64)
& r2(X63,X64) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_3a,axiom,
! [X50,X51] :
( ! [X52] :
( ! [X53] :
( ~ id(X53,X52)
| ~ r2(X50,X53) )
| ~ r2(X51,X52) )
| id(X50,X51) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(axiom_9,axiom,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
fof(c_0_15,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_16,negated_conjecture,
~ ! [X63] :
( ! [X46] :
( ! [X47] :
( ~ r1(X47)
| ~ r3(X47,X46,X63) )
| ! [X40] :
( ~ r1(X40)
| ~ r2(X40,X46) ) )
| ! [X41] :
( ~ id(X63,X41)
| ~ r1(X41) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[zeroplusoneidzero])]) ).
fof(c_0_17,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_18,plain,
! [X69] :
( ( ~ r1(X69)
| id(X69,esk1_0) )
& ( ~ id(X69,esk1_0)
| id(X69,esk1_0) )
& ( ~ r1(X69)
| r1(X69) )
& ( ~ id(X69,esk1_0)
| r1(X69) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,negated_conjecture,
( r1(esk23_0)
& r3(esk23_0,esk22_0,esk21_0)
& r1(esk24_0)
& r2(esk24_0,esk22_0)
& id(esk21_0,esk25_0)
& r1(esk25_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_21,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_22,plain,
! [X82,X83] :
( ~ id(X82,X83)
| id(X83,X82) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
r1(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X132,X133,X134] :
( ~ id(X134,X133)
| ~ r1(X134)
| ~ r2(X132,X133) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
fof(c_0_26,plain,
! [X128] :
( ( id(X128,esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( id(X128,esk20_1(X128))
| r1(esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| r1(esk18_1(X128)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
fof(c_0_27,plain,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_28,plain,
! [X84,X85,X86] :
( ~ id(X84,X85)
| id(X84,X86)
| ~ id(X85,X86) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
id(esk25_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( ~ id(X1,X2)
| ~ r1(X1)
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( r2(esk19_1(X1),esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X70,X72] :
( ( ~ r2(X70,X72)
| id(X72,esk2_1(X70)) )
& ( ~ id(X72,esk2_1(X70))
| id(X72,esk2_1(X70)) )
& ( ~ r2(X70,X72)
| r2(X70,X72) )
& ( ~ id(X72,esk2_1(X70))
| r2(X70,X72) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])])]) ).
fof(c_0_34,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(c_0_35,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
cnf(c_0_36,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
id(esk1_0,esk25_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( r1(esk18_1(X1))
| ~ r1(X2)
| ~ id(X2,esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( id(X1,esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( r2(X2,X1)
| ~ id(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
id(esk21_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_43,plain,
! [X87,X88] :
( ( r1(X87)
| ~ r1(X87)
| ~ id(X87,X88) )
& ( r1(X88)
| ~ r1(X87)
| ~ id(X87,X88) )
& ( r1(X87)
| ~ r1(X88)
| ~ id(X87,X88) )
& ( r1(X88)
| ~ r1(X88)
| ~ id(X87,X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
cnf(c_0_44,negated_conjecture,
( id(X1,esk25_0)
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
r1(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,plain,
( r1(esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
r2(X1,esk2_1(X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_48,plain,
! [X121] :
( id(esk13_1(X121),X121)
& r1(esk14_1(X121))
& r3(X121,esk14_1(X121),esk13_1(X121)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
cnf(c_0_49,negated_conjecture,
id(esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_29,c_0_42]) ).
cnf(c_0_50,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( id(esk25_0,X1)
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
id(esk24_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_53,plain,
( id(esk18_1(X1),esk1_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_46]) ).
cnf(c_0_54,plain,
( ~ r1(X1)
| ~ id(X1,esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_55,plain,
( id(X2,esk2_1(X1))
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_56,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_58,negated_conjecture,
( id(X1,esk21_0)
| ~ id(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
r1(esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_24])]) ).
cnf(c_0_60,negated_conjecture,
id(esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_61,plain,
! [X50,X51] :
( ! [X52] :
( ! [X53] :
( ~ id(X53,X52)
| ~ r2(X50,X53) )
| ~ r2(X51,X52) )
| id(X50,X51) ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
cnf(c_0_62,negated_conjecture,
( id(esk25_0,esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
cnf(c_0_63,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
( r2(esk19_1(X1),esk20_1(X1))
| id(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_65,plain,
( r1(X1)
| ~ r1(esk13_1(X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( r1(X1)
| ~ id(X1,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_67,negated_conjecture,
id(esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_29,c_0_60]) ).
cnf(c_0_68,plain,
id(X1,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_56]) ).
fof(c_0_69,plain,
! [X117,X118,X119,X120] :
( ~ id(X120,X119)
| ~ r2(X117,X120)
| ~ r2(X118,X119)
| id(X117,X118) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).
fof(c_0_70,plain,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
cnf(c_0_71,negated_conjecture,
( id(esk18_1(X1),esk25_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_62]) ).
cnf(c_0_72,plain,
( id(X1,esk20_1(X1))
| id(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_73,plain,
( id(X1,esk18_1(X1))
| ~ r1(esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( r1(X1)
| ~ id(esk13_1(X1),esk25_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
( id(X1,esk25_0)
| ~ id(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_76,plain,
( id(X1,esk13_1(X2))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_68]) ).
cnf(c_0_77,plain,
( id(X3,X4)
| ~ id(X1,X2)
| ~ r2(X3,X1)
| ~ r2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_78,plain,
! [X105,X106] :
( id(esk6_2(X105,X106),esk5_2(X105,X106))
& r2(X106,esk7_2(X105,X106))
& r3(X105,esk7_2(X105,X106),esk6_2(X105,X106))
& r2(esk8_2(X105,X106),esk5_2(X105,X106))
& r3(X105,X106,esk8_2(X105,X106)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_79,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_80,negated_conjecture,
r2(esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_81,plain,
! [X89,X90,X91,X92] :
( ( r2(X89,X90)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X89,X90)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_70])]) ).
cnf(c_0_82,negated_conjecture,
( id(X1,esk25_0)
| ~ r1(X2)
| ~ id(X1,esk18_1(X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_71]) ).
cnf(c_0_83,plain,
( id(X1,esk18_1(X1))
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_72]),c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( r1(X1)
| ~ id(esk13_1(X1),esk24_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( id(esk13_1(X1),X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_76]) ).
cnf(c_0_86,plain,
( r1(esk18_1(X1))
| id(X2,esk19_1(X1))
| ~ r2(X2,X3)
| ~ id(X3,esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_32]) ).
cnf(c_0_87,plain,
id(esk6_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_89,plain,
! [X73,X74,X76] :
( ( ~ r3(X73,X74,X76)
| id(X76,esk3_2(X73,X74)) )
& ( ~ id(X76,esk3_2(X73,X74))
| id(X76,esk3_2(X73,X74)) )
& ( ~ r3(X73,X74,X76)
| r3(X73,X74,X76) )
& ( ~ id(X76,esk3_2(X73,X74))
| r3(X73,X74,X76) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_79])])]) ).
cnf(c_0_90,negated_conjecture,
( id(X1,esk24_0)
| ~ r2(X1,X2)
| ~ id(X2,esk22_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_80]) ).
cnf(c_0_91,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X3,X1)
| ~ id(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,negated_conjecture,
( id(X1,esk25_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( r1(X1)
| ~ id(esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( r1(esk18_1(X1))
| id(X2,esk19_1(X1))
| ~ r2(X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_39]) ).
cnf(c_0_95,plain,
( id(X1,esk5_2(X2,X3))
| ~ id(X1,esk6_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_87]) ).
cnf(c_0_96,plain,
~ r1(esk5_2(X1,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_88]) ).
cnf(c_0_97,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( id(esk19_1(X1),esk24_0)
| id(X1,esk18_1(X1))
| ~ id(esk20_1(X1),esk22_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_64]) ).
cnf(c_0_99,plain,
( id(X1,esk18_1(X1))
| id(esk20_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_72]) ).
cnf(c_0_100,negated_conjecture,
( ~ r1(X1)
| ~ id(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_80]) ).
cnf(c_0_101,plain,
( r1(esk13_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_68]) ).
cnf(c_0_102,plain,
( r2(X1,X2)
| r1(esk18_1(X3))
| ~ id(esk20_1(X3),X2)
| ~ id(esk19_1(X3),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_32]) ).
cnf(c_0_103,plain,
( r1(esk18_1(X1))
| id(esk20_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
cnf(c_0_104,negated_conjecture,
( id(X1,esk25_0)
| ~ id(esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( r1(esk18_1(esk22_0))
| id(esk24_0,esk19_1(esk22_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_80]) ).
cnf(c_0_106,plain,
( ~ r1(X1)
| ~ id(X1,esk6_2(X2,X3)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_95]),c_0_96]) ).
cnf(c_0_107,plain,
( id(esk3_2(X1,X2),X3)
| ~ r3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
( id(esk22_0,esk18_1(esk22_0))
| id(esk19_1(esk22_0),esk24_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
( ~ r1(X1)
| ~ id(esk13_1(X1),esk22_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,plain,
( r2(X1,X2)
| r1(esk18_1(X2))
| ~ id(esk19_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( r1(esk18_1(esk22_0))
| id(esk19_1(esk22_0),esk25_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
( ~ r3(X1,X2,esk6_2(X3,X4))
| ~ r1(esk3_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_114,plain,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
cnf(c_0_115,plain,
( id(esk2_1(X1),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_55]) ).
cnf(c_0_116,plain,
( r2(X1,X2)
| id(X3,esk18_1(X3))
| ~ id(esk20_1(X3),X2)
| ~ id(esk19_1(X3),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_64]) ).
cnf(c_0_117,negated_conjecture,
( r1(esk19_1(esk22_0))
| id(esk22_0,esk18_1(esk22_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_108]),c_0_45])]) ).
cnf(c_0_118,negated_conjecture,
( ~ r1(X1)
| ~ id(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_85]) ).
cnf(c_0_119,negated_conjecture,
( r2(esk25_0,esk22_0)
| r1(esk18_1(esk22_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_120,plain,
~ r1(esk3_2(X1,esk7_2(X1,X2))),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_122,plain,
! [X93,X94,X95,X96,X97,X98] :
( ( r3(X93,X94,X95)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X93,X94,X95)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_114])]) ).
cnf(c_0_123,plain,
( id(X1,X2)
| ~ r2(X3,X2)
| ~ id(X1,esk2_1(X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_115]) ).
cnf(c_0_124,plain,
( r2(X1,X2)
| id(X2,esk18_1(X2))
| ~ id(esk19_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_99]) ).
cnf(c_0_125,negated_conjecture,
( id(esk22_0,esk18_1(esk22_0))
| id(esk19_1(esk22_0),esk25_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( r2(esk25_0,esk22_0)
| ~ id(esk22_0,esk18_1(esk22_0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,plain,
~ id(esk3_2(X1,esk7_2(X1,X2)),esk1_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,negated_conjecture,
r3(esk23_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_130,negated_conjecture,
id(esk21_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_59]) ).
cnf(c_0_131,plain,
( id(X1,X2)
| ~ r2(X3,X2)
| ~ r2(X3,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_55]) ).
cnf(c_0_132,negated_conjecture,
r2(esk25_0,esk22_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_133,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_134,plain,
~ r3(X1,esk7_2(X1,X2),esk1_0),
inference(spm,[status(thm)],[c_0_127,c_0_107]) ).
cnf(c_0_135,negated_conjecture,
( r3(X1,X2,X3)
| ~ id(X3,esk21_0)
| ~ id(X2,esk22_0)
| ~ id(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,negated_conjecture,
id(esk1_0,esk21_0),
inference(spm,[status(thm)],[c_0_29,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( id(X1,esk22_0)
| ~ r2(esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_139,negated_conjecture,
id(esk23_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_133]) ).
cnf(c_0_140,negated_conjecture,
( ~ id(esk7_2(X1,X2),esk22_0)
| ~ id(X1,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_141,negated_conjecture,
id(esk7_2(X1,esk25_0),esk22_0),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
id(esk1_0,esk23_0),
inference(spm,[status(thm)],[c_0_29,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
~ id(X1,esk23_0),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_142,c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN085+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 10:20:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 1.59/1.63 % Version : CSE_E---1.5
% 1.59/1.63 % Problem : theBenchmark.p
% 1.59/1.63 % Proof found
% 1.59/1.63 % SZS status Theorem for theBenchmark.p
% 1.59/1.63 % SZS output start Proof
% See solution above
% 1.59/1.64 % Total time : 1.071000 s
% 1.59/1.64 % SZS output end Proof
% 1.59/1.64 % Total time : 1.074000 s
%------------------------------------------------------------------------------