TSTP Solution File: NUN087+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUN087+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 : n007.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 12:45:59 EDT 2023
% Result : Theorem 0.79s 0.85s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 34
% Syntax : Number of formulae : 80 ( 19 unt; 25 typ; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 203 ( 88 ~; 78 |; 37 &)
% ( 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 : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 110 ( 7 sgn; 51 !; 13 ?; 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 ).
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_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
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(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
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_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_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(zerotimeszeroeqzero,conjecture,
? [X63] :
( ? [X46] :
( r1(X46)
& r4(X46,X46,X63) )
& ? [X47] :
( id(X63,X47)
& r1(X47) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(c_0_9,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_10,plain,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
inference(fof_simplification,[status(thm)],[axiom_11]) ).
fof(c_0_11,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_12,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_9])]) ).
fof(c_0_13,plain,
! [X124] :
( r1(esk16_1(X124))
& r4(X124,esk16_1(X124),esk15_1(X124))
& id(esk15_1(X124),esk17_1(X124))
& r1(esk17_1(X124)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(c_0_14,plain,
! [X99,X100,X101,X102,X103,X104] :
( ( r4(X99,X100,X101)
| ~ r4(X99,X100,X101)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X102,X103,X104)
| ~ r4(X99,X100,X101)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X99,X100,X101)
| ~ r4(X102,X103,X104)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X102,X103,X104)
| ~ r4(X102,X103,X104)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_15,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_11])])]) ).
cnf(c_0_16,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
id(esk15_1(X1),esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
cnf(c_0_20,plain,
( r4(X1,X2,X3)
| ~ r4(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
fof(c_0_24,plain,
! [X84,X85,X86] :
( ~ id(X84,X85)
| id(X84,X86)
| ~ id(X85,X86) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_25,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])]) ).
fof(c_0_26,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_27,plain,
( r4(X1,X2,X3)
| ~ id(esk15_1(X4),X3)
| ~ id(esk16_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
id(esk15_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X82,X83] :
( ~ id(X82,X83)
| id(X83,X82) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_33,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( r1(X46)
& r4(X46,X46,X63) )
& ? [X47] :
( id(X63,X47)
& r1(X47) ) ),
inference(assume_negation,[status(cth)],[zerotimeszeroeqzero]) ).
cnf(c_0_34,plain,
( r4(X1,X2,esk1_0)
| ~ id(esk16_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
id(esk16_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,plain,
( id(X1,X2)
| ~ id(X1,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_38,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,negated_conjecture,
! [X135,X136,X137] :
( ~ r1(X136)
| ~ r4(X136,X136,X135)
| ~ id(X135,X137)
| ~ r1(X137) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_40,plain,
( r4(X1,esk1_0,esk1_0)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_42,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
id(X1,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1(X1)
| ~ r4(X1,X1,X2)
| ~ id(X2,X3)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
r4(X1,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
r1(esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( id(X1,esk13_1(X2))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_49,plain,
( r1(esk13_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_31]) ).
cnf(c_0_50,plain,
r1(esk13_1(esk1_0)),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1(X1)
| ~ id(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_52,plain,
id(X1,esk13_1(esk13_1(X1))),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_53,plain,
r1(esk13_1(esk13_1(esk1_0))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN087+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:46:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.79/0.85 % Version : CSE_E---1.5
% 0.79/0.85 % Problem : theBenchmark.p
% 0.79/0.85 % Proof found
% 0.79/0.85 % SZS status Theorem for theBenchmark.p
% 0.79/0.85 % SZS output start Proof
% See solution above
% 0.81/0.86 % Total time : 0.268000 s
% 0.81/0.86 % SZS output end Proof
% 0.81/0.86 % Total time : 0.271000 s
%------------------------------------------------------------------------------