TSTP Solution File: LCL670+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 06:58:56 EDT 2023
% Result : Theorem 10.08s 10.22s
% Output : CNFRefutation 10.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 73 ( 19 unt; 20 typ; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 134 ( 7 avg)
% Number of connectives : 645 ( 324 ~; 283 |; 38 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 15 >; 11 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 147 ( 0 sgn; 84 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p4: $i > $o ).
tff(decl_24,type,
p3: $i > $o ).
tff(decl_25,type,
p2: $i > $o ).
tff(decl_26,type,
p1: $i > $o ).
tff(decl_27,type,
esk1_0: $i ).
tff(decl_28,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_29,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk8_1: $i > $i ).
tff(decl_35,type,
esk9_1: $i > $i ).
tff(decl_36,type,
esk10_0: $i ).
tff(decl_37,type,
esk11_0: $i ).
tff(decl_38,type,
esk12_0: $i ).
tff(decl_39,type,
esk13_0: $i ).
tff(decl_40,type,
esk14_1: $i > $i ).
tff(decl_41,type,
esk15_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_3,negated_conjecture,
! [X5,X6,X7,X10,X11,X13,X15,X16,X17,X21,X22,X23,X24,X28,X31,X33,X34,X35] :
( ( ~ r1(esk1_0,X5)
| ~ p4(X5) )
& ( r1(X7,esk2_2(X6,X7))
| ~ r1(X6,X7)
| ~ r1(esk1_0,X6) )
& ( r1(esk2_2(X6,X7),esk3_2(X6,X7))
| ~ r1(X6,X7)
| ~ r1(esk1_0,X6) )
& ( ~ p3(esk3_2(X6,X7))
| ~ r1(X6,X7)
| ~ r1(esk1_0,X6) )
& ( p2(esk2_2(X6,X7))
| ~ r1(X6,X7)
| ~ r1(esk1_0,X6) )
& ( r1(X13,esk5_3(X6,X10,X13))
| ~ r1(X10,X13)
| r1(X11,esk4_3(X6,X10,X11))
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk5_3(X6,X10,X13),X15)
| ~ p2(X15)
| ~ r1(X10,X13)
| r1(X11,esk4_3(X6,X10,X11))
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( r1(X13,esk5_3(X6,X10,X13))
| ~ r1(X10,X13)
| ~ p3(esk4_3(X6,X10,X11))
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk5_3(X6,X10,X13),X15)
| ~ p2(X15)
| ~ r1(X10,X13)
| ~ p3(esk4_3(X6,X10,X11))
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( r1(X13,esk5_3(X6,X10,X13))
| ~ r1(X10,X13)
| p2(X11)
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk5_3(X6,X10,X13),X15)
| ~ p2(X15)
| ~ r1(X10,X13)
| p2(X11)
| ~ r1(X10,X11)
| ~ p2(X10)
| ~ r1(X6,X10)
| ~ r1(esk1_0,X6) )
& ( r1(X6,esk8_1(X6))
| r1(X17,esk6_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk8_1(X6),X21)
| ~ p2(X21)
| r1(X17,esk6_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( r1(X6,esk8_1(X6))
| r1(esk6_3(X6,X16,X17),esk7_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk8_1(X6),X21)
| ~ p2(X21)
| r1(esk6_3(X6,X16,X17),esk7_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( r1(X6,esk8_1(X6))
| ~ p3(esk7_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk8_1(X6),X21)
| ~ p2(X21)
| ~ p3(esk7_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( r1(X6,esk8_1(X6))
| p2(esk6_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( ~ r1(esk8_1(X6),X21)
| ~ p2(X21)
| p2(esk6_3(X6,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X6,X16)
| ~ r1(esk1_0,X6) )
& ( r1(X22,esk9_1(X22))
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(X24)
| ~ r1(esk1_0,X22) )
& ( ~ p1(esk9_1(X22))
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(X24)
| ~ r1(esk1_0,X22) )
& r1(esk1_0,esk10_0)
& r1(esk10_0,esk11_0)
& ( ~ r1(esk11_0,X28)
| p1(X28) )
& r1(esk10_0,esk12_0)
& ~ p1(esk12_0)
& r1(esk1_0,esk13_0)
& ( r1(X31,esk14_1(X31))
| ~ r1(esk13_0,X31) )
& ( ~ p2(esk14_1(X31))
| ~ r1(esk13_0,X31) )
& ( r1(X33,esk15_1(X33))
| ~ r1(esk1_0,X33)
| ~ r1(X33,X34)
| ~ r1(X34,X35)
| ~ p1(X35) )
& ( p1(esk15_1(X33))
| ~ r1(esk1_0,X33)
| ~ r1(X33,X34)
| ~ r1(X34,X35)
| ~ p1(X35) ) ),
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_2])])])])]) ).
fof(c_0_4,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
r1(esk1_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( r1(X1,esk14_1(X1))
| ~ r1(esk13_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
r1(esk13_0,esk2_2(esk1_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( ~ p2(esk14_1(X1))
| ~ r1(esk13_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( r1(X1,esk5_3(X2,X3,X1))
| p2(X4)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
r1(esk2_2(esk1_0,esk13_0),esk14_1(esk2_2(esk1_0,esk13_0))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
p2(esk2_2(esk1_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_7])]) ).
cnf(c_0_15,negated_conjecture,
~ p2(esk14_1(esk2_2(esk1_0,esk13_0))),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( r1(X1,esk5_3(X2,esk2_2(esk1_0,esk13_0),X1))
| ~ r1(esk2_2(esk1_0,esk13_0),X1)
| ~ r1(X2,esk2_2(esk1_0,esk13_0))
| ~ r1(esk1_0,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p2(X5)
| ~ r1(esk5_3(X1,X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X2,X5)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,negated_conjecture,
( r1(X1,esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),X1))
| ~ r1(esk2_2(esk1_0,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_9])]) ).
cnf(c_0_19,negated_conjecture,
( ~ p2(X1)
| ~ r1(esk5_3(X2,esk2_2(esk1_0,esk13_0),X3),X1)
| ~ r1(esk2_2(esk1_0,esk13_0),X3)
| ~ r1(X2,esk2_2(esk1_0,esk13_0))
| ~ r1(esk1_0,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( r1(X1,esk8_1(X1))
| r1(X2,esk6_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
r1(esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( r1(X1,esk8_1(X1))
| p2(esk6_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),X2),X1)
| ~ r1(esk2_2(esk1_0,esk13_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_6]),c_0_9])]) ).
cnf(c_0_24,negated_conjecture,
( r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(X1,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| r1(X1,esk8_1(X1))
| ~ r1(X1,esk2_2(esk1_0,esk13_0))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p2(esk6_3(X1,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| r1(X1,esk8_1(X1))
| ~ r1(X1,esk2_2(esk1_0,esk13_0))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_6]),c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_6]),c_0_9])]) ).
cnf(c_0_29,negated_conjecture,
( r1(X3,esk6_3(X1,X4,X3))
| ~ r1(esk8_1(X1),X2)
| ~ p2(X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,negated_conjecture,
( p2(esk6_3(X1,X3,X4))
| ~ r1(esk8_1(X1),X2)
| ~ p2(X2)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
r1(esk13_0,esk8_1(esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( r1(X1,esk6_3(X2,X1,X1))
| ~ p2(X3)
| ~ r1(esk8_1(X2),X3)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( p2(esk6_3(X1,X2,X2))
| ~ p2(X3)
| ~ r1(esk8_1(X1),X3)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( r1(esk8_1(esk13_0),esk6_3(X1,esk13_0,esk8_1(esk13_0)))
| ~ p2(X2)
| ~ r1(esk8_1(X1),X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( r1(esk8_1(esk13_0),esk6_3(esk13_0,esk8_1(esk13_0),esk8_1(esk13_0)))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_6])]) ).
cnf(c_0_36,negated_conjecture,
r1(esk8_1(esk13_0),esk2_2(esk13_0,esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_31]),c_0_6])]) ).
cnf(c_0_37,negated_conjecture,
p2(esk2_2(esk13_0,esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_31]),c_0_6])]) ).
cnf(c_0_38,negated_conjecture,
( p2(esk6_3(esk13_0,esk8_1(esk13_0),esk8_1(esk13_0)))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_6])]) ).
cnf(c_0_39,negated_conjecture,
( p2(esk6_3(X1,esk13_0,esk8_1(esk13_0)))
| ~ p2(X2)
| ~ r1(esk8_1(X1),X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(X1,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| ~ p2(X2)
| ~ r1(X1,esk2_2(esk1_0,esk13_0))
| ~ r1(esk8_1(X1),X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( r1(esk8_1(esk13_0),esk6_3(esk13_0,esk13_0,esk8_1(esk13_0)))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_6]),c_0_7])]) ).
cnf(c_0_42,negated_conjecture,
r1(esk8_1(esk13_0),esk6_3(esk13_0,esk8_1(esk13_0),esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_43,negated_conjecture,
p2(esk6_3(esk13_0,esk8_1(esk13_0),esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_37])]) ).
cnf(c_0_44,negated_conjecture,
( p2(esk6_3(esk13_0,esk13_0,esk8_1(esk13_0)))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_6]),c_0_7])]) ).
cnf(c_0_45,negated_conjecture,
( p2(esk6_3(X1,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| ~ p2(X2)
| ~ r1(X1,esk2_2(esk1_0,esk13_0))
| ~ r1(esk8_1(X1),X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_46,negated_conjecture,
( r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_6]),c_0_9])]) ).
cnf(c_0_47,negated_conjecture,
r1(esk8_1(esk13_0),esk6_3(esk13_0,esk13_0,esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_48,negated_conjecture,
p2(esk6_3(esk13_0,esk13_0,esk8_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_43])]) ).
cnf(c_0_49,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| ~ p2(X1)
| ~ r1(esk8_1(esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_6]),c_0_9])]) ).
cnf(c_0_50,negated_conjecture,
r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_51,negated_conjecture,
p2(esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_37])]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n021.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 : Fri Aug 25 03:20:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 10.08/10.22 % Version : CSE_E---1.5
% 10.08/10.22 % Problem : theBenchmark.p
% 10.08/10.22 % Proof found
% 10.08/10.22 % SZS status Theorem for theBenchmark.p
% 10.08/10.22 % SZS output start Proof
% See solution above
% 10.08/10.23 % Total time : 9.629000 s
% 10.08/10.23 % SZS output end Proof
% 10.08/10.23 % Total time : 9.633000 s
%------------------------------------------------------------------------------