TSTP Solution File: LCL688+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 06:59:13 EDT 2023
% Result : Theorem 2.23s 2.27s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 17 unt; 18 typ; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 110 ( 6 avg)
% Number of connectives : 477 ( 236 ~; 203 |; 37 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 12 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 114 ( 0 sgn; 77 !; 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_1: $i > $i ).
tff(decl_33,type,
esk7_0: $i ).
tff(decl_34,type,
esk8_0: $i ).
tff(decl_35,type,
esk9_0: $i ).
tff(decl_36,type,
esk10_0: $i ).
tff(decl_37,type,
esk11_0: $i ).
tff(decl_38,type,
esk12_1: $i > $i ).
tff(decl_39,type,
esk13_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) ) ) ) ) ) ) )
| ( ~ p1(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& 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/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,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) ) ) ) ) ) ) )
| ( ~ p1(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& 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_4,negated_conjecture,
! [X9,X10,X11,X14,X15,X17,X19,X20,X23,X24,X27,X30,X32,X33,X34] :
( ( ~ r1(esk1_0,X9)
| ~ p4(X9) )
& ( r1(X11,esk2_2(X10,X11))
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(esk2_2(X10,X11),esk3_2(X10,X11))
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ p3(esk3_2(X10,X11))
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( p2(esk2_2(X10,X11))
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(X17,esk5_3(X10,X14,X17))
| ~ r1(X14,X17)
| r1(X15,esk4_3(X10,X14,X15))
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_3(X10,X14,X17),X19)
| ~ p2(X19)
| ~ r1(X14,X17)
| r1(X15,esk4_3(X10,X14,X15))
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( r1(X17,esk5_3(X10,X14,X17))
| ~ r1(X14,X17)
| ~ p3(esk4_3(X10,X14,X15))
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_3(X10,X14,X17),X19)
| ~ p2(X19)
| ~ r1(X14,X17)
| ~ p3(esk4_3(X10,X14,X15))
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( r1(X17,esk5_3(X10,X14,X17))
| ~ r1(X14,X17)
| p2(X15)
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_3(X10,X14,X17),X19)
| ~ p2(X19)
| ~ r1(X14,X17)
| p2(X15)
| ~ r1(X14,X15)
| ~ p2(X14)
| ~ r1(X10,X14)
| ~ r1(esk1_0,X10) )
& ( r1(esk1_0,esk7_0)
| r1(X20,esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& ( ~ p1(esk7_0)
| r1(X20,esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& ( ~ r1(esk7_0,X23)
| ~ r1(X23,X24)
| p1(X24)
| ~ p1(X23)
| r1(X20,esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& ( r1(esk1_0,esk7_0)
| ~ p1(esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& ( ~ p1(esk7_0)
| ~ p1(esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& ( ~ r1(esk7_0,X23)
| ~ r1(X23,X24)
| p1(X24)
| ~ p1(X23)
| ~ p1(esk6_1(X20))
| ~ r1(esk1_0,X20)
| p1(esk1_0) )
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk9_0)
& ( ~ r1(esk9_0,X27)
| p1(X27) )
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& r1(esk1_0,esk11_0)
& ( r1(X30,esk12_1(X30))
| ~ r1(esk11_0,X30) )
& ( ~ p2(esk12_1(X30))
| ~ r1(esk11_0,X30) )
& ( r1(X32,esk13_1(X32))
| ~ r1(esk1_0,X32)
| ~ r1(X32,X33)
| ~ r1(X33,X34)
| ~ p1(X34) )
& ( p1(esk13_1(X32))
| ~ r1(esk1_0,X32)
| ~ r1(X32,X33)
| ~ r1(X33,X34)
| ~ p1(X34) ) ),
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_3])])])])]) ).
cnf(c_0_5,negated_conjecture,
( r1(esk2_2(X1,X2),esk3_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
r1(esk1_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_8,plain,
! [X5,X6,X7] :
( ~ r1(X5,X6)
| ~ r1(X6,X7)
| r1(X5,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_9,negated_conjecture,
( r1(esk2_2(esk11_0,X1),esk3_2(esk11_0,X1))
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
r1(esk2_2(esk11_0,esk11_0),esk3_2(esk11_0,esk11_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( r1(X1,esk2_2(esk11_0,X1))
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( r1(X1,esk3_2(esk11_0,esk11_0))
| ~ r1(X1,esk2_2(esk11_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
r1(esk11_0,esk2_2(esk11_0,esk11_0)),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( r1(X1,esk12_1(X1))
| ~ r1(esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
r1(esk11_0,esk3_2(esk11_0,esk11_0)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,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_4]) ).
cnf(c_0_21,negated_conjecture,
( r1(X1,esk2_2(esk11_0,esk11_0))
| ~ r1(X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p2(esk2_2(esk11_0,X1))
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_23,negated_conjecture,
r1(esk3_2(esk11_0,esk11_0),esk12_1(esk3_2(esk11_0,esk11_0))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(esk1_0,X3,X2))
| ~ p2(X3)
| ~ r1(esk1_0,X3)
| ~ r1(X3,X1)
| ~ r1(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_25,negated_conjecture,
r1(esk1_0,esk2_2(esk11_0,esk11_0)),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_26,negated_conjecture,
p2(esk2_2(esk11_0,esk11_0)),
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( r1(X1,esk12_1(esk3_2(esk11_0,esk11_0)))
| ~ r1(X1,esk3_2(esk11_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),X2))
| ~ r1(esk2_2(esk11_0,esk11_0),X1)
| ~ r1(esk2_2(esk11_0,esk11_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,negated_conjecture,
r1(esk2_2(esk11_0,esk11_0),esk12_1(esk3_2(esk11_0,esk11_0))),
inference(spm,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( p2(esk12_1(esk3_2(esk11_0,esk11_0)))
| r1(X1,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),X1))
| ~ r1(esk2_2(esk11_0,esk11_0),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( ~ p2(esk12_1(X1))
| ~ r1(esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
( p2(esk12_1(esk3_2(esk11_0,esk11_0)))
| r1(esk2_2(esk11_0,esk11_0),esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_10]) ).
cnf(c_0_33,negated_conjecture,
r1(esk2_2(esk11_0,esk11_0),esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19])]) ).
cnf(c_0_34,negated_conjecture,
( r1(X1,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0)))
| ~ r1(X1,esk2_2(esk11_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
r1(esk11_0,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0))),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_36,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_4]) ).
cnf(c_0_37,negated_conjecture,
r1(esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0)),esk2_2(esk11_0,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0)))),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
p2(esk2_2(esk11_0,esk5_3(esk1_0,esk2_2(esk11_0,esk11_0),esk2_2(esk11_0,esk11_0)))),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( p2(X1)
| ~ r1(esk2_2(esk11_0,esk11_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_26]),c_0_10]),c_0_10]),c_0_25])]) ).
cnf(c_0_40,negated_conjecture,
p2(esk12_1(esk3_2(esk11_0,esk11_0))),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 22:01:50 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 2.23/2.27 % Version : CSE_E---1.5
% 2.23/2.27 % Problem : theBenchmark.p
% 2.23/2.27 % Proof found
% 2.23/2.27 % SZS status Theorem for theBenchmark.p
% 2.23/2.27 % SZS output start Proof
% See solution above
% 2.23/2.27 % Total time : 1.717000 s
% 2.23/2.27 % SZS output end Proof
% 2.23/2.27 % Total time : 1.719000 s
%------------------------------------------------------------------------------