TSTP Solution File: LCL672+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL672+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 : n016.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 06:58:58 EDT 2023
% Result : Theorem 0.97s 1.06s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 46 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 90 ( 8 avg)
% Number of connectives : 482 ( 230 ~; 211 |; 40 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 8 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn; 88 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p2: $i > $o ).
tff(decl_24,type,
p1: $i > $o ).
tff(decl_25,type,
esk1_0: $i ).
tff(decl_26,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_27,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_29,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk6_1: $i > $i ).
tff(decl_31,type,
esk7_0: $i ).
tff(decl_32,type,
esk8_0: $i ).
tff(decl_33,type,
esk9_0: $i ).
tff(decl_34,type,
esk10_0: $i ).
tff(decl_35,type,
esk11_0: $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [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)
| p1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] : ~ r1(X2,X1) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [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)
| p1(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_4,negated_conjecture,
! [X9,X10,X11,X13,X14,X15,X16,X17,X19,X20,X21,X22,X23,X25,X26,X28,X29,X30,X32,X36] :
( ( r1(X11,esk2_2(X10,X11))
| ~ r1(X10,X11)
| ~ p1(X10)
| ~ r1(esk1_0,X10)
| ~ r1(esk1_0,X9)
| p2(X9)
| ~ r1(esk1_0,X13)
| p1(X13) )
& ( p1(esk2_2(X10,X11))
| ~ r1(X10,X11)
| ~ p1(X10)
| ~ r1(esk1_0,X10)
| ~ r1(esk1_0,X9)
| p2(X9)
| ~ r1(esk1_0,X13)
| p1(X13) )
& ( r1(X17,esk3_3(X15,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X16,X19)
| p1(X19)
| ~ r1(X15,X16)
| ~ r1(esk1_0,X15)
| ~ r1(esk1_0,X14)
| p2(X14)
| ~ r1(esk1_0,X20)
| p1(X20) )
& ( ~ p1(esk3_3(X15,X16,X17))
| ~ r1(X16,X17)
| ~ r1(X16,X19)
| p1(X19)
| ~ r1(X15,X16)
| ~ r1(esk1_0,X15)
| ~ r1(esk1_0,X14)
| p2(X14)
| ~ r1(esk1_0,X20)
| p1(X20) )
& ( r1(X26,esk5_2(X22,X26))
| ~ r1(X22,X26)
| r1(X23,esk4_2(X22,X23))
| ~ r1(X22,X23)
| ~ r1(esk1_0,X22)
| ~ r1(esk1_0,X21)
| p2(X21)
| ~ r1(esk1_0,X28)
| p1(X28) )
& ( ~ p1(esk5_2(X22,X26))
| ~ r1(X22,X26)
| r1(X23,esk4_2(X22,X23))
| ~ r1(X22,X23)
| ~ r1(esk1_0,X22)
| ~ r1(esk1_0,X21)
| p2(X21)
| ~ r1(esk1_0,X28)
| p1(X28) )
& ( r1(X26,esk5_2(X22,X26))
| ~ r1(X22,X26)
| ~ r1(esk4_2(X22,X23),X25)
| p1(X25)
| ~ r1(X22,X23)
| ~ r1(esk1_0,X22)
| ~ r1(esk1_0,X21)
| p2(X21)
| ~ r1(esk1_0,X28)
| p1(X28) )
& ( ~ p1(esk5_2(X22,X26))
| ~ r1(X22,X26)
| ~ r1(esk4_2(X22,X23),X25)
| p1(X25)
| ~ r1(X22,X23)
| ~ r1(esk1_0,X22)
| ~ r1(esk1_0,X21)
| p2(X21)
| ~ r1(esk1_0,X28)
| p1(X28) )
& ( ~ r1(esk1_0,X29)
| p2(X29)
| ~ r1(esk1_0,X30)
| r1(X30,esk6_1(X30))
| ~ r1(esk1_0,X32)
| p1(X32) )
& r1(esk1_0,esk7_0)
& ~ p2(esk7_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk9_0)
& ( ~ r1(esk9_0,X36)
| p1(X36) )
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& r1(esk1_0,esk11_0)
& ~ p1(esk11_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_3])])])])]) ).
fof(c_0_5,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_6,negated_conjecture,
( r1(X1,esk3_3(X2,X3,X1))
| p1(X4)
| p2(X5)
| p1(X6)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X5)
| ~ r1(esk1_0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
r1(esk8_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
~ p1(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
r1(esk1_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_11,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(X3,esk3_3(X4,esk8_0,X3))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X4)
| ~ r1(esk8_0,X3)
| ~ r1(X4,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( r1(X1,esk11_0)
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ p1(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
r1(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( p1(X4)
| p2(X5)
| p1(X6)
| ~ p1(esk3_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X2,X4)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X5)
| ~ r1(esk1_0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( p1(X1)
| ~ r1(esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( p2(X1)
| r1(X2,esk3_3(X3,esk8_0,X2))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| ~ r1(esk8_0,X2)
| ~ r1(X3,esk8_0) ),
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_20,negated_conjecture,
( r1(X1,esk7_0)
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ p2(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk9_0,esk3_3(X4,X5,X6))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X4)
| ~ r1(X5,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( r1(X1,esk3_3(X2,esk8_0,X1))
| ~ r1(esk1_0,X2)
| ~ r1(esk8_0,X1)
| ~ r1(X2,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14])]),c_0_21]) ).
cnf(c_0_24,negated_conjecture,
r1(esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X4)
| ~ r1(esk8_0,X2)
| ~ r1(X4,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
( r1(X1,esk8_0)
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]),c_0_14])]) ).
cnf(c_0_29,negated_conjecture,
( p1(X1)
| p2(X2)
| ~ r1(esk1_0,X2)
| ~ r1(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_30,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_14])]),c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_30]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Fri Aug 25 08:02:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.97/1.06 % Version : CSE_E---1.5
% 0.97/1.06 % Problem : theBenchmark.p
% 0.97/1.06 % Proof found
% 0.97/1.06 % SZS status Theorem for theBenchmark.p
% 0.97/1.06 % SZS output start Proof
% See solution above
% 0.97/1.06 % Total time : 0.466000 s
% 0.97/1.06 % SZS output end Proof
% 0.97/1.06 % Total time : 0.469000 s
%------------------------------------------------------------------------------