TSTP Solution File: LCL638+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL638+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 : 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 06:54:51 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 54 ( 7 avg)
% Number of connectives : 305 ( 159 ~; 125 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn; 53 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p1: $i > $o ).
tff(decl_24,type,
esk1_0: $i ).
tff(decl_25,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_26,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_27,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
esk5_1: $i > $i ).
tff(decl_29,type,
esk6_1: $i > $i ).
tff(decl_30,type,
esk7_1: $i > $i ).
tff(decl_31,type,
esk8_0: $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(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)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(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)
| ~ ( ~ ! [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) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12,X15,X16,X17,X18,X20,X23] :
( ( r1(X5,esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) )
& ( ~ p1(esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) )
& ( r1(X8,esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( p1(esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( r1(X10,esk5_1(X10))
| r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(X10,esk5_1(X10))
| p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(X16,esk6_1(X16))
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(esk1_0,X16) )
& ( ~ p1(esk6_1(X16))
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(esk1_0,X16) )
& ( ~ r1(esk1_0,X20)
| r1(X20,esk7_1(X20)) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ( ~ r1(esk8_0,X23)
| p1(X23) ) ),
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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( r1(X1,esk6_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p1(X1)
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( r1(X1,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| p1(X2)
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ p1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( p1(X1)
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
cnf(c_0_10,negated_conjecture,
( r1(X1,esk2_2(esk8_0,X1))
| ~ r1(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,esk7_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| ~ p1(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| r1(esk8_0,esk6_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_4])]) ).
cnf(c_0_14,negated_conjecture,
( p1(X3)
| ~ p1(esk6_1(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,esk7_1(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_4])]),c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,esk6_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
r1(esk8_0,esk6_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_4])]) ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_4])]) ).
cnf(c_0_20,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_6]),c_0_4])]) ).
cnf(c_0_21,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| ~ r1(esk8_0,esk7_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_22,negated_conjecture,
~ r1(esk8_0,esk7_1(esk8_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_4])]),c_0_8]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_6]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 : Thu Aug 24 21:26:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.63 start to proof: theBenchmark
% 0.20/0.64 % Version : CSE_E---1.5
% 0.20/0.64 % Problem : theBenchmark.p
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark.p
% 0.20/0.64 % SZS output start Proof
% See solution above
% 0.20/0.65 % Total time : 0.010000 s
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time : 0.013000 s
%------------------------------------------------------------------------------