TSTP Solution File: LCL644+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL644+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 : n026.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 06:56:39 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 21 ( 3 unt; 14 typ; 0 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 370 ( 68 avg)
% Number of connectives : 786 ( 312 ~; 402 |; 71 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 10 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn; 45 !; 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,
epred1_1: $i > $o ).
tff(decl_26,type,
esk1_0: $i ).
tff(decl_27,type,
esk2_1: $i > $i ).
tff(decl_28,type,
esk3_1: $i > $i ).
tff(decl_29,type,
esk4_0: $i ).
tff(decl_30,type,
esk5_0: $i ).
tff(decl_31,type,
esk6_0: $i ).
tff(decl_32,type,
esk7_1: $i > $i ).
tff(decl_33,type,
esk8_1: $i > $i ).
tff(decl_34,type,
esk9_1: $i > $i ).
tff(decl_35,type,
esk10_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X1] :
( epred1_1(X1)
<=> ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( epred1_1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X4,X6,X9,X10,X12,X14] :
( ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& r1(esk1_0,esk5_0)
& ~ p1(esk5_0)
& ( ~ r1(esk5_0,X12)
| p1(X12) )
& p1(esk5_0)
& r1(esk1_0,esk6_0)
& ~ p1(esk6_0)
& ( ~ r1(esk6_0,X14)
| p1(X14) )
& p1(esk6_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_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
~ p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL644+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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 02:35:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 0.21/0.56 % Version : CSE_E---1.5
% 0.21/0.56 % Problem : theBenchmark.p
% 0.21/0.56 % Proof found
% 0.21/0.56 % SZS status Theorem for theBenchmark.p
% 0.21/0.56 % SZS output start Proof
% See solution above
% 0.21/0.57 % Total time : 0.007000 s
% 0.21/0.57 % SZS output end Proof
% 0.21/0.57 % Total time : 0.010000 s
%------------------------------------------------------------------------------