TSTP Solution File: LCL646+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL646+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 : n002.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 06:56:41 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 4 unt; 12 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 86 ( 40 ~; 35 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn; 20 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: $i > $o ).
tff(decl_24,type,
p2: $i > $o ).
tff(decl_25,type,
p4: $i > $o ).
tff(decl_26,type,
p5: $i > $o ).
tff(decl_27,type,
p3: $i > $o ).
tff(decl_28,type,
p1: $i > $o ).
tff(decl_29,type,
esk1_0: $i ).
tff(decl_30,type,
esk2_0: $i ).
tff(decl_31,type,
esk3_0: $i ).
tff(decl_32,type,
esk4_0: $i ).
tff(decl_33,type,
esk5_0: $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p6(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p6(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X6,X7] :
( ( ~ r1(esk1_0,X4)
| p6(X4) )
& ( ~ r1(esk1_0,X5)
| p2(X5) )
& ( ~ r1(esk1_0,X6)
| p4(X6) )
& ( ~ r1(esk1_0,X7)
| p2(X7) )
& r1(esk1_0,esk2_0)
& ~ p5(esk2_0)
& r1(esk1_0,esk3_0)
& ~ p3(esk3_0)
& r1(esk1_0,esk4_0)
& ~ p2(esk4_0)
& r1(esk1_0,esk5_0)
& ~ p1(esk5_0) ),
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,
~ p2(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p2(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
~ r1(esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.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 : Fri Aug 25 01:06:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.56 % Version : CSE_E---1.5
% 0.20/0.56 % Problem : theBenchmark.p
% 0.20/0.56 % Proof found
% 0.20/0.56 % SZS status Theorem for theBenchmark.p
% 0.20/0.56 % SZS output start Proof
% See solution above
% 0.20/0.57 % Total time : 0.004000 s
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 % Total time : 0.006000 s
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