TSTP Solution File: KRS017-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS017-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 05:39:59 EDT 2023
% Result : Unsatisfiable 0.23s 0.62s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 6 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
exists: $i ).
tff(decl_23,type,
e: $i > $o ).
tff(decl_24,type,
a: $i > $o ).
tff(decl_25,type,
u0r3: $i > $i ).
tff(decl_26,type,
r: ( $i * $i ) > $o ).
tff(decl_27,type,
u0r2: $i > $i ).
tff(decl_28,type,
u0r1: $i > $i ).
cnf(clause_4,axiom,
( a(X1)
| ~ e(X2)
| ~ r(X2,X3)
| ~ r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_3,axiom,
( r(X1,u0r3(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
~ a(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
e(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_0_4,axiom,
( a(X1)
| ~ e(X2)
| ~ r(X2,X3)
| ~ r(X1,X3) ),
clause_4 ).
cnf(c_0_5,axiom,
( r(X1,u0r3(X1))
| ~ e(X1) ),
clause_3 ).
cnf(c_0_6,plain,
( a(X1)
| ~ r(X1,u0r3(X2))
| ~ e(X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
~ a(exists),
clause_2 ).
cnf(c_0_8,plain,
( a(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
e(exists),
clause_1 ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : KRS017-1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 02:15:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.60 start to proof: theBenchmark
% 0.23/0.62 % Version : CSE_E---1.5
% 0.23/0.62 % Problem : theBenchmark.p
% 0.23/0.62 % Proof found
% 0.23/0.62 % SZS status Theorem for theBenchmark.p
% 0.23/0.62 % SZS output start Proof
% See solution above
% 0.23/0.62 % Total time : 0.003000 s
% 0.23/0.62 % SZS output end Proof
% 0.23/0.62 % Total time : 0.006000 s
%------------------------------------------------------------------------------