TSTP Solution File: SYN728-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN728-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Fri Sep 1 01:54:09 EDT 2023
% Result : Unsatisfiable 0.22s 0.61s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 6 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 9 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p: ( $i * $i ) > $o ).
tff(decl_23,type,
m: $i > $o ).
tff(decl_24,type,
sk1: $i > $i ).
tff(decl_25,type,
f: ( $i * $i ) > $i ).
tff(decl_26,type,
q: $i > $o ).
tff(decl_27,type,
g: $i > $i ).
tff(decl_28,type,
sk2: $i ).
cnf(thm69_1,negated_conjecture,
( p(X1,X1)
| ~ p(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_1) ).
cnf(thm69_2,negated_conjecture,
( m(X1)
| p(X1,sk1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_2) ).
cnf(thm69_5,negated_conjecture,
( ~ p(sk2,sk2)
| ~ p(g(sk2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_5) ).
cnf(thm69_4,negated_conjecture,
( ~ m(g(X1))
| ~ q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_4) ).
cnf(thm69_3,negated_conjecture,
( q(f(X1,sk1(X1)))
| p(X1,sk1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_3) ).
cnf(c_0_5,negated_conjecture,
( p(X1,X1)
| ~ p(X2,X3) ),
thm69_1 ).
cnf(c_0_6,negated_conjecture,
( m(X1)
| p(X1,sk1(X1)) ),
thm69_2 ).
cnf(c_0_7,negated_conjecture,
( ~ p(sk2,sk2)
| ~ p(g(sk2),X1) ),
thm69_5 ).
cnf(c_0_8,negated_conjecture,
( m(X1)
| p(X2,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ m(g(X1))
| ~ q(X1) ),
thm69_4 ).
cnf(c_0_10,negated_conjecture,
m(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( q(f(X1,sk1(X1)))
| p(X1,sk1(X1)) ),
thm69_3 ).
cnf(c_0_12,negated_conjecture,
~ q(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
p(X1,sk1(X1)),
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
~ p(sk2,sk2),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p(X1,X1),
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SYN728-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 20:51:09 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.60 start to proof: theBenchmark
% 0.22/0.61 % Version : CSE_E---1.5
% 0.22/0.61 % Problem : theBenchmark.p
% 0.22/0.61 % Proof found
% 0.22/0.61 % SZS status Theorem for theBenchmark.p
% 0.22/0.61 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.004000 s
% 0.22/0.62 % SZS output end Proof
% 0.22/0.62 % Total time : 0.006000 s
%------------------------------------------------------------------------------