TSTP Solution File: SYN567-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN567-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 01:53:15 EDT 2023
% Result : Unsatisfiable 0.55s 0.62s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 25 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p5: ( $i * $i ) > $o ).
tff(decl_24,type,
f6: $i > $i ).
tff(decl_25,type,
f8: $i > $i ).
tff(decl_26,type,
c9: $i ).
tff(decl_27,type,
c10: $i ).
tff(decl_28,type,
f4: $i > $i ).
tff(decl_29,type,
f3: $i > $i ).
tff(decl_30,type,
f7: $i > $i ).
cnf(p2_19,negated_conjecture,
( p2(X1,f3(f4(c10)))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
cnf(p2_10,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p5_3,negated_conjecture,
p5(f8(f6(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
cnf(not_p2_12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_12) ).
cnf(not_p2_6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
cnf(not_p2_5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).
cnf(not_p2_4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_4) ).
cnf(c_0_7,negated_conjecture,
( p2(X1,f3(f4(c10)))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X1)),X1) ),
p2_19 ).
cnf(c_0_8,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
p2_10 ).
cnf(c_0_9,negated_conjecture,
p5(f8(f6(X1)),X1),
p5_3 ).
cnf(c_0_10,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
not_p2_12 ).
cnf(c_0_11,negated_conjecture,
( p2(f6(X1),f3(f7(f7(f7(f4(c10))))))
| p2(f6(X1),f3(f7(f7(f4(c10)))))
| p2(f6(X1),f3(f7(f4(c10))))
| p2(f6(X1),f3(f4(c10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
not_p2_6 ).
cnf(c_0_13,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
not_p2_5 ).
cnf(c_0_14,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
not_p2_4 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN567-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.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 : Sat Aug 26 17:36:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 0.55/0.62 % Version : CSE_E---1.5
% 0.55/0.62 % Problem : theBenchmark.p
% 0.55/0.62 % Proof found
% 0.55/0.62 % SZS status Theorem for theBenchmark.p
% 0.55/0.62 % SZS output start Proof
% See solution above
% 0.55/0.62 % Total time : 0.020000 s
% 0.55/0.62 % SZS output end Proof
% 0.55/0.62 % Total time : 0.023000 s
%------------------------------------------------------------------------------