TSTP Solution File: SYN568-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN568-1 : 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 : n013.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 01:53:16 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of formulae : 30 ( 10 unt; 13 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 10 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p3: ( $i * $i ) > $o ).
tff(decl_24,type,
c13: $i ).
tff(decl_25,type,
f9: $i > $i ).
tff(decl_26,type,
c14: $i ).
tff(decl_27,type,
p11: ( $i * $i ) > $o ).
tff(decl_28,type,
c12: $i ).
tff(decl_29,type,
f6: $i > $i ).
tff(decl_30,type,
f5: $i > $i ).
tff(decl_31,type,
p10: ( $i * $i ) > $o ).
tff(decl_32,type,
f8: $i > $i ).
tff(decl_33,type,
f7: $i > $i ).
tff(decl_34,type,
f4: ( $i * $i ) > $i ).
cnf(not_p10_6,negated_conjecture,
( ~ p10(X1,X2)
| ~ p11(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_6) ).
cnf(p3_20,negated_conjecture,
( p3(X1,f6(c12))
| p10(f4(X2,X1),f4(X3,X1))
| ~ p10(X2,X3)
| ~ p11(f5(f6(c12)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
cnf(p11_18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).
cnf(p11_4,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_4) ).
cnf(not_p3_7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
cnf(p10_5,negated_conjecture,
( p10(X1,X2)
| p11(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).
cnf(not_p11_3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_3) ).
cnf(c_0_7,negated_conjecture,
( ~ p10(X1,X2)
| ~ p11(X2,X1) ),
not_p10_6 ).
cnf(c_0_8,negated_conjecture,
( p3(X1,f6(c12))
| p10(f4(X2,X1),f4(X3,X1))
| ~ p10(X2,X3)
| ~ p11(f5(f6(c12)),X2) ),
p3_20 ).
cnf(c_0_9,negated_conjecture,
( p3(X1,f6(c12))
| ~ p10(X2,X3)
| ~ p11(f4(X3,X1),f4(X2,X1))
| ~ p11(f5(f6(c12)),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
p11_18 ).
cnf(c_0_11,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
p11_4 ).
cnf(c_0_12,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
not_p3_7 ).
cnf(c_0_13,negated_conjecture,
~ p10(f9(c14),f9(c13)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p10(X1,X2)
| p11(X2,X1) ),
p10_5 ).
cnf(c_0_15,negated_conjecture,
~ p11(f9(c13),f9(c14)),
not_p11_3 ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN568-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n013.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:34:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.004000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.007000 s
%------------------------------------------------------------------------------