TSTP Solution File: SYN584-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN584-1 : 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 : 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 01:53:20 EDT 2023
% Result : Unsatisfiable 0.21s 0.70s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 28
% Syntax : Number of formulae : 40 ( 12 unt; 21 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 15 >; 12 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p12: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: ( $i * $i ) > $o ).
tff(decl_24,type,
p5: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
f11: $i > $i ).
tff(decl_28,type,
f4: $i > $i ).
tff(decl_29,type,
f10: $i > $i ).
tff(decl_30,type,
p16: ( $i * $i ) > $o ).
tff(decl_31,type,
p15: ( $i * $i ) > $o ).
tff(decl_32,type,
f13: ( $i * $i ) > $i ).
tff(decl_33,type,
f8: ( $i * $i ) > $i ).
tff(decl_34,type,
f9: ( $i * $i ) > $i ).
tff(decl_35,type,
f7: ( $i * $i ) > $i ).
tff(decl_36,type,
f14: ( $i * $i ) > $i ).
tff(decl_37,type,
c22: $i ).
tff(decl_38,type,
c18: $i ).
tff(decl_39,type,
c19: $i ).
tff(decl_40,type,
c20: $i ).
tff(decl_41,type,
c21: $i ).
tff(decl_42,type,
c17: $i ).
cnf(p15_15,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X4)
| ~ p3(X4,X2)
| ~ p12(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_15) ).
cnf(p15_21,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_21) ).
cnf(p12_9,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
cnf(p12_1,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(p12_23,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_23) ).
cnf(not_p15_25,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_25) ).
cnf(c_0_7,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X4)
| ~ p3(X4,X2)
| ~ p12(X3,X1) ),
p15_15 ).
cnf(c_0_8,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
p15_21 ).
cnf(c_0_9,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_9 ).
cnf(c_0_10,negated_conjecture,
p12(X1,X1),
p12_1 ).
cnf(c_0_11,negated_conjecture,
( p15(X1,X2)
| ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),X2)
| ~ p12(c22,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_13,negated_conjecture,
( p12(X1,X2)
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
p12_23 ).
cnf(c_0_15,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
not_p15_25 ).
cnf(c_0_16,negated_conjecture,
( p15(X1,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| ~ p12(c22,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN584-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 17:51:02 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.70 % Version : CSE_E---1.5
% 0.21/0.70 % Problem : theBenchmark.p
% 0.21/0.70 % Proof found
% 0.21/0.70 % SZS status Theorem for theBenchmark.p
% 0.21/0.70 % SZS output start Proof
% See solution above
% 0.21/0.70 % Total time : 0.100000 s
% 0.21/0.70 % SZS output end Proof
% 0.21/0.70 % Total time : 0.103000 s
%------------------------------------------------------------------------------