TSTP Solution File: SYN599-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN599-1 : 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 : n018.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 01:53:24 EDT 2023
% Result : Unsatisfiable 25.40s 25.50s
% Output : CNFRefutation 25.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 31
% Syntax : Number of formulae : 48 ( 12 unt; 22 typ; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 19 >; 8 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c21: $i ).
tff(decl_23,type,
p17: $i > $o ).
tff(decl_24,type,
p18: $i > $o ).
tff(decl_25,type,
p7: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p5: ( $i * $i ) > $o ).
tff(decl_29,type,
f6: $i > $i ).
tff(decl_30,type,
f4: $i > $i ).
tff(decl_31,type,
c22: $i ).
tff(decl_32,type,
f16: $i > $i ).
tff(decl_33,type,
f10: $i > $i ).
tff(decl_34,type,
f11: $i > $i ).
tff(decl_35,type,
f13: $i > $i ).
tff(decl_36,type,
f14: $i > $i ).
tff(decl_37,type,
f12: $i > $i ).
tff(decl_38,type,
f15: $i > $i ).
tff(decl_39,type,
p19: ( $i * $i ) > $o ).
tff(decl_40,type,
p20: ( $i * $i ) > $o ).
tff(decl_41,type,
f9: ( $i * $i ) > $i ).
tff(decl_42,type,
f8: ( $i * $i ) > $i ).
tff(decl_43,type,
c23: $i ).
cnf(p7_25,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p3(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p3_15,negated_conjecture,
( p3(f14(X1),f14(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
cnf(p3_7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p7_26,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
cnf(p19_23,negated_conjecture,
( p19(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p19(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
cnf(p19_29,negated_conjecture,
( p19(f15(f16(X1)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p18(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_29) ).
cnf(c21_is_p18_2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
cnf(not_p19_27,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c_0_9,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p3(X2,X4)
| ~ p7(X1,X3) ),
p7_25 ).
cnf(c_0_10,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_11,negated_conjecture,
( p3(f14(X1),f14(X2))
| ~ p3(X1,X2) ),
p3_15 ).
cnf(c_0_12,negated_conjecture,
p3(f4(f6(c21)),c22),
p3_7 ).
cnf(c_0_13,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_26 ).
cnf(c_0_14,negated_conjecture,
( p7(f9(X1,X2),f9(X1,X3))
| ~ p3(X2,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
p3(f14(f4(f6(c21))),f14(c22)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X2))
| ~ p7(X1,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
p7(f9(X1,f14(f4(f6(c21)))),f9(X1,f14(c22))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p19(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p19(X3,X4) ),
p19_23 ).
cnf(c_0_19,negated_conjecture,
p7(f8(f9(X1,f14(f4(f6(c21)))),X2),f8(f9(X1,f14(c22)),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p19(X1,f8(f9(X2,f14(c22)),X3))
| ~ p19(X4,f8(f9(X2,f14(f4(f6(c21)))),X3))
| ~ p7(X4,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p19(X1,f8(f9(X2,f14(c22)),X3))
| ~ p19(X1,f8(f9(X2,f14(f4(f6(c21)))),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( p19(f15(f16(X1)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p18(X1) ),
p19_29 ).
cnf(c_0_23,negated_conjecture,
p18(c21),
c21_is_p18_2 ).
cnf(c_0_24,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
not_p19_27 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN599-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 20:50:00 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 25.40/25.50 % Version : CSE_E---1.5
% 25.40/25.50 % Problem : theBenchmark.p
% 25.40/25.50 % Proof found
% 25.40/25.50 % SZS status Theorem for theBenchmark.p
% 25.40/25.50 % SZS output start Proof
% See solution above
% 25.40/25.50 % Total time : 24.911000 s
% 25.40/25.50 % SZS output end Proof
% 25.40/25.50 % Total time : 24.915000 s
%------------------------------------------------------------------------------