TSTP Solution File: SYN615-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN615-1 : 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 : n001.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 01:53:28 EDT 2023
% Result : Unsatisfiable 23.67s 23.72s
% Output : CNFRefutation 23.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 66 ( 17 unt; 27 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 48 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 19 >; 14 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p13: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p2: ( $i * $i ) > $o ).
tff(decl_25,type,
p15: ( $i * $i ) > $o ).
tff(decl_26,type,
c26: $i ).
tff(decl_27,type,
c22: $i ).
tff(decl_28,type,
f3: $i > $i ).
tff(decl_29,type,
c21: $i ).
tff(decl_30,type,
c23: $i ).
tff(decl_31,type,
f5: $i > $i ).
tff(decl_32,type,
f4: $i > $i ).
tff(decl_33,type,
p19: ( $i * $i ) > $o ).
tff(decl_34,type,
c24: $i ).
tff(decl_35,type,
f6: ( $i * $i ) > $i ).
tff(decl_36,type,
p20: ( $i * $i ) > $o ).
tff(decl_37,type,
f12: $i > $i ).
tff(decl_38,type,
f11: $i > $i ).
tff(decl_39,type,
c28: $i ).
tff(decl_40,type,
c27: $i ).
tff(decl_41,type,
f17: ( $i * $i ) > $i ).
tff(decl_42,type,
f16: ( $i * $i ) > $i ).
tff(decl_43,type,
c25: $i ).
tff(decl_44,type,
f14: ( $i * $i ) > $i ).
tff(decl_45,type,
f9: ( $i * $i ) > $i ).
tff(decl_46,type,
f8: ( $i * $i ) > $i ).
tff(decl_47,type,
f10: ( $i * $i ) > $i ).
tff(decl_48,type,
f18: ( $i * $i ) > $i ).
cnf(p2_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p2_5,negated_conjecture,
p2(c26,f3(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p7_16,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_16) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p2_14,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p7_23,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_23) ).
cnf(p7_29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_29) ).
cnf(p2_3,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(not_p19_30,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p20(X2,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X1),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X2),f10(f11(f3(f4(f5(c22)))),c27))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_30) ).
cnf(p20_8,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_8) ).
cnf(p7_24,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
cnf(p19_7,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_7) ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_17 ).
cnf(c_0_13,negated_conjecture,
p2(c26,f3(c22)),
p2_5 ).
cnf(c_0_14,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_16 ).
cnf(c_0_15,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,f3(c22))
| ~ p2(c26,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
p2_14 ).
cnf(c_0_18,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_23 ).
cnf(c_0_19,negated_conjecture,
( p7(X1,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
p7_29 ).
cnf(c_0_21,negated_conjecture,
( p2(X1,f3(c22))
| ~ p2(c26,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p2(X1,f14(f16(c28,f17(c21,c27)),c25))
| ~ p2(c26,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_3 ).
cnf(c_0_24,negated_conjecture,
( p7(X1,f8(X2,X3))
| ~ p7(f8(X4,X5),X1)
| ~ p7(X5,X3)
| ~ p7(X4,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( p2(X1,f3(c22))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
( p7(c25,f8(X1,X2))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),X2)
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p20(X2,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X1),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X2),f10(f11(f3(f4(f5(c22)))),c27))))) ),
not_p19_30 ).
cnf(c_0_29,negated_conjecture,
p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_17])]) ).
cnf(c_0_30,negated_conjecture,
( p7(c25,f8(X1,f8(X2,X3)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),X3)
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1)
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X2,f3(f4(f5(c22))))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X2),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_32,negated_conjecture,
( p7(c25,f8(X1,f8(X2,f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1)
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_33,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
p20_8 ).
cnf(c_0_34,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_35,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
p7_24 ).
cnf(c_0_36,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]),c_0_15])]) ).
cnf(c_0_37,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
p19_7 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN615-1 : 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
% 0.13/0.34 % Computer : n001.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 18:39:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 23.67/23.72 % Version : CSE_E---1.5
% 23.67/23.72 % Problem : theBenchmark.p
% 23.67/23.72 % Proof found
% 23.67/23.72 % SZS status Theorem for theBenchmark.p
% 23.67/23.72 % SZS output start Proof
% See solution above
% 23.67/23.73 % Total time : 23.167000 s
% 23.67/23.73 % SZS output end Proof
% 23.67/23.73 % Total time : 23.172000 s
%------------------------------------------------------------------------------