TSTP Solution File: SYN630-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN630-1 : 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 : n020.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 01:53:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 37
% Syntax : Number of formulae : 50 ( 14 unt; 29 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 21 >; 16 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: ( $i * $i ) > $o ).
tff(decl_24,type,
p4: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
c28: $i ).
tff(decl_27,type,
c29: $i ).
tff(decl_28,type,
f11: $i > $i ).
tff(decl_29,type,
f10: $i > $i ).
tff(decl_30,type,
f9: $i > $i ).
tff(decl_31,type,
p21: ( $i * $i ) > $o ).
tff(decl_32,type,
c27: $i ).
tff(decl_33,type,
c24: $i ).
tff(decl_34,type,
f12: ( $i * $i ) > $i ).
tff(decl_35,type,
f16: $i > $i ).
tff(decl_36,type,
f17: $i > $i ).
tff(decl_37,type,
c23: $i ).
tff(decl_38,type,
c25: $i ).
tff(decl_39,type,
f8: ( $i * $i ) > $i ).
tff(decl_40,type,
f7: ( $i * $i ) > $i ).
tff(decl_41,type,
c26: $i ).
tff(decl_42,type,
f5: ( $i * $i ) > $i ).
tff(decl_43,type,
f18: ( $i * $i ) > $i ).
tff(decl_44,type,
p22: ( $i * $i ) > $o ).
tff(decl_45,type,
f13: ( $i * $i ) > $i ).
tff(decl_46,type,
f14: ( $i * $i ) > $i ).
tff(decl_47,type,
f15: ( $i * $i ) > $i ).
tff(decl_48,type,
f19: ( $i * $i ) > $i ).
tff(decl_49,type,
f20: ( $i * $i ) > $i ).
tff(decl_50,type,
c30: $i ).
cnf(p22_19,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_19) ).
cnf(p22_17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_17) ).
cnf(p4_34,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
cnf(p3_30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
cnf(p21_5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_5) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(p21_6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_6) ).
cnf(not_p4_12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_12) ).
cnf(c_0_8,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
p22_19 ).
cnf(c_0_9,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
p22_17 ).
cnf(c_0_10,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
p4_34 ).
cnf(c_0_11,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
p3_30 ).
cnf(c_0_12,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
p21_5 ).
cnf(c_0_13,negated_conjecture,
( p22(X1,X2)
| ~ p4(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),X1)
| ~ p4(c27,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_15,negated_conjecture,
( p4(f5(f7(X1,f8(X2,c25)),c26),c27)
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
( p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),X1)
| ~ p4(c27,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
p21_6 ).
cnf(c_0_18,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
not_p4_12 ).
cnf(c_0_19,negated_conjecture,
p4(f5(f7(X1,f8(c24,c25)),c26),c27),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN630-1 : 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
% 0.13/0.34 % Computer : n020.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 20:59:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.55 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
% 0.20/0.61 % Total time : 0.049000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.052000 s
%------------------------------------------------------------------------------