TSTP Solution File: SYN706-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN706-1 : 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 : n029.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 01:53:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.72s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 70
% Syntax : Number of formulae : 83 ( 11 unt; 61 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 47 >; 47 *; 0 +; 0 <<)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 14 con; 0-2 aty)
% Number of variables : 48 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p7: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p47: ( $i * $i ) > $o ).
tff(decl_27,type,
p43: ( $i * $i ) > $o ).
tff(decl_28,type,
p41: ( $i * $i ) > $o ).
tff(decl_29,type,
p4: ( $i * $i ) > $o ).
tff(decl_30,type,
p39: ( $i * $i ) > $o ).
tff(decl_31,type,
p37: ( $i * $i ) > $o ).
tff(decl_32,type,
p36: ( $i * $i ) > $o ).
tff(decl_33,type,
p33: ( $i * $i ) > $o ).
tff(decl_34,type,
p3: ( $i * $i ) > $o ).
tff(decl_35,type,
p29: ( $i * $i ) > $o ).
tff(decl_36,type,
p27: ( $i * $i ) > $o ).
tff(decl_37,type,
p26: ( $i * $i ) > $o ).
tff(decl_38,type,
p24: ( $i * $i ) > $o ).
tff(decl_39,type,
p22: ( $i * $i ) > $o ).
tff(decl_40,type,
p21: ( $i * $i ) > $o ).
tff(decl_41,type,
p2: ( $i * $i ) > $o ).
tff(decl_42,type,
p19: ( $i * $i ) > $o ).
tff(decl_43,type,
p18: ( $i * $i ) > $o ).
tff(decl_44,type,
p16: ( $i * $i ) > $o ).
tff(decl_45,type,
p15: ( $i * $i ) > $o ).
tff(decl_46,type,
p13: ( $i * $i ) > $o ).
tff(decl_47,type,
p12: ( $i * $i ) > $o ).
tff(decl_48,type,
c52: $i ).
tff(decl_49,type,
c50: $i ).
tff(decl_50,type,
f20: ( $i * $i ) > $i ).
tff(decl_51,type,
c58: $i ).
tff(decl_52,type,
p45: ( $i * $i ) > $o ).
tff(decl_53,type,
c49: $i ).
tff(decl_54,type,
f5: ( $i * $i ) > $i ).
tff(decl_55,type,
c51: $i ).
tff(decl_56,type,
c59: $i ).
tff(decl_57,type,
f40: ( $i * $i ) > $i ).
tff(decl_58,type,
f38: ( $i * $i ) > $i ).
tff(decl_59,type,
c60: $i ).
tff(decl_60,type,
p48: ( $i * $i ) > $o ).
tff(decl_61,type,
p46: ( $i * $i ) > $o ).
tff(decl_62,type,
c54: $i ).
tff(decl_63,type,
c55: $i ).
tff(decl_64,type,
f17: ( $i * $i ) > $i ).
tff(decl_65,type,
f35: ( $i * $i ) > $i ).
tff(decl_66,type,
f14: ( $i * $i ) > $i ).
tff(decl_67,type,
f11: ( $i * $i ) > $i ).
tff(decl_68,type,
f8: ( $i * $i ) > $i ).
tff(decl_69,type,
c56: $i ).
tff(decl_70,type,
c57: $i ).
tff(decl_71,type,
f34: ( $i * $i ) > $i ).
tff(decl_72,type,
f32: ( $i * $i ) > $i ).
tff(decl_73,type,
f31: ( $i * $i ) > $i ).
tff(decl_74,type,
f28: ( $i * $i ) > $i ).
tff(decl_75,type,
f25: ( $i * $i ) > $i ).
tff(decl_76,type,
f44: ( $i * $i ) > $i ).
tff(decl_77,type,
p30: ( $i * $i ) > $o ).
tff(decl_78,type,
f23: ( $i * $i ) > $i ).
tff(decl_79,type,
f42: ( $i * $i ) > $i ).
tff(decl_80,type,
c53: $i ).
tff(decl_81,type,
c62: $i ).
tff(decl_82,type,
c61: $i ).
cnf(p48_57,negated_conjecture,
( p48(X1,X2)
| ~ p47(X3,X2)
| ~ p48(X4,X3)
| ~ p37(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).
cnf(p37_67,negated_conjecture,
( p37(f38(X1,X2),f38(X3,X4))
| ~ p36(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).
cnf(p48_81,negated_conjecture,
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
| ~ p45(f20(c52,c50),X2)
| ~ p46(f23(c53,X1),f5(c49,c50)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).
cnf(p7_59,negated_conjecture,
p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).
cnf(p46_78,negated_conjecture,
( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
| ~ p45(f20(c52,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).
cnf(not_p48_29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).
cnf(p45_27,negated_conjecture,
p45(f20(c52,c50),c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).
cnf(p36_11,negated_conjecture,
p36(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_11) ).
cnf(p47_5,negated_conjecture,
p47(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).
cnf(c_0_9,negated_conjecture,
( p48(X1,X2)
| ~ p47(X3,X2)
| ~ p48(X4,X3)
| ~ p37(X4,X1) ),
p48_57 ).
cnf(c_0_10,negated_conjecture,
( p37(f38(X1,X2),f38(X3,X4))
| ~ p36(X1,X3)
| ~ p7(X2,X4) ),
p37_67 ).
cnf(c_0_11,negated_conjecture,
( p48(f38(X1,X2),X3)
| ~ p48(f38(X4,X5),X6)
| ~ p36(X4,X1)
| ~ p47(X6,X3)
| ~ p7(X5,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
| ~ p45(f20(c52,c50),X2)
| ~ p46(f23(c53,X1),f5(c49,c50)) ),
p48_81 ).
cnf(c_0_13,negated_conjecture,
( p48(f38(X1,X2),X3)
| ~ p46(f23(c53,X4),f5(c49,c50))
| ~ p45(f20(c52,c50),X5)
| ~ p36(f40(c59,c50),X1)
| ~ p47(c60,X3)
| ~ p7(f8(f11(c54,f14(f17(c55,c61),X4)),X5),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
p7_59 ).
cnf(c_0_15,negated_conjecture,
( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
| ~ p45(f20(c52,X3),X1) ),
p46_78 ).
cnf(c_0_16,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
not_p48_29 ).
cnf(c_0_17,negated_conjecture,
( p48(f38(X1,X2),X3)
| ~ p45(f20(c52,c50),X2)
| ~ p36(f40(c59,c50),X1)
| ~ p47(c60,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p45(f20(c52,c50),c58),
p45_27 ).
cnf(c_0_19,negated_conjecture,
p36(X1,X1),
p36_11 ).
cnf(c_0_20,negated_conjecture,
p47(X1,X1),
p47_5 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN706-1 : 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
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 21:21:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.66 start to proof: theBenchmark
% 0.21/0.72 % Version : CSE_E---1.5
% 0.21/0.72 % Problem : theBenchmark.p
% 0.21/0.72 % Proof found
% 0.21/0.72 % SZS status Theorem for theBenchmark.p
% 0.21/0.72 % SZS output start Proof
% See solution above
% 0.21/0.73 % Total time : 0.048000 s
% 0.21/0.73 % SZS output end Proof
% 0.21/0.73 % Total time : 0.051000 s
%------------------------------------------------------------------------------