TSTP Solution File: SYN717-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN717-1 : 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 : 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 01:53:55 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 97
% Syntax : Number of formulae : 111 ( 12 unt; 89 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 60 >; 60 *; 0 +; 0 <<)
% Number of predicates : 39 ( 38 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 29 con; 0-2 aty)
% Number of variables : 40 ( 5 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,
p57: ( $i * $i ) > $o ).
tff(decl_27,type,
p55: ( $i * $i ) > $o ).
tff(decl_28,type,
p53: ( $i * $i ) > $o ).
tff(decl_29,type,
p52: ( $i * $i ) > $o ).
tff(decl_30,type,
p50: ( $i * $i ) > $o ).
tff(decl_31,type,
p49: ( $i * $i ) > $o ).
tff(decl_32,type,
p47: ( $i * $i ) > $o ).
tff(decl_33,type,
p46: ( $i * $i ) > $o ).
tff(decl_34,type,
p44: ( $i * $i ) > $o ).
tff(decl_35,type,
p41: ( $i * $i ) > $o ).
tff(decl_36,type,
p4: ( $i * $i ) > $o ).
tff(decl_37,type,
p39: ( $i * $i ) > $o ).
tff(decl_38,type,
p37: ( $i * $i ) > $o ).
tff(decl_39,type,
p35: ( $i * $i ) > $o ).
tff(decl_40,type,
p34: ( $i * $i ) > $o ).
tff(decl_41,type,
p32: ( $i * $i ) > $o ).
tff(decl_42,type,
p30: ( $i * $i ) > $o ).
tff(decl_43,type,
p3: ( $i * $i ) > $o ).
tff(decl_44,type,
p28: ( $i * $i ) > $o ).
tff(decl_45,type,
p27: ( $i * $i ) > $o ).
tff(decl_46,type,
p26: ( $i * $i ) > $o ).
tff(decl_47,type,
p24: ( $i * $i ) > $o ).
tff(decl_48,type,
p23: ( $i * $i ) > $o ).
tff(decl_49,type,
p22: ( $i * $i ) > $o ).
tff(decl_50,type,
p20: ( $i * $i ) > $o ).
tff(decl_51,type,
p2: ( $i * $i ) > $o ).
tff(decl_52,type,
p19: ( $i * $i ) > $o ).
tff(decl_53,type,
p18: ( $i * $i ) > $o ).
tff(decl_54,type,
p16: ( $i * $i ) > $o ).
tff(decl_55,type,
p14: ( $i * $i ) > $o ).
tff(decl_56,type,
p12: ( $i * $i ) > $o ).
tff(decl_57,type,
c79: $i ).
tff(decl_58,type,
c77: $i ).
tff(decl_59,type,
c64: $i ).
tff(decl_60,type,
c72: $i ).
tff(decl_61,type,
p59: ( $i * $i ) > $o ).
tff(decl_62,type,
c69: $i ).
tff(decl_63,type,
c63: $i ).
tff(decl_64,type,
c62: $i ).
tff(decl_65,type,
c75: $i ).
tff(decl_66,type,
f25: ( $i * $i ) > $i ).
tff(decl_67,type,
c76: $i ).
tff(decl_68,type,
c78: $i ).
tff(decl_69,type,
f21: ( $i * $i ) > $i ).
tff(decl_70,type,
p60: ( $i * $i ) > $o ).
tff(decl_71,type,
c70: $i ).
tff(decl_72,type,
c71: $i ).
tff(decl_73,type,
f17: ( $i * $i ) > $i ).
tff(decl_74,type,
f15: ( $i * $i ) > $i ).
tff(decl_75,type,
c73: $i ).
tff(decl_76,type,
c74: $i ).
tff(decl_77,type,
f33: ( $i * $i ) > $i ).
tff(decl_78,type,
f31: ( $i * $i ) > $i ).
tff(decl_79,type,
f29: ( $i * $i ) > $i ).
tff(decl_80,type,
c65: $i ).
tff(decl_81,type,
c66: $i ).
tff(decl_82,type,
f13: ( $i * $i ) > $i ).
tff(decl_83,type,
c67: $i ).
tff(decl_84,type,
f11: ( $i * $i ) > $i ).
tff(decl_85,type,
f8: ( $i * $i ) > $i ).
tff(decl_86,type,
c80: $i ).
tff(decl_87,type,
c68: $i ).
tff(decl_88,type,
f5: ( $i * $i ) > $i ).
tff(decl_89,type,
p61: ( $i * $i ) > $o ).
tff(decl_90,type,
f45: ( $i * $i ) > $i ).
tff(decl_91,type,
f56: ( $i * $i ) > $i ).
tff(decl_92,type,
f36: ( $i * $i ) > $i ).
tff(decl_93,type,
f40: ( $i * $i ) > $i ).
tff(decl_94,type,
f43: ( $i * $i ) > $i ).
tff(decl_95,type,
f38: ( $i * $i ) > $i ).
tff(decl_96,type,
f42: ( $i * $i ) > $i ).
tff(decl_97,type,
f48: ( $i * $i ) > $i ).
tff(decl_98,type,
f51: ( $i * $i ) > $i ).
tff(decl_99,type,
f54: ( $i * $i ) > $i ).
tff(decl_100,type,
f58: ( $i * $i ) > $i ).
tff(decl_101,type,
c86: $i ).
tff(decl_102,type,
c88: $i ).
tff(decl_103,type,
c89: $i ).
tff(decl_104,type,
c90: $i ).
tff(decl_105,type,
c87: $i ).
tff(decl_106,type,
c81: $i ).
tff(decl_107,type,
c82: $i ).
tff(decl_108,type,
c83: $i ).
tff(decl_109,type,
c84: $i ).
tff(decl_110,type,
c85: $i ).
cnf(p60_84,negated_conjecture,
( p60(X1,X2)
| ~ p24(X3,X1)
| ~ p60(X3,X4)
| ~ p20(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_84) ).
cnf(p20_29,negated_conjecture,
p20(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_29) ).
cnf(not_p60_107,negated_conjecture,
( ~ p60(f25(c75,X1),f21(c76,X2))
| ~ p59(f29(c73,f31(f33(c74,X3),X2)),c72)
| ~ p59(f29(c73,f31(f33(c74,X1),X4)),c72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p60_107) ).
cnf(p59_44,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_44) ).
cnf(p24_94,negated_conjecture,
( p24(f25(X1,X2),f25(X3,X4))
| ~ p22(X1,X3)
| ~ p23(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_94) ).
cnf(p60_42,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_42) ).
cnf(p22_28,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).
cnf(p23_36,negated_conjecture,
p23(c79,c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_36) ).
cnf(c_0_8,negated_conjecture,
( p60(X1,X2)
| ~ p24(X3,X1)
| ~ p60(X3,X4)
| ~ p20(X4,X2) ),
p60_84 ).
cnf(c_0_9,negated_conjecture,
p20(X1,X1),
p20_29 ).
cnf(c_0_10,negated_conjecture,
( ~ p60(f25(c75,X1),f21(c76,X2))
| ~ p59(f29(c73,f31(f33(c74,X3),X2)),c72)
| ~ p59(f29(c73,f31(f33(c74,X1),X4)),c72) ),
not_p60_107 ).
cnf(c_0_11,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
p59_44 ).
cnf(c_0_12,negated_conjecture,
( p60(X1,X2)
| ~ p60(X3,X2)
| ~ p24(X3,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p24(f25(X1,X2),f25(X3,X4))
| ~ p22(X1,X3)
| ~ p23(X2,X4) ),
p24_94 ).
cnf(c_0_14,negated_conjecture,
( ~ p60(f25(c75,X1),f21(c76,c78))
| ~ p59(f29(c73,f31(f33(c74,X1),X2)),c72) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p60(f25(X1,X2),X3)
| ~ p60(f25(X4,X5),X3)
| ~ p22(X4,X1)
| ~ p23(X5,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
p60_42 ).
cnf(c_0_17,negated_conjecture,
~ p60(f25(c75,c77),f21(c76,c78)),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( p60(f25(X1,X2),f21(c76,c78))
| ~ p22(c75,X1)
| ~ p23(c79,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p22(X1,X1),
p22_28 ).
cnf(c_0_20,negated_conjecture,
p23(c79,c77),
p23_36 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN717-1 : 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 : n013.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 21:21:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.028000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.033000 s
%------------------------------------------------------------------------------