TSTP Solution File: SYN713-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN713-1 : 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 : n027.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 01:53:54 EDT 2023
% Result : Unsatisfiable 12.10s 12.26s
% Output : CNFRefutation 12.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 100
% Syntax : Number of formulae : 148 ( 26 unt; 80 typ; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 165 ( 84 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 118 ( 59 >; 59 *; 0 +; 0 <<)
% Number of predicates : 40 ( 39 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 21 con; 0-2 aty)
% Number of variables : 135 ( 1 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,
p54: ( $i * $i ) > $o ).
tff(decl_27,type,
p53: ( $i * $i ) > $o ).
tff(decl_28,type,
p51: ( $i * $i ) > $o ).
tff(decl_29,type,
p49: ( $i * $i ) > $o ).
tff(decl_30,type,
p48: ( $i * $i ) > $o ).
tff(decl_31,type,
p46: ( $i * $i ) > $o ).
tff(decl_32,type,
p44: ( $i * $i ) > $o ).
tff(decl_33,type,
p43: ( $i * $i ) > $o ).
tff(decl_34,type,
p42: ( $i * $i ) > $o ).
tff(decl_35,type,
p40: ( $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,
p36: ( $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,
p29: ( $i * $i ) > $o ).
tff(decl_45,type,
p27: ( $i * $i ) > $o ).
tff(decl_46,type,
p25: ( $i * $i ) > $o ).
tff(decl_47,type,
p24: ( $i * $i ) > $o ).
tff(decl_48,type,
p21: ( $i * $i ) > $o ).
tff(decl_49,type,
p20: ( $i * $i ) > $o ).
tff(decl_50,type,
p2: ( $i * $i ) > $o ).
tff(decl_51,type,
p18: ( $i * $i ) > $o ).
tff(decl_52,type,
p16: ( $i * $i ) > $o ).
tff(decl_53,type,
p15: ( $i * $i ) > $o ).
tff(decl_54,type,
p13: ( $i * $i ) > $o ).
tff(decl_55,type,
p12: ( $i * $i ) > $o ).
tff(decl_56,type,
c72: $i ).
tff(decl_57,type,
c77: $i ).
tff(decl_58,type,
f38: ( $i * $i ) > $i ).
tff(decl_59,type,
c73: $i ).
tff(decl_60,type,
c68: $i ).
tff(decl_61,type,
f35: ( $i * $i ) > $i ).
tff(decl_62,type,
p59: ( $i * $i ) > $o ).
tff(decl_63,type,
c61: $i ).
tff(decl_64,type,
c62: $i ).
tff(decl_65,type,
c63: $i ).
tff(decl_66,type,
f8: ( $i * $i ) > $i ).
tff(decl_67,type,
f5: ( $i * $i ) > $i ).
tff(decl_68,type,
c64: $i ).
tff(decl_69,type,
p56: ( $i * $i ) > $o ).
tff(decl_70,type,
c69: $i ).
tff(decl_71,type,
c67: $i ).
tff(decl_72,type,
f23: ( $i * $i ) > $i ).
tff(decl_73,type,
c70: $i ).
tff(decl_74,type,
f22: ( $i * $i ) > $i ).
tff(decl_75,type,
f19: ( $i * $i ) > $i ).
tff(decl_76,type,
c65: $i ).
tff(decl_77,type,
c66: $i ).
tff(decl_78,type,
f17: ( $i * $i ) > $i ).
tff(decl_79,type,
f14: ( $i * $i ) > $i ).
tff(decl_80,type,
f11: ( $i * $i ) > $i ).
tff(decl_81,type,
c71: $i ).
tff(decl_82,type,
c78: $i ).
tff(decl_83,type,
f41: ( $i * $i ) > $i ).
tff(decl_84,type,
f28: ( $i * $i ) > $i ).
tff(decl_85,type,
f26: ( $i * $i ) > $i ).
tff(decl_86,type,
p57: ( $i * $i ) > $o ).
tff(decl_87,type,
p60: ( $i * $i ) > $o ).
tff(decl_88,type,
p58: ( $i * $i ) > $o ).
tff(decl_89,type,
c75: $i ).
tff(decl_90,type,
c76: $i ).
tff(decl_91,type,
f33: ( $i * $i ) > $i ).
tff(decl_92,type,
f31: ( $i * $i ) > $i ).
tff(decl_93,type,
f55: ( $i * $i ) > $i ).
tff(decl_94,type,
f50: ( $i * $i ) > $i ).
tff(decl_95,type,
f45: ( $i * $i ) > $i ).
tff(decl_96,type,
f47: ( $i * $i ) > $i ).
tff(decl_97,type,
f52: ( $i * $i ) > $i ).
tff(decl_98,type,
c74: $i ).
tff(decl_99,type,
c79: $i ).
tff(decl_100,type,
c80: $i ).
tff(decl_101,type,
c81: $i ).
cnf(p13_72,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_72) ).
cnf(p13_33,negated_conjecture,
p13(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_33) ).
cnf(not_p58_80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p58_80) ).
cnf(p13_105,negated_conjecture,
( p13(X1,f23(c74,X2))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| ~ p59(f38(c72,X2),f35(c73,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_105) ).
cnf(p59_35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_35) ).
cnf(p13_98,negated_conjecture,
( p13(f23(X1,X2),f23(X3,X4))
| ~ p16(X2,X4)
| ~ p21(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_98) ).
cnf(p21_27,negated_conjecture,
p21(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
cnf(p10_40,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_40) ).
cnf(p10_81,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p13(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_81) ).
cnf(p12_34,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).
cnf(p56_76,negated_conjecture,
( p56(X1,X2)
| ~ p40(X3,X2)
| ~ p56(X4,X3)
| ~ p4(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_76) ).
cnf(p4_87,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_87) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(p16_31,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_31) ).
cnf(p56_38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_38) ).
cnf(p57_101,negated_conjecture,
( p57(f26(f41(c78,X1),X2),X3)
| ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_101) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
cnf(not_p57_39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_39) ).
cnf(p57_74,negated_conjecture,
( p57(f26(f28(c71,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_74) ).
cnf(p40_14,negated_conjecture,
p40(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_14) ).
cnf(c_0_20,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
p13_72 ).
cnf(c_0_21,negated_conjecture,
p13(X1,X1),
p13_33 ).
cnf(c_0_22,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
not_p58_80 ).
cnf(c_0_23,negated_conjecture,
( p13(X1,f23(c74,X2))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| ~ p59(f38(c72,X2),f35(c73,X1)) ),
p13_105 ).
cnf(c_0_24,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
p59_35 ).
cnf(c_0_25,negated_conjecture,
( p13(X1,X2)
| ~ p13(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
p13(c68,f23(c74,c77)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
p13(f23(c74,c77),c68),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( p13(X1,c68)
| ~ p13(f23(c74,c77),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( p13(f23(X1,X2),f23(X3,X4))
| ~ p16(X2,X4)
| ~ p21(X1,X3) ),
p13_98 ).
cnf(c_0_30,negated_conjecture,
( p13(f23(X1,X2),c68)
| ~ p16(c77,X2)
| ~ p21(c74,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
p21(X1,X1),
p21_27 ).
cnf(c_0_32,negated_conjecture,
( p13(f23(c74,X1),c68)
| ~ p16(c77,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( p13(c68,f23(c74,X1))
| ~ p16(c77,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_40 ).
cnf(c_0_35,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p13(X2,X4) ),
p10_81 ).
cnf(c_0_36,negated_conjecture,
( p13(X1,f23(c74,X2))
| ~ p13(c68,X1)
| ~ p16(c77,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( p10(X1,f14(X2,X3))
| ~ p12(X4,X2)
| ~ p13(X5,X3)
| ~ p10(f14(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( p13(X1,f23(c74,X2))
| ~ p13(c68,X3)
| ~ p13(X3,X1)
| ~ p16(c77,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( p13(X1,f23(c74,c77))
| ~ p13(c68,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X5,X3)
| ~ p12(X5,X1)
| ~ p13(X6,X4)
| ~ p13(X6,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
p12(X1,X1),
p12_34 ).
cnf(c_0_42,negated_conjecture,
( p13(X1,f23(c74,X2))
| ~ p13(f23(c74,c77),X1)
| ~ p16(c77,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]) ).
cnf(c_0_43,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X3,X1)
| ~ p13(X5,X4)
| ~ p13(X5,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( p13(f23(c74,c77),f23(c74,X1))
| ~ p16(c77,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_26])]) ).
cnf(c_0_45,negated_conjecture,
( p10(f14(X1,X2),f14(X3,c68))
| ~ p12(X3,X1)
| ~ p13(f23(c74,X4),X2)
| ~ p16(c77,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( p13(f23(c74,X1),f23(c74,c77))
| ~ p16(c77,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( p56(X1,X2)
| ~ p40(X3,X2)
| ~ p56(X4,X3)
| ~ p4(X4,X1) ),
p56_76 ).
cnf(c_0_48,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
p4_87 ).
cnf(c_0_49,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_50,negated_conjecture,
( p10(f14(X1,f23(c74,c77)),f14(X2,c68))
| ~ p12(X2,X1)
| ~ p16(c77,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
p16(X1,X1),
p16_31 ).
cnf(c_0_52,negated_conjecture,
( p56(f11(X1,X2),X3)
| ~ p56(f11(X4,X5),X6)
| ~ p40(X6,X3)
| ~ p9(X4,X1)
| ~ p10(X5,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
p56_38 ).
cnf(c_0_54,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( p10(f14(X1,f23(c74,c77)),f14(X2,c68))
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( p56(f11(X1,X2),X3)
| ~ p40(c64,X3)
| ~ p9(c65,X1)
| ~ p10(f14(f17(c66,c67),c68),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( p10(f14(X1,c68),f14(X2,f23(c74,c77)))
| ~ p12(X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( p57(f26(f41(c78,X1),X2),X3)
| ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1) ),
p57_101 ).
cnf(c_0_59,negated_conjecture,
( p56(f11(X1,f14(X2,f23(c74,c77))),X3)
| ~ p12(f17(c66,c67),X2)
| ~ p40(c64,X3)
| ~ p9(c65,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_61,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
not_p57_39 ).
cnf(c_0_62,negated_conjecture,
( p57(f26(f28(c71,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
p57_74 ).
cnf(c_0_63,negated_conjecture,
( p57(f26(f41(c78,X1),X2),c77)
| ~ p12(f17(c66,c67),f17(c66,X2))
| ~ p40(c64,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_64,negated_conjecture,
~ p57(f26(f41(c78,c64),c67),c77),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( p57(f26(f41(c78,X1),c67),c77)
| ~ p40(c64,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_41]) ).
cnf(c_0_66,negated_conjecture,
p40(X1,X1),
p40_14 ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN713-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 19:57:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 12.10/12.26 % Version : CSE_E---1.5
% 12.10/12.26 % Problem : theBenchmark.p
% 12.10/12.26 % Proof found
% 12.10/12.26 % SZS status Theorem for theBenchmark.p
% 12.10/12.26 % SZS output start Proof
% See solution above
% 12.10/12.27 % Total time : 11.652000 s
% 12.10/12.27 % SZS output end Proof
% 12.10/12.27 % Total time : 11.656000 s
%------------------------------------------------------------------------------