TSTP Solution File: SYN719-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN719-1 : 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 : n004.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 1.60s 1.69s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 111
% Syntax : Number of formulae : 158 ( 23 unt; 93 typ; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 184 ( 93 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 72 >; 72 *; 0 +; 0 <<)
% Number of predicates : 50 ( 49 usr; 1 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 21 con; 0-2 aty)
% Number of variables : 143 ( 4 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,
p63: ( $i * $i ) > $o ).
tff(decl_26,type,
p61: ( $i * $i ) > $o ).
tff(decl_27,type,
p6: ( $i * $i ) > $o ).
tff(decl_28,type,
p59: ( $i * $i ) > $o ).
tff(decl_29,type,
p57: ( $i * $i ) > $o ).
tff(decl_30,type,
p56: ( $i * $i ) > $o ).
tff(decl_31,type,
p55: ( $i * $i ) > $o ).
tff(decl_32,type,
p53: ( $i * $i ) > $o ).
tff(decl_33,type,
p52: ( $i * $i ) > $o ).
tff(decl_34,type,
p50: ( $i * $i ) > $o ).
tff(decl_35,type,
p48: ( $i * $i ) > $o ).
tff(decl_36,type,
p47: ( $i * $i ) > $o ).
tff(decl_37,type,
p45: ( $i * $i ) > $o ).
tff(decl_38,type,
p43: ( $i * $i ) > $o ).
tff(decl_39,type,
p41: ( $i * $i ) > $o ).
tff(decl_40,type,
p4: ( $i * $i ) > $o ).
tff(decl_41,type,
p39: ( $i * $i ) > $o ).
tff(decl_42,type,
p37: ( $i * $i ) > $o ).
tff(decl_43,type,
p35: ( $i * $i ) > $o ).
tff(decl_44,type,
p34: ( $i * $i ) > $o ).
tff(decl_45,type,
p33: ( $i * $i ) > $o ).
tff(decl_46,type,
p31: ( $i * $i ) > $o ).
tff(decl_47,type,
p3: ( $i * $i ) > $o ).
tff(decl_48,type,
p29: ( $i * $i ) > $o ).
tff(decl_49,type,
p28: ( $i * $i ) > $o ).
tff(decl_50,type,
p27: ( $i * $i ) > $o ).
tff(decl_51,type,
p25: ( $i * $i ) > $o ).
tff(decl_52,type,
p24: ( $i * $i ) > $o ).
tff(decl_53,type,
p22: ( $i * $i ) > $o ).
tff(decl_54,type,
p20: ( $i * $i ) > $o ).
tff(decl_55,type,
p2: ( $i * $i ) > $o ).
tff(decl_56,type,
p18: ( $i * $i ) > $o ).
tff(decl_57,type,
p17: ( $i * $i ) > $o ).
tff(decl_58,type,
p15: ( $i * $i ) > $o ).
tff(decl_59,type,
p14: ( $i * $i ) > $o ).
tff(decl_60,type,
p13: ( $i * $i ) > $o ).
tff(decl_61,type,
p11: ( $i * $i ) > $o ).
tff(decl_62,type,
c78: $i ).
tff(decl_63,type,
c77: $i ).
tff(decl_64,type,
f12: ( $i * $i ) > $i ).
tff(decl_65,type,
c79: $i ).
tff(decl_66,type,
p66: ( $i * $i ) > $o ).
tff(decl_67,type,
c80: $i ).
tff(decl_68,type,
c81: $i ).
tff(decl_69,type,
f16: ( $i * $i ) > $i ).
tff(decl_70,type,
c82: $i ).
tff(decl_71,type,
p67: ( $i * $i ) > $o ).
tff(decl_72,type,
c88: $i ).
tff(decl_73,type,
f30: ( $i * $i ) > $i ).
tff(decl_74,type,
c85: $i ).
tff(decl_75,type,
f38: ( $i * $i ) > $i ).
tff(decl_76,type,
p70: ( $i * $i ) > $o ).
tff(decl_77,type,
c74: $i ).
tff(decl_78,type,
c75: $i ).
tff(decl_79,type,
c76: $i ).
tff(decl_80,type,
f8: ( $i * $i ) > $i ).
tff(decl_81,type,
f5: ( $i * $i ) > $i ).
tff(decl_82,type,
p65: ( $i * $i ) > $o ).
tff(decl_83,type,
c84: $i ).
tff(decl_84,type,
f26: ( $i * $i ) > $i ).
tff(decl_85,type,
f23: ( $i * $i ) > $i ).
tff(decl_86,type,
c83: $i ).
tff(decl_87,type,
f21: ( $i * $i ) > $i ).
tff(decl_88,type,
f19: ( $i * $i ) > $i ).
tff(decl_89,type,
p68: ( $i * $i ) > $o ).
tff(decl_90,type,
p73: ( $i * $i ) > $o ).
tff(decl_91,type,
c90: $i ).
tff(decl_92,type,
f58: ( $i * $i ) > $i ).
tff(decl_93,type,
p72: ( $i * $i ) > $o ).
tff(decl_94,type,
c86: $i ).
tff(decl_95,type,
f36: ( $i * $i ) > $i ).
tff(decl_96,type,
p69: ( $i * $i ) > $o ).
tff(decl_97,type,
p71: ( $i * $i ) > $o ).
tff(decl_98,type,
f64: ( $i * $i ) > $i ).
tff(decl_99,type,
f60: ( $i * $i ) > $i ).
tff(decl_100,type,
f54: ( $i * $i ) > $i ).
tff(decl_101,type,
f51: ( $i * $i ) > $i ).
tff(decl_102,type,
f46: ( $i * $i ) > $i ).
tff(decl_103,type,
f44: ( $i * $i ) > $i ).
tff(decl_104,type,
f42: ( $i * $i ) > $i ).
tff(decl_105,type,
f62: ( $i * $i ) > $i ).
tff(decl_106,type,
f40: ( $i * $i ) > $i ).
tff(decl_107,type,
f49: ( $i * $i ) > $i ).
tff(decl_108,type,
f32: ( $i * $i ) > $i ).
tff(decl_109,type,
c94: $i ).
tff(decl_110,type,
c93: $i ).
tff(decl_111,type,
c91: $i ).
tff(decl_112,type,
c92: $i ).
tff(decl_113,type,
c87: $i ).
tff(decl_114,type,
c89: $i ).
cnf(p14_90,negated_conjecture,
( p14(X1,X2)
| ~ p14(X3,X1)
| ~ p14(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_90) ).
cnf(p14_38,negated_conjecture,
p14(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_38) ).
cnf(p14_45,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
cnf(p67_96,negated_conjecture,
( p67(X1,X2)
| ~ p67(X3,X4)
| ~ p7(X4,X2)
| ~ p15(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_96) ).
cnf(p15_123,negated_conjecture,
( p15(f16(X1,X2),f16(X3,X4))
| ~ p13(X1,X3)
| ~ p14(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_123) ).
cnf(p67_42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_42) ).
cnf(p14_124,negated_conjecture,
( p14(f23(X1,X2),f23(X3,X4))
| ~ p14(X2,X4)
| ~ p22(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_124) ).
cnf(p68_97,negated_conjecture,
( p68(X1,X2)
| ~ p68(X3,X4)
| ~ p7(X3,X1)
| ~ p14(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_97) ).
cnf(p68_48,negated_conjecture,
( p68(X1,X2)
| ~ p67(f16(c80,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_48) ).
cnf(p13_39,negated_conjecture,
p13(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_39) ).
cnf(p67_50,negated_conjecture,
( p67(f16(c80,X1),X2)
| ~ p68(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_50) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p22_32,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_32) ).
cnf(p68_126,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_126) ).
cnf(p69_52,negated_conjecture,
( p69(f36(c86,X1),X2)
| ~ p70(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_52) ).
cnf(p70_43,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_43) ).
cnf(not_p68_46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p68_46) ).
cnf(p66_41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p66_41) ).
cnf(c_0_18,negated_conjecture,
( p14(X1,X2)
| ~ p14(X3,X1)
| ~ p14(X3,X2) ),
p14_90 ).
cnf(c_0_19,negated_conjecture,
p14(X1,X1),
p14_38 ).
cnf(c_0_20,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
p14_45 ).
cnf(c_0_21,negated_conjecture,
( p14(X1,X2)
| ~ p14(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( p14(X1,X2)
| ~ p14(f23(f26(c84,c85),X2),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p14(X1,f23(f26(c84,c85),X1)),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p14(f23(f26(c84,c85),f23(f26(c84,c85),X1)),X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
p14(X1,f23(f26(c84,c85),f23(f26(c84,c85),X1))),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( p67(X1,X2)
| ~ p67(X3,X4)
| ~ p7(X4,X2)
| ~ p15(X3,X1) ),
p67_96 ).
cnf(c_0_27,negated_conjecture,
( p15(f16(X1,X2),f16(X3,X4))
| ~ p13(X1,X3)
| ~ p14(X2,X4) ),
p15_123 ).
cnf(c_0_28,negated_conjecture,
p14(f23(f26(c84,c85),f23(f26(c84,c85),f23(f26(c84,c85),X1))),X1),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( p67(f16(X1,X2),X3)
| ~ p67(f16(X4,X5),X6)
| ~ p13(X4,X1)
| ~ p14(X5,X2)
| ~ p7(X6,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p67(f16(c80,c81),c82),
p67_42 ).
cnf(c_0_31,negated_conjecture,
( p14(X1,X2)
| ~ p14(f23(f26(c84,c85),f23(f26(c84,c85),f23(f26(c84,c85),X2))),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( p14(f23(X1,X2),f23(X3,X4))
| ~ p14(X2,X4)
| ~ p22(X1,X3) ),
p14_124 ).
cnf(c_0_33,negated_conjecture,
( p68(X1,X2)
| ~ p68(X3,X4)
| ~ p7(X3,X1)
| ~ p14(X4,X2) ),
p68_97 ).
cnf(c_0_34,negated_conjecture,
( p68(X1,X2)
| ~ p67(f16(c80,X2),X1) ),
p68_48 ).
cnf(c_0_35,negated_conjecture,
( p67(f16(X1,X2),X3)
| ~ p13(c80,X1)
| ~ p14(c81,X2)
| ~ p7(c82,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
p13(X1,X1),
p13_39 ).
cnf(c_0_37,negated_conjecture,
( p14(f23(X1,X2),X3)
| ~ p14(f23(f26(c84,c85),f23(f26(c84,c85),X3)),X2)
| ~ p22(f26(c84,c85),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( p67(f16(c80,X1),X2)
| ~ p68(X2,X1) ),
p67_50 ).
cnf(c_0_39,negated_conjecture,
( p68(X1,f23(f26(c84,c85),f23(f26(c84,c85),X2)))
| ~ p68(X3,X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_41,negated_conjecture,
( p68(X1,X2)
| ~ p68(X3,f23(f26(c84,c85),X2))
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( p68(X1,X2)
| ~ p14(c81,X2)
| ~ p7(c82,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_43,negated_conjecture,
( p14(f23(X1,f23(f26(c84,c85),X2)),X2)
| ~ p22(f26(c84,c85),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_44,negated_conjecture,
( p67(f16(X1,X2),X3)
| ~ p68(X4,X5)
| ~ p13(c80,X1)
| ~ p14(X5,X2)
| ~ p7(X4,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( p68(X1,f23(f26(c84,c85),f23(f26(c84,c85),X2)))
| ~ p68(X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( p68(X1,X2)
| ~ p14(c81,f23(f26(c84,c85),X2))
| ~ p7(c82,X3)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( p14(X1,f23(X2,f23(f26(c84,c85),X1)))
| ~ p22(f26(c84,c85),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
p22(X1,X1),
p22_32 ).
cnf(c_0_49,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76)))) ),
p68_126 ).
cnf(c_0_50,negated_conjecture,
( p69(f36(c86,X1),X2)
| ~ p70(X2,X1) ),
p69_52 ).
cnf(c_0_51,negated_conjecture,
( p67(f16(X1,X2),X3)
| ~ p68(X4,X5)
| ~ p13(c80,X1)
| ~ p14(f23(f26(c84,c85),f23(f26(c84,c85),X5)),X2)
| ~ p7(X4,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( p68(X1,f23(f26(c84,c85),c81))
| ~ p7(c82,X2)
| ~ p7(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_53,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p70(f30(c88,f32(c89,f8(c75,c76))),f38(X3,f40(f42(f44(f46(c87,X1),X2),X3),X4)))
| ~ p67(f16(c80,X4),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X3),X4)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
p70_43 ).
cnf(c_0_55,negated_conjecture,
( p67(f16(X1,X2),X3)
| ~ p68(X4,X2)
| ~ p13(c80,X1)
| ~ p7(X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_48])]) ).
cnf(c_0_56,negated_conjecture,
( p68(X1,f23(f26(c84,c85),c81))
| ~ p7(c82,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_57,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,c85),X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( p67(f16(X1,f23(f26(c84,c85),c81)),X2)
| ~ p13(c80,X1)
| ~ p7(c82,X3)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,f23(f26(c84,c85),X2)),c82)
| ~ p66(f12(c78,c77),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_48])]) ).
cnf(c_0_60,negated_conjecture,
( p67(f16(X1,f23(f26(c84,c85),c81)),X2)
| ~ p13(c80,X1)
| ~ p7(c82,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_40]) ).
cnf(c_0_61,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
not_p68_46 ).
cnf(c_0_62,negated_conjecture,
( p68(f19(f21(c83,c77),X1),c81)
| ~ p66(f12(c78,c77),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_36]),c_0_40])]) ).
cnf(c_0_63,negated_conjecture,
p66(f12(c78,c77),c79),
p66_41 ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN719-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.33 % Computer : n004.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Sat Aug 26 17:56:23 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 1.60/1.69 % Version : CSE_E---1.5
% 1.60/1.69 % Problem : theBenchmark.p
% 1.60/1.69 % Proof found
% 1.60/1.69 % SZS status Theorem for theBenchmark.p
% 1.60/1.69 % SZS output start Proof
% See solution above
% 1.60/1.70 % Total time : 1.116000 s
% 1.60/1.70 % SZS output end Proof
% 1.60/1.70 % Total time : 1.119000 s
%------------------------------------------------------------------------------