TSTP Solution File: SYN712-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN712-1 : 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 : n028.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 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 85
% Syntax : Number of formulae : 102 ( 13 unt; 75 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 124 ( 62 >; 62 *; 0 +; 0 <<)
% Number of predicates : 36 ( 35 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 69 ( 16 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,
p60: ( $i * $i ) > $o ).
tff(decl_26,type,
p6: ( $i * $i ) > $o ).
tff(decl_27,type,
p58: ( $i * $i ) > $o ).
tff(decl_28,type,
p56: ( $i * $i ) > $o ).
tff(decl_29,type,
p54: ( $i * $i ) > $o ).
tff(decl_30,type,
p52: ( $i * $i ) > $o ).
tff(decl_31,type,
p50: ( $i * $i ) > $o ).
tff(decl_32,type,
p48: ( $i * $i ) > $o ).
tff(decl_33,type,
p46: ( $i * $i ) > $o ).
tff(decl_34,type,
p44: ( $i * $i ) > $o ).
tff(decl_35,type,
p42: ( $i * $i ) > $o ).
tff(decl_36,type,
p40: ( $i * $i ) > $o ).
tff(decl_37,type,
p4: ( $i * $i ) > $o ).
tff(decl_38,type,
p38: ( $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,
p26: ( $i * $i ) > $o ).
tff(decl_46,type,
p24: ( $i * $i ) > $o ).
tff(decl_47,type,
p22: ( $i * $i ) > $o ).
tff(decl_48,type,
p20: ( $i * $i ) > $o ).
tff(decl_49,type,
p2: ( $i * $i ) > $o ).
tff(decl_50,type,
p18: ( $i * $i ) > $o ).
tff(decl_51,type,
p17: ( $i * $i ) > $o ).
tff(decl_52,type,
p15: ( $i * $i ) > $o ).
tff(decl_53,type,
p14: ( $i * $i ) > $o ).
tff(decl_54,type,
p12: ( $i * $i ) > $o ).
tff(decl_55,type,
c64: $i ).
tff(decl_56,type,
c65: $i ).
tff(decl_57,type,
c66: $i ).
tff(decl_58,type,
f13: ( $i * $i ) > $i ).
tff(decl_59,type,
c67: $i ).
tff(decl_60,type,
f11: ( $i * $i ) > $i ).
tff(decl_61,type,
c68: $i ).
tff(decl_62,type,
f8: ( $i * $i ) > $i ).
tff(decl_63,type,
f5: ( $i * $i ) > $i ).
tff(decl_64,type,
c69: $i ).
tff(decl_65,type,
p62: ( $i * $i ) > $o ).
tff(decl_66,type,
p63: ( $i * $i ) > $o ).
tff(decl_67,type,
f43: ( $i * $i ) > $i ).
tff(decl_68,type,
f53: ( $i * $i ) > $i ).
tff(decl_69,type,
f61: ( $i * $i ) > $i ).
tff(decl_70,type,
f59: ( $i * $i ) > $i ).
tff(decl_71,type,
f57: ( $i * $i ) > $i ).
tff(decl_72,type,
f55: ( $i * $i ) > $i ).
tff(decl_73,type,
f51: ( $i * $i ) > $i ).
tff(decl_74,type,
f49: ( $i * $i ) > $i ).
tff(decl_75,type,
f47: ( $i * $i ) > $i ).
tff(decl_76,type,
f45: ( $i * $i ) > $i ).
tff(decl_77,type,
f23: ( $i * $i ) > $i ).
tff(decl_78,type,
f41: ( $i * $i ) > $i ).
tff(decl_79,type,
f36: ( $i * $i ) > $i ).
tff(decl_80,type,
f39: ( $i * $i ) > $i ).
tff(decl_81,type,
f16: ( $i * $i ) > $i ).
tff(decl_82,type,
f31: ( $i * $i ) > $i ).
tff(decl_83,type,
f29: ( $i * $i ) > $i ).
tff(decl_84,type,
f27: ( $i * $i ) > $i ).
tff(decl_85,type,
f25: ( $i * $i ) > $i ).
tff(decl_86,type,
f37: ( $i * $i ) > $i ).
tff(decl_87,type,
f21: ( $i * $i ) > $i ).
tff(decl_88,type,
f33: ( $i * $i ) > $i ).
tff(decl_89,type,
f19: ( $i * $i ) > $i ).
tff(decl_90,type,
c74: $i ).
tff(decl_91,type,
c70: $i ).
tff(decl_92,type,
c71: $i ).
tff(decl_93,type,
c72: $i ).
tff(decl_94,type,
c73: $i ).
tff(decl_95,type,
c76: $i ).
tff(decl_96,type,
c75: $i ).
cnf(p62_69,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p32(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_69) ).
cnf(p32_20,negated_conjecture,
p32(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
cnf(p4_82,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_82) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
cnf(p3_104,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_104) ).
cnf(p62_97,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
cnf(p2_28,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(not_p62_67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_67) ).
cnf(p62_98,negated_conjecture,
( p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4)
| ~ p62(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_98) ).
cnf(p62_99,negated_conjecture,
( p62(X1,X2)
| ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
cnf(c_0_10,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p32(X4,X2) ),
p62_69 ).
cnf(c_0_11,negated_conjecture,
p32(X1,X1),
p32_20 ).
cnf(c_0_12,negated_conjecture,
( p62(X1,X2)
| ~ p62(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_82 ).
cnf(c_0_14,negated_conjecture,
( p62(f5(X1,X2),X3)
| ~ p62(f5(X4,X5),X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
p62_100 ).
cnf(c_0_16,negated_conjecture,
( p62(f5(X1,X2),c69)
| ~ p2(c64,X1)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
p3_104 ).
cnf(c_0_18,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2) ),
p62_97 ).
cnf(c_0_19,negated_conjecture,
( p62(f5(X1,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69)
| ~ p2(c64,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p2(X1,X1),
p2_28 ).
cnf(c_0_21,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
not_p62_67 ).
cnf(c_0_22,negated_conjecture,
( p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4)
| ~ p62(X1,X4) ),
p62_98 ).
cnf(c_0_23,negated_conjecture,
( p62(X1,X2)
| ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
p62_99 ).
cnf(c_0_24,negated_conjecture,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
~ p62(c66,c69),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n028.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 21:21:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.022000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.027000 s
%------------------------------------------------------------------------------