TSTP Solution File: SYN719-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN719-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : Tue Aug 22 11:11:43 EDT 2023
% Result : Unsatisfiable 15.88s 5.89s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 102
% Syntax : Number of formulae : 118 ( 14 unt; 93 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 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 : 38 (; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p73 > p72 > p71 > p70 > p7 > p69 > p68 > p67 > p66 > p65 > p63 > p61 > p6 > p59 > p57 > p56 > p55 > p53 > p52 > p50 > p48 > p47 > p45 > p43 > p41 > p4 > p39 > p37 > p35 > p34 > p33 > p31 > p3 > p29 > p28 > p27 > p25 > p24 > p22 > p20 > p2 > p18 > p17 > p15 > p14 > p13 > p11 > p10 > f8 > f64 > f62 > f60 > f58 > f54 > f51 > f5 > f49 > f46 > f44 > f42 > f40 > f38 > f36 > f32 > f30 > f26 > f23 > f21 > f19 > f16 > f12 > #nlpp > c94 > c93 > c92 > c91 > c90 > c89 > c88 > c87 > c86 > c85 > c84 > c83 > c82 > c81 > c80 > c79 > c78 > c77 > c76 > c75 > c74
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p61,type,
p61: ( $i * $i ) > $o ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(f60,type,
f60: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f32,type,
f32: ( $i * $i ) > $i ).
tff(c80,type,
c80: $i ).
tff(p43,type,
p43: ( $i * $i ) > $o ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(f36,type,
f36: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(c82,type,
c82: $i ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(p57,type,
p57: ( $i * $i ) > $o ).
tff(c76,type,
c76: $i ).
tff(p47,type,
p47: ( $i * $i ) > $o ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p70,type,
p70: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(p48,type,
p48: ( $i * $i ) > $o ).
tff(f44,type,
f44: ( $i * $i ) > $i ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(f58,type,
f58: ( $i * $i ) > $i ).
tff(c89,type,
c89: $i ).
tff(c87,type,
c87: $i ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(c78,type,
c78: $i ).
tff(p53,type,
p53: ( $i * $i ) > $o ).
tff(c94,type,
c94: $i ).
tff(p50,type,
p50: ( $i * $i ) > $o ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(c83,type,
c83: $i ).
tff(p63,type,
p63: ( $i * $i ) > $o ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(c88,type,
c88: $i ).
tff(p56,type,
p56: ( $i * $i ) > $o ).
tff(p68,type,
p68: ( $i * $i ) > $o ).
tff(c92,type,
c92: $i ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(p66,type,
p66: ( $i * $i ) > $o ).
tff(f51,type,
f51: ( $i * $i ) > $i ).
tff(p52,type,
p52: ( $i * $i ) > $o ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p45,type,
p45: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f46,type,
f46: ( $i * $i ) > $i ).
tff(f42,type,
f42: ( $i * $i ) > $i ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f64,type,
f64: ( $i * $i ) > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(c85,type,
c85: $i ).
tff(p72,type,
p72: ( $i * $i ) > $o ).
tff(f54,type,
f54: ( $i * $i ) > $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(f62,type,
f62: ( $i * $i ) > $i ).
tff(c75,type,
c75: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(c86,type,
c86: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(c81,type,
c81: $i ).
tff(f40,type,
f40: ( $i * $i ) > $i ).
tff(c77,type,
c77: $i ).
tff(c74,type,
c74: $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(p73,type,
p73: ( $i * $i ) > $o ).
tff(p71,type,
p71: ( $i * $i ) > $o ).
tff(p67,type,
p67: ( $i * $i ) > $o ).
tff(c84,type,
c84: $i ).
tff(p28,type,
p28: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(c93,type,
c93: $i ).
tff(c79,type,
c79: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(f49,type,
f49: ( $i * $i ) > $i ).
tff(c90,type,
c90: $i ).
tff(p65,type,
p65: ( $i * $i ) > $o ).
tff(p69,type,
p69: ( $i * $i ) > $o ).
tff(p34,type,
p34: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(p55,type,
p55: ( $i * $i ) > $o ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(p59,type,
p59: ( $i * $i ) > $o ).
tff(c91,type,
c91: $i ).
tff(f_103,axiom,
p67(f16(c80,c81),c82),
file(unknown,unknown) ).
tff(f_102,axiom,
p66(f12(c78,c77),c79),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X20] : p14(f23(f26(c84,c85),X20),X20),
file(unknown,unknown) ).
tff(f_97,axiom,
! [X13] : p14(X13,X13),
file(unknown,unknown) ).
tff(f_444,axiom,
! [X14,X15,X13] :
( p14(X14,X15)
| ~ p14(X13,X14)
| ~ p14(X13,X15) ),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X242,X243] : p70(f30(c88,X242),f38(c85,X243)),
file(unknown,unknown) ).
tff(f_140,axiom,
! [X229,X230] :
( p69(f36(c86,X229),X230)
| ~ p70(X230,X229) ),
file(unknown,unknown) ).
tff(f_765,axiom,
! [X221,X222,X224,X223] :
( p68(f19(f21(c83,c77),X221),X222)
| ~ p67(f16(c80,X224),c82)
| ~ p66(f12(c78,c77),X221)
| ~ p14(X222,f23(f26(c84,X223),X224))
| ~ p69(f36(c86,f38(X223,f40(f42(f44(f46(c87,X221),X222),X223),X224))),f30(c88,f32(c89,f8(c75,c76)))) ),
file(unknown,unknown) ).
tff(f_110,axiom,
~ p68(f19(f21(c83,c77),c79),c81),
file(unknown,unknown) ).
tff(c_84,plain,
p67(f16(c80,c81),c82),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_82,plain,
p66(f12(c78,c77),c79),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_90,plain,
! [X20_43] : p14(f23(f26(c84,c85),X20_43),X20_43),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_76,plain,
! [X13_38] : p14(X13_38,X13_38),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_398,plain,
! [X13_411,X15_412,X14_413] :
( ~ p14(X13_411,X15_412)
| ~ p14(X13_411,X14_413)
| p14(X14_413,X15_412) ),
inference(cnfTransformation,[status(thm)],[f_444]) ).
tff(c_405,plain,
! [X13_414,X14_415] :
( ~ p14(X13_414,X14_415)
| p14(X14_415,X13_414) ),
inference(resolution,[status(thm)],[c_76,c_398]) ).
tff(c_410,plain,
! [X20_43] : p14(X20_43,f23(f26(c84,c85),X20_43)),
inference(resolution,[status(thm)],[c_90,c_405]) ).
tff(c_86,plain,
! [X242_41,X243_42] : p70(f30(c88,X242_41),f38(c85,X243_42)),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_104,plain,
! [X230_55,X229_54] :
( ~ p70(X230_55,X229_54)
| p69(f36(c86,X229_54),X230_55) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_1150,plain,
! [X223_775,X221_776,X222_777,X224_778] :
( ~ p69(f36(c86,f38(X223_775,f40(f42(f44(f46(c87,X221_776),X222_777),X223_775),X224_778))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X222_777,f23(f26(c84,X223_775),X224_778))
| ~ p66(f12(c78,c77),X221_776)
| ~ p67(f16(c80,X224_778),c82)
| p68(f19(f21(c83,c77),X221_776),X222_777) ),
inference(cnfTransformation,[status(thm)],[f_765]) ).
tff(c_6634,plain,
! [X222_1411,X223_1412,X224_1413,X221_1414] :
( ~ p14(X222_1411,f23(f26(c84,X223_1412),X224_1413))
| ~ p66(f12(c78,c77),X221_1414)
| ~ p67(f16(c80,X224_1413),c82)
| p68(f19(f21(c83,c77),X221_1414),X222_1411)
| ~ p70(f30(c88,f32(c89,f8(c75,c76))),f38(X223_1412,f40(f42(f44(f46(c87,X221_1414),X222_1411),X223_1412),X224_1413))) ),
inference(resolution,[status(thm)],[c_104,c_1150]) ).
tff(c_16430,plain,
! [X222_2045,X224_2046,X221_2047] :
( ~ p14(X222_2045,f23(f26(c84,c85),X224_2046))
| ~ p66(f12(c78,c77),X221_2047)
| ~ p67(f16(c80,X224_2046),c82)
| p68(f19(f21(c83,c77),X221_2047),X222_2045) ),
inference(resolution,[status(thm)],[c_86,c_6634]) ).
tff(c_19260,plain,
! [X221_2128,X20_2129] :
( ~ p66(f12(c78,c77),X221_2128)
| ~ p67(f16(c80,X20_2129),c82)
| p68(f19(f21(c83,c77),X221_2128),X20_2129) ),
inference(resolution,[status(thm)],[c_410,c_16430]) ).
tff(c_92,plain,
~ p68(f19(f21(c83,c77),c79),c81),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_19308,plain,
( ~ p66(f12(c78,c77),c79)
| ~ p67(f16(c80,c81),c82) ),
inference(resolution,[status(thm)],[c_19260,c_92]) ).
tff(c_19328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_19308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN719-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:28:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 15.88/5.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.88/5.89
% 15.88/5.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.98/5.92
% 15.98/5.92 Inference rules
% 15.98/5.92 ----------------------
% 15.98/5.92 #Ref : 0
% 15.98/5.92 #Sup : 4892
% 15.98/5.92 #Fact : 0
% 15.98/5.92 #Define : 0
% 15.98/5.92 #Split : 0
% 15.98/5.92 #Chain : 0
% 15.98/5.92 #Close : 0
% 15.98/5.92
% 15.98/5.92 Ordering : KBO
% 15.98/5.92
% 15.98/5.92 Simplification rules
% 15.98/5.92 ----------------------
% 15.98/5.92 #Subsume : 1239
% 15.98/5.92 #Demod : 959
% 15.98/5.92 #Tautology : 280
% 15.98/5.92 #SimpNegUnit : 0
% 15.98/5.92 #BackRed : 0
% 15.98/5.92
% 15.98/5.92 #Partial instantiations: 0
% 15.98/5.92 #Strategies tried : 1
% 15.98/5.92
% 15.98/5.92 Timing (in seconds)
% 15.98/5.92 ----------------------
% 15.98/5.92 Preprocessing : 0.68
% 15.98/5.92 Parsing : 0.38
% 15.98/5.92 CNF conversion : 0.05
% 15.98/5.92 Main loop : 4.17
% 15.98/5.92 Inferencing : 0.93
% 15.98/5.92 Reduction : 1.05
% 15.98/5.92 Demodulation : 0.75
% 15.98/5.92 BG Simplification : 0.08
% 15.98/5.92 Subsumption : 1.85
% 15.98/5.93 Abstraction : 0.08
% 15.98/5.93 MUC search : 0.00
% 15.98/5.93 Cooper : 0.00
% 15.98/5.93 Total : 4.90
% 15.98/5.93 Index Insertion : 0.00
% 15.98/5.93 Index Deletion : 0.00
% 15.98/5.93 Index Matching : 0.00
% 15.98/5.93 BG Taut test : 0.00
%------------------------------------------------------------------------------