TSTP Solution File: SYN707-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN707-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 11:11:40 EDT 2023
% Result : Unsatisfiable 96.73s 64.12s
% Output : CNFRefutation 96.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 73
% Syntax : Number of formulae : 112 ( 22 unt; 58 typ; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 137 ( 71 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 41 >; 22 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 17 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p42 > p41 > p39 > p37 > p36 > p35 > p33 > p32 > p3 > p2 > p16 > p12 > p10 > p40 > p38 > p34 > f8 > f30 > f29 > f25 > f21 > f20 > f14 > f13 > #nlpp > f7 > f6 > f5 > f4 > f31 > f28 > f27 > f26 > f24 > f23 > f22 > f19 > f18 > f17 > f15 > f11 > c59 > c58 > c57 > c56 > c55 > c54 > c53 > c52 > c51 > c50 > c49 > c48 > c47 > c46 > c45 > c44 > c43
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p32,type,
p32: ( $i * $i ) > $o ).
tff(c57,type,
c57: $i ).
tff(c47,type,
c47: $i ).
tff(f18,type,
f18: $i > $i ).
tff(c55,type,
c55: $i ).
tff(c45,type,
c45: $i ).
tff(c58,type,
c58: $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f7,type,
f7: $i > $i ).
tff(f23,type,
f23: $i > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c52,type,
c52: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(c48,type,
c48: $i ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(f22,type,
f22: $i > $i ).
tff(p42,type,
p42: ( $i * $i ) > $o ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(c53,type,
c53: $i ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f24,type,
f24: $i > $i ).
tff(f26,type,
f26: $i > $i ).
tff(f31,type,
f31: $i > $i ).
tff(p40,type,
p40: $i > $o ).
tff(c44,type,
c44: $i ).
tff(p34,type,
p34: $i > $o ).
tff(p38,type,
p38: $i > $o ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c54,type,
c54: $i ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(c46,type,
c46: $i ).
tff(f28,type,
f28: $i > $i ).
tff(c50,type,
c50: $i ).
tff(c43,type,
c43: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p36,type,
p36: ( $i * $i ) > $o ).
tff(c51,type,
c51: $i ).
tff(f29,type,
f29: ( $i * $i ) > $i ).
tff(f27,type,
f27: $i > $i ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(f19,type,
f19: $i > $i ).
tff(c56,type,
c56: $i ).
tff(f11,type,
f11: $i > $i ).
tff(c49,type,
c49: $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(c59,type,
c59: $i ).
tff(f25,type,
f25: ( $i * $i ) > $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_386,axiom,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X0] : p10(X0,X0),
file(unknown,unknown) ).
tff(f_169,axiom,
! [X1,X2,X0] :
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X18] : p16(X18,X18),
file(unknown,unknown) ).
tff(f_22,axiom,
p38(c56),
file(unknown,unknown) ).
tff(f_384,axiom,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X97,X98] :
( p38(X97)
| ~ p38(X98)
| ~ p10(X98,X97) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X27] :
( p38(f15(X27))
| ~ p38(X27) ),
file(unknown,unknown) ).
tff(f_44,axiom,
p37(f15(c56),c48),
file(unknown,unknown) ).
tff(f_141,axiom,
! [X25,X26] :
( p16(f19(X25),f19(X26))
| ~ p10(X25,X26) ),
file(unknown,unknown) ).
tff(f_318,axiom,
! [X91,X92] :
( p39(f19(X91),f19(X92))
| ~ p38(X92)
| ~ p38(X91)
| ~ p37(X91,X92) ),
file(unknown,unknown) ).
tff(f_296,axiom,
! [X99,X100,X102,X101] :
( p39(X99,X100)
| ~ p16(X102,X100)
| ~ p39(X101,X102)
| ~ p16(X101,X99) ),
file(unknown,unknown) ).
tff(f_209,axiom,
! [X19,X20,X18] :
( p16(X19,X20)
| ~ p16(X18,X19)
| ~ p16(X18,X20) ),
file(unknown,unknown) ).
tff(f_161,axiom,
! [X27] :
( p16(f19(f15(X27)),f28(f19(X27)))
| ~ p38(X27) ),
file(unknown,unknown) ).
tff(f_390,axiom,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file(unknown,unknown) ).
tff(c_132,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_6,plain,
! [X0_1] : p10(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_295,plain,
! [X0_188,X2_189,X1_190] :
( ~ p10(X0_188,X2_189)
| ~ p10(X0_188,X1_190)
| p10(X1_190,X2_189) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_304,plain,
! [X0_1,X1_190] :
( ~ p10(X0_1,X1_190)
| p10(X1_190,X0_1) ),
inference(resolution,[status(thm)],[c_6,c_295]) ).
tff(c_1976,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(resolution,[status(thm)],[c_132,c_304]) ).
tff(c_16,plain,
! [X18_6] : p16(X18_6,X18_6),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2,plain,
p38(c56),
inference(cnfTransformation,[status(thm)],[f_22]) ).
tff(c_128,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_38,plain,
! [X98_14,X97_13] :
( ~ p10(X98_14,X97_13)
| ~ p38(X98_14)
| p38(X97_13) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_81787,plain,
( ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| p38(c48) ),
inference(resolution,[status(thm)],[c_1976,c_38]) ).
tff(c_81927,plain,
p38(c48),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_81787]) ).
tff(c_30,plain,
! [X27_8] :
( ~ p38(X27_8)
| p38(f15(X27_8)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_26,plain,
p37(f15(c56),c48),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_64,plain,
! [X25_39,X26_40] :
( ~ p10(X25_39,X26_40)
| p16(f19(X25_39),f19(X26_40)) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_858,plain,
! [X91_335,X92_336] :
( ~ p37(X91_335,X92_336)
| ~ p38(X91_335)
| ~ p38(X92_336)
| p39(f19(X91_335),f19(X92_336)) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_527,plain,
! [X101_251,X99_252,X102_253,X100_254] :
( ~ p16(X101_251,X99_252)
| ~ p39(X101_251,X102_253)
| ~ p16(X102_253,X100_254)
| p39(X99_252,X100_254) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_575,plain,
! [X18_6,X102_253,X100_254] :
( ~ p39(X18_6,X102_253)
| ~ p16(X102_253,X100_254)
| p39(X18_6,X100_254) ),
inference(resolution,[status(thm)],[c_16,c_527]) ).
tff(c_80854,plain,
! [X92_3246,X100_3247,X91_3248] :
( ~ p16(f19(X92_3246),X100_3247)
| p39(f19(X91_3248),X100_3247)
| ~ p37(X91_3248,X92_3246)
| ~ p38(X91_3248)
| ~ p38(X92_3246) ),
inference(resolution,[status(thm)],[c_858,c_575]) ).
tff(c_153626,plain,
! [X91_5427,X26_5428,X25_5429] :
( p39(f19(X91_5427),f19(X26_5428))
| ~ p37(X91_5427,X25_5429)
| ~ p38(X91_5427)
| ~ p38(X25_5429)
| ~ p10(X25_5429,X26_5428) ),
inference(resolution,[status(thm)],[c_64,c_80854]) ).
tff(c_153638,plain,
! [X26_5428] :
( p39(f19(f15(c56)),f19(X26_5428))
| ~ p38(f15(c56))
| ~ p38(c48)
| ~ p10(c48,X26_5428) ),
inference(resolution,[status(thm)],[c_26,c_153626]) ).
tff(c_153650,plain,
! [X26_5428] :
( p39(f19(f15(c56)),f19(X26_5428))
| ~ p38(f15(c56))
| ~ p10(c48,X26_5428) ),
inference(demodulation,[status(thm),theory(equality)],[c_81927,c_153638]) ).
tff(c_153651,plain,
~ p38(f15(c56)),
inference(splitLeft,[status(thm)],[c_153650]) ).
tff(c_153660,plain,
~ p38(c56),
inference(resolution,[status(thm)],[c_30,c_153651]) ).
tff(c_153666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153660]) ).
tff(c_153668,plain,
p38(f15(c56)),
inference(splitRight,[status(thm)],[c_153650]) ).
tff(c_230,plain,
! [X18_179,X20_180,X19_181] :
( ~ p16(X18_179,X20_180)
| ~ p16(X18_179,X19_181)
| p16(X19_181,X20_180) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_255,plain,
! [X18_182,X19_183] :
( ~ p16(X18_182,X19_183)
| p16(X19_183,X18_182) ),
inference(resolution,[status(thm)],[c_16,c_230]) ).
tff(c_272,plain,
! [X26_40,X25_39] :
( p16(f19(X26_40),f19(X25_39))
| ~ p10(X25_39,X26_40) ),
inference(resolution,[status(thm)],[c_64,c_255]) ).
tff(c_154141,plain,
! [X91_5437,X25_5438,X26_5439] :
( p39(f19(X91_5437),f19(X25_5438))
| ~ p37(X91_5437,X26_5439)
| ~ p38(X91_5437)
| ~ p38(X26_5439)
| ~ p10(X25_5438,X26_5439) ),
inference(resolution,[status(thm)],[c_272,c_80854]) ).
tff(c_154153,plain,
! [X25_5438] :
( p39(f19(f15(c56)),f19(X25_5438))
| ~ p38(f15(c56))
| ~ p38(c48)
| ~ p10(X25_5438,c48) ),
inference(resolution,[status(thm)],[c_26,c_154141]) ).
tff(c_154253,plain,
! [X25_5442] :
( p39(f19(f15(c56)),f19(X25_5442))
| ~ p10(X25_5442,c48) ),
inference(demodulation,[status(thm),theory(equality)],[c_81927,c_153668,c_154153]) ).
tff(c_72,plain,
! [X27_47] :
( ~ p38(X27_47)
| p16(f19(f15(X27_47)),f28(f19(X27_47))) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_560,plain,
! [X27_47,X102_253,X100_254] :
( ~ p39(f19(f15(X27_47)),X102_253)
| ~ p16(X102_253,X100_254)
| p39(f28(f19(X27_47)),X100_254)
| ~ p38(X27_47) ),
inference(resolution,[status(thm)],[c_72,c_527]) ).
tff(c_154259,plain,
! [X25_5442,X100_254] :
( ~ p16(f19(X25_5442),X100_254)
| p39(f28(f19(c56)),X100_254)
| ~ p38(c56)
| ~ p10(X25_5442,c48) ),
inference(resolution,[status(thm)],[c_154253,c_560]) ).
tff(c_158032,plain,
! [X25_5541,X100_5542] :
( ~ p16(f19(X25_5541),X100_5542)
| p39(f28(f19(c56)),X100_5542)
| ~ p10(X25_5541,c48) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154259]) ).
tff(c_158100,plain,
! [X25_5548] :
( p39(f28(f19(c56)),f19(X25_5548))
| ~ p10(X25_5548,c48) ),
inference(resolution,[status(thm)],[c_16,c_158032]) ).
tff(c_138,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_158111,plain,
~ p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(resolution,[status(thm)],[c_158100,c_138]) ).
tff(c_158123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1976,c_158111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n012.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 : Thu Aug 3 17:21:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 96.73/64.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.74/64.12
% 96.74/64.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 96.74/64.16
% 96.74/64.16 Inference rules
% 96.74/64.16 ----------------------
% 96.74/64.16 #Ref : 0
% 96.74/64.16 #Sup : 49547
% 96.74/64.16 #Fact : 0
% 96.74/64.16 #Define : 0
% 96.74/64.16 #Split : 47
% 96.74/64.16 #Chain : 0
% 96.74/64.16 #Close : 0
% 96.74/64.16
% 96.74/64.16 Ordering : KBO
% 96.74/64.16
% 96.74/64.16 Simplification rules
% 96.74/64.16 ----------------------
% 96.74/64.16 #Subsume : 4198
% 96.74/64.16 #Demod : 337
% 96.74/64.16 #Tautology : 141
% 96.74/64.16 #SimpNegUnit : 23
% 96.74/64.16 #BackRed : 0
% 96.74/64.16
% 96.74/64.16 #Partial instantiations: 0
% 96.74/64.16 #Strategies tried : 1
% 96.74/64.16
% 96.74/64.16 Timing (in seconds)
% 96.74/64.16 ----------------------
% 96.74/64.16 Preprocessing : 0.71
% 96.74/64.16 Parsing : 0.38
% 96.74/64.16 CNF conversion : 0.04
% 96.74/64.16 Main loop : 62.37
% 96.74/64.16 Inferencing : 4.79
% 96.74/64.16 Reduction : 10.93
% 96.74/64.16 Demodulation : 7.18
% 96.74/64.16 BG Simplification : 0.26
% 96.74/64.16 Subsumption : 39.26
% 96.74/64.16 Abstraction : 0.51
% 96.74/64.16 MUC search : 0.00
% 96.74/64.16 Cooper : 0.00
% 96.74/64.16 Total : 63.14
% 96.74/64.16 Index Insertion : 0.00
% 96.74/64.16 Index Deletion : 0.00
% 96.74/64.17 Index Matching : 0.00
% 96.74/64.17 BG Taut test : 0.00
%------------------------------------------------------------------------------