TSTP Solution File: LDA002-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n014.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 10:49:20 EDT 2023
% Result : Unsatisfiable 14.15s 6.72s
% Output : CNFRefutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 128 ( 116 unt; 12 typ; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 30 (; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > #nlpp > v > uu > u3 > u2 > u1 > u > n3 > n2 > n1 > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(u3,type,
u3: $i ).
tff(uu,type,
uu: $i ).
tff(u1,type,
u1: $i ).
tff(a,type,
a: $i ).
tff(u,type,
u: $i ).
tff(n3,type,
n3: $i ).
tff(u2,type,
u2: $i ).
tff(b,type,
b: $i ).
tff(n1,type,
n1: $i ).
tff(v,type,
v: $i ).
tff(n2,type,
n2: $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(f_37,axiom,
f(a,v) != f(b,v),
file(unknown,unknown) ).
tff(f_27,axiom,
u = f(n2,n2),
file(unknown,unknown) ).
tff(f_25,axiom,
n2 = f(n1,n1),
file(unknown,unknown) ).
tff(f_24,axiom,
! [X,Y,Z] : ( f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
uu = f(u,u),
file(unknown,unknown) ).
tff(f_26,axiom,
n3 = f(n2,n1),
file(unknown,unknown) ).
tff(f_30,axiom,
u3 = f(u,n3),
file(unknown,unknown) ).
tff(f_33,axiom,
b = f(u1,u3),
file(unknown,unknown) ).
tff(f_28,axiom,
u1 = f(u,n1),
file(unknown,unknown) ).
tff(f_34,axiom,
v = f(uu,uu),
file(unknown,unknown) ).
tff(f_29,axiom,
u2 = f(u,n2),
file(unknown,unknown) ).
tff(f_32,axiom,
a = f(f(n3,n2),u2),
file(unknown,unknown) ).
tff(c_24,plain,
f(b,v) != f(a,v),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
f(n2,n2) = u,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
f(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_65,plain,
! [X_4,Y_5,Z_6] : ( f(f(X_4,Y_5),f(X_4,Z_6)) = f(X_4,f(Y_5,Z_6)) ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_387,plain,
! [Z_10] : ( f(n2,f(n1,Z_10)) = f(n1,f(n1,Z_10)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_405,plain,
f(n1,f(n1,n1)) = f(n2,n2),
inference(superposition,[status(thm),theory(equality)],[c_4,c_387]) ).
tff(c_409,plain,
f(n1,n2) = u,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_405]) ).
tff(c_16,plain,
f(u,u) = uu,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_319,plain,
! [Z_9] : ( f(u,f(n2,Z_9)) = f(n2,f(n2,Z_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_352,plain,
f(n2,f(n2,n2)) = f(u,u),
inference(superposition,[status(thm),theory(equality)],[c_8,c_319]) ).
tff(c_356,plain,
f(n2,u) = uu,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_16,c_352]) ).
tff(c_128,plain,
! [Z_6] : ( f(n2,f(n1,Z_6)) = f(n1,f(n1,Z_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_413,plain,
f(n1,f(n1,n2)) = f(n2,u),
inference(superposition,[status(thm),theory(equality)],[c_409,c_128]) ).
tff(c_422,plain,
f(n1,u) = uu,
inference(demodulation,[status(thm),theory(equality)],[c_409,c_356,c_413]) ).
tff(c_427,plain,
f(n1,f(n1,u)) = f(n2,uu),
inference(superposition,[status(thm),theory(equality)],[c_422,c_128]) ).
tff(c_436,plain,
f(n2,uu) = f(n1,uu),
inference(demodulation,[status(thm),theory(equality)],[c_422,c_427]) ).
tff(c_116,plain,
! [Z_6] : ( f(u,f(n2,Z_6)) = f(n2,f(n2,Z_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_376,plain,
f(n2,f(n2,u)) = f(u,uu),
inference(superposition,[status(thm),theory(equality)],[c_356,c_116]) ).
tff(c_385,plain,
f(u,uu) = f(n2,uu),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_376]) ).
tff(c_719,plain,
f(u,uu) = f(n1,uu),
inference(demodulation,[status(thm),theory(equality)],[c_436,c_385]) ).
tff(c_6,plain,
f(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_110,plain,
! [Z_6] : ( f(n3,f(n2,Z_6)) = f(n2,f(n1,Z_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_449,plain,
! [Z_11] : ( f(n3,f(n2,Z_11)) = f(n1,f(n1,Z_11)) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_110]) ).
tff(c_473,plain,
f(n1,f(n1,n1)) = f(n3,n3),
inference(superposition,[status(thm),theory(equality)],[c_6,c_449]) ).
tff(c_480,plain,
f(n3,n3) = u,
inference(demodulation,[status(thm),theory(equality)],[c_409,c_4,c_473]) ).
tff(c_14,plain,
f(u,n3) = u3,
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_195,plain,
! [Z_8] : ( f(u3,f(u,Z_8)) = f(u,f(n3,Z_8)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_65]) ).
tff(c_213,plain,
f(u,f(n3,n3)) = f(u3,u3),
inference(superposition,[status(thm),theory(equality)],[c_14,c_195]) ).
tff(c_482,plain,
f(u3,u3) = f(u,u),
inference(demodulation,[status(thm),theory(equality)],[c_480,c_213]) ).
tff(c_483,plain,
f(u3,u3) = uu,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_482]) ).
tff(c_20,plain,
f(u1,u3) = b,
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_619,plain,
! [Y_13] : ( f(f(u1,Y_13),b) = f(u1,f(Y_13,u3)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_65]) ).
tff(c_634,plain,
f(u1,f(u3,u3)) = f(b,b),
inference(superposition,[status(thm),theory(equality)],[c_20,c_619]) ).
tff(c_637,plain,
f(u1,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_483,c_634]) ).
tff(c_10,plain,
f(u,n1) = u1,
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_995,plain,
! [Z_18] : ( f(u1,f(u,Z_18)) = f(u,f(n1,Z_18)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_65]) ).
tff(c_1037,plain,
f(u,f(n1,u)) = f(u1,uu),
inference(superposition,[status(thm),theory(equality)],[c_16,c_995]) ).
tff(c_1043,plain,
f(n1,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_719,c_637,c_422,c_1037]) ).
tff(c_1081,plain,
f(u,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_1043,c_719]) ).
tff(c_22,plain,
f(uu,uu) = v,
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1299,plain,
! [Z_21] : ( f(uu,f(u,Z_21)) = f(u,f(u,Z_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_65]) ).
tff(c_1344,plain,
f(u,f(u,u)) = f(uu,uu),
inference(superposition,[status(thm),theory(equality)],[c_16,c_1299]) ).
tff(c_1356,plain,
f(b,b) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1081,c_16,c_22,c_1344]) ).
tff(c_467,plain,
f(n1,f(n1,u)) = f(n3,uu),
inference(superposition,[status(thm),theory(equality)],[c_356,c_449]) ).
tff(c_479,plain,
f(n3,uu) = f(n1,uu),
inference(demodulation,[status(thm),theory(equality)],[c_422,c_467]) ).
tff(c_1085,plain,
f(n3,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_1043,c_479]) ).
tff(c_1360,plain,
f(n3,uu) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1085]) ).
tff(c_476,plain,
f(n1,f(n1,n2)) = f(n3,u),
inference(superposition,[status(thm),theory(equality)],[c_8,c_449]) ).
tff(c_481,plain,
f(n3,u) = uu,
inference(demodulation,[status(thm),theory(equality)],[c_422,c_409,c_476]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( f(f(X_1,Y_2),f(X_1,Z_3)) = f(X_1,f(Y_2,Z_3)) ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_9609,plain,
! [Y_70] : ( f(f(n3,Y_70),uu) = f(n3,f(Y_70,u)) ),
inference(superposition,[status(thm),theory(equality)],[c_481,c_2]) ).
tff(c_12,plain,
f(u,n2) = u2,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_146,plain,
! [Z_7] : ( f(u2,f(u,Z_7)) = f(u,f(n2,Z_7)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_65]) ).
tff(c_161,plain,
f(u,f(n2,n2)) = f(u2,u2),
inference(superposition,[status(thm),theory(equality)],[c_12,c_146]) ).
tff(c_173,plain,
f(u2,u2) = uu,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_8,c_161]) ).
tff(c_18,plain,
f(f(n3,n2),u2) = a,
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_1906,plain,
! [Y_26] : ( f(f(f(n3,n2),Y_26),a) = f(f(n3,n2),f(Y_26,u2)) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_65]) ).
tff(c_1925,plain,
f(f(n3,n2),f(u2,u2)) = f(a,a),
inference(superposition,[status(thm),theory(equality)],[c_18,c_1906]) ).
tff(c_1929,plain,
f(f(n3,n2),uu) = f(a,a),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_1925]) ).
tff(c_9633,plain,
f(n3,f(n2,u)) = f(a,a),
inference(superposition,[status(thm),theory(equality)],[c_9609,c_1929]) ).
tff(c_9690,plain,
f(a,a) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_356,c_9633]) ).
tff(c_1362,plain,
f(n1,uu) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1043]) ).
tff(c_1514,plain,
f(n1,f(n1,uu)) = f(n2,v),
inference(superposition,[status(thm),theory(equality)],[c_1362,c_128]) ).
tff(c_1523,plain,
f(n2,v) = f(n1,v),
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_1514]) ).
tff(c_1084,plain,
f(n2,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_1043,c_436]) ).
tff(c_1359,plain,
f(n2,uu) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1084]) ).
tff(c_1428,plain,
f(n2,f(n2,uu)) = f(u,v),
inference(superposition,[status(thm),theory(equality)],[c_1359,c_116]) ).
tff(c_1437,plain,
f(u,v) = f(n2,v),
inference(demodulation,[status(thm),theory(equality)],[c_1359,c_1428]) ).
tff(c_1705,plain,
f(u,v) = f(n1,v),
inference(demodulation,[status(thm),theory(equality)],[c_1523,c_1437]) ).
tff(c_1357,plain,
f(u,uu) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1081]) ).
tff(c_134,plain,
! [Z_6] : ( f(uu,f(u,Z_6)) = f(u,f(u,Z_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_65]) ).
tff(c_1377,plain,
f(u,f(u,uu)) = f(uu,v),
inference(superposition,[status(thm),theory(equality)],[c_1357,c_134]) ).
tff(c_1401,plain,
f(uu,v) = f(u,v),
inference(demodulation,[status(thm),theory(equality)],[c_1357,c_1377]) ).
tff(c_1706,plain,
f(uu,v) = f(n1,v),
inference(demodulation,[status(thm),theory(equality)],[c_1705,c_1401]) ).
tff(c_92,plain,
! [Z_6] : ( f(u2,f(u,Z_6)) = f(u,f(n2,Z_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_65]) ).
tff(c_539,plain,
! [Z_12] : ( f(u2,f(u,Z_12)) = f(n2,f(n2,Z_12)) ),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_92]) ).
tff(c_575,plain,
f(n2,f(n2,u)) = f(u2,uu),
inference(superposition,[status(thm),theory(equality)],[c_16,c_539]) ).
tff(c_581,plain,
f(u2,uu) = f(n2,uu),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_575]) ).
tff(c_718,plain,
f(u2,uu) = f(n1,uu),
inference(demodulation,[status(thm),theory(equality)],[c_436,c_581]) ).
tff(c_1082,plain,
f(u2,uu) = f(b,b),
inference(demodulation,[status(thm),theory(equality)],[c_1043,c_718]) ).
tff(c_1361,plain,
f(u2,uu) = v,
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1082]) ).
tff(c_1771,plain,
! [Y_25] : ( f(f(n1,Y_25),n2) = f(n1,f(Y_25,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_1795,plain,
f(n1,f(n2,n1)) = f(u,n2),
inference(superposition,[status(thm),theory(equality)],[c_409,c_1771]) ).
tff(c_1802,plain,
f(n1,n3) = u2,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_1795]) ).
tff(c_1031,plain,
f(u,f(n1,n3)) = f(u1,u3),
inference(superposition,[status(thm),theory(equality)],[c_14,c_995]) ).
tff(c_1041,plain,
f(u,f(n1,n3)) = b,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_1031]) ).
tff(c_1805,plain,
f(u,u2) = b,
inference(demodulation,[status(thm),theory(equality)],[c_1802,c_1041]) ).
tff(c_1209,plain,
! [Y_20] : ( f(f(u,Y_20),u2) = f(u,f(Y_20,n2)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_65]) ).
tff(c_1251,plain,
f(u,f(u,n2)) = f(uu,u2),
inference(superposition,[status(thm),theory(equality)],[c_16,c_1209]) ).
tff(c_1257,plain,
f(uu,u2) = f(u,u2),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1251]) ).
tff(c_1823,plain,
f(uu,u2) = b,
inference(demodulation,[status(thm),theory(equality)],[c_1805,c_1257]) ).
tff(c_143,plain,
! [Y_5] : ( f(f(uu,Y_5),v) = f(uu,f(Y_5,uu)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_65]) ).
tff(c_1866,plain,
f(uu,f(u2,uu)) = f(b,v),
inference(superposition,[status(thm),theory(equality)],[c_1823,c_143]) ).
tff(c_1876,plain,
f(n1,v) = f(b,v),
inference(demodulation,[status(thm),theory(equality)],[c_1706,c_1361,c_1866]) ).
tff(c_750,plain,
! [Y_15] : ( f(f(uu,Y_15),v) = f(uu,f(Y_15,uu)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_65]) ).
tff(c_768,plain,
f(uu,f(uu,uu)) = f(v,v),
inference(superposition,[status(thm),theory(equality)],[c_22,c_750]) ).
tff(c_772,plain,
f(v,v) = f(uu,v),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_768]) ).
tff(c_1636,plain,
f(v,v) = f(u,v),
inference(demodulation,[status(thm),theory(equality)],[c_1401,c_772]) ).
tff(c_1743,plain,
f(v,v) = f(n1,v),
inference(demodulation,[status(thm),theory(equality)],[c_1705,c_1636]) ).
tff(c_2021,plain,
f(v,v) = f(b,v),
inference(demodulation,[status(thm),theory(equality)],[c_1876,c_1743]) ).
tff(c_16242,plain,
! [Z_108] : ( f(v,f(a,Z_108)) = f(a,f(a,Z_108)) ),
inference(superposition,[status(thm),theory(equality)],[c_9690,c_2]) ).
tff(c_16275,plain,
f(a,f(a,a)) = f(v,v),
inference(superposition,[status(thm),theory(equality)],[c_9690,c_16242]) ).
tff(c_16280,plain,
f(b,v) = f(a,v),
inference(demodulation,[status(thm),theory(equality)],[c_9690,c_2021,c_16275]) ).
tff(c_16282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_16280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n014.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 : Thu Aug 3 17:49:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 14.15/6.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.15/6.73
% 14.15/6.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.15/6.77
% 14.15/6.77 Inference rules
% 14.15/6.77 ----------------------
% 14.15/6.77 #Ref : 0
% 14.15/6.77 #Sup : 4682
% 14.15/6.77 #Fact : 0
% 14.15/6.77 #Define : 0
% 14.15/6.77 #Split : 0
% 14.15/6.77 #Chain : 0
% 14.15/6.77 #Close : 0
% 14.15/6.77
% 14.15/6.77 Ordering : KBO
% 14.15/6.77
% 14.15/6.77 Simplification rules
% 14.15/6.77 ----------------------
% 14.15/6.77 #Subsume : 0
% 14.15/6.77 #Demod : 4892
% 14.15/6.77 #Tautology : 1280
% 14.15/6.77 #SimpNegUnit : 1
% 14.15/6.77 #BackRed : 49
% 14.15/6.77
% 14.15/6.77 #Partial instantiations: 0
% 14.15/6.77 #Strategies tried : 1
% 14.15/6.77
% 14.15/6.77 Timing (in seconds)
% 14.15/6.77 ----------------------
% 14.15/6.77 Preprocessing : 0.42
% 14.15/6.77 Parsing : 0.22
% 14.15/6.77 CNF conversion : 0.02
% 14.15/6.77 Main loop : 5.27
% 14.15/6.78 Inferencing : 0.85
% 14.15/6.78 Reduction : 3.63
% 14.15/6.78 Demodulation : 3.40
% 14.15/6.78 BG Simplification : 0.10
% 14.15/6.78 Subsumption : 0.48
% 14.15/6.78 Abstraction : 0.13
% 14.15/6.78 MUC search : 0.00
% 14.15/6.78 Cooper : 0.00
% 14.15/6.78 Total : 5.76
% 14.15/6.78 Index Insertion : 0.00
% 14.15/6.78 Index Deletion : 0.00
% 14.15/6.78 Index Matching : 0.00
% 14.15/6.78 BG Taut test : 0.00
%------------------------------------------------------------------------------