TSTP Solution File: SYN207-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN207-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n016.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 11:09:57 EDT 2023
% Result : Unsatisfiable 103.79s 87.06s
% Output : CNFRefutation 103.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 71
% Syntax : Number of formulae : 125 ( 39 unt; 53 typ; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 131 ( 69 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 48 >; 42 *; 0 +; 0 <<)
% Number of predicates : 49 ( 48 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 79 (; 79 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r3 > q2 > q1 > p5 > p4 > p3 > p2 > p1 > n1 > m3 > m1 > m0 > k3 > s3 > r5 > q5 > q4 > q3 > q0 > p0 > n5 > n4 > n0 > m5 > m4 > l3 > l2 > l1 > k2 > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > #nlpp > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(n5,type,
n5: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i * $i ) > $o ).
tff(m2,type,
m2: $i > $o ).
tff(s5,type,
s5: $i > $o ).
tff(s1,type,
s1: $i > $o ).
tff(m5,type,
m5: ( $i * $i ) > $o ).
tff(q4,type,
q4: ( $i * $i ) > $o ).
tff(m4,type,
m4: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(k1,type,
k1: $i > $o ).
tff(l1,type,
l1: ( $i * $i ) > $o ).
tff(s0,type,
s0: $i > $o ).
tff(q2,type,
q2: ( $i * $i * $i ) > $o ).
tff(n0,type,
n0: ( $i * $i ) > $o ).
tff(k0,type,
k0: $i > $o ).
tff(m3,type,
m3: ( $i * $i * $i ) > $o ).
tff(r4,type,
r4: $i > $o ).
tff(l0,type,
l0: $i > $o ).
tff(q0,type,
q0: ( $i * $i ) > $o ).
tff(k4,type,
k4: $i > $o ).
tff(m1,type,
m1: ( $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(p0,type,
p0: ( $i * $i ) > $o ).
tff(r0,type,
r0: $i > $o ).
tff(q1,type,
q1: ( $i * $i * $i ) > $o ).
tff(s4,type,
s4: $i > $o ).
tff(r3,type,
r3: ( $i * $i * $i ) > $o ).
tff(k2,type,
k2: ( $i * $i ) > $o ).
tff(n2,type,
n2: $i > $o ).
tff(s3,type,
s3: ( $i * $i ) > $o ).
tff(l3,type,
l3: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i * $i ) > $o ).
tff(p4,type,
p4: ( $i * $i * $i ) > $o ).
tff(s2,type,
s2: $i > $o ).
tff(r5,type,
r5: ( $i * $i ) > $o ).
tff(k3,type,
k3: ( $i * $i * $i ) > $o ).
tff(d,type,
d: $i ).
tff(l2,type,
l2: ( $i * $i ) > $o ).
tff(l4,type,
l4: $i > $o ).
tff(l5,type,
l5: $i > $o ).
tff(k5,type,
k5: $i > $o ).
tff(p5,type,
p5: ( $i * $i * $i ) > $o ).
tff(n4,type,
n4: ( $i * $i ) > $o ).
tff(q3,type,
q3: ( $i * $i ) > $o ).
tff(m0,type,
m0: ( $i * $i * $i ) > $o ).
tff(q5,type,
q5: ( $i * $i ) > $o ).
tff(e,type,
e: $i ).
tff(n1,type,
n1: ( $i * $i * $i ) > $o ).
tff(r1,type,
r1: $i > $o ).
tff(n3,type,
n3: $i > $o ).
tff(r2,type,
r2: $i > $o ).
tff(p1,type,
p1: ( $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_2764,axiom,
~ s3(c,c),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_70,axiom,
m0(a,e,e),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_1081,axiom,
! [F,G,H] :
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ),
file(unknown,unknown) ).
tff(f_1073,axiom,
! [I] :
( s1(I)
| ~ p0(I,I) ),
file(unknown,unknown) ).
tff(f_1141,axiom,
! [J,A,B,C] :
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ),
file(unknown,unknown) ).
tff(f_1123,axiom,
! [D,E] :
( l2(D,E)
| ~ s1(D)
| ~ n0(e,E)
| ~ l2(E,E) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_1164,axiom,
( m2(b)
| ~ k1(b) ),
file(unknown,unknown) ).
tff(f_60,axiom,
n0(a,b),
file(unknown,unknown) ).
tff(f_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_1546,axiom,
! [D,E] :
( q2(D,c,E)
| ~ k1(E)
| ~ l0(c)
| ~ l2(E,D) ),
file(unknown,unknown) ).
tff(f_1597,axiom,
! [H] :
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ),
file(unknown,unknown) ).
tff(f_74,axiom,
m0(e,b,c),
file(unknown,unknown) ).
tff(f_2297,axiom,
! [I,J,A,B] :
( s3(I,J)
| ~ q2(A,I,A)
| ~ s2(I)
| ~ m0(A,B,J) ),
file(unknown,unknown) ).
tff(c_738,plain,
~ s3(c,c),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14253,plain,
! [J_2622,I_2623] :
( ~ n0(J_2622,I_2623)
| k1(I_2623) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_14284,plain,
k1(e),
inference(resolution,[status(thm)],[c_60,c_14253]) ).
tff(c_46,plain,
m0(a,e,e),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_328,plain,
! [H_236,F_234,G_235] :
( ~ s1(H_236)
| ~ q0(F_234,G_235)
| s1(F_234) ),
inference(cnfTransformation,[status(thm)],[f_1081]) ).
tff(c_377784,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_1416,plain,
! [I_755] :
( ~ p0(I_755,I_755)
| s1(I_755) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1421,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1416]) ).
tff(c_377788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377784,c_1421]) ).
tff(c_377799,plain,
! [F_41055,G_41056] :
( ~ q0(F_41055,G_41056)
| s1(F_41055) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_377822,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_377799]) ).
tff(c_342,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ s1(B_248)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(cnfTransformation,[status(thm)],[f_1141]) ).
tff(c_427655,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_342]) ).
tff(c_427657,plain,
! [A_45723] : ~ p0(A_45723,A_45723),
inference(splitLeft,[status(thm)],[c_427655]) ).
tff(c_427662,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_427657]) ).
tff(c_427668,plain,
! [C_45724,B_45725,J_45726] :
( ~ m0(C_45724,B_45725,J_45726)
| l2(J_45726,J_45726) ),
inference(splitRight,[status(thm)],[c_427655]) ).
tff(c_427685,plain,
l2(e,e),
inference(resolution,[status(thm)],[c_46,c_427668]) ).
tff(c_338,plain,
! [E_245,D_244] :
( ~ l2(E_245,E_245)
| ~ n0(e,E_245)
| ~ s1(D_244)
| l2(D_244,E_245) ),
inference(cnfTransformation,[status(thm)],[f_1123]) ).
tff(c_426857,plain,
! [E_245,D_244] :
( ~ l2(E_245,E_245)
| ~ n0(e,E_245)
| l2(D_244,E_245) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_338]) ).
tff(c_427694,plain,
! [D_244] :
( ~ n0(e,e)
| l2(D_244,e) ),
inference(resolution,[status(thm)],[c_427685,c_426857]) ).
tff(c_427697,plain,
! [D_244] : l2(D_244,e),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_427694]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_418140,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_342]) ).
tff(c_418142,plain,
! [A_44894] : ~ p0(A_44894,A_44894),
inference(splitLeft,[status(thm)],[c_418140]) ).
tff(c_418147,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_418142]) ).
tff(c_418316,plain,
! [C_44907,B_44908,J_44909] :
( ~ m0(C_44907,B_44908,J_44909)
| l2(J_44909,J_44909) ),
inference(splitRight,[status(thm)],[c_418140]) ).
tff(c_418334,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_418316]) ).
tff(c_348,plain,
( ~ k1(b)
| m2(b) ),
inference(cnfTransformation,[status(thm)],[f_1164]) ).
tff(c_842,plain,
~ k1(b),
inference(splitLeft,[status(thm)],[c_348]) ).
tff(c_30,plain,
n0(a,b),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_859,plain,
! [J_639,I_640] :
( ~ n0(J_639,I_640)
| k1(I_640) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_862,plain,
k1(b),
inference(resolution,[status(thm)],[c_30,c_859]) ).
tff(c_887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_842,c_862]) ).
tff(c_889,plain,
k1(b),
inference(splitRight,[status(thm)],[c_348]) ).
tff(c_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_442,plain,
! [E_332,D_331] :
( ~ l2(E_332,D_331)
| ~ l0(c)
| ~ k1(E_332)
| q2(D_331,c,E_332) ),
inference(cnfTransformation,[status(thm)],[f_1546]) ).
tff(c_411806,plain,
! [E_44315,D_44316] :
( ~ l2(E_44315,D_44316)
| ~ k1(E_44315)
| q2(D_44316,c,E_44315) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_442]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_389210,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_454]) ).
tff(c_411810,plain,
( s2(c)
| ~ l2(b,b)
| ~ k1(b) ),
inference(resolution,[status(thm)],[c_411806,c_389210]) ).
tff(c_411813,plain,
( s2(c)
| ~ l2(b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_889,c_411810]) ).
tff(c_411815,plain,
~ l2(b,b),
inference(splitLeft,[status(thm)],[c_411813]) ).
tff(c_418354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_418334,c_411815]) ).
tff(c_418355,plain,
s2(c),
inference(splitRight,[status(thm)],[c_411813]) ).
tff(c_760,plain,
! [E_332,D_331] :
( ~ l2(E_332,D_331)
| ~ k1(E_332)
| q2(D_331,c,E_332) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_442]) ).
tff(c_54,plain,
m0(e,b,c),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_429278,plain,
! [A_45838,B_45839,J_45840,I_45841] :
( ~ m0(A_45838,B_45839,J_45840)
| ~ s2(I_45841)
| ~ q2(A_45838,I_45841,A_45838)
| s3(I_45841,J_45840) ),
inference(cnfTransformation,[status(thm)],[f_2297]) ).
tff(c_429603,plain,
! [I_45861] :
( ~ s2(I_45861)
| ~ q2(e,I_45861,e)
| s3(I_45861,c) ),
inference(resolution,[status(thm)],[c_54,c_429278]) ).
tff(c_429611,plain,
( ~ s2(c)
| s3(c,c)
| ~ l2(e,e)
| ~ k1(e) ),
inference(resolution,[status(thm)],[c_760,c_429603]) ).
tff(c_429625,plain,
s3(c,c),
inference(demodulation,[status(thm),theory(equality)],[c_14284,c_427697,c_418355,c_429611]) ).
tff(c_429627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_738,c_429625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN207-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:03:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 103.79/87.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.79/87.07
% 103.79/87.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 103.91/87.11
% 103.91/87.11 Inference rules
% 103.91/87.11 ----------------------
% 103.91/87.11 #Ref : 0
% 103.91/87.11 #Sup : 77074
% 103.91/87.11 #Fact : 0
% 103.91/87.11 #Define : 0
% 103.91/87.11 #Split : 7029
% 103.91/87.11 #Chain : 0
% 103.91/87.11 #Close : 0
% 103.91/87.11
% 103.91/87.11 Ordering : KBO
% 103.91/87.11
% 103.91/87.11 Simplification rules
% 103.91/87.11 ----------------------
% 103.91/87.11 #Subsume : 24721
% 103.91/87.11 #Demod : 78199
% 103.91/87.11 #Tautology : 46394
% 103.91/87.11 #SimpNegUnit : 5493
% 103.91/87.11 #BackRed : 5765
% 103.91/87.11
% 103.91/87.11 #Partial instantiations: 0
% 103.91/87.11 #Strategies tried : 1
% 103.91/87.11
% 103.91/87.11 Timing (in seconds)
% 103.91/87.11 ----------------------
% 103.91/87.12 Preprocessing : 0.99
% 103.91/87.12 Parsing : 0.56
% 103.91/87.12 CNF conversion : 0.08
% 103.91/87.12 Main loop : 85.05
% 103.91/87.12 Inferencing : 25.58
% 103.91/87.12 Reduction : 35.01
% 103.91/87.12 Demodulation : 24.66
% 103.91/87.12 BG Simplification : 0.34
% 103.91/87.12 Subsumption : 18.31
% 103.91/87.12 Abstraction : 0.68
% 103.91/87.12 MUC search : 0.00
% 103.91/87.12 Cooper : 0.00
% 103.91/87.12 Total : 86.11
% 103.91/87.12 Index Insertion : 0.00
% 103.91/87.12 Index Deletion : 0.00
% 103.91/87.12 Index Matching : 0.00
% 103.91/87.12 BG Taut test : 0.00
%------------------------------------------------------------------------------