TSTP Solution File: SYN178-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN178-1 : 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 : 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 11:09:50 EDT 2023
% Result : Unsatisfiable 93.47s 77.39s
% Output : CNFRefutation 93.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 66
% Syntax : Number of formulae : 90 ( 19 unt; 53 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 53 (; 53 !; 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_79,axiom,
k0(b),
file(unknown,unknown) ).
tff(f_50,axiom,
n0(d,b),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_1044,axiom,
! [I,J,A] :
( q1(I,I,I)
| ~ m0(J,A,I) ),
file(unknown,unknown) ).
tff(f_44,axiom,
s0(d),
file(unknown,unknown) ).
tff(f_1068,axiom,
! [D,E] :
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1524,axiom,
! [I] :
( q2(I,I,I)
| ~ p1(I,I,I) ),
file(unknown,unknown) ).
tff(f_1581,axiom,
! [C,D,E,F] :
( q2(C,D,C)
| ~ r1(D)
| ~ m0(E,F,C)
| ~ k0(D)
| ~ q2(D,D,D) ),
file(unknown,unknown) ).
tff(f_2129,axiom,
! [G,H,I] :
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ q3(b,d),
file(unknown,unknown) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_14,plain,
n0(d,b),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_312728,plain,
! [J_34160,A_34161,I_34162] :
( ~ m0(J_34160,A_34161,I_34162)
| q1(I_34162,I_34162,I_34162) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_312747,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_312728]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_324,plain,
! [E_232,D_231] :
( ~ q1(d,E_232,d)
| ~ s0(d)
| ~ q0(D_231,E_232)
| r1(D_231) ),
inference(cnfTransformation,[status(thm)],[f_1068]) ).
tff(c_335941,plain,
! [E_36472,D_36473] :
( ~ q1(d,E_36472,d)
| ~ q0(D_36473,E_36472)
| r1(D_36473) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_335947,plain,
! [D_36473] :
( ~ q0(D_36473,d)
| r1(D_36473) ),
inference(resolution,[status(thm)],[c_312747,c_335941]) ).
tff(c_335956,plain,
! [D_36473] : r1(D_36473),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_335947]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_148902,plain,
! [C_18837,B_18838] :
( ~ p0(C_18837,B_18838)
| p1(B_18838,B_18838,B_18838) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_148908,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_148902]) ).
tff(c_438,plain,
! [I_327] :
( ~ p1(I_327,I_327,I_327)
| q2(I_327,I_327,I_327) ),
inference(cnfTransformation,[status(thm)],[f_1524]) ).
tff(c_318969,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_148908,c_438]) ).
tff(c_450,plain,
! [D_341,E_342,F_343,C_340] :
( ~ q2(D_341,D_341,D_341)
| ~ k0(D_341)
| ~ m0(E_342,F_343,C_340)
| ~ r1(D_341)
| q2(C_340,D_341,C_340) ),
inference(cnfTransformation,[status(thm)],[f_1581]) ).
tff(c_368978,plain,
! [D_38808,E_38809,F_38810,C_38811] :
( ~ k0(D_38808)
| ~ m0(E_38809,F_38810,C_38811)
| q2(C_38811,D_38808,C_38811) ),
inference(demodulation,[status(thm),theory(equality)],[c_335956,c_318969,c_450]) ).
tff(c_369017,plain,
! [D_38813,Y_38814] :
( ~ k0(D_38813)
| q2(Y_38814,D_38813,Y_38814) ),
inference(resolution,[status(thm)],[c_38,c_368978]) ).
tff(c_586,plain,
! [I_466,G_464,H_465] :
( ~ n0(I_466,G_464)
| ~ q2(I_466,G_464,H_465)
| q3(G_464,H_465) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_369051,plain,
! [Y_38816,D_38817] :
( ~ n0(Y_38816,D_38817)
| q3(D_38817,Y_38816)
| ~ k0(D_38817) ),
inference(resolution,[status(thm)],[c_369017,c_586]) ).
tff(c_738,plain,
~ q3(b,d),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_369077,plain,
( ~ n0(d,b)
| ~ k0(b) ),
inference(resolution,[status(thm)],[c_369051,c_738]) ).
tff(c_369099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_14,c_369077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % 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 : n014.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
% 0.14/0.35 % DateTime : Thu Aug 3 17:13:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 93.47/77.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.47/77.40
% 93.47/77.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 93.57/77.43
% 93.57/77.43 Inference rules
% 93.57/77.43 ----------------------
% 93.57/77.43 #Ref : 0
% 93.57/77.43 #Sup : 66188
% 93.57/77.43 #Fact : 0
% 93.57/77.43 #Define : 0
% 93.57/77.43 #Split : 5996
% 93.57/77.43 #Chain : 0
% 93.57/77.43 #Close : 0
% 93.57/77.43
% 93.57/77.43 Ordering : KBO
% 93.57/77.43
% 93.57/77.43 Simplification rules
% 93.57/77.43 ----------------------
% 93.57/77.43 #Subsume : 20813
% 93.57/77.43 #Demod : 67315
% 93.57/77.43 #Tautology : 40339
% 93.57/77.43 #SimpNegUnit : 4810
% 93.57/77.43 #BackRed : 5047
% 93.57/77.43
% 93.57/77.43 #Partial instantiations: 0
% 93.57/77.43 #Strategies tried : 1
% 93.57/77.43
% 93.57/77.43 Timing (in seconds)
% 93.57/77.43 ----------------------
% 93.57/77.43 Preprocessing : 1.02
% 93.57/77.43 Parsing : 0.57
% 93.57/77.43 CNF conversion : 0.09
% 93.57/77.43 Main loop : 75.34
% 93.57/77.43 Inferencing : 22.85
% 93.57/77.43 Reduction : 31.08
% 93.57/77.43 Demodulation : 21.65
% 93.57/77.43 BG Simplification : 0.30
% 93.57/77.43 Subsumption : 16.13
% 93.57/77.43 Abstraction : 0.60
% 93.57/77.43 MUC search : 0.00
% 93.57/77.43 Cooper : 0.00
% 93.57/77.43 Total : 76.41
% 93.57/77.43 Index Insertion : 0.00
% 93.57/77.43 Index Deletion : 0.00
% 93.57/77.43 Index Matching : 0.00
% 93.57/77.43 BG Taut test : 0.00
%------------------------------------------------------------------------------