TSTP Solution File: SYN167-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN167-1 : 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/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 : n003.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 11:09:48 EDT 2023
% Result : Unsatisfiable 6.87s 2.80s
% Output : CNFRefutation 7.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 59
% Syntax : Number of formulae : 70 ( 11 unt; 53 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 10 (; 10 !; 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_81,axiom,
n0(c,d),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_710,axiom,
! [A] :
( p1(A,A,A)
| ~ k0(e)
| ~ k1(A)
| ~ l0(c) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ p1(d,X,d),
file(unknown,unknown) ).
tff(c_68,plain,
n0(c,d),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_901,plain,
! [J_648,I_649] :
( ~ n0(J_648,I_649)
| k1(I_649) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_928,plain,
k1(d),
inference(resolution,[status(thm)],[c_68,c_901]) ).
tff(c_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_234,plain,
! [A_144] :
( ~ l0(c)
| ~ k1(A_144)
| ~ k0(e)
| p1(A_144,A_144,A_144) ),
inference(cnfTransformation,[status(thm)],[f_710]) ).
tff(c_750,plain,
! [A_144] :
( ~ l0(c)
| ~ k1(A_144)
| p1(A_144,A_144,A_144) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_234]) ).
tff(c_1023,plain,
! [A_673] :
( ~ k1(A_673)
| p1(A_673,A_673,A_673) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_750]) ).
tff(c_738,plain,
! [X_627] : ~ p1(d,X_627,d),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_1030,plain,
~ k1(d),
inference(resolution,[status(thm)],[c_1023,c_738]) ).
tff(c_1035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_928,c_1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYN167-1 : TPTP v8.1.2. Released v1.1.0.
% 0.05/0.12 % 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
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 3 17:24:38 EDT 2023
% 0.10/0.32 % CPUTime :
% 6.87/2.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.87/2.80
% 6.87/2.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.35/2.83
% 7.35/2.83 Inference rules
% 7.35/2.83 ----------------------
% 7.35/2.83 #Ref : 0
% 7.35/2.83 #Sup : 38
% 7.35/2.83 #Fact : 0
% 7.35/2.83 #Define : 0
% 7.35/2.83 #Split : 10
% 7.35/2.83 #Chain : 0
% 7.35/2.83 #Close : 0
% 7.35/2.83
% 7.35/2.83 Ordering : KBO
% 7.35/2.83
% 7.35/2.83 Simplification rules
% 7.35/2.83 ----------------------
% 7.35/2.83 #Subsume : 30
% 7.35/2.83 #Demod : 64
% 7.35/2.83 #Tautology : 22
% 7.35/2.83 #SimpNegUnit : 2
% 7.35/2.83 #BackRed : 0
% 7.35/2.83
% 7.35/2.83 #Partial instantiations: 0
% 7.35/2.83 #Strategies tried : 1
% 7.35/2.83
% 7.35/2.83 Timing (in seconds)
% 7.35/2.83 ----------------------
% 7.35/2.83 Preprocessing : 0.95
% 7.35/2.83 Parsing : 0.54
% 7.35/2.83 CNF conversion : 0.08
% 7.35/2.83 Main loop : 0.74
% 7.35/2.83 Inferencing : 0.14
% 7.35/2.83 Reduction : 0.30
% 7.35/2.83 Demodulation : 0.19
% 7.35/2.83 BG Simplification : 0.09
% 7.35/2.83 Subsumption : 0.18
% 7.35/2.83 Abstraction : 0.02
% 7.35/2.83 MUC search : 0.00
% 7.35/2.83 Cooper : 0.00
% 7.35/2.83 Total : 1.74
% 7.35/2.83 Index Insertion : 0.00
% 7.35/2.83 Index Deletion : 0.00
% 7.35/2.83 Index Matching : 0.00
% 7.35/2.83 BG Taut test : 0.00
%------------------------------------------------------------------------------