TSTP Solution File: SYN291-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN291-1 : 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 : n018.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 11:10:19 EDT 2023
% Result : Unsatisfiable 7.25s 2.75s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 57
% Syntax : Number of formulae : 64 ( 8 unt; 53 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 4 (; 4 !; 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_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X,Y] : ~ q1(d,X,Y),
file(unknown,unknown) ).
tff(f_1016,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file(unknown,unknown) ).
tff(f_44,axiom,
s0(d),
file(unknown,unknown) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_738,plain,
! [X_627,Y_628] : ~ q1(d,X_627,Y_628),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_310,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(cnfTransformation,[status(thm)],[f_1016]) ).
tff(c_739,plain,
( ~ s0(d)
| ~ k0(e) ),
inference(negUnitSimplification,[status(thm)],[c_738,c_310]) ).
tff(c_752,plain,
~ s0(d),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_739]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_752,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN291-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 17:18:50 EDT 2023
% 0.15/0.37 % CPUTime :
% 7.25/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.25/2.75
% 7.25/2.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.25/2.79
% 7.25/2.79 Inference rules
% 7.25/2.79 ----------------------
% 7.25/2.79 #Ref : 0
% 7.25/2.79 #Sup : 0
% 7.25/2.79 #Fact : 0
% 7.25/2.79 #Define : 0
% 7.25/2.79 #Split : 0
% 7.25/2.79 #Chain : 0
% 7.25/2.79 #Close : 0
% 7.25/2.79
% 7.25/2.79 Ordering : KBO
% 7.25/2.79
% 7.25/2.79 Simplification rules
% 7.25/2.79 ----------------------
% 7.25/2.79 #Subsume : 355
% 7.25/2.79 #Demod : 49
% 7.25/2.79 #Tautology : 13
% 7.25/2.79 #SimpNegUnit : 3
% 7.25/2.79 #BackRed : 0
% 7.25/2.79
% 7.25/2.79 #Partial instantiations: 0
% 7.25/2.79 #Strategies tried : 1
% 7.25/2.79
% 7.25/2.79 Timing (in seconds)
% 7.25/2.79 ----------------------
% 7.25/2.80 Preprocessing : 1.03
% 7.25/2.80 Parsing : 0.58
% 7.25/2.80 CNF conversion : 0.08
% 7.25/2.80 Main loop : 0.59
% 7.25/2.80 Inferencing : 0.00
% 7.25/2.80 Reduction : 0.30
% 7.25/2.80 Demodulation : 0.19
% 7.25/2.80 BG Simplification : 0.10
% 7.25/2.80 Subsumption : 0.20
% 7.25/2.80 Abstraction : 0.02
% 7.25/2.80 MUC search : 0.00
% 7.25/2.80 Cooper : 0.00
% 7.25/2.80 Total : 1.68
% 7.25/2.80 Index Insertion : 0.00
% 7.25/2.80 Index Deletion : 0.00
% 7.25/2.80 Index Matching : 0.00
% 7.25/2.80 BG Taut test : 0.00
%------------------------------------------------------------------------------