TSTP Solution File: SYN166-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN166-1 : 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 : n027.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 25.56s 12.85s
% Output : CNFRefutation 25.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 61
% Syntax : Number of formulae : 78 ( 15 unt; 53 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 18 (; 18 !; 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_85,axiom,
m0(b,a,a),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : m0(a,X,a),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
tff(f_67,axiom,
l0(a),
file(unknown,unknown) ).
tff(f_780,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file(unknown,unknown) ).
tff(f_776,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file(unknown,unknown) ).
tff(f_740,axiom,
! [H,I,J,A] :
( p1(H,I,J)
| ~ m0(J,H,A)
| ~ p1(J,H,A) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ p1(a,b,b),
file(unknown,unknown) ).
tff(c_76,plain,
m0(b,a,a),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_24,plain,
! [X_1] : m0(a,X_1,a),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_40,plain,
l0(a),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_252,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_768,plain,
p1(a,a,a),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_252]) ).
tff(c_250,plain,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ),
inference(cnfTransformation,[status(thm)],[f_776]) ).
tff(c_772,plain,
( ~ r0(b)
| p1(a,b,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_768,c_250]) ).
tff(c_809,plain,
p1(a,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_772]) ).
tff(c_54962,plain,
! [J_7676,H_7677,A_7678,I_7679] :
( ~ p1(J_7676,H_7677,A_7678)
| ~ m0(J_7676,H_7677,A_7678)
| p1(H_7677,I_7679,J_7676) ),
inference(cnfTransformation,[status(thm)],[f_740]) ).
tff(c_54978,plain,
! [I_7679] :
( ~ m0(a,b,a)
| p1(b,I_7679,a) ),
inference(resolution,[status(thm)],[c_809,c_54962]) ).
tff(c_54989,plain,
! [I_7680] : p1(b,I_7680,a),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_54978]) ).
tff(c_240,plain,
! [J_156,H_154,A_157,I_155] :
( ~ p1(J_156,H_154,A_157)
| ~ m0(J_156,H_154,A_157)
| p1(H_154,I_155,J_156) ),
inference(cnfTransformation,[status(thm)],[f_740]) ).
tff(c_55146,plain,
! [I_7693,I_7694] :
( ~ m0(b,I_7693,a)
| p1(I_7693,I_7694,b) ),
inference(resolution,[status(thm)],[c_54989,c_240]) ).
tff(c_738,plain,
~ p1(a,b,b),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_55153,plain,
~ m0(b,a,a),
inference(resolution,[status(thm)],[c_55146,c_738]) ).
tff(c_55159,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_55153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN166-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:47:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 25.56/12.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.56/12.85
% 25.56/12.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.72/12.88
% 25.72/12.88 Inference rules
% 25.72/12.88 ----------------------
% 25.72/12.88 #Ref : 0
% 25.72/12.88 #Sup : 9453
% 25.72/12.88 #Fact : 0
% 25.72/12.88 #Define : 0
% 25.72/12.88 #Split : 983
% 25.72/12.88 #Chain : 0
% 25.72/12.88 #Close : 0
% 25.72/12.88
% 25.72/12.88 Ordering : KBO
% 25.72/12.88
% 25.72/12.88 Simplification rules
% 25.72/12.88 ----------------------
% 25.72/12.88 #Subsume : 2111
% 25.72/12.88 #Demod : 10922
% 25.72/12.88 #Tautology : 7845
% 25.72/12.88 #SimpNegUnit : 613
% 25.72/12.88 #BackRed : 759
% 25.72/12.88
% 25.72/12.88 #Partial instantiations: 0
% 25.72/12.88 #Strategies tried : 1
% 25.72/12.88
% 25.72/12.88 Timing (in seconds)
% 25.72/12.88 ----------------------
% 25.72/12.89 Preprocessing : 1.00
% 25.72/12.89 Parsing : 0.57
% 25.72/12.89 CNF conversion : 0.08
% 25.72/12.89 Main loop : 10.81
% 25.72/12.89 Inferencing : 3.51
% 25.72/12.89 Reduction : 4.01
% 25.72/12.89 Demodulation : 2.61
% 25.72/12.89 BG Simplification : 0.14
% 25.72/12.89 Subsumption : 2.22
% 25.72/12.89 Abstraction : 0.11
% 25.72/12.89 MUC search : 0.00
% 25.72/12.89 Cooper : 0.00
% 25.72/12.89 Total : 11.87
% 25.72/12.89 Index Insertion : 0.00
% 25.72/12.89 Index Deletion : 0.00
% 25.72/12.89 Index Matching : 0.00
% 25.72/12.89 BG Taut test : 0.00
%------------------------------------------------------------------------------