TSTP Solution File: SYN216-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN216-1 : 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 : n004.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 11:09:59 EDT 2023
% Result : Unsatisfiable 19.54s 8.39s
% Output : CNFRefutation 19.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 60
% Syntax : Number of formulae : 78 ( 16 unt; 53 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 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 : 34 (; 34 !; 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,
~ l2(a,a),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : m0(a,X,a),
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(c_738,plain,
~ l2(a,a),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_24,plain,
! [X_1] : m0(a,X_1,a),
inference(cnfTransformation,[status(thm)],[f_56]) ).
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_22427,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_1483,plain,
! [I_749] :
( ~ p0(I_749,I_749)
| s1(I_749) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1488,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1483]) ).
tff(c_22431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22427,c_1488]) ).
tff(c_22456,plain,
! [F_3969,G_3970] :
( ~ q0(F_3969,G_3970)
| s1(F_3969) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_22475,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_22456]) ).
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_32399,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_22475,c_342]) ).
tff(c_32401,plain,
! [A_5184] : ~ p0(A_5184,A_5184),
inference(splitLeft,[status(thm)],[c_32399]) ).
tff(c_32406,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_32401]) ).
tff(c_32490,plain,
! [C_5191,B_5192,J_5193] :
( ~ m0(C_5191,B_5192,J_5193)
| l2(J_5193,J_5193) ),
inference(splitRight,[status(thm)],[c_32399]) ).
tff(c_32492,plain,
l2(a,a),
inference(resolution,[status(thm)],[c_24,c_32490]) ).
tff(c_32510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_738,c_32492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN216-1 : 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
% 0.13/0.34 % Computer : n004.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 17:12:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 19.54/8.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.54/8.39
% 19.54/8.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.54/8.42
% 19.54/8.42 Inference rules
% 19.54/8.42 ----------------------
% 19.54/8.42 #Ref : 0
% 19.54/8.42 #Sup : 5361
% 19.54/8.42 #Fact : 0
% 19.54/8.42 #Define : 0
% 19.54/8.42 #Split : 609
% 19.54/8.42 #Chain : 0
% 19.54/8.42 #Close : 0
% 19.54/8.42
% 19.54/8.42 Ordering : KBO
% 19.54/8.42
% 19.54/8.42 Simplification rules
% 19.54/8.42 ----------------------
% 19.54/8.42 #Subsume : 1127
% 19.54/8.42 #Demod : 6619
% 19.54/8.42 #Tautology : 4993
% 19.54/8.42 #SimpNegUnit : 321
% 19.54/8.42 #BackRed : 408
% 19.54/8.42
% 19.54/8.42 #Partial instantiations: 0
% 19.54/8.42 #Strategies tried : 1
% 19.54/8.42
% 19.54/8.42 Timing (in seconds)
% 19.54/8.42 ----------------------
% 19.54/8.42 Preprocessing : 0.95
% 19.54/8.42 Parsing : 0.53
% 19.54/8.42 CNF conversion : 0.08
% 19.54/8.42 Main loop : 6.45
% 19.54/8.42 Inferencing : 2.12
% 19.54/8.42 Reduction : 2.32
% 19.54/8.42 Demodulation : 1.49
% 19.54/8.42 BG Simplification : 0.12
% 19.54/8.42 Subsumption : 1.32
% 19.54/8.42 Abstraction : 0.08
% 19.54/8.42 MUC search : 0.00
% 19.74/8.43 Cooper : 0.00
% 19.74/8.43 Total : 7.45
% 19.74/8.43 Index Insertion : 0.00
% 19.74/8.43 Index Deletion : 0.00
% 19.74/8.43 Index Matching : 0.00
% 19.74/8.43 BG Taut test : 0.00
%------------------------------------------------------------------------------