TSTP Solution File: SYN285-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN285-1 : 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 : n028.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 11:10:18 EDT 2023
% Result : Unsatisfiable 18.00s 7.24s
% Output : CNFRefutation 18.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 67
% Syntax : Number of formulae : 99 ( 29 unt; 53 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 40 ~; 34 |; 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 : 30 (; 30 !; 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_67,axiom,
l0(a),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_84,axiom,
n0(b,a),
file(unknown,unknown) ).
tff(f_348,axiom,
! [A,B] :
( m1(A,B,B)
| ~ k1(a)
| ~ k1(B)
| ~ q0(A,A) ),
file(unknown,unknown) ).
tff(f_68,axiom,
q0(b,e),
file(unknown,unknown) ).
tff(f_79,axiom,
k0(b),
file(unknown,unknown) ).
tff(f_569,axiom,
( n1(d,d,b)
| ~ q0(b,e)
| ~ m1(d,e,e)
| ~ k0(b) ),
file(unknown,unknown) ).
tff(f_992,axiom,
! [H,I,J] :
( q1(H,H,I)
| ~ r0(J)
| ~ m1(H,I,I) ),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
tff(f_878,axiom,
! [E,F,G] :
( q1(E,F,F)
| ~ k0(G)
| ~ l0(E)
| ~ q1(F,F,G) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ q1(a,d,d),
file(unknown,unknown) ).
tff(c_40,plain,
l0(a),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1480,plain,
! [J_741,I_742] :
( ~ n0(J_741,I_742)
| k1(I_742) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1515,plain,
k1(e),
inference(resolution,[status(thm)],[c_6,c_1480]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1508,plain,
k1(a),
inference(resolution,[status(thm)],[c_74,c_1480]) ).
tff(c_144,plain,
! [A_67,B_68] :
( ~ q0(A_67,A_67)
| ~ k1(B_68)
| ~ k1(a)
| m1(A_67,B_68,B_68) ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_19792,plain,
! [A_3289,B_3290] :
( ~ q0(A_3289,A_3289)
| ~ k1(B_3290)
| m1(A_3289,B_3290,B_3290) ),
inference(demodulation,[status(thm),theory(equality)],[c_1508,c_144]) ).
tff(c_19804,plain,
! [B_3291] :
( ~ k1(B_3291)
| m1(d,B_3291,B_3291) ),
inference(resolution,[status(thm)],[c_34,c_19792]) ).
tff(c_42,plain,
q0(b,e),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_196,plain,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
inference(cnfTransformation,[status(thm)],[f_569]) ).
tff(c_748,plain,
( ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_196]) ).
tff(c_766,plain,
( ~ m1(d,e,e)
| n1(d,d,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_748]) ).
tff(c_17037,plain,
~ m1(d,e,e),
inference(splitLeft,[status(thm)],[c_766]) ).
tff(c_19811,plain,
~ k1(e),
inference(resolution,[status(thm)],[c_19804,c_17037]) ).
tff(c_19820,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1515,c_19811]) ).
tff(c_19822,plain,
m1(d,e,e),
inference(splitRight,[status(thm)],[c_766]) ).
tff(c_302,plain,
! [H_216,I_217,J_218] :
( ~ m1(H_216,I_217,I_217)
| ~ r0(J_218)
| q1(H_216,H_216,I_217) ),
inference(cnfTransformation,[status(thm)],[f_992]) ).
tff(c_21850,plain,
! [J_218] : ~ r0(J_218),
inference(splitLeft,[status(thm)],[c_302]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_21853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21850,c_18]) ).
tff(c_21865,plain,
! [H_3544,I_3545] :
( ~ m1(H_3544,I_3545,I_3545)
| q1(H_3544,H_3544,I_3545) ),
inference(splitRight,[status(thm)],[c_302]) ).
tff(c_21897,plain,
q1(d,d,e),
inference(resolution,[status(thm)],[c_19822,c_21865]) ).
tff(c_22570,plain,
! [F_3609,G_3610,E_3611] :
( ~ q1(F_3609,F_3609,G_3610)
| ~ l0(E_3611)
| ~ k0(G_3610)
| q1(E_3611,F_3609,F_3609) ),
inference(cnfTransformation,[status(thm)],[f_878]) ).
tff(c_22580,plain,
! [E_3611] :
( ~ l0(E_3611)
| ~ k0(e)
| q1(E_3611,d,d) ),
inference(resolution,[status(thm)],[c_21897,c_22570]) ).
tff(c_22664,plain,
! [E_3614] :
( ~ l0(E_3614)
| q1(E_3614,d,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_22580]) ).
tff(c_738,plain,
~ q1(a,d,d),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_22674,plain,
~ l0(a),
inference(resolution,[status(thm)],[c_22664,c_738]) ).
tff(c_22682,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40,c_22674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN285-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:29:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.00/7.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.00/7.25
% 18.00/7.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.00/7.28
% 18.00/7.28 Inference rules
% 18.00/7.28 ----------------------
% 18.00/7.28 #Ref : 0
% 18.00/7.28 #Sup : 3802
% 18.00/7.28 #Fact : 0
% 18.00/7.28 #Define : 0
% 18.00/7.28 #Split : 418
% 18.00/7.28 #Chain : 0
% 18.00/7.28 #Close : 0
% 18.00/7.28
% 18.00/7.28 Ordering : KBO
% 18.00/7.28
% 18.00/7.28 Simplification rules
% 18.00/7.28 ----------------------
% 18.00/7.28 #Subsume : 741
% 18.00/7.28 #Demod : 4503
% 18.00/7.28 #Tautology : 3416
% 18.00/7.28 #SimpNegUnit : 240
% 18.00/7.28 #BackRed : 336
% 18.00/7.28
% 18.00/7.28 #Partial instantiations: 0
% 18.00/7.28 #Strategies tried : 1
% 18.00/7.28
% 18.00/7.28 Timing (in seconds)
% 18.00/7.28 ----------------------
% 18.00/7.29 Preprocessing : 1.11
% 18.00/7.29 Parsing : 0.60
% 18.00/7.29 CNF conversion : 0.10
% 18.00/7.29 Main loop : 5.11
% 18.00/7.29 Inferencing : 1.65
% 18.00/7.29 Reduction : 1.88
% 18.00/7.29 Demodulation : 1.22
% 18.00/7.29 BG Simplification : 0.13
% 18.00/7.29 Subsumption : 0.98
% 18.00/7.29 Abstraction : 0.07
% 18.00/7.29 MUC search : 0.00
% 18.00/7.29 Cooper : 0.00
% 18.00/7.29 Total : 6.27
% 18.00/7.29 Index Insertion : 0.00
% 18.00/7.29 Index Deletion : 0.00
% 18.00/7.29 Index Matching : 0.00
% 18.00/7.29 BG Taut test : 0.00
%------------------------------------------------------------------------------