TSTP Solution File: SYN202-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN202-1 : 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 : n005.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 11:09:55 EDT 2023
% Result : Unsatisfiable 116.81s 99.74s
% Output : CNFRefutation 116.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 67
% Syntax : Number of formulae : 98 ( 22 unt; 53 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 82 ( 43 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 61 (; 61 !; 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_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_1044,axiom,
! [I,J,A] :
( q1(I,I,I)
| ~ m0(J,A,I) ),
file(unknown,unknown) ).
tff(f_44,axiom,
s0(d),
file(unknown,unknown) ).
tff(f_1068,axiom,
! [D,E] :
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1524,axiom,
! [I] :
( q2(I,I,I)
| ~ p1(I,I,I) ),
file(unknown,unknown) ).
tff(f_1581,axiom,
! [C,D,E,F] :
( q2(C,D,C)
| ~ r1(D)
| ~ m0(E,F,C)
| ~ k0(D)
| ~ q2(D,D,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_1597,axiom,
! [H] :
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ s2(e),
file(unknown,unknown) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_462999,plain,
! [J_49281,A_49282,I_49283] :
( ~ m0(J_49281,A_49282,I_49283)
| q1(I_49283,I_49283,I_49283) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_463022,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_462999]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_324,plain,
! [E_232,D_231] :
( ~ q1(d,E_232,d)
| ~ s0(d)
| ~ q0(D_231,E_232)
| r1(D_231) ),
inference(cnfTransformation,[status(thm)],[f_1068]) ).
tff(c_464934,plain,
! [E_49542,D_49543] :
( ~ q1(d,E_49542,d)
| ~ q0(D_49543,E_49542)
| r1(D_49543) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_464937,plain,
! [D_49543] :
( ~ q0(D_49543,d)
| r1(D_49543) ),
inference(resolution,[status(thm)],[c_463022,c_464934]) ).
tff(c_464943,plain,
! [D_49543] : r1(D_49543),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_464937]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_395682,plain,
! [C_43013,B_43014] :
( ~ p0(C_43013,B_43014)
| p1(B_43014,B_43014,B_43014) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_395687,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_395682]) ).
tff(c_438,plain,
! [I_327] :
( ~ p1(I_327,I_327,I_327)
| q2(I_327,I_327,I_327) ),
inference(cnfTransformation,[status(thm)],[f_1524]) ).
tff(c_463071,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_395687,c_438]) ).
tff(c_450,plain,
! [D_341,E_342,F_343,C_340] :
( ~ q2(D_341,D_341,D_341)
| ~ k0(D_341)
| ~ m0(E_342,F_343,C_340)
| ~ r1(D_341)
| q2(C_340,D_341,C_340) ),
inference(cnfTransformation,[status(thm)],[f_1581]) ).
tff(c_512712,plain,
! [D_53349,E_53350,F_53351,C_53352] :
( ~ k0(D_53349)
| ~ m0(E_53350,F_53351,C_53352)
| q2(C_53352,D_53349,C_53352) ),
inference(demodulation,[status(thm),theory(equality)],[c_464943,c_463071,c_450]) ).
tff(c_512804,plain,
! [D_53359,Y_53360] :
( ~ k0(D_53359)
| q2(Y_53360,D_53359,Y_53360) ),
inference(resolution,[status(thm)],[c_38,c_512712]) ).
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_309424,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_1462,plain,
! [I_749] :
( ~ p0(I_749,I_749)
| s1(I_749) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1467,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1462]) ).
tff(c_309428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309424,c_1467]) ).
tff(c_309430,plain,
! [F_34596,G_34597] :
( ~ q0(F_34596,G_34597)
| s1(F_34596) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_309449,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_309430]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_451012,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_309449,c_454]) ).
tff(c_512831,plain,
! [D_53361] :
( s2(D_53361)
| ~ k0(D_53361) ),
inference(resolution,[status(thm)],[c_512804,c_451012]) ).
tff(c_738,plain,
~ s2(e),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_512837,plain,
~ k0(e),
inference(resolution,[status(thm)],[c_512831,c_738]) ).
tff(c_512842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_512837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN202-1 : 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:11:11 EDT 2023
% 0.15/0.36 % CPUTime :
% 116.81/99.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.81/99.75
% 116.81/99.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 116.86/99.78
% 116.86/99.78 Inference rules
% 116.86/99.78 ----------------------
% 116.86/99.78 #Ref : 0
% 116.86/99.78 #Sup : 92124
% 116.86/99.78 #Fact : 0
% 116.86/99.78 #Define : 0
% 116.86/99.78 #Split : 8151
% 116.86/99.78 #Chain : 0
% 116.86/99.78 #Close : 0
% 116.86/99.78
% 116.86/99.78 Ordering : KBO
% 116.86/99.78
% 116.86/99.78 Simplification rules
% 116.86/99.78 ----------------------
% 116.86/99.78 #Subsume : 28171
% 116.86/99.78 #Demod : 92803
% 116.86/99.78 #Tautology : 54061
% 116.86/99.78 #SimpNegUnit : 6961
% 116.86/99.78 #BackRed : 7249
% 116.86/99.78
% 116.86/99.78 #Partial instantiations: 0
% 116.86/99.78 #Strategies tried : 1
% 116.86/99.78
% 116.86/99.78 Timing (in seconds)
% 116.86/99.78 ----------------------
% 116.86/99.79 Preprocessing : 1.02
% 116.86/99.79 Parsing : 0.58
% 116.86/99.79 CNF conversion : 0.09
% 116.86/99.79 Main loop : 97.70
% 116.86/99.79 Inferencing : 26.89
% 116.86/99.79 Reduction : 41.71
% 116.86/99.79 Demodulation : 29.46
% 116.86/99.79 BG Simplification : 0.36
% 116.86/99.79 Subsumption : 22.02
% 116.86/99.79 Abstraction : 0.81
% 116.86/99.79 MUC search : 0.00
% 116.86/99.79 Cooper : 0.00
% 116.86/99.79 Total : 98.77
% 116.86/99.79 Index Insertion : 0.00
% 116.86/99.79 Index Deletion : 0.00
% 116.86/99.79 Index Matching : 0.00
% 116.86/99.79 BG Taut test : 0.00
%------------------------------------------------------------------------------