TSTP Solution File: SYN162-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN162-1 : 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 : 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 11:09:48 EDT 2023
% Result : Unsatisfiable 15.89s 5.84s
% Output : CNFRefutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 65
% Syntax : Number of formulae : 91 ( 19 unt; 53 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 32 ~; 26 |; 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 : 62 (; 62 !; 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_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_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_269,axiom,
! [C,D,E] :
( m1(C,C,C)
| ~ m0(D,E,C) ),
file(unknown,unknown) ).
tff(f_1485,axiom,
! [D,E] :
( p2(D,E,D)
| ~ m1(E,D,E) ),
file(unknown,unknown) ).
tff(f_2007,axiom,
! [D,E,F] :
( n3(D)
| ~ p2(E,F,D) ),
file(unknown,unknown) ).
tff(f_2514,axiom,
! [G,H,I,J] :
( r4(G)
| ~ n3(G)
| ~ q3(H,I)
| ~ p0(J,G) ),
file(unknown,unknown) ).
tff(f_2129,axiom,
! [G,H,I] :
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_2633,axiom,
! [B] :
( n5(B,B)
| ~ r4(B) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ n5(c,c),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_13018,plain,
! [C_2337,B_2338] :
( ~ p0(C_2337,B_2338)
| p1(B_2338,B_2338,B_2338) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_13025,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_13018]) ).
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_13293,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_13025,c_438]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_13339,plain,
! [D_2379,E_2380,C_2381] :
( ~ m0(D_2379,E_2380,C_2381)
| m1(C_2381,C_2381,C_2381) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_13382,plain,
! [Y_2384] : m1(Y_2384,Y_2384,Y_2384),
inference(resolution,[status(thm)],[c_38,c_13339]) ).
tff(c_428,plain,
! [E_319,D_318] :
( ~ m1(E_319,D_318,E_319)
| p2(D_318,E_319,D_318) ),
inference(cnfTransformation,[status(thm)],[f_1485]) ).
tff(c_13395,plain,
! [Y_2385] : p2(Y_2385,Y_2385,Y_2385),
inference(resolution,[status(thm)],[c_13382,c_428]) ).
tff(c_556,plain,
! [E_432,F_433,D_431] :
( ~ p2(E_432,F_433,D_431)
| n3(D_431) ),
inference(cnfTransformation,[status(thm)],[f_2007]) ).
tff(c_13402,plain,
! [Y_2385] : n3(Y_2385),
inference(resolution,[status(thm)],[c_13395,c_556]) ).
tff(c_672,plain,
! [J_567,G_564,H_565,I_566] :
( ~ p0(J_567,G_564)
| ~ q3(H_565,I_566)
| ~ n3(G_564)
| r4(G_564) ),
inference(cnfTransformation,[status(thm)],[f_2514]) ).
tff(c_15264,plain,
! [J_567,G_564,H_565,I_566] :
( ~ p0(J_567,G_564)
| ~ q3(H_565,I_566)
| r4(G_564) ),
inference(demodulation,[status(thm),theory(equality)],[c_13402,c_672]) ).
tff(c_15265,plain,
! [H_565,I_566] : ~ q3(H_565,I_566),
inference(splitLeft,[status(thm)],[c_15264]) ).
tff(c_586,plain,
! [I_466,G_464,H_465] :
( ~ n0(I_466,G_464)
| ~ q2(I_466,G_464,H_465)
| q3(G_464,H_465) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_15481,plain,
! [I_2679,G_2680,H_2681] :
( ~ n0(I_2679,G_2680)
| ~ q2(I_2679,G_2680,H_2681) ),
inference(negUnitSimplification,[status(thm)],[c_15265,c_586]) ).
tff(c_15496,plain,
! [I_327] : ~ n0(I_327,I_327),
inference(resolution,[status(thm)],[c_13293,c_15481]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_15506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15496,c_60]) ).
tff(c_15649,plain,
! [J_2698,G_2699] :
( ~ p0(J_2698,G_2699)
| r4(G_2699) ),
inference(splitRight,[status(thm)],[c_15264]) ).
tff(c_15657,plain,
! [X_2] : r4(X_2),
inference(resolution,[status(thm)],[c_28,c_15649]) ).
tff(c_1166,plain,
! [B_714] :
( ~ r4(B_714)
| n5(B_714,B_714) ),
inference(cnfTransformation,[status(thm)],[f_2633]) ).
tff(c_738,plain,
~ n5(c,c),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_1170,plain,
~ r4(c),
inference(resolution,[status(thm)],[c_1166,c_738]) ).
tff(c_15671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15657,c_1170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN162-1 : 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
% 0.15/0.36 % 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 17:14:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 15.89/5.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.89/5.85
% 15.89/5.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.89/5.88
% 15.89/5.88 Inference rules
% 15.89/5.88 ----------------------
% 15.89/5.88 #Ref : 0
% 15.89/5.88 #Sup : 2576
% 15.89/5.88 #Fact : 0
% 15.89/5.88 #Define : 0
% 15.89/5.88 #Split : 291
% 15.89/5.88 #Chain : 0
% 15.89/5.88 #Close : 0
% 15.89/5.88
% 15.89/5.88 Ordering : KBO
% 15.89/5.88
% 15.89/5.88 Simplification rules
% 15.89/5.88 ----------------------
% 15.89/5.88 #Subsume : 465
% 15.89/5.88 #Demod : 3068
% 15.89/5.88 #Tautology : 2471
% 15.89/5.88 #SimpNegUnit : 170
% 15.89/5.88 #BackRed : 231
% 15.89/5.88
% 15.89/5.88 #Partial instantiations: 0
% 15.89/5.88 #Strategies tried : 1
% 15.89/5.88
% 15.89/5.88 Timing (in seconds)
% 15.89/5.88 ----------------------
% 15.89/5.88 Preprocessing : 1.02
% 15.89/5.88 Parsing : 0.59
% 15.89/5.88 CNF conversion : 0.08
% 15.89/5.88 Main loop : 3.80
% 15.89/5.88 Inferencing : 1.24
% 15.89/5.88 Reduction : 1.34
% 15.89/5.88 Demodulation : 0.86
% 15.89/5.88 BG Simplification : 0.12
% 15.89/5.88 Subsumption : 0.71
% 15.89/5.89 Abstraction : 0.06
% 15.89/5.89 MUC search : 0.00
% 15.89/5.89 Cooper : 0.00
% 15.89/5.89 Total : 4.87
% 15.89/5.89 Index Insertion : 0.00
% 15.89/5.89 Index Deletion : 0.00
% 15.89/5.89 Index Matching : 0.00
% 15.89/5.89 BG Taut test : 0.00
%------------------------------------------------------------------------------