TSTP Solution File: SYN214-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN214-1 : 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 : n020.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 12.94s 4.51s
% Output : CNFRefutation 13.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 74
% Syntax : Number of formulae : 120 ( 30 unt; 53 typ; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 116 ( 62 ~; 54 |; 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 : 95 (; 95 !; 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_73,axiom,
n0(d,c),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_710,axiom,
! [A] :
( p1(A,A,A)
| ~ k0(e)
| ~ k1(A)
| ~ l0(c) ),
file(unknown,unknown) ).
tff(f_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_2042,axiom,
! [H] :
( p3(H,H,H)
| ~ n2(H) ),
file(unknown,unknown) ).
tff(f_2334,axiom,
! [J,A,B] :
( l4(J)
| ~ p3(A,B,J) ),
file(unknown,unknown) ).
tff(f_2746,axiom,
! [H,I] :
( s5(H)
| ~ l4(H)
| ~ r4(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_1287,axiom,
! [F,G] :
( p2(F,F,F)
| ~ m1(G,G,F) ),
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_46,axiom,
n0(d,e),
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_1493,axiom,
! [E,F] :
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ),
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_64,axiom,
p0(c,b),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ s5(c),
file(unknown,unknown) ).
tff(c_52,plain,
n0(d,c),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1132,plain,
! [J_710,I_711] :
( ~ n0(J_710,I_711)
| k1(I_711) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1163,plain,
k1(c),
inference(resolution,[status(thm)],[c_52,c_1132]) ).
tff(c_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_234,plain,
! [A_144] :
( ~ l0(c)
| ~ k1(A_144)
| ~ k0(e)
| p1(A_144,A_144,A_144) ),
inference(cnfTransformation,[status(thm)],[f_710]) ).
tff(c_750,plain,
! [A_144] :
( ~ l0(c)
| ~ k1(A_144)
| p1(A_144,A_144,A_144) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_234]) ).
tff(c_1263,plain,
! [A_737] :
( ~ k1(A_737)
| p1(A_737,A_737,A_737) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_750]) ).
tff(c_350,plain,
! [B_257,C_258,A_256] :
( ~ p1(B_257,C_258,A_256)
| n2(A_256) ),
inference(cnfTransformation,[status(thm)],[f_1169]) ).
tff(c_1267,plain,
! [A_737] :
( n2(A_737)
| ~ k1(A_737) ),
inference(resolution,[status(thm)],[c_1263,c_350]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_9072,plain,
! [A_1844,B_1845,J_1846] :
( ~ p3(A_1844,B_1845,J_1846)
| l4(J_1846) ),
inference(cnfTransformation,[status(thm)],[f_2334]) ).
tff(c_9077,plain,
! [H_1847] :
( l4(H_1847)
| ~ n2(H_1847) ),
inference(resolution,[status(thm)],[c_564,c_9072]) ).
tff(c_9091,plain,
! [A_1849] :
( l4(A_1849)
| ~ k1(A_1849) ),
inference(resolution,[status(thm)],[c_1267,c_9077]) ).
tff(c_734,plain,
! [I_623,H_622] :
( ~ r4(I_623)
| ~ l4(H_622)
| s5(H_622) ),
inference(cnfTransformation,[status(thm)],[f_2746]) ).
tff(c_3988,plain,
! [I_623] : ~ r4(I_623),
inference(splitLeft,[status(thm)],[c_734]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_7392,plain,
! [D_1616,E_1617,C_1618] :
( ~ m0(D_1616,E_1617,C_1618)
| m1(C_1618,C_1618,C_1618) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_7431,plain,
! [Y_1619] : m1(Y_1619,Y_1619,Y_1619),
inference(resolution,[status(thm)],[c_38,c_7392]) ).
tff(c_376,plain,
! [G_277,F_276] :
( ~ m1(G_277,G_277,F_276)
| p2(F_276,F_276,F_276) ),
inference(cnfTransformation,[status(thm)],[f_1287]) ).
tff(c_7451,plain,
! [Y_1620] : p2(Y_1620,Y_1620,Y_1620),
inference(resolution,[status(thm)],[c_7431,c_376]) ).
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_7460,plain,
! [Y_1620] : n3(Y_1620),
inference(resolution,[status(thm)],[c_7451,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_9045,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_7460,c_672]) ).
tff(c_9046,plain,
! [J_567,G_564,H_565,I_566] :
( ~ p0(J_567,G_564)
| ~ q3(H_565,I_566) ),
inference(negUnitSimplification,[status(thm)],[c_3988,c_9045]) ).
tff(c_9047,plain,
! [H_565,I_566] : ~ q3(H_565,I_566),
inference(splitLeft,[status(thm)],[c_9046]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_5748,plain,
! [C_1393,B_1394] :
( ~ p0(C_1393,B_1394)
| p1(B_1394,B_1394,B_1394) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_5755,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_5748]) ).
tff(c_430,plain,
! [E_320,F_321] :
( ~ p1(E_320,E_320,E_320)
| ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(cnfTransformation,[status(thm)],[f_1493]) ).
tff(c_8298,plain,
! [F_321,E_320] :
( ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_5755,c_430]) ).
tff(c_8479,plain,
! [I_1783,G_1784,H_1785] :
( ~ n0(I_1783,G_1784)
| ~ q2(I_1783,G_1784,H_1785)
| q3(G_1784,H_1785) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_8665,plain,
! [E_1810,F_1811] :
( ~ n0(E_1810,F_1811)
| q3(F_1811,F_1811)
| ~ k0(F_1811) ),
inference(resolution,[status(thm)],[c_8298,c_8479]) ).
tff(c_8681,plain,
( q3(e,e)
| ~ k0(e) ),
inference(resolution,[status(thm)],[c_6,c_8665]) ).
tff(c_8699,plain,
q3(e,e),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_8681]) ).
tff(c_9054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9047,c_8699]) ).
tff(c_9055,plain,
! [J_567,G_564] : ~ p0(J_567,G_564),
inference(splitRight,[status(thm)],[c_9046]) ).
tff(c_36,plain,
p0(c,b),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_9058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9055,c_36]) ).
tff(c_9060,plain,
! [H_1843] :
( ~ l4(H_1843)
| s5(H_1843) ),
inference(splitRight,[status(thm)],[c_734]) ).
tff(c_738,plain,
~ s5(c),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_9064,plain,
~ l4(c),
inference(resolution,[status(thm)],[c_9060,c_738]) ).
tff(c_9094,plain,
~ k1(c),
inference(resolution,[status(thm)],[c_9091,c_9064]) ).
tff(c_9098,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1163,c_9094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN214-1 : 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:07:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 12.94/4.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.94/4.52
% 12.94/4.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.09/4.56
% 13.09/4.56 Inference rules
% 13.09/4.56 ----------------------
% 13.09/4.56 #Ref : 0
% 13.09/4.56 #Sup : 1427
% 13.09/4.56 #Fact : 0
% 13.09/4.56 #Define : 0
% 13.09/4.56 #Split : 169
% 13.09/4.56 #Chain : 0
% 13.09/4.56 #Close : 0
% 13.09/4.56
% 13.09/4.56 Ordering : KBO
% 13.09/4.56
% 13.09/4.56 Simplification rules
% 13.09/4.56 ----------------------
% 13.09/4.56 #Subsume : 187
% 13.09/4.56 #Demod : 1804
% 13.09/4.56 #Tautology : 1496
% 13.09/4.56 #SimpNegUnit : 81
% 13.09/4.56 #BackRed : 113
% 13.09/4.56
% 13.09/4.56 #Partial instantiations: 0
% 13.09/4.56 #Strategies tried : 1
% 13.09/4.56
% 13.09/4.56 Timing (in seconds)
% 13.09/4.56 ----------------------
% 13.09/4.56 Preprocessing : 0.98
% 13.09/4.56 Parsing : 0.56
% 13.09/4.56 CNF conversion : 0.08
% 13.09/4.56 Main loop : 2.50
% 13.09/4.56 Inferencing : 0.77
% 13.09/4.56 Reduction : 0.90
% 13.09/4.56 Demodulation : 0.58
% 13.09/4.56 BG Simplification : 0.11
% 13.09/4.56 Subsumption : 0.48
% 13.09/4.56 Abstraction : 0.04
% 13.09/4.56 MUC search : 0.00
% 13.09/4.56 Cooper : 0.00
% 13.09/4.56 Total : 3.55
% 13.09/4.56 Index Insertion : 0.00
% 13.09/4.56 Index Deletion : 0.00
% 13.09/4.56 Index Matching : 0.00
% 13.09/4.57 BG Taut test : 0.00
%------------------------------------------------------------------------------