%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN191-1 : TPTP v9.0.0. 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 : n032.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 : Wed Apr 9 10:02:51 PM UTC 2025
% Result : Unsatisfiable 210.73s 194.93s
% Output : CNFRefutation 210.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 75 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 134 ( 71 ~; 63 |; 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 : 0 ( 0 >; 0 *; 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 : 88 ( 88 !; 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_52,axiom,
r0(b),
file(unknown,unknown) ).
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_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_136,axiom,
! [G,H,I] :
( m1(G,H,G)
| ~ p0(I,H)
| ~ r0(G) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_942,axiom,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file(unknown,unknown) ).
tff(f_1108,axiom,
! [J,A] :
( k2(J,J)
| ~ q1(A,J,J) ),
file(unknown,unknown) ).
tff(f_1092,axiom,
! [C,D,E,F] :
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ),
file(unknown,unknown) ).
tff(f_1863,axiom,
( l3(c,c)
| ~ k2(b,c) ),
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_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_1589,axiom,
! [G] :
( r2(G)
| ~ r1(G)
| ~ l0(G) ),
file(unknown,unknown) ).
tff(f_1799,axiom,
( k3(c,c,c)
| ~ r2(c) ),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
file(unknown,unknown) ).
tff(f_1475,axiom,
! [H] :
( p2(H,H,H)
| ~ n2(H)
| ~ k1(e) ),
file(unknown,unknown) ).
tff(f_2231,axiom,
! [B,C,D] :
( r3(B,C,B)
| ~ p2(B,D,C) ),
file(unknown,unknown) ).
tff(f_2286,axiom,
! [J,A,B] :
( r3(J,A,B)
| ~ k2(A,B)
| ~ r2(B)
| ~ r3(B,J,J) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ r3(c,b,c),
file(unknown,unknown) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_52,plain,
n0(d,c),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1297,plain,
! [J_727,I_728] :
( ~ n0(J_727,I_728)
| k1(I_728) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1329,plain,
k1(c),
inference(resolution,[status(thm)],[c_52,c_1297]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_212185,plain,
! [G_22745,I_22746,H_22747] :
( ~ r0(G_22745)
| ~ p0(I_22746,H_22747)
| m1(G_22745,H_22747,G_22745) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_212191,plain,
! [G_22745,X_2] :
( ~ r0(G_22745)
| m1(G_22745,X_2,G_22745) ),
inference(resolution,[status(thm)],[c_28,c_212185]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_290,plain,
! [A_205] :
( ~ m0(e,d,A_205)
| ~ m0(A_205,d,A_205)
| q1(e,A_205,A_205) ),
inference(cnfTransformation,[status(thm)],[f_942]) ).
tff(c_774,plain,
! [A_205] : q1(e,A_205,A_205),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_38,c_290]) ).
tff(c_188543,plain,
! [A_20219,J_20220] :
( ~ q1(A_20219,J_20220,J_20220)
| k2(J_20220,J_20220) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_188583,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_188543]) ).
tff(c_214158,plain,
! [F_22948,D_22949,E_22950,C_22951] :
( ~ k2(F_22948,D_22949)
| ~ k1(F_22948)
| ~ m1(E_22950,D_22949,C_22951)
| k2(C_22951,D_22949) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_214228,plain,
! [A_22955,E_22956,C_22957] :
( ~ k1(A_22955)
| ~ m1(E_22956,A_22955,C_22957)
| k2(C_22957,A_22955) ),
inference(resolution,[status(thm)],[c_188583,c_214158]) ).
tff(c_214747,plain,
! [X_22984,G_22985] :
( ~ k1(X_22984)
| k2(G_22985,X_22984)
| ~ r0(G_22985) ),
inference(resolution,[status(thm)],[c_212191,c_214228]) ).
tff(c_522,plain,
( ~ k2(b,c)
| l3(c,c) ),
inference(cnfTransformation,[status(thm)],[f_1863]) ).
tff(c_15782,plain,
~ k2(b,c),
inference(splitLeft,[status(thm)],[c_522]) ).
tff(c_214758,plain,
( ~ k1(c)
| ~ r0(b) ),
inference(resolution,[status(thm)],[c_214747,c_15782]) ).
tff(c_214769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_1329,c_214758]) ).
tff(c_214771,plain,
k2(b,c),
inference(splitRight,[status(thm)],[c_522]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_277947,plain,
! [J_29964,A_29965,I_29966] :
( ~ m0(J_29964,A_29965,I_29966)
| q1(I_29966,I_29966,I_29966) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_277966,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_277947]) ).
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_278145,plain,
! [E_30002,D_30003] :
( ~ q1(d,E_30002,d)
| ~ q0(D_30003,E_30002)
| r1(D_30003) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_278151,plain,
! [D_30003] :
( ~ q0(D_30003,d)
| r1(D_30003) ),
inference(resolution,[status(thm)],[c_277966,c_278145]) ).
tff(c_278160,plain,
! [D_30003] : r1(D_30003),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_278151]) ).
tff(c_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_452,plain,
! [G_344] :
( ~ l0(G_344)
| ~ r1(G_344)
| r2(G_344) ),
inference(cnfTransformation,[status(thm)],[f_1589]) ).
tff(c_504,plain,
( ~ r2(c)
| k3(c,c,c) ),
inference(cnfTransformation,[status(thm)],[f_1799]) ).
tff(c_277318,plain,
~ r2(c),
inference(splitLeft,[status(thm)],[c_504]) ).
tff(c_277321,plain,
( ~ l0(c)
| ~ r1(c) ),
inference(resolution,[status(thm)],[c_452,c_277318]) ).
tff(c_277324,plain,
~ r1(c),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_277321]) ).
tff(c_278169,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_278160,c_277324]) ).
tff(c_278171,plain,
r2(c),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_627313,plain,
! [C_64090,B_64091] :
( ~ p0(C_64090,B_64091)
| p1(B_64091,B_64091,B_64091) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_627332,plain,
! [X_64092] : p1(X_64092,X_64092,X_64092),
inference(resolution,[status(thm)],[c_28,c_627313]) ).
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_627336,plain,
! [X_64092] : n2(X_64092),
inference(resolution,[status(thm)],[c_627332,c_350]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1332,plain,
k1(e),
inference(resolution,[status(thm)],[c_6,c_1297]) ).
tff(c_424,plain,
! [H_315] :
( ~ k1(e)
| ~ n2(H_315)
| p2(H_315,H_315,H_315) ),
inference(cnfTransformation,[status(thm)],[f_1475]) ).
tff(c_660182,plain,
! [H_68001] : p2(H_68001,H_68001,H_68001),
inference(demodulation,[status(thm),theory(equality)],[c_627336,c_1332,c_424]) ).
tff(c_610,plain,
! [B_491,D_493,C_492] :
( ~ p2(B_491,D_493,C_492)
| r3(B_491,C_492,B_491) ),
inference(cnfTransformation,[status(thm)],[f_2231]) ).
tff(c_660188,plain,
! [H_68001] : r3(H_68001,H_68001,H_68001),
inference(resolution,[status(thm)],[c_660182,c_610]) ).
tff(c_694578,plain,
! [B_70958,J_70959,A_70960] :
( ~ r3(B_70958,J_70959,J_70959)
| ~ r2(B_70958)
| ~ k2(A_70960,B_70958)
| r3(J_70959,A_70960,B_70958) ),
inference(cnfTransformation,[status(thm)],[f_2286]) ).
tff(c_697352,plain,
! [H_71146,A_71147] :
( ~ r2(H_71146)
| ~ k2(A_71147,H_71146)
| r3(H_71146,A_71147,H_71146) ),
inference(resolution,[status(thm)],[c_660188,c_694578]) ).
tff(c_738,plain,
~ r3(c,b,c),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_697367,plain,
( ~ r2(c)
| ~ k2(b,c) ),
inference(resolution,[status(thm)],[c_697352,c_738]) ).
tff(c_697381,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214771,c_278171,c_697367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN191-1 : TPTP v9.0.0. Released v1.1.0.
% 0.08/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Wed Apr 9 07:05:00 EDT 2025
% 0.10/0.30 % CPUTime :
% 210.73/194.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 210.73/194.94
% 210.73/194.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------