%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN138-1 : 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 : n006.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 10:02:43 PM UTC 2025
% Result : Unsatisfiable 92.70s 77.16s
% Output : CNFRefutation 92.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 90 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 163 ( 87 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 91 ( 91 !; 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_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_242,axiom,
! [I,J] :
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ),
file(unknown,unknown) ).
tff(f_1164,axiom,
( m2(b)
| ~ k1(b) ),
file(unknown,unknown) ).
tff(f_60,axiom,
n0(a,b),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
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_748,axiom,
! [F,G] :
( p1(F,b,G)
| ~ m1(F,G,b)
| ~ k0(G) ),
file(unknown,unknown) ).
tff(f_57,axiom,
r0(e),
file(unknown,unknown) ).
tff(f_1248,axiom,
! [G,H] :
( p2(e,G,H)
| ~ r0(e)
| ~ p1(G,H,e) ),
file(unknown,unknown) ).
tff(f_1733,axiom,
! [C,D] :
( k3(C,D,C)
| ~ p2(D,C,C) ),
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_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_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_1948,axiom,
! [H,I] :
( m3(H,I,H)
| ~ r2(H)
| ~ k2(c,I) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ m3(c,e,c),
file(unknown,unknown) ).
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_118,plain,
! [J_50,I_49] :
( ~ k0(J_50)
| ~ l0(I_49)
| m1(I_49,J_50,I_49) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_348,plain,
( ~ k1(b)
| m2(b) ),
inference(cnfTransformation,[status(thm)],[f_1164]) ).
tff(c_842,plain,
~ k1(b),
inference(splitLeft,[status(thm)],[c_348]) ).
tff(c_30,plain,
n0(a,b),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_859,plain,
! [J_639,I_640] :
( ~ n0(J_639,I_640)
| k1(I_640) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_862,plain,
k1(b),
inference(resolution,[status(thm)],[c_30,c_859]) ).
tff(c_887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_842,c_862]) ).
tff(c_889,plain,
k1(b),
inference(splitRight,[status(thm)],[c_348]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1297,plain,
! [J_727,I_728] :
( ~ n0(J_727,I_728)
| k1(I_728) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1332,plain,
k1(e),
inference(resolution,[status(thm)],[c_6,c_1297]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_286060,plain,
! [G_30961,I_30962,H_30963] :
( ~ r0(G_30961)
| ~ p0(I_30962,H_30963)
| m1(G_30961,H_30963,G_30961) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_286066,plain,
! [G_30961,X_2] :
( ~ r0(G_30961)
| m1(G_30961,X_2,G_30961) ),
inference(resolution,[status(thm)],[c_28,c_286060]) ).
tff(c_287123,plain,
! [G_31084,F_31085] :
( ~ k0(G_31084)
| ~ m1(F_31085,G_31084,b)
| p1(F_31085,b,G_31084) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_26,plain,
r0(e),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_366,plain,
! [G_265,H_266] :
( ~ p1(G_265,H_266,e)
| ~ r0(e)
| p2(e,G_265,H_266) ),
inference(cnfTransformation,[status(thm)],[f_1248]) ).
tff(c_269028,plain,
! [G_29335,H_29336] :
( ~ p1(G_29335,H_29336,e)
| p2(e,G_29335,H_29336) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_366]) ).
tff(c_488,plain,
! [D_376,C_375] :
( ~ p2(D_376,C_375,C_375)
| k3(C_375,D_376,C_375) ),
inference(cnfTransformation,[status(thm)],[f_1733]) ).
tff(c_269033,plain,
! [H_29336] :
( k3(H_29336,e,H_29336)
| ~ p1(H_29336,H_29336,e) ),
inference(resolution,[status(thm)],[c_269028,c_488]) ).
tff(c_287132,plain,
( k3(b,e,b)
| ~ k0(e)
| ~ m1(b,e,b) ),
inference(resolution,[status(thm)],[c_287123,c_269033]) ).
tff(c_287142,plain,
( k3(b,e,b)
| ~ m1(b,e,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_287132]) ).
tff(c_287162,plain,
~ m1(b,e,b),
inference(splitLeft,[status(thm)],[c_287142]) ).
tff(c_287231,plain,
~ r0(b),
inference(resolution,[status(thm)],[c_286066,c_287162]) ).
tff(c_287241,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_287231]) ).
tff(c_287243,plain,
m1(b,e,b),
inference(splitRight,[status(thm)],[c_287142]) ).
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_266243,plain,
! [A_28960,J_28961] :
( ~ q1(A_28960,J_28961,J_28961)
| k2(J_28961,J_28961) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_266283,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_266243]) ).
tff(c_288663,plain,
! [F_31199,D_31200,E_31201,C_31202] :
( ~ k2(F_31199,D_31200)
| ~ k1(F_31199)
| ~ m1(E_31201,D_31200,C_31202)
| k2(C_31202,D_31200) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_289994,plain,
! [A_31273,E_31274,C_31275] :
( ~ k1(A_31273)
| ~ m1(E_31274,A_31273,C_31275)
| k2(C_31275,A_31273) ),
inference(resolution,[status(thm)],[c_266283,c_288663]) ).
tff(c_290012,plain,
( ~ k1(e)
| k2(b,e) ),
inference(resolution,[status(thm)],[c_287243,c_289994]) ).
tff(c_290051,plain,
k2(b,e),
inference(demodulation,[status(thm),theory(equality)],[c_1332,c_290012]) ).
tff(c_330,plain,
! [F_240,D_238,E_239,C_237] :
( ~ k2(F_240,D_238)
| ~ k1(F_240)
| ~ m1(E_239,D_238,C_237)
| k2(C_237,D_238) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_290068,plain,
! [E_239,C_237] :
( ~ k1(b)
| ~ m1(E_239,e,C_237)
| k2(C_237,e) ),
inference(resolution,[status(thm)],[c_290051,c_330]) ).
tff(c_290136,plain,
! [E_31282,C_31283] :
( ~ m1(E_31282,e,C_31283)
| k2(C_31283,e) ),
inference(demodulation,[status(thm),theory(equality)],[c_889,c_290068]) ).
tff(c_290167,plain,
! [I_49] :
( k2(I_49,e)
| ~ k0(e)
| ~ l0(I_49) ),
inference(resolution,[status(thm)],[c_118,c_290136]) ).
tff(c_290213,plain,
! [I_31286] :
( k2(I_31286,e)
| ~ l0(I_31286) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_290167]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_163341,plain,
! [J_17976,A_17977,I_17978] :
( ~ m0(J_17976,A_17977,I_17978)
| q1(I_17978,I_17978,I_17978) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_163360,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_163341]) ).
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_163505,plain,
! [E_18006,D_18007] :
( ~ q1(d,E_18006,d)
| ~ q0(D_18007,E_18006)
| r1(D_18007) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_163508,plain,
! [D_18007] :
( ~ q0(D_18007,d)
| r1(D_18007) ),
inference(resolution,[status(thm)],[c_163360,c_163505]) ).
tff(c_163514,plain,
! [D_18007] : r1(D_18007),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_163508]) ).
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_162391,plain,
~ r2(c),
inference(splitLeft,[status(thm)],[c_504]) ).
tff(c_162394,plain,
( ~ l0(c)
| ~ r1(c) ),
inference(resolution,[status(thm)],[c_452,c_162391]) ).
tff(c_162397,plain,
~ r1(c),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_162394]) ).
tff(c_163523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_163514,c_162397]) ).
tff(c_163525,plain,
r2(c),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_276841,plain,
! [I_30132,H_30133] :
( ~ k2(c,I_30132)
| ~ r2(H_30133)
| m3(H_30133,I_30132,H_30133) ),
inference(cnfTransformation,[status(thm)],[f_1948]) ).
tff(c_738,plain,
~ m3(c,e,c),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_276844,plain,
( ~ k2(c,e)
| ~ r2(c) ),
inference(resolution,[status(thm)],[c_276841,c_738]) ).
tff(c_276847,plain,
~ k2(c,e),
inference(demodulation,[status(thm),theory(equality)],[c_163525,c_276844]) ).
tff(c_290218,plain,
~ l0(c),
inference(resolution,[status(thm)],[c_290213,c_276847]) ).
tff(c_290223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_290218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN138-1 : TPTP v9.0.0. Released v1.1.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n006.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 : Wed Apr 9 07:00:07 EDT 2025
% 0.14/0.35 % CPUTime :
% 92.70/77.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.79/77.18
% 92.79/77.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------