%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN113-1 : 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 : n010.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 10:02:39 PM UTC 2025
% Result : Unsatisfiable 51.95s 37.25s
% Output : CNFRefutation 51.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 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 : 46 ( 46 !; 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_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_123,axiom,
! [B,C] :
( m1(B,C,B)
| ~ m0(C,C,B) ),
file(unknown,unknown) ).
tff(f_84,axiom,
n0(b,a),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_81,axiom,
n0(c,d),
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_1851,axiom,
( l3(d,d)
| ~ k2(a,d) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ k2(e,d),
file(unknown,unknown) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_93818,plain,
! [C_12252,B_12253] :
( ~ m0(C_12252,C_12252,B_12253)
| m1(B_12253,C_12252,B_12253) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_93827,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_93818]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_14253,plain,
! [J_2622,I_2623] :
( ~ n0(J_2622,I_2623)
| k1(I_2623) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_14280,plain,
k1(a),
inference(resolution,[status(thm)],[c_74,c_14253]) ).
tff(c_68,plain,
n0(c,d),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_14287,plain,
k1(d),
inference(resolution,[status(thm)],[c_68,c_14253]) ).
tff(c_58453,plain,
! [C_8011,B_8012] :
( ~ m0(C_8011,C_8011,B_8012)
| m1(B_8012,C_8011,B_8012) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_58462,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_58453]) ).
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_58300,plain,
! [A_7988,J_7989] :
( ~ q1(A_7988,J_7989,J_7989)
| k2(J_7989,J_7989) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_58340,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_58300]) ).
tff(c_77341,plain,
! [F_10053,D_10054,E_10055,C_10056] :
( ~ k2(F_10053,D_10054)
| ~ k1(F_10053)
| ~ m1(E_10055,D_10054,C_10056)
| k2(C_10056,D_10054) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_77345,plain,
! [A_10057,E_10058,C_10059] :
( ~ k1(A_10057)
| ~ m1(E_10058,A_10057,C_10059)
| k2(C_10059,A_10057) ),
inference(resolution,[status(thm)],[c_58340,c_77341]) ).
tff(c_77393,plain,
! [Y_5] :
( ~ k1(d)
| k2(Y_5,d) ),
inference(resolution,[status(thm)],[c_58462,c_77345]) ).
tff(c_77429,plain,
! [Y_5] : k2(Y_5,d),
inference(demodulation,[status(thm),theory(equality)],[c_14287,c_77393]) ).
tff(c_518,plain,
( ~ k2(a,d)
| l3(d,d) ),
inference(cnfTransformation,[status(thm)],[f_1851]) ).
tff(c_14411,plain,
~ k2(a,d),
inference(splitLeft,[status(thm)],[c_518]) ).
tff(c_77502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77429,c_14411]) ).
tff(c_77504,plain,
k2(a,d),
inference(splitRight,[status(thm)],[c_518]) ).
tff(c_102940,plain,
! [F_13335,D_13336,E_13337,C_13338] :
( ~ k2(F_13335,D_13336)
| ~ k1(F_13335)
| ~ m1(E_13337,D_13336,C_13338)
| k2(C_13338,D_13336) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_102944,plain,
! [E_13337,C_13338] :
( ~ k1(a)
| ~ m1(E_13337,d,C_13338)
| k2(C_13338,d) ),
inference(resolution,[status(thm)],[c_77504,c_102940]) ).
tff(c_102954,plain,
! [E_13340,C_13341] :
( ~ m1(E_13340,d,C_13341)
| k2(C_13341,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_14280,c_102944]) ).
tff(c_103006,plain,
! [Y_5] : k2(Y_5,d),
inference(resolution,[status(thm)],[c_93827,c_102954]) ).
tff(c_738,plain,
~ k2(e,d),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_103012,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103006,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN113-1 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 06:58:18 EDT 2025
% 0.13/0.35 % CPUTime :
% 51.95/37.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.95/37.26
% 51.95/37.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------