%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN137-1 : 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 : n016.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 10:02:42 PM UTC 2025
% Result : Unsatisfiable 22.38s 10.07s
% Output : CNFRefutation 22.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 119 ( 63 ~; 56 |; 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 : 67 ( 67 !; 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_54,axiom,
n0(e,b),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_1081,axiom,
! [F,G,H] :
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ),
file(unknown,unknown) ).
tff(f_1073,axiom,
! [I] :
( s1(I)
| ~ p0(I,I) ),
file(unknown,unknown) ).
tff(f_1141,axiom,
! [J,A,B,C] :
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,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_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_1546,axiom,
! [D,E] :
( q2(D,c,E)
| ~ k1(E)
| ~ l0(c)
| ~ l2(E,D) ),
file(unknown,unknown) ).
tff(f_1597,axiom,
! [H] :
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ),
file(unknown,unknown) ).
tff(f_1123,axiom,
! [D,E] :
( l2(D,E)
| ~ s1(D)
| ~ n0(e,E)
| ~ l2(E,E) ),
file(unknown,unknown) ).
tff(f_73,axiom,
n0(d,c),
file(unknown,unknown) ).
tff(f_1993,axiom,
! [J] :
( m3(J,c,J)
| ~ s2(c)
| ~ q2(J,c,c) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ m3(b,c,b),
file(unknown,unknown) ).
tff(c_22,plain,
n0(e,b),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_328,plain,
! [H_236,F_234,G_235] :
( ~ s1(H_236)
| ~ q0(F_234,G_235)
| s1(F_234) ),
inference(cnfTransformation,[status(thm)],[f_1081]) ).
tff(c_18819,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_13835,plain,
! [I_2568] :
( ~ p0(I_2568,I_2568)
| s1(I_2568) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_13840,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_13835]) ).
tff(c_18823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18819,c_13840]) ).
tff(c_18827,plain,
! [F_3275,G_3276] :
( ~ q0(F_3275,G_3276)
| s1(F_3275) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_18848,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_18827]) ).
tff(c_342,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ s1(B_248)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(cnfTransformation,[status(thm)],[f_1141]) ).
tff(c_33348,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(demodulation,[status(thm),theory(equality)],[c_18848,c_342]) ).
tff(c_33350,plain,
! [A_4965] : ~ p0(A_4965,A_4965),
inference(splitLeft,[status(thm)],[c_33348]) ).
tff(c_33355,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_33350]) ).
tff(c_33357,plain,
! [C_4966,B_4967,J_4968] :
( ~ m0(C_4966,B_4967,J_4968)
| l2(J_4968,J_4968) ),
inference(splitRight,[status(thm)],[c_33348]) ).
tff(c_33375,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_33357]) ).
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_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_442,plain,
! [E_332,D_331] :
( ~ l2(E_332,D_331)
| ~ l0(c)
| ~ k1(E_332)
| q2(D_331,c,E_332) ),
inference(cnfTransformation,[status(thm)],[f_1546]) ).
tff(c_28779,plain,
! [E_4479,D_4480] :
( ~ l2(E_4479,D_4480)
| ~ k1(E_4479)
| q2(D_4480,c,E_4479) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_442]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_28272,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_18848,c_454]) ).
tff(c_28783,plain,
( s2(c)
| ~ l2(b,b)
| ~ k1(b) ),
inference(resolution,[status(thm)],[c_28779,c_28272]) ).
tff(c_28786,plain,
( s2(c)
| ~ l2(b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_889,c_28783]) ).
tff(c_28789,plain,
~ l2(b,b),
inference(splitLeft,[status(thm)],[c_28786]) ).
tff(c_33409,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33375,c_28789]) ).
tff(c_33411,plain,
l2(b,b),
inference(splitRight,[status(thm)],[c_28786]) ).
tff(c_338,plain,
! [E_245,D_244] :
( ~ l2(E_245,E_245)
| ~ n0(e,E_245)
| ~ s1(D_244)
| l2(D_244,E_245) ),
inference(cnfTransformation,[status(thm)],[f_1123]) ).
tff(c_35287,plain,
! [E_5201,D_5202] :
( ~ l2(E_5201,E_5201)
| ~ n0(e,E_5201)
| l2(D_5202,E_5201) ),
inference(demodulation,[status(thm),theory(equality)],[c_18848,c_338]) ).
tff(c_35289,plain,
! [D_5202] :
( ~ n0(e,b)
| l2(D_5202,b) ),
inference(resolution,[status(thm)],[c_33411,c_35287]) ).
tff(c_35292,plain,
! [D_5202] : l2(D_5202,b),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_35289]) ).
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_760,plain,
! [E_332,D_331] :
( ~ l2(E_332,D_331)
| ~ k1(E_332)
| q2(D_331,c,E_332) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_442]) ).
tff(c_33410,plain,
s2(c),
inference(splitRight,[status(thm)],[c_28786]) ).
tff(c_550,plain,
! [J_429] :
( ~ q2(J_429,c,c)
| ~ s2(c)
| m3(J_429,c,J_429) ),
inference(cnfTransformation,[status(thm)],[f_1993]) ).
tff(c_34979,plain,
! [J_5167] :
( ~ q2(J_5167,c,c)
| m3(J_5167,c,J_5167) ),
inference(demodulation,[status(thm),theory(equality)],[c_33410,c_550]) ).
tff(c_34985,plain,
! [D_331] :
( m3(D_331,c,D_331)
| ~ l2(c,D_331)
| ~ k1(c) ),
inference(resolution,[status(thm)],[c_760,c_34979]) ).
tff(c_35015,plain,
! [D_5171] :
( m3(D_5171,c,D_5171)
| ~ l2(c,D_5171) ),
inference(demodulation,[status(thm),theory(equality)],[c_1329,c_34985]) ).
tff(c_738,plain,
~ m3(b,c,b),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_35019,plain,
~ l2(c,b),
inference(resolution,[status(thm)],[c_35015,c_738]) ).
tff(c_35296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35292,c_35019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN137-1 : 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
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 07:00:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 22.38/10.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.48/10.08
% 22.48/10.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------