%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN139-1 : 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 : n015.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 141.30s 124.04s
% Output : CNFRefutation 141.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 77 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 163 ( 84 ~; 79 |; 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 : 109 ( 109 !; 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_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_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1524,axiom,
! [I] :
( q2(I,I,I)
| ~ p1(I,I,I) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : m0(a,X,a),
file(unknown,unknown) ).
tff(f_2297,axiom,
! [I,J,A,B] :
( s3(I,J)
| ~ q2(A,I,A)
| ~ s2(I)
| ~ m0(A,B,J) ),
file(unknown,unknown) ).
tff(f_67,axiom,
l0(a),
file(unknown,unknown) ).
tff(f_84,axiom,
n0(b,a),
file(unknown,unknown) ).
tff(f_96,axiom,
! [G,H] :
( l1(G,G)
| ~ n0(H,G) ),
file(unknown,unknown) ).
tff(f_48,axiom,
s0(b),
file(unknown,unknown) ).
tff(f_477,axiom,
! [D,E] :
( n1(D,E,D)
| ~ s0(b)
| ~ l0(D)
| ~ p0(b,E) ),
file(unknown,unknown) ).
tff(f_521,axiom,
! [E,F,G] :
( n1(E,F,F)
| ~ l0(G)
| ~ l1(G,E)
| ~ n1(E,F,E) ),
file(unknown,unknown) ).
tff(f_79,axiom,
k0(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_1535,axiom,
! [F,G,H] :
( q2(F,G,F)
| ~ p1(F,F,H)
| ~ n1(G,F,H)
| ~ q2(G,H,F) ),
file(unknown,unknown) ).
tff(f_1597,axiom,
! [H] :
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ),
file(unknown,unknown) ).
tff(f_2350,axiom,
! [E,F,G] :
( m4(E,F)
| ~ l2(G,F)
| ~ s3(a,E) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ m4(a,a),
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_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_377784,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_1416,plain,
! [I_755] :
( ~ p0(I_755,I_755)
| s1(I_755) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1421,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1416]) ).
tff(c_377788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377784,c_1421]) ).
tff(c_377799,plain,
! [F_41055,G_41056] :
( ~ q0(F_41055,G_41056)
| s1(F_41055) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_377822,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_377799]) ).
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_583328,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_377822,c_342]) ).
tff(c_583330,plain,
! [A_59726] : ~ p0(A_59726,A_59726),
inference(splitLeft,[status(thm)],[c_583328]) ).
tff(c_583335,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_583330]) ).
tff(c_583337,plain,
! [C_59727,B_59728,J_59729] :
( ~ m0(C_59727,B_59728,J_59729)
| l2(J_59729,J_59729) ),
inference(splitRight,[status(thm)],[c_583328]) ).
tff(c_583355,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_583337]) ).
tff(c_237124,plain,
! [C_27595,B_27596] :
( ~ p0(C_27595,B_27596)
| p1(B_27596,B_27596,B_27596) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_237130,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_237124]) ).
tff(c_438,plain,
! [I_327] :
( ~ p1(I_327,I_327,I_327)
| q2(I_327,I_327,I_327) ),
inference(cnfTransformation,[status(thm)],[f_1524]) ).
tff(c_525008,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_237130,c_438]) ).
tff(c_24,plain,
! [X_1] : m0(a,X_1,a),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_584841,plain,
! [A_59821,B_59822,J_59823,I_59824] :
( ~ m0(A_59821,B_59822,J_59823)
| ~ s2(I_59824)
| ~ q2(A_59821,I_59824,A_59821)
| s3(I_59824,J_59823) ),
inference(cnfTransformation,[status(thm)],[f_2297]) ).
tff(c_586918,plain,
! [I_59948] :
( ~ s2(I_59948)
| ~ q2(a,I_59948,a)
| s3(I_59948,a) ),
inference(resolution,[status(thm)],[c_24,c_584841]) ).
tff(c_586939,plain,
( ~ s2(a)
| s3(a,a) ),
inference(resolution,[status(thm)],[c_525008,c_586918]) ).
tff(c_586943,plain,
~ s2(a),
inference(splitLeft,[status(thm)],[c_586939]) ).
tff(c_40,plain,
l0(a),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_14359,plain,
! [H_2653,G_2654] :
( ~ n0(H_2653,G_2654)
| l1(G_2654,G_2654) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_14377,plain,
l1(a,a),
inference(resolution,[status(thm)],[c_74,c_14359]) ).
tff(c_10,plain,
s0(b),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_176,plain,
! [E_99,D_98] :
( ~ p0(b,E_99)
| ~ l0(D_98)
| ~ s0(b)
| n1(D_98,E_99,D_98) ),
inference(cnfTransformation,[status(thm)],[f_477]) ).
tff(c_788,plain,
! [D_98,E_99] :
( ~ l0(D_98)
| ~ s0(b)
| n1(D_98,E_99,D_98) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_176]) ).
tff(c_826,plain,
! [D_98,E_99] :
( ~ l0(D_98)
| n1(D_98,E_99,D_98) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_788]) ).
tff(c_585372,plain,
! [E_59860,F_59861,G_59862] :
( ~ n1(E_59860,F_59861,E_59860)
| ~ l1(G_59862,E_59860)
| ~ l0(G_59862)
| n1(E_59860,F_59861,F_59861) ),
inference(cnfTransformation,[status(thm)],[f_521]) ).
tff(c_589741,plain,
! [G_60128,D_60129,E_60130] :
( ~ l1(G_60128,D_60129)
| ~ l0(G_60128)
| n1(D_60129,E_60130,E_60130)
| ~ l0(D_60129) ),
inference(resolution,[status(thm)],[c_826,c_585372]) ).
tff(c_589751,plain,
! [E_60130] :
( n1(a,E_60130,E_60130)
| ~ l0(a) ),
inference(resolution,[status(thm)],[c_14377,c_589741]) ).
tff(c_589785,plain,
! [E_60132] : n1(a,E_60132,E_60132),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_589751]) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
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_537891,plain,
! [F_321,E_320] :
( ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_237130,c_430]) ).
tff(c_588055,plain,
! [G_60030,H_60031,F_60032] :
( ~ q2(G_60030,H_60031,F_60032)
| ~ n1(G_60030,F_60032,H_60031)
| ~ p1(F_60032,F_60032,H_60031)
| q2(F_60032,G_60030,F_60032) ),
inference(cnfTransformation,[status(thm)],[f_1535]) ).
tff(c_588061,plain,
! [E_320,F_321] :
( ~ n1(E_320,F_321,F_321)
| ~ p1(F_321,F_321,F_321)
| q2(F_321,E_320,F_321)
| ~ k0(F_321) ),
inference(resolution,[status(thm)],[c_537891,c_588055]) ).
tff(c_589381,plain,
! [E_60100,F_60101] :
( ~ n1(E_60100,F_60101,F_60101)
| q2(F_60101,E_60100,F_60101)
| ~ k0(F_60101) ),
inference(demodulation,[status(thm),theory(equality)],[c_237130,c_588061]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_524575,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_454]) ).
tff(c_589396,plain,
! [E_60100] :
( s2(E_60100)
| ~ n1(E_60100,b,b)
| ~ k0(b) ),
inference(resolution,[status(thm)],[c_589381,c_524575]) ).
tff(c_589407,plain,
! [E_60100] :
( s2(E_60100)
| ~ n1(E_60100,b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_589396]) ).
tff(c_589789,plain,
s2(a),
inference(resolution,[status(thm)],[c_589785,c_589407]) ).
tff(c_589800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_586943,c_589789]) ).
tff(c_589801,plain,
s3(a,a),
inference(splitRight,[status(thm)],[c_586939]) ).
tff(c_634,plain,
! [E_520,G_522,F_521] :
( ~ s3(a,E_520)
| ~ l2(G_522,F_521)
| m4(E_520,F_521) ),
inference(cnfTransformation,[status(thm)],[f_2350]) ).
tff(c_589863,plain,
! [G_60137,F_60138] :
( ~ l2(G_60137,F_60138)
| m4(a,F_60138) ),
inference(resolution,[status(thm)],[c_589801,c_634]) ).
tff(c_589871,plain,
! [Y_5] : m4(a,Y_5),
inference(resolution,[status(thm)],[c_583355,c_589863]) ).
tff(c_738,plain,
~ m4(a,a),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_589880,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_589871,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN139-1 : 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 : n015.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 07:00:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 141.30/124.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.30/124.05
% 141.30/124.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------