%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN179-1 : 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 : n013.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 10:02:49 PM UTC 2025
% Result : Unsatisfiable 31.63s 17.45s
% Output : CNFRefutation 31.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 54 ~; 46 |; 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 : 71 ( 71 !; 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_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_107,axiom,
! [C,D,E,F] :
( l1(C,D)
| ~ p0(E,C)
| ~ r0(F)
| ~ m0(D,C,E) ),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
tff(f_44,axiom,
s0(d),
file(unknown,unknown) ).
tff(f_1604,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file(unknown,unknown) ).
tff(f_83,axiom,
q0(a,b),
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_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_1567,axiom,
! [G,H] :
( q2(G,G,H)
| ~ l1(H,G) ),
file(unknown,unknown) ).
tff(f_2129,axiom,
! [G,H,I] :
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ),
file(unknown,unknown) ).
tff(f_559,axiom,
! [H,I,J,A] :
( n1(H,H,I)
| ~ m0(J,A,A)
| ~ m0(I,J,H) ),
file(unknown,unknown) ).
tff(f_2148,axiom,
! [B,C,D] :
( q3(B,C)
| ~ n1(D,B,C)
| ~ s2(B)
| ~ q3(C,B) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ q3(d,X),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_82,plain,
! [D_11,C_10,E_12,F_13] :
( ~ m0(D_11,C_10,E_12)
| ~ r0(F_13)
| ~ p0(E_12,C_10)
| l1(C_10,D_11) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_73737,plain,
! [F_13] : ~ r0(F_13),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_73740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73737,c_18]) ).
tff(c_73819,plain,
! [D_9862,C_9863,E_9864] :
( ~ m0(D_9862,C_9863,E_9864)
| ~ p0(E_9864,C_9863)
| l1(C_9863,D_9862) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_73845,plain,
! [Y_5,X_4] :
( ~ p0(Y_5,d)
| l1(d,X_4) ),
inference(resolution,[status(thm)],[c_38,c_73819]) ).
tff(c_73862,plain,
! [Y_9865] : ~ p0(Y_9865,d),
inference(splitLeft,[status(thm)],[c_73845]) ).
tff(c_73867,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_73862]) ).
tff(c_73868,plain,
! [X_4] : l1(d,X_4),
inference(splitRight,[status(thm)],[c_73845]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_456,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnfTransformation,[status(thm)],[f_1604]) ).
tff(c_832,plain,
( ~ s1(a)
| s2(d) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_456]) ).
tff(c_893,plain,
~ s1(a),
inference(splitLeft,[status(thm)],[c_832]) ).
tff(c_72,plain,
q0(a,b),
inference(cnfTransformation,[status(thm)],[f_83]) ).
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_1385,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_896,plain,
! [I_647] :
( ~ p0(I_647,I_647)
| s1(I_647) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_901,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_896]) ).
tff(c_1388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1385,c_901]) ).
tff(c_1390,plain,
! [F_754,G_755] :
( ~ q0(F_754,G_755)
| s1(F_754) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_1393,plain,
s1(a),
inference(resolution,[status(thm)],[c_72,c_1390]) ).
tff(c_1412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_893,c_1393]) ).
tff(c_1413,plain,
s2(d),
inference(splitRight,[status(thm)],[c_832]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_448,plain,
! [H_339,G_338] :
( ~ l1(H_339,G_338)
| q2(G_338,G_338,H_339) ),
inference(cnfTransformation,[status(thm)],[f_1567]) ).
tff(c_69127,plain,
! [I_9513,G_9514,H_9515] :
( ~ n0(I_9513,G_9514)
| ~ q2(I_9513,G_9514,H_9515)
| q3(G_9514,H_9515) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_69456,plain,
! [G_9532,H_9533] :
( ~ n0(G_9532,G_9532)
| q3(G_9532,H_9533)
| ~ l1(H_9533,G_9532) ),
inference(resolution,[status(thm)],[c_448,c_69127]) ).
tff(c_69459,plain,
! [H_9533] :
( q3(e,H_9533)
| ~ l1(H_9533,e) ),
inference(resolution,[status(thm)],[c_60,c_69456]) ).
tff(c_73661,plain,
! [I_9852,J_9853,H_9854,A_9855] :
( ~ m0(I_9852,J_9853,H_9854)
| ~ m0(J_9853,A_9855,A_9855)
| n1(H_9854,H_9854,I_9852) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_73679,plain,
! [A_9855,Y_5,X_4] :
( ~ m0(d,A_9855,A_9855)
| n1(Y_5,Y_5,X_4) ),
inference(resolution,[status(thm)],[c_38,c_73661]) ).
tff(c_73700,plain,
! [A_9857] : ~ m0(d,A_9857,A_9857),
inference(splitLeft,[status(thm)],[c_73679]) ).
tff(c_73705,plain,
$false,
inference(resolution,[status(thm)],[c_38,c_73700]) ).
tff(c_73723,plain,
! [Y_9858,X_9859] : n1(Y_9858,Y_9858,X_9859),
inference(splitRight,[status(thm)],[c_73679]) ).
tff(c_590,plain,
! [C_470,B_469,D_471] :
( ~ q3(C_470,B_469)
| ~ s2(B_469)
| ~ n1(D_471,B_469,C_470)
| q3(B_469,C_470) ),
inference(cnfTransformation,[status(thm)],[f_2148]) ).
tff(c_73976,plain,
! [X_9876,Y_9877] :
( ~ q3(X_9876,Y_9877)
| ~ s2(Y_9877)
| q3(Y_9877,X_9876) ),
inference(resolution,[status(thm)],[c_73723,c_590]) ).
tff(c_74012,plain,
! [H_9880] :
( ~ s2(H_9880)
| q3(H_9880,e)
| ~ l1(H_9880,e) ),
inference(resolution,[status(thm)],[c_69459,c_73976]) ).
tff(c_738,plain,
! [X_627] : ~ q3(d,X_627),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_74024,plain,
( ~ s2(d)
| ~ l1(d,e) ),
inference(resolution,[status(thm)],[c_74012,c_738]) ).
tff(c_74035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73868,c_1413,c_74024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN179-1 : TPTP v9.0.0. Released v1.1.0.
% 0.03/0.13 % 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 : n013.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 07:03:32 EDT 2025
% 0.13/0.34 % CPUTime :
% 31.63/17.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.63/17.46
% 31.63/17.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------