TSTP Solution File: SYN129-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN129-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 : Tue Aug 22 11:09:42 EDT 2023
% Result : Unsatisfiable 81.53s 67.23s
% Output : CNFRefutation 81.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 97
% Syntax : Number of formulae : 229 ( 81 unt; 53 typ; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 348 ( 183 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 48 >; 42 *; 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 : 248 (; 248 !; 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_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
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_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_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_820,axiom,
! [J,A,B,C] :
( q1(J,A,J)
| ~ n0(B,A)
| ~ p0(C,J) ),
file(unknown,unknown) ).
tff(f_1205,axiom,
! [B] :
( p2(B,a,B)
| ~ q1(B,a,B) ),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
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_1622,axiom,
! [J,A,B,C] :
( k3(J,A,J)
| ~ s1(A)
| ~ p2(B,A,C)
| ~ n0(J,C) ),
file(unknown,unknown) ).
tff(f_1709,axiom,
! [H,A,J,I,G] :
( k3(G,G,H)
| ~ q0(I,H)
| ~ k2(G,J)
| ~ k3(H,A,J) ),
file(unknown,unknown) ).
tff(f_54,axiom,
n0(e,b),
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_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_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_1160,axiom,
! [F,G,H] :
( m2(F)
| ~ s0(F)
| ~ l1(G,H) ),
file(unknown,unknown) ).
tff(f_96,axiom,
! [G,H] :
( l1(G,G)
| ~ n0(H,G) ),
file(unknown,unknown) ).
tff(f_1940,axiom,
( m3(c,b,d)
| ~ l1(d,b)
| ~ m2(d)
| ~ q2(b,c,d) ),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_1985,axiom,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file(unknown,unknown) ).
tff(f_2545,axiom,
! [H,I] :
( l5(H)
| ~ q4(I,I)
| ~ k1(H) ),
file(unknown,unknown) ).
tff(f_1044,axiom,
! [I,J,A] :
( q1(I,I,I)
| ~ m0(J,A,I) ),
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_2042,axiom,
! [H] :
( p3(H,H,H)
| ~ n2(H) ),
file(unknown,unknown) ).
tff(f_2334,axiom,
! [J,A,B] :
( l4(J)
| ~ p3(A,B,J) ),
file(unknown,unknown) ).
tff(f_2496,axiom,
! [I,J,A] :
( q4(I,I)
| ~ r1(I)
| ~ l4(J)
| ~ q4(J,A) ),
file(unknown,unknown) ).
tff(f_2485,axiom,
! [F,B,C,E,D] :
( q4(B,C)
| ~ k3(D,D,B)
| ~ q2(E,C,B)
| ~ m3(E,F,E) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ l5(e),
file(unknown,unknown) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1132,plain,
! [J_710,I_711] :
( ~ n0(J_710,I_711)
| k1(I_711) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1162,plain,
k1(e),
inference(resolution,[status(thm)],[c_60,c_1132]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_305337,plain,
! [C_33509,B_33510] :
( ~ m0(C_33509,C_33509,B_33510)
| m1(B_33510,C_33509,B_33510) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_305346,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_305337]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1159,plain,
k1(a),
inference(resolution,[status(thm)],[c_74,c_1132]) ).
tff(c_68,plain,
n0(c,d),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1166,plain,
k1(d),
inference(resolution,[status(thm)],[c_68,c_1132]) ).
tff(c_187150,plain,
! [C_21063,B_21064] :
( ~ m0(C_21063,C_21063,B_21064)
| m1(B_21064,C_21063,B_21064) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_187159,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_187150]) ).
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_170201,plain,
! [A_19204,J_19205] :
( ~ q1(A_19204,J_19205,J_19205)
| k2(J_19205,J_19205) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_170237,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_170201]) ).
tff(c_222464,plain,
! [F_24401,D_24402,E_24403,C_24404] :
( ~ k2(F_24401,D_24402)
| ~ k1(F_24401)
| ~ m1(E_24403,D_24402,C_24404)
| k2(C_24404,D_24402) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_222554,plain,
! [A_24411,E_24412,C_24413] :
( ~ k1(A_24411)
| ~ m1(E_24412,A_24411,C_24413)
| k2(C_24413,A_24411) ),
inference(resolution,[status(thm)],[c_170237,c_222464]) ).
tff(c_222596,plain,
! [Y_5] :
( ~ k1(d)
| k2(Y_5,d) ),
inference(resolution,[status(thm)],[c_187159,c_222554]) ).
tff(c_222627,plain,
! [Y_5] : k2(Y_5,d),
inference(demodulation,[status(thm),theory(equality)],[c_1166,c_222596]) ).
tff(c_518,plain,
( ~ k2(a,d)
| l3(d,d) ),
inference(cnfTransformation,[status(thm)],[f_1851]) ).
tff(c_152350,plain,
~ k2(a,d),
inference(splitLeft,[status(thm)],[c_518]) ).
tff(c_222640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_222627,c_152350]) ).
tff(c_222642,plain,
k2(a,d),
inference(splitRight,[status(thm)],[c_518]) ).
tff(c_327117,plain,
! [F_35497,D_35498,E_35499,C_35500] :
( ~ k2(F_35497,D_35498)
| ~ k1(F_35497)
| ~ m1(E_35499,D_35498,C_35500)
| k2(C_35500,D_35498) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_327121,plain,
! [E_35499,C_35500] :
( ~ k1(a)
| ~ m1(E_35499,d,C_35500)
| k2(C_35500,d) ),
inference(resolution,[status(thm)],[c_222642,c_327117]) ).
tff(c_327131,plain,
! [E_35501,C_35502] :
( ~ m1(E_35501,d,C_35502)
| k2(C_35502,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_1159,c_327121]) ).
tff(c_327179,plain,
! [Y_5] : k2(Y_5,d),
inference(resolution,[status(thm)],[c_305346,c_327131]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_324725,plain,
! [C_35271,J_35272,B_35273,A_35274] :
( ~ p0(C_35271,J_35272)
| ~ n0(B_35273,A_35274)
| q1(J_35272,A_35274,J_35272) ),
inference(cnfTransformation,[status(thm)],[f_820]) ).
tff(c_324818,plain,
! [B_35281,A_35282,X_35283] :
( ~ n0(B_35281,A_35282)
| q1(X_35283,A_35282,X_35283) ),
inference(resolution,[status(thm)],[c_28,c_324725]) ).
tff(c_324836,plain,
! [X_35283] : q1(X_35283,a,X_35283),
inference(resolution,[status(thm)],[c_74,c_324818]) ).
tff(c_358,plain,
! [B_261] :
( ~ q1(B_261,a,B_261)
| p2(B_261,a,B_261) ),
inference(cnfTransformation,[status(thm)],[f_1205]) ).
tff(c_324919,plain,
! [B_261] : p2(B_261,a,B_261),
inference(demodulation,[status(thm),theory(equality)],[c_324836,c_358]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
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_283376,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_15526,plain,
! [I_2699] :
( ~ p0(I_2699,I_2699)
| s1(I_2699) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_15531,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_15526]) ).
tff(c_283380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_283376,c_15531]) ).
tff(c_283382,plain,
! [F_30835,G_30836] :
( ~ q0(F_30835,G_30836)
| s1(F_30835) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_283408,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_283382]) ).
tff(c_460,plain,
! [J_346,C_349,B_348,A_347] :
( ~ n0(J_346,C_349)
| ~ p2(B_348,A_347,C_349)
| ~ s1(A_347)
| k3(J_346,A_347,J_346) ),
inference(cnfTransformation,[status(thm)],[f_1622]) ).
tff(c_327566,plain,
! [J_35525,C_35526,B_35527,A_35528] :
( ~ n0(J_35525,C_35526)
| ~ p2(B_35527,A_35528,C_35526)
| k3(J_35525,A_35528,J_35525) ),
inference(demodulation,[status(thm),theory(equality)],[c_283408,c_460]) ).
tff(c_327603,plain,
! [B_35531,A_35532] :
( ~ p2(B_35531,A_35532,e)
| k3(d,A_35532,d) ),
inference(resolution,[status(thm)],[c_6,c_327566]) ).
tff(c_327656,plain,
k3(d,a,d),
inference(resolution,[status(thm)],[c_324919,c_327603]) ).
tff(c_329190,plain,
! [A_35608,I_35611,G_35612,J_35610,H_35609] :
( ~ k3(H_35609,A_35608,J_35610)
| ~ k2(G_35612,J_35610)
| ~ q0(I_35611,H_35609)
| k3(G_35612,G_35612,H_35609) ),
inference(cnfTransformation,[status(thm)],[f_1709]) ).
tff(c_329214,plain,
! [G_35612,I_35611] :
( ~ k2(G_35612,d)
| ~ q0(I_35611,d)
| k3(G_35612,G_35612,d) ),
inference(resolution,[status(thm)],[c_327656,c_329190]) ).
tff(c_329266,plain,
! [G_35612] : k3(G_35612,G_35612,d),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_327179,c_329214]) ).
tff(c_22,plain,
n0(e,b),
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_311100,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_283408,c_342]) ).
tff(c_311102,plain,
! [A_34095] : ~ p0(A_34095,A_34095),
inference(splitLeft,[status(thm)],[c_311100]) ).
tff(c_311107,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_311102]) ).
tff(c_311109,plain,
! [C_34096,B_34097,J_34098] :
( ~ m0(C_34096,B_34097,J_34098)
| l2(J_34098,J_34098) ),
inference(splitRight,[status(thm)],[c_311100]) ).
tff(c_311127,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_311109]) ).
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_853,plain,
! [J_634,I_635] :
( ~ n0(J_634,I_635)
| k1(I_635) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_856,plain,
k1(b),
inference(resolution,[status(thm)],[c_30,c_853]) ).
tff(c_881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_842,c_856]) ).
tff(c_883,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_305684,plain,
! [E_33577,D_33578] :
( ~ l2(E_33577,D_33578)
| ~ k1(E_33577)
| q2(D_33578,c,E_33577) ),
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_305242,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_283408,c_454]) ).
tff(c_305688,plain,
( s2(c)
| ~ l2(b,b)
| ~ k1(b) ),
inference(resolution,[status(thm)],[c_305684,c_305242]) ).
tff(c_305691,plain,
( s2(c)
| ~ l2(b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_883,c_305688]) ).
tff(c_305692,plain,
~ l2(b,b),
inference(splitLeft,[status(thm)],[c_305691]) ).
tff(c_311149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_311127,c_305692]) ).
tff(c_311151,plain,
l2(b,b),
inference(splitRight,[status(thm)],[c_305691]) ).
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_326077,plain,
! [E_35403,D_35404] :
( ~ l2(E_35403,E_35403)
| ~ n0(e,E_35403)
| l2(D_35404,E_35403) ),
inference(demodulation,[status(thm),theory(equality)],[c_283408,c_338]) ).
tff(c_326079,plain,
! [D_35404] :
( ~ n0(e,b)
| l2(D_35404,b) ),
inference(resolution,[status(thm)],[c_311151,c_326077]) ).
tff(c_326082,plain,
! [D_35404] : l2(D_35404,b),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_326079]) ).
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_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_326125,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_326128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326125,c_18]) ).
tff(c_326130,plain,
! [D_35413,C_35414,E_35415] :
( ~ m0(D_35413,C_35414,E_35415)
| ~ p0(E_35415,C_35414)
| l1(C_35414,D_35413) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_326156,plain,
! [Y_5,X_4] :
( ~ p0(Y_5,d)
| l1(d,X_4) ),
inference(resolution,[status(thm)],[c_38,c_326130]) ).
tff(c_326459,plain,
! [Y_35434] : ~ p0(Y_35434,d),
inference(splitLeft,[status(thm)],[c_326156]) ).
tff(c_326464,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_326459]) ).
tff(c_326465,plain,
! [X_4] : l1(d,X_4),
inference(splitRight,[status(thm)],[c_326156]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_346,plain,
! [G_254,H_255,F_253] :
( ~ l1(G_254,H_255)
| ~ s0(F_253)
| m2(F_253) ),
inference(cnfTransformation,[status(thm)],[f_1160]) ).
tff(c_223926,plain,
! [G_254,H_255] : ~ l1(G_254,H_255),
inference(splitLeft,[status(thm)],[c_346]) ).
tff(c_15549,plain,
! [H_2708,G_2709] :
( ~ n0(H_2708,G_2709)
| l1(G_2709,G_2709) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_15572,plain,
l1(d,d),
inference(resolution,[status(thm)],[c_68,c_15549]) ).
tff(c_223933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223926,c_15572]) ).
tff(c_223935,plain,
! [F_24598] :
( ~ s0(F_24598)
| m2(F_24598) ),
inference(splitRight,[status(thm)],[c_346]) ).
tff(c_223944,plain,
m2(d),
inference(resolution,[status(thm)],[c_2,c_223935]) ).
tff(c_536,plain,
( ~ q2(b,c,d)
| ~ m2(d)
| ~ l1(d,b)
| m3(c,b,d) ),
inference(cnfTransformation,[status(thm)],[f_1940]) ).
tff(c_328284,plain,
( ~ q2(b,c,d)
| m3(c,b,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_326465,c_223944,c_536]) ).
tff(c_328285,plain,
~ q2(b,c,d),
inference(splitLeft,[status(thm)],[c_328284]) ).
tff(c_328288,plain,
( ~ l2(d,b)
| ~ k1(d) ),
inference(resolution,[status(thm)],[c_760,c_328285]) ).
tff(c_328292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1166,c_326082,c_328288]) ).
tff(c_328294,plain,
q2(b,c,d),
inference(splitRight,[status(thm)],[c_328284]) ).
tff(c_282770,plain,
! [C_30739,B_30740] :
( ~ p0(C_30739,B_30740)
| p1(B_30740,B_30740,B_30740) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_282789,plain,
! [X_30743] : p1(X_30743,X_30743,X_30743),
inference(resolution,[status(thm)],[c_28,c_282770]) ).
tff(c_350,plain,
! [B_257,C_258,A_256] :
( ~ p1(B_257,C_258,A_256)
| n2(A_256) ),
inference(cnfTransformation,[status(thm)],[f_1169]) ).
tff(c_282793,plain,
! [X_30743] : n2(X_30743),
inference(resolution,[status(thm)],[c_282789,c_350]) ).
tff(c_548,plain,
! [A_428] :
( ~ n2(A_428)
| m3(A_428,A_428,A_428) ),
inference(cnfTransformation,[status(thm)],[f_1985]) ).
tff(c_282812,plain,
! [A_428] : m3(A_428,A_428,A_428),
inference(demodulation,[status(thm),theory(equality)],[c_282793,c_548]) ).
tff(c_680,plain,
! [H_575,I_576] :
( ~ k1(H_575)
| ~ q4(I_576,I_576)
| l5(H_575) ),
inference(cnfTransformation,[status(thm)],[f_2545]) ).
tff(c_283362,plain,
! [I_576] : ~ q4(I_576,I_576),
inference(splitLeft,[status(thm)],[c_680]) ).
tff(c_297541,plain,
! [J_32468,A_32469,I_32470] :
( ~ m0(J_32468,A_32469,I_32470)
| q1(I_32470,I_32470,I_32470) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_297560,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_297541]) ).
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_311395,plain,
! [E_34152,D_34153] :
( ~ q1(d,E_34152,d)
| ~ q0(D_34153,E_34152)
| r1(D_34153) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_311401,plain,
! [D_34153] :
( ~ q0(D_34153,d)
| r1(D_34153) ),
inference(resolution,[status(thm)],[c_297560,c_311395]) ).
tff(c_311410,plain,
! [D_34153] : r1(D_34153),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_311401]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_223777,plain,
! [A_24573,B_24574,J_24575] :
( ~ p3(A_24573,B_24574,J_24575)
| l4(J_24575) ),
inference(cnfTransformation,[status(thm)],[f_2334]) ).
tff(c_223781,plain,
! [H_442] :
( l4(H_442)
| ~ n2(H_442) ),
inference(resolution,[status(thm)],[c_564,c_223777]) ).
tff(c_282803,plain,
! [H_442] : l4(H_442),
inference(demodulation,[status(thm),theory(equality)],[c_282793,c_223781]) ).
tff(c_668,plain,
! [J_562,A_563,I_561] :
( ~ q4(J_562,A_563)
| ~ l4(J_562)
| ~ r1(I_561)
| q4(I_561,I_561) ),
inference(cnfTransformation,[status(thm)],[f_2496]) ).
tff(c_324657,plain,
! [J_562,A_563,I_561] :
( ~ q4(J_562,A_563)
| q4(I_561,I_561) ),
inference(demodulation,[status(thm),theory(equality)],[c_311410,c_282803,c_668]) ).
tff(c_324658,plain,
! [J_562,A_563] : ~ q4(J_562,A_563),
inference(negUnitSimplification,[status(thm)],[c_283362,c_324657]) ).
tff(c_666,plain,
! [C_558,B_557,D_560,E_559,F_556] :
( ~ m3(E_559,F_556,E_559)
| ~ q2(E_559,C_558,B_557)
| ~ k3(D_560,D_560,B_557)
| q4(B_557,C_558) ),
inference(cnfTransformation,[status(thm)],[f_2485]) ).
tff(c_329533,plain,
! [C_35641,D_35638,B_35639,E_35642,F_35640] :
( ~ m3(E_35642,F_35640,E_35642)
| ~ q2(E_35642,C_35641,B_35639)
| ~ k3(D_35638,D_35638,B_35639) ),
inference(negUnitSimplification,[status(thm)],[c_324658,c_666]) ).
tff(c_329567,plain,
! [A_35643,C_35644,B_35645,D_35646] :
( ~ q2(A_35643,C_35644,B_35645)
| ~ k3(D_35646,D_35646,B_35645) ),
inference(resolution,[status(thm)],[c_282812,c_329533]) ).
tff(c_329569,plain,
! [D_35646] : ~ k3(D_35646,D_35646,d),
inference(resolution,[status(thm)],[c_328294,c_329567]) ).
tff(c_329581,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_329266,c_329569]) ).
tff(c_329583,plain,
! [H_35647] :
( ~ k1(H_35647)
| l5(H_35647) ),
inference(splitRight,[status(thm)],[c_680]) ).
tff(c_738,plain,
~ l5(e),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_329586,plain,
~ k1(e),
inference(resolution,[status(thm)],[c_329583,c_738]) ).
tff(c_329590,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1162,c_329586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN129-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n004.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 : Thu Aug 3 17:14:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 81.53/67.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 81.72/67.25
% 81.72/67.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 81.83/67.31
% 81.83/67.31 Inference rules
% 81.83/67.31 ----------------------
% 81.83/67.31 #Ref : 0
% 81.83/67.31 #Sup : 59390
% 81.83/67.31 #Fact : 0
% 81.83/67.31 #Define : 0
% 81.83/67.31 #Split : 5561
% 81.83/67.31 #Chain : 0
% 81.83/67.31 #Close : 0
% 81.83/67.31
% 81.83/67.31 Ordering : KBO
% 81.83/67.31
% 81.83/67.31 Simplification rules
% 81.83/67.31 ----------------------
% 81.83/67.31 #Subsume : 18251
% 81.83/67.31 #Demod : 58754
% 81.83/67.31 #Tautology : 34893
% 81.83/67.31 #SimpNegUnit : 4348
% 81.83/67.31 #BackRed : 4460
% 81.83/67.31
% 81.83/67.31 #Partial instantiations: 0
% 81.83/67.31 #Strategies tried : 1
% 81.83/67.31
% 81.83/67.31 Timing (in seconds)
% 81.83/67.31 ----------------------
% 81.83/67.31 Preprocessing : 1.15
% 81.83/67.31 Parsing : 0.59
% 81.83/67.31 CNF conversion : 0.11
% 81.83/67.31 Main loop : 64.96
% 81.83/67.31 Inferencing : 19.05
% 81.83/67.31 Reduction : 26.99
% 81.83/67.31 Demodulation : 18.85
% 81.83/67.31 BG Simplification : 0.31
% 81.83/67.31 Subsumption : 14.11
% 81.83/67.31 Abstraction : 0.53
% 81.83/67.31 MUC search : 0.00
% 81.83/67.31 Cooper : 0.00
% 81.83/67.31 Total : 66.20
% 81.83/67.31 Index Insertion : 0.00
% 81.83/67.31 Index Deletion : 0.00
% 81.83/67.31 Index Matching : 0.00
% 81.83/67.31 BG Taut test : 0.00
%------------------------------------------------------------------------------