TSTP Solution File: SYN163-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN163-1 : 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/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 : Tue Aug 22 11:09:48 EDT 2023
% Result : Unsatisfiable 131.24s 114.78s
% Output : CNFRefutation 131.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 108
% Syntax : Number of formulae : 278 ( 103 unt; 53 typ; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 443 ( 232 ~; 211 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 304 (; 304 !; 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_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_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_59,axiom,
! [X] : p0(b,X),
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_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_1475,axiom,
! [H] :
( p2(H,H,H)
| ~ n2(H)
| ~ k1(e) ),
file(unknown,unknown) ).
tff(f_73,axiom,
n0(d,c),
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_1985,axiom,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
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_2391,axiom,
! [H,I] :
( n4(H,H)
| ~ k4(I)
| ~ m3(H,H,H) ),
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_1112,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file(unknown,unknown) ).
tff(f_1480,axiom,
! [F,G] :
( p2(F,F,F)
| ~ l1(G,F) ),
file(unknown,unknown) ).
tff(f_2007,axiom,
! [D,E,F] :
( n3(D)
| ~ p2(E,F,D) ),
file(unknown,unknown) ).
tff(f_2307,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file(unknown,unknown) ).
tff(f_64,axiom,
p0(c,b),
file(unknown,unknown) ).
tff(f_74,axiom,
m0(e,b,c),
file(unknown,unknown) ).
tff(f_1771,axiom,
! [D] :
( k3(D,D,D)
| ~ n2(D) ),
file(unknown,unknown) ).
tff(f_2601,axiom,
! [H,I] :
( n5(H,H)
| ~ n4(I,H) ),
file(unknown,unknown) ).
tff(f_2412,axiom,
! [B,C] :
( p4(B,C,B)
| ~ k3(B,B,C) ),
file(unknown,unknown) ).
tff(f_2588,axiom,
! [F,B,C,E,D] :
( n5(B,C)
| ~ q4(D,E)
| ~ n4(B,E)
| ~ p4(F,F,C)
| ~ n5(F,C) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ n5(e,a),
file(unknown,unknown) ).
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_495559,plain,
! [C_52288,B_52289] :
( ~ m0(C_52288,C_52288,B_52289)
| m1(B_52289,C_52288,B_52289) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_495568,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_495559]) ).
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_205140,plain,
! [C_23779,B_23780] :
( ~ m0(C_23779,C_23779,B_23780)
| m1(B_23780,C_23779,B_23780) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_205149,plain,
! [Y_5] : m1(Y_5,d,Y_5),
inference(resolution,[status(thm)],[c_38,c_205140]) ).
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_203484,plain,
! [A_23537,J_23538] :
( ~ q1(A_23537,J_23538,J_23538)
| k2(J_23538,J_23538) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_203508,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_203484]) ).
tff(c_211979,plain,
! [F_24526,D_24527,E_24528,C_24529] :
( ~ k2(F_24526,D_24527)
| ~ k1(F_24526)
| ~ m1(E_24528,D_24527,C_24529)
| k2(C_24529,D_24527) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_212499,plain,
! [A_24564,E_24565,C_24566] :
( ~ k1(A_24564)
| ~ m1(E_24565,A_24564,C_24566)
| k2(C_24566,A_24564) ),
inference(resolution,[status(thm)],[c_203508,c_211979]) ).
tff(c_212538,plain,
! [Y_5] :
( ~ k1(d)
| k2(Y_5,d) ),
inference(resolution,[status(thm)],[c_205149,c_212499]) ).
tff(c_212566,plain,
! [Y_5] : k2(Y_5,d),
inference(demodulation,[status(thm),theory(equality)],[c_14287,c_212538]) ).
tff(c_518,plain,
( ~ k2(a,d)
| l3(d,d) ),
inference(cnfTransformation,[status(thm)],[f_1851]) ).
tff(c_201439,plain,
~ k2(a,d),
inference(splitLeft,[status(thm)],[c_518]) ).
tff(c_212631,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212566,c_201439]) ).
tff(c_212633,plain,
k2(a,d),
inference(splitRight,[status(thm)],[c_518]) ).
tff(c_546180,plain,
! [F_57127,D_57128,E_57129,C_57130] :
( ~ k2(F_57127,D_57128)
| ~ k1(F_57127)
| ~ m1(E_57129,D_57128,C_57130)
| k2(C_57130,D_57128) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_546188,plain,
! [E_57129,C_57130] :
( ~ k1(a)
| ~ m1(E_57129,d,C_57130)
| k2(C_57130,d) ),
inference(resolution,[status(thm)],[c_212633,c_546180]) ).
tff(c_546453,plain,
! [E_57149,C_57150] :
( ~ m1(E_57149,d,C_57150)
| k2(C_57150,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_14280,c_546188]) ).
tff(c_546504,plain,
! [Y_5] : k2(Y_5,d),
inference(resolution,[status(thm)],[c_495568,c_546453]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
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_377749,plain,
! [X_41045] : p1(X_41045,X_41045,X_41045),
inference(resolution,[status(thm)],[c_28,c_237124]) ).
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_377753,plain,
! [X_41045] : n2(X_41045),
inference(resolution,[status(thm)],[c_377749,c_350]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14284,plain,
k1(e),
inference(resolution,[status(thm)],[c_60,c_14253]) ).
tff(c_424,plain,
! [H_315] :
( ~ k1(e)
| ~ n2(H_315)
| p2(H_315,H_315,H_315) ),
inference(cnfTransformation,[status(thm)],[f_1475]) ).
tff(c_495508,plain,
! [H_315] : p2(H_315,H_315,H_315),
inference(demodulation,[status(thm),theory(equality)],[c_377753,c_14284,c_424]) ).
tff(c_52,plain,
n0(d,c),
inference(cnfTransformation,[status(thm)],[f_73]) ).
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_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_547491,plain,
! [J_57213,C_57214,B_57215,A_57216] :
( ~ n0(J_57213,C_57214)
| ~ p2(B_57215,A_57216,C_57214)
| k3(J_57213,A_57216,J_57213) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_460]) ).
tff(c_547763,plain,
! [B_57228,A_57229] :
( ~ p2(B_57228,A_57229,c)
| k3(d,A_57229,d) ),
inference(resolution,[status(thm)],[c_52,c_547491]) ).
tff(c_547804,plain,
k3(d,c,d),
inference(resolution,[status(thm)],[c_495508,c_547763]) ).
tff(c_548971,plain,
! [A_57295,H_57296,I_57298,G_57299,J_57297] :
( ~ k3(H_57296,A_57295,J_57297)
| ~ k2(G_57299,J_57297)
| ~ q0(I_57298,H_57296)
| k3(G_57299,G_57299,H_57296) ),
inference(cnfTransformation,[status(thm)],[f_1709]) ).
tff(c_548989,plain,
! [G_57299,I_57298] :
( ~ k2(G_57299,d)
| ~ q0(I_57298,d)
| k3(G_57299,G_57299,d) ),
inference(resolution,[status(thm)],[c_547804,c_548971]) ).
tff(c_549044,plain,
! [G_57299] : k3(G_57299,G_57299,d),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_546504,c_548989]) ).
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_530644,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_530646,plain,
! [A_55801] : ~ p0(A_55801,A_55801),
inference(splitLeft,[status(thm)],[c_530644]) ).
tff(c_530651,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_530646]) ).
tff(c_530684,plain,
! [C_55807,B_55808,J_55809] :
( ~ m0(C_55807,B_55808,J_55809)
| l2(J_55809,J_55809) ),
inference(splitRight,[status(thm)],[c_530644]) ).
tff(c_530702,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_530684]) ).
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_525072,plain,
! [E_55270,D_55271] :
( ~ l2(E_55270,D_55271)
| ~ k1(E_55270)
| q2(D_55271,c,E_55270) ),
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_524575,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_454]) ).
tff(c_525076,plain,
( s2(c)
| ~ l2(b,b)
| ~ k1(b) ),
inference(resolution,[status(thm)],[c_525072,c_524575]) ).
tff(c_525079,plain,
( s2(c)
| ~ l2(b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_889,c_525076]) ).
tff(c_525080,plain,
~ l2(b,b),
inference(splitLeft,[status(thm)],[c_525079]) ).
tff(c_530731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_530702,c_525080]) ).
tff(c_530733,plain,
l2(b,b),
inference(splitRight,[status(thm)],[c_525079]) ).
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_539045,plain,
! [E_56607,D_56608] :
( ~ l2(E_56607,E_56607)
| ~ n0(e,E_56607)
| l2(D_56608,E_56607) ),
inference(demodulation,[status(thm),theory(equality)],[c_377822,c_338]) ).
tff(c_539047,plain,
! [D_56608] :
( ~ n0(e,b)
| l2(D_56608,b) ),
inference(resolution,[status(thm)],[c_530733,c_539045]) ).
tff(c_539050,plain,
! [D_56608] : l2(D_56608,b),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_539047]) ).
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_547169,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_547172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_547169,c_18]) ).
tff(c_547270,plain,
! [D_57202,C_57203,E_57204] :
( ~ m0(D_57202,C_57203,E_57204)
| ~ p0(E_57204,C_57203)
| l1(C_57203,D_57202) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_547296,plain,
! [Y_5,X_4] :
( ~ p0(Y_5,d)
| l1(d,X_4) ),
inference(resolution,[status(thm)],[c_38,c_547270]) ).
tff(c_547318,plain,
! [Y_57205] : ~ p0(Y_57205,d),
inference(splitLeft,[status(thm)],[c_547296]) ).
tff(c_547323,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_547318]) ).
tff(c_547324,plain,
! [X_4] : l1(d,X_4),
inference(splitRight,[status(thm)],[c_547296]) ).
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_214954,plain,
! [G_254,H_255] : ~ l1(G_254,H_255),
inference(splitLeft,[status(thm)],[c_346]) ).
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_14383,plain,
l1(d,d),
inference(resolution,[status(thm)],[c_68,c_14359]) ).
tff(c_214961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214954,c_14383]) ).
tff(c_214963,plain,
! [F_24916] :
( ~ s0(F_24916)
| m2(F_24916) ),
inference(splitRight,[status(thm)],[c_346]) ).
tff(c_214972,plain,
m2(d),
inference(resolution,[status(thm)],[c_2,c_214963]) ).
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_547640,plain,
( ~ q2(b,c,d)
| m3(c,b,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_547324,c_214972,c_536]) ).
tff(c_547641,plain,
~ q2(b,c,d),
inference(splitLeft,[status(thm)],[c_547640]) ).
tff(c_547644,plain,
( ~ l2(d,b)
| ~ k1(d) ),
inference(resolution,[status(thm)],[c_760,c_547641]) ).
tff(c_547648,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14287,c_539050,c_547644]) ).
tff(c_547650,plain,
q2(b,c,d),
inference(splitRight,[status(thm)],[c_547640]) ).
tff(c_548,plain,
! [A_428] :
( ~ n2(A_428)
| m3(A_428,A_428,A_428) ),
inference(cnfTransformation,[status(thm)],[f_1985]) ).
tff(c_377764,plain,
! [A_428] : m3(A_428,A_428,A_428),
inference(demodulation,[status(thm),theory(equality)],[c_377753,c_548]) ).
tff(c_495594,plain,
! [J_52294,A_52295,I_52296] :
( ~ m0(J_52294,A_52295,I_52296)
| q1(I_52296,I_52296,I_52296) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_495613,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_495594]) ).
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_537410,plain,
! [E_56415,D_56416] :
( ~ q1(d,E_56415,d)
| ~ q0(D_56416,E_56415)
| r1(D_56416) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_537416,plain,
! [D_56416] :
( ~ q0(D_56416,d)
| r1(D_56416) ),
inference(resolution,[status(thm)],[c_495613,c_537410]) ).
tff(c_537425,plain,
! [D_56416] : r1(D_56416),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_537416]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_212640,plain,
! [A_24572,B_24573,J_24574] :
( ~ p3(A_24572,B_24573,J_24574)
| l4(J_24574) ),
inference(cnfTransformation,[status(thm)],[f_2334]) ).
tff(c_212644,plain,
! [H_442] :
( l4(H_442)
| ~ n2(H_442) ),
inference(resolution,[status(thm)],[c_564,c_212640]) ).
tff(c_377758,plain,
! [H_442] : l4(H_442),
inference(demodulation,[status(thm),theory(equality)],[c_377753,c_212644]) ).
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_538618,plain,
! [J_562,A_563,I_561] :
( ~ q4(J_562,A_563)
| q4(I_561,I_561) ),
inference(demodulation,[status(thm),theory(equality)],[c_537425,c_377758,c_668]) ).
tff(c_538619,plain,
! [J_562,A_563] : ~ q4(J_562,A_563),
inference(splitLeft,[status(thm)],[c_538618]) ).
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_549553,plain,
! [D_57335,F_57337,E_57339,B_57336,C_57338] :
( ~ m3(E_57339,F_57337,E_57339)
| ~ q2(E_57339,C_57338,B_57336)
| ~ k3(D_57335,D_57335,B_57336) ),
inference(negUnitSimplification,[status(thm)],[c_538619,c_666]) ).
tff(c_549591,plain,
! [A_57340,C_57341,B_57342,D_57343] :
( ~ q2(A_57340,C_57341,B_57342)
| ~ k3(D_57343,D_57343,B_57342) ),
inference(resolution,[status(thm)],[c_377764,c_549553]) ).
tff(c_549593,plain,
! [D_57343] : ~ k3(D_57343,D_57343,d),
inference(resolution,[status(thm)],[c_547650,c_549591]) ).
tff(c_549605,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_549044,c_549593]) ).
tff(c_549606,plain,
! [I_561] : q4(I_561,I_561),
inference(splitRight,[status(thm)],[c_538618]) ).
tff(c_644,plain,
! [H_527,I_528] :
( ~ m3(H_527,H_527,H_527)
| ~ k4(I_528)
| n4(H_527,H_527) ),
inference(cnfTransformation,[status(thm)],[f_2391]) ).
tff(c_537457,plain,
! [I_528,H_527] :
( ~ k4(I_528)
| n4(H_527,H_527) ),
inference(demodulation,[status(thm),theory(equality)],[c_377764,c_644]) ).
tff(c_537458,plain,
! [I_528] : ~ k4(I_528),
inference(splitLeft,[status(thm)],[c_537457]) ).
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_234655,plain,
! [I_27330,G_27331,H_27332] :
( ~ n0(I_27330,G_27331)
| ~ q2(I_27330,G_27331,H_27332)
| q3(G_27331,H_27332) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_234878,plain,
! [G_27355,H_27356] :
( ~ n0(G_27355,G_27355)
| q3(G_27355,H_27356)
| ~ l1(H_27356,G_27355) ),
inference(resolution,[status(thm)],[c_448,c_234655]) ).
tff(c_234882,plain,
! [H_27357] :
( q3(e,H_27357)
| ~ l1(H_27357,e) ),
inference(resolution,[status(thm)],[c_60,c_234878]) ).
tff(c_336,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(cnfTransformation,[status(thm)],[f_1112]) ).
tff(c_14304,plain,
~ l1(e,e),
inference(splitLeft,[status(thm)],[c_336]) ).
tff(c_14328,plain,
! [H_2648,G_2649] :
( ~ n0(H_2648,G_2649)
| l1(G_2649,G_2649) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_14338,plain,
l1(e,e),
inference(resolution,[status(thm)],[c_60,c_14328]) ).
tff(c_14352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14304,c_14338]) ).
tff(c_14354,plain,
l1(e,e),
inference(splitRight,[status(thm)],[c_336]) ).
tff(c_214929,plain,
! [G_24912,F_24913] :
( ~ l1(G_24912,F_24913)
| p2(F_24913,F_24913,F_24913) ),
inference(cnfTransformation,[status(thm)],[f_1480]) ).
tff(c_214944,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[c_14354,c_214929]) ).
tff(c_556,plain,
! [E_432,F_433,D_431] :
( ~ p2(E_432,F_433,D_431)
| n3(D_431) ),
inference(cnfTransformation,[status(thm)],[f_2007]) ).
tff(c_214949,plain,
n3(e),
inference(resolution,[status(thm)],[c_214944,c_556]) ).
tff(c_624,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnfTransformation,[status(thm)],[f_2307]) ).
tff(c_740,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_624]) ).
tff(c_214974,plain,
( ~ q3(e,b)
| k4(c) ),
inference(demodulation,[status(thm),theory(equality)],[c_214949,c_740]) ).
tff(c_214975,plain,
~ q3(e,b),
inference(splitLeft,[status(thm)],[c_214974]) ).
tff(c_234886,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[c_234882,c_214975]) ).
tff(c_36,plain,
p0(c,b),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_54,plain,
m0(e,b,c),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_236248,plain,
! [F_13] : ~ r0(F_13),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_236251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236248,c_18]) ).
tff(c_236289,plain,
! [D_27485,C_27486,E_27487] :
( ~ m0(D_27485,C_27486,E_27487)
| ~ p0(E_27487,C_27486)
| l1(C_27486,D_27485) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_236304,plain,
( ~ p0(c,b)
| l1(b,e) ),
inference(resolution,[status(thm)],[c_54,c_236289]) ).
tff(c_236320,plain,
l1(b,e),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_236304]) ).
tff(c_236322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234886,c_236320]) ).
tff(c_236323,plain,
k4(c),
inference(splitRight,[status(thm)],[c_214974]) ).
tff(c_537460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_537458,c_236323]) ).
tff(c_537461,plain,
! [H_527] : n4(H_527,H_527),
inference(splitRight,[status(thm)],[c_537457]) ).
tff(c_496,plain,
! [D_385] :
( ~ n2(D_385)
| k3(D_385,D_385,D_385) ),
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_377756,plain,
! [D_385] : k3(D_385,D_385,D_385),
inference(demodulation,[status(thm),theory(equality)],[c_377753,c_496]) ).
tff(c_537462,plain,
! [H_56426] : n4(H_56426,H_56426),
inference(splitRight,[status(thm)],[c_537457]) ).
tff(c_694,plain,
! [I_592,H_591] :
( ~ n4(I_592,H_591)
| n5(H_591,H_591) ),
inference(cnfTransformation,[status(thm)],[f_2601]) ).
tff(c_537465,plain,
! [H_56426] : n5(H_56426,H_56426),
inference(resolution,[status(thm)],[c_537462,c_694]) ).
tff(c_650,plain,
! [B_534,C_535] :
( ~ k3(B_534,B_534,C_535)
| p4(B_534,C_535,B_534) ),
inference(cnfTransformation,[status(thm)],[f_2412]) ).
tff(c_565194,plain,
! [E_58402,C_58403,B_58399,D_58401,F_58400] :
( ~ n5(F_58400,C_58403)
| ~ p4(F_58400,F_58400,C_58403)
| ~ n4(B_58399,E_58402)
| ~ q4(D_58401,E_58402)
| n5(B_58399,C_58403) ),
inference(cnfTransformation,[status(thm)],[f_2588]) ).
tff(c_565220,plain,
! [C_535,B_58399,E_58402,D_58401] :
( ~ n5(C_535,C_535)
| ~ n4(B_58399,E_58402)
| ~ q4(D_58401,E_58402)
| n5(B_58399,C_535)
| ~ k3(C_535,C_535,C_535) ),
inference(resolution,[status(thm)],[c_650,c_565194]) ).
tff(c_565253,plain,
! [B_58407,E_58408,D_58409,C_58410] :
( ~ n4(B_58407,E_58408)
| ~ q4(D_58409,E_58408)
| n5(B_58407,C_58410) ),
inference(demodulation,[status(thm),theory(equality)],[c_377756,c_537465,c_565220]) ).
tff(c_565304,plain,
! [D_58413,H_58414,C_58415] :
( ~ q4(D_58413,H_58414)
| n5(H_58414,C_58415) ),
inference(resolution,[status(thm)],[c_537461,c_565253]) ).
tff(c_565307,plain,
! [I_561,C_58415] : n5(I_561,C_58415),
inference(resolution,[status(thm)],[c_549606,c_565304]) ).
tff(c_738,plain,
~ n5(e,a),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_565315,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_565307,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % 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 : n016.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 17:56:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 131.24/114.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 131.24/114.82
% 131.24/114.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 131.24/114.89
% 131.24/114.89 Inference rules
% 131.24/114.89 ----------------------
% 131.24/114.89 #Ref : 0
% 131.24/114.89 #Sup : 101835
% 131.24/114.89 #Fact : 0
% 131.24/114.89 #Define : 0
% 131.24/114.89 #Split : 9096
% 131.24/114.89 #Chain : 0
% 131.24/114.89 #Close : 0
% 131.24/114.89
% 131.24/114.89 Ordering : KBO
% 131.24/114.89
% 131.24/114.89 Simplification rules
% 131.24/114.89 ----------------------
% 131.24/114.89 #Subsume : 33709
% 131.24/114.89 #Demod : 101487
% 131.24/114.89 #Tautology : 58895
% 131.24/114.89 #SimpNegUnit : 7223
% 131.24/114.89 #BackRed : 7537
% 131.24/114.89
% 131.24/114.89 #Partial instantiations: 0
% 131.24/114.89 #Strategies tried : 1
% 131.24/114.89
% 131.24/114.89 Timing (in seconds)
% 131.24/114.89 ----------------------
% 131.24/114.90 Preprocessing : 0.97
% 131.24/114.90 Parsing : 0.54
% 131.24/114.90 CNF conversion : 0.08
% 131.24/114.90 Main loop : 112.71
% 131.24/114.90 Inferencing : 32.68
% 131.24/114.90 Reduction : 47.25
% 131.24/114.90 Demodulation : 33.48
% 131.24/114.90 BG Simplification : 0.40
% 131.24/114.90 Subsumption : 24.93
% 131.24/114.90 Abstraction : 0.92
% 131.24/114.90 MUC search : 0.00
% 131.24/114.90 Cooper : 0.00
% 131.24/114.90 Total : 113.80
% 131.24/114.90 Index Insertion : 0.00
% 131.24/114.90 Index Deletion : 0.00
% 131.24/114.90 Index Matching : 0.00
% 131.24/114.90 BG Taut test : 0.00
%------------------------------------------------------------------------------