%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN142-1 : 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 : n025.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 108.60s 90.49s
% Output : CNFRefutation 108.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 116 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 239 ( 124 ~; 115 |; 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 : 153 ( 153 !; 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_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_2042,axiom,
! [H] :
( p3(H,H,H)
| ~ n2(H) ),
file(unknown,unknown) ).
tff(f_2566,axiom,
! [B] :
( m5(B,B)
| ~ s4(B)
| ~ m4(e,e) ),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_70,axiom,
m0(a,e,e),
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_1123,axiom,
! [D,E] :
( l2(D,E)
| ~ s1(D)
| ~ n0(e,E)
| ~ l2(E,E) ),
file(unknown,unknown) ).
tff(f_61,axiom,
m0(c,b,a),
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_85,axiom,
m0(b,a,a),
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_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_1524,axiom,
! [I] :
( q2(I,I,I)
| ~ p1(I,I,I) ),
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_2350,axiom,
! [E,F,G] :
( m4(E,F)
| ~ l2(G,F)
| ~ s3(a,E) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ m5(d,X),
file(unknown,unknown) ).
tff(f_81,axiom,
n0(c,d),
file(unknown,unknown) ).
tff(f_2522,axiom,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_294643,plain,
! [C_32420,B_32421] :
( ~ p0(C_32420,B_32421)
| p1(B_32421,B_32421,B_32421) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_294661,plain,
! [X_32422] : p1(X_32422,X_32422,X_32422),
inference(resolution,[status(thm)],[c_28,c_294643]) ).
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_294665,plain,
! [X_32422] : n2(X_32422),
inference(resolution,[status(thm)],[c_294661,c_350]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_294676,plain,
! [H_442] : p3(H_442,H_442,H_442),
inference(demodulation,[status(thm),theory(equality)],[c_294665,c_564]) ).
tff(c_686,plain,
! [B_581] :
( ~ m4(e,e)
| ~ s4(B_581)
| m5(B_581,B_581) ),
inference(cnfTransformation,[status(thm)],[f_2566]) ).
tff(c_322207,plain,
~ m4(e,e),
inference(splitLeft,[status(thm)],[c_686]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_46,plain,
m0(a,e,e),
inference(cnfTransformation,[status(thm)],[f_70]) ).
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_322089,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_14323,plain,
! [I_2684] :
( ~ p0(I_2684,I_2684)
| s1(I_2684) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_14328,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_14323]) ).
tff(c_322093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322089,c_14328]) ).
tff(c_322095,plain,
! [F_35018,G_35019] :
( ~ q0(F_35018,G_35019)
| s1(F_35018) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_322118,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_322095]) ).
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_371895,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_322118,c_342]) ).
tff(c_371897,plain,
! [A_39395] : ~ p0(A_39395,A_39395),
inference(splitLeft,[status(thm)],[c_371895]) ).
tff(c_371902,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_371897]) ).
tff(c_371910,plain,
! [C_39396,B_39397,J_39398] :
( ~ m0(C_39396,B_39397,J_39398)
| l2(J_39398,J_39398) ),
inference(splitRight,[status(thm)],[c_371895]) ).
tff(c_371927,plain,
l2(e,e),
inference(resolution,[status(thm)],[c_46,c_371910]) ).
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_363027,plain,
! [E_245,D_244] :
( ~ l2(E_245,E_245)
| ~ n0(e,E_245)
| l2(D_244,E_245) ),
inference(demodulation,[status(thm),theory(equality)],[c_322118,c_338]) ).
tff(c_371936,plain,
! [D_244] :
( ~ n0(e,e)
| l2(D_244,e) ),
inference(resolution,[status(thm)],[c_371927,c_363027]) ).
tff(c_371939,plain,
! [D_244] : l2(D_244,e),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_371936]) ).
tff(c_32,plain,
m0(c,b,a),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_372125,plain,
! [I_39413,J_39414,H_39415,A_39416] :
( ~ m0(I_39413,J_39414,H_39415)
| ~ m0(J_39414,A_39416,A_39416)
| n1(H_39415,H_39415,I_39413) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_372144,plain,
! [A_39416] :
( ~ m0(b,A_39416,A_39416)
| n1(a,a,c) ),
inference(resolution,[status(thm)],[c_32,c_372125]) ).
tff(c_372205,plain,
! [A_39416] : ~ m0(b,A_39416,A_39416),
inference(splitLeft,[status(thm)],[c_372144]) ).
tff(c_76,plain,
m0(b,a,a),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_372207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372205,c_76]) ).
tff(c_372208,plain,
n1(a,a,c),
inference(splitRight,[status(thm)],[c_372144]) ).
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_372212,plain,
( ~ q3(c,a)
| ~ s2(a)
| q3(a,c) ),
inference(resolution,[status(thm)],[c_372208,c_590]) ).
tff(c_374864,plain,
~ s2(a),
inference(splitLeft,[status(thm)],[c_372212]) ).
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_14419,plain,
! [H_2724,G_2725] :
( ~ n0(H_2724,G_2725)
| l1(G_2725,G_2725) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_14437,plain,
l1(a,a),
inference(resolution,[status(thm)],[c_74,c_14419]) ).
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_375900,plain,
! [E_39674,F_39675,G_39676] :
( ~ n1(E_39674,F_39675,E_39674)
| ~ l1(G_39676,E_39674)
| ~ l0(G_39676)
| n1(E_39674,F_39675,F_39675) ),
inference(cnfTransformation,[status(thm)],[f_521]) ).
tff(c_380093,plain,
! [G_39942,D_39943,E_39944] :
( ~ l1(G_39942,D_39943)
| ~ l0(G_39942)
| n1(D_39943,E_39944,E_39944)
| ~ l0(D_39943) ),
inference(resolution,[status(thm)],[c_826,c_375900]) ).
tff(c_380103,plain,
! [E_39944] :
( n1(a,E_39944,E_39944)
| ~ l0(a) ),
inference(resolution,[status(thm)],[c_14437,c_380093]) ).
tff(c_380137,plain,
! [E_39946] : n1(a,E_39946,E_39946),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_380103]) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_294650,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_294643]) ).
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_345904,plain,
! [F_321,E_320] :
( ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_294650,c_430]) ).
tff(c_378675,plain,
! [G_39852,H_39853,F_39854] :
( ~ q2(G_39852,H_39853,F_39854)
| ~ n1(G_39852,F_39854,H_39853)
| ~ p1(F_39854,F_39854,H_39853)
| q2(F_39854,G_39852,F_39854) ),
inference(cnfTransformation,[status(thm)],[f_1535]) ).
tff(c_378681,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_345904,c_378675]) ).
tff(c_379663,plain,
! [E_39918,F_39919] :
( ~ n1(E_39918,F_39919,F_39919)
| q2(F_39919,E_39918,F_39919)
| ~ k0(F_39919) ),
inference(demodulation,[status(thm),theory(equality)],[c_294650,c_378681]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_324796,plain,
! [H_345] :
( ~ q2(b,H_345,b)
| s2(H_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_322118,c_454]) ).
tff(c_379678,plain,
! [E_39918] :
( s2(E_39918)
| ~ n1(E_39918,b,b)
| ~ k0(b) ),
inference(resolution,[status(thm)],[c_379663,c_324796]) ).
tff(c_379689,plain,
! [E_39918] :
( s2(E_39918)
| ~ n1(E_39918,b,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_379678]) ).
tff(c_380141,plain,
s2(a),
inference(resolution,[status(thm)],[c_380137,c_379689]) ).
tff(c_380152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374864,c_380141]) ).
tff(c_380154,plain,
s2(a),
inference(splitRight,[status(thm)],[c_372212]) ).
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_322160,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_294650,c_438]) ).
tff(c_382291,plain,
! [A_40065,B_40066,J_40067,I_40068] :
( ~ m0(A_40065,B_40066,J_40067)
| ~ s2(I_40068)
| ~ q2(A_40065,I_40068,A_40065)
| s3(I_40068,J_40067) ),
inference(cnfTransformation,[status(thm)],[f_2297]) ).
tff(c_383115,plain,
! [I_40126] :
( ~ s2(I_40126)
| ~ q2(a,I_40126,a)
| s3(I_40126,e) ),
inference(resolution,[status(thm)],[c_46,c_382291]) ).
tff(c_383127,plain,
( ~ s2(a)
| s3(a,e) ),
inference(resolution,[status(thm)],[c_322160,c_383115]) ).
tff(c_383140,plain,
s3(a,e),
inference(demodulation,[status(thm),theory(equality)],[c_380154,c_383127]) ).
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_383186,plain,
! [G_40132,F_40133] :
( ~ l2(G_40132,F_40133)
| m4(e,F_40133) ),
inference(resolution,[status(thm)],[c_383140,c_634]) ).
tff(c_383188,plain,
m4(e,e),
inference(resolution,[status(thm)],[c_371939,c_383186]) ).
tff(c_383196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322207,c_383188]) ).
tff(c_383200,plain,
! [B_40136] :
( ~ s4(B_40136)
| m5(B_40136,B_40136) ),
inference(splitRight,[status(thm)],[c_686]) ).
tff(c_738,plain,
! [X_627] : ~ m5(d,X_627),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_383205,plain,
~ s4(d),
inference(resolution,[status(thm)],[c_383200,c_738]) ).
tff(c_68,plain,
n0(c,d),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_14443,plain,
l1(d,d),
inference(resolution,[status(thm)],[c_68,c_14419]) ).
tff(c_384252,plain,
! [A_40322,C_40323,B_40324,D_40325] :
( ~ l1(A_40322,C_40323)
| ~ p3(B_40324,C_40323,D_40325)
| s4(A_40322) ),
inference(cnfTransformation,[status(thm)],[f_2522]) ).
tff(c_384256,plain,
! [B_40324,D_40325] :
( ~ p3(B_40324,d,D_40325)
| s4(d) ),
inference(resolution,[status(thm)],[c_14443,c_384252]) ).
tff(c_384271,plain,
! [B_40326,D_40327] : ~ p3(B_40326,d,D_40327),
inference(negUnitSimplification,[status(thm)],[c_383205,c_384256]) ).
tff(c_384276,plain,
$false,
inference(resolution,[status(thm)],[c_294676,c_384271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN142-1 : TPTP v9.0.0. Released v1.1.0.
% 0.08/0.14 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Apr 9 07:00:35 EDT 2025
% 0.15/0.36 % CPUTime :
% 108.60/90.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 108.60/90.50
% 108.60/90.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------