TSTP Solution File: SYN037-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN037-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n009.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 11:09:04 EDT 2023
% Result : Unsatisfiable 3.47s 1.90s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 169 ( 83 unt; 15 typ; 0 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 271 ( 120 ~; 151 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 91 (; 91 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > fz5 > fz2 > fy3 > fy > m3 > m2 > m1 > cx > cw > cvv > cv > cuu > cu
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fz5,type,
fz5: $i > $i ).
tff(m3,type,
m3: $o ).
tff(cv,type,
cv: $i ).
tff(m2,type,
m2: $o ).
tff(cvv,type,
cvv: $i ).
tff(q,type,
q: $i > $o ).
tff(p,type,
p: $i > $o ).
tff(cw,type,
cw: $i ).
tff(cu,type,
cu: $i ).
tff(m1,type,
m1: $o ).
tff(cx,type,
cx: $i ).
tff(fz2,type,
fz2: $i > $i ).
tff(fy,type,
fy: $i > $i ).
tff(cuu,type,
cuu: $i ).
tff(fy3,type,
fy3: $i > $i ).
tff(f_215,axiom,
( m1
| q(cu) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( m2
| p(cv) ),
file(unknown,unknown) ).
tff(f_201,axiom,
! [V1,Vv1] :
( ~ m2
| ~ p(V1)
| p(Vv1) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X1] :
( ~ m1
| ~ m3
| p(X1)
| p(fy(X1)) ),
file(unknown,unknown) ).
tff(f_193,axiom,
! [U1,Uu1] :
( ~ m1
| ~ q(U1)
| q(Uu1) ),
file(unknown,unknown) ).
tff(f_109,axiom,
! [W2] :
( ~ m2
| m3
| q(W2)
| q(fz5(W2)) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X1] :
( ~ m1
| ~ m3
| ~ p(X1)
| ~ p(fy(X1)) ),
file(unknown,unknown) ).
tff(f_100,axiom,
! [W2] :
( ~ m2
| ~ q(W2)
| ~ q(fz5(W2))
| m3 ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [Y5] :
( ~ m1
| ~ p(Y5)
| m3
| p(cx) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [Y4] :
( ~ m1
| ~ p(cx)
| m3
| p(Y4) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [W1] :
( ~ m3
| m2
| q(W1)
| q(fz2(W1)) ),
file(unknown,unknown) ).
tff(f_205,axiom,
( ~ p(cvv)
| m2 ),
file(unknown,unknown) ).
tff(f_140,axiom,
! [W1] :
( ~ m3
| ~ q(W1)
| ~ q(fz2(W1))
| m2 ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [Z] :
( ~ m2
| ~ m3
| ~ q(Z)
| q(cw) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X2] :
( m1
| m3
| p(X2)
| p(fy3(X2)) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [Z1] :
( ~ m2
| ~ m3
| ~ q(cw)
| q(Z1) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ~ q(cuu)
| m1 ),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X2] :
( ~ p(X2)
| ~ p(fy3(X2))
| m1
| m3 ),
file(unknown,unknown) ).
tff(f_119,axiom,
! [Y1] :
( ~ m3
| ~ p(cx)
| m1
| p(Y1) ),
file(unknown,unknown) ).
tff(f_177,axiom,
! [Z3] :
( ~ q(Z3)
| m2
| m3
| q(cw) ),
file(unknown,unknown) ).
tff(f_168,axiom,
! [Z4] :
( ~ q(cw)
| m2
| m3
| q(Z4) ),
file(unknown,unknown) ).
tff(f_129,axiom,
! [Y2] :
( ~ m3
| ~ p(Y2)
| m1
| p(cx) ),
file(unknown,unknown) ).
tff(c_44,plain,
( q(cu)
| m1 ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_45,plain,
m1,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_42,plain,
( p(cv)
| m2 ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_46,plain,
m2,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_36,plain,
! [Vv1_20,V1_19] :
( p(Vv1_20)
| ~ p(V1_19)
| ~ m2 ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_122,plain,
! [Vv1_20,V1_19] :
( p(Vv1_20)
| ~ p(V1_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_36]) ).
tff(c_123,plain,
! [V1_19] : ~ p(V1_19),
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_4,plain,
! [X1_2] :
( p(fy(X1_2))
| p(X1_2)
| ~ m3
| ~ m1 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_151,plain,
! [X1_2] :
( p(fy(X1_2))
| p(X1_2)
| ~ m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_4]) ).
tff(c_152,plain,
~ m3,
inference(negUnitSimplification,[status(thm)],[c_123,c_123,c_151]) ).
tff(c_54,plain,
! [Vv1_20,V1_19] :
( p(Vv1_20)
| ~ p(V1_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_36]) ).
tff(c_55,plain,
! [V1_19] : ~ p(V1_19),
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_34,plain,
! [Uu1_18,U1_17] :
( q(Uu1_18)
| ~ q(U1_17)
| ~ m1 ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_50,plain,
! [Uu1_18,U1_17] :
( q(Uu1_18)
| ~ q(U1_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_34]) ).
tff(c_51,plain,
! [U1_17] : ~ q(U1_17),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_16,plain,
! [W2_8] :
( q(fz5(W2_8))
| q(W2_8)
| m3
| ~ m2 ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_83,plain,
! [W2_8] :
( q(fz5(W2_8))
| q(W2_8)
| m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_16]) ).
tff(c_84,plain,
m3,
inference(negUnitSimplification,[status(thm)],[c_51,c_51,c_83]) ).
tff(c_86,plain,
! [X1_2] :
( p(fy(X1_2))
| p(X1_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_84,c_4]) ).
tff(c_87,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55,c_55,c_86]) ).
tff(c_88,plain,
! [Vv1_20] : p(Vv1_20),
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_2,plain,
! [X1_1] :
( ~ p(fy(X1_1))
| ~ p(X1_1)
| ~ m3
| ~ m1 ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_111,plain,
~ m3,
inference(demodulation,[status(thm),theory(equality)],[c_45,c_88,c_88,c_2]) ).
tff(c_117,plain,
! [W2_8] :
( q(fz5(W2_8))
| q(W2_8)
| m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_16]) ).
tff(c_118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_51,c_51,c_117]) ).
tff(c_119,plain,
! [Uu1_18] : q(Uu1_18),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_14,plain,
! [W2_7] :
( m3
| ~ q(fz5(W2_7))
| ~ q(W2_7)
| ~ m2 ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_154,plain,
m3,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_119,c_119,c_14]) ).
tff(c_155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152,c_154]) ).
tff(c_156,plain,
! [Vv1_20] : p(Vv1_20),
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_178,plain,
~ m3,
inference(demodulation,[status(thm),theory(equality)],[c_45,c_156,c_156,c_2]) ).
tff(c_183,plain,
m3,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_119,c_119,c_14]) ).
tff(c_184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178,c_183]) ).
tff(c_186,plain,
~ m2,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_8,plain,
! [Y5_4] :
( p(cx)
| m3
| ~ p(Y5_4)
| ~ m1 ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_268,plain,
! [Y5_4] :
( p(cx)
| m3
| ~ p(Y5_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_8]) ).
tff(c_269,plain,
! [Y5_4] : ~ p(Y5_4),
inference(splitLeft,[status(thm)],[c_268]) ).
tff(c_185,plain,
p(cv),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269,c_185]) ).
tff(c_272,plain,
( m3
| p(cx) ),
inference(splitRight,[status(thm)],[c_268]) ).
tff(c_273,plain,
p(cx),
inference(splitLeft,[status(thm)],[c_272]) ).
tff(c_6,plain,
! [Y4_3] :
( p(Y4_3)
| m3
| ~ p(cx)
| ~ m1 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_283,plain,
! [Y4_3] :
( p(Y4_3)
| m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_273,c_6]) ).
tff(c_284,plain,
m3,
inference(splitLeft,[status(thm)],[c_283]) ).
tff(c_190,plain,
! [Uu1_18,U1_17] :
( q(Uu1_18)
| ~ q(U1_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_34]) ).
tff(c_191,plain,
! [U1_17] : ~ q(U1_17),
inference(splitLeft,[status(thm)],[c_190]) ).
tff(c_194,plain,
! [Y5_4] :
( p(cx)
| m3
| ~ p(Y5_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_8]) ).
tff(c_195,plain,
! [Y5_4] : ~ p(Y5_4),
inference(splitLeft,[status(thm)],[c_194]) ).
tff(c_197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195,c_185]) ).
tff(c_198,plain,
( m3
| p(cx) ),
inference(splitRight,[status(thm)],[c_194]) ).
tff(c_200,plain,
p(cx),
inference(splitLeft,[status(thm)],[c_198]) ).
tff(c_207,plain,
! [Y4_3] :
( p(Y4_3)
| m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_200,c_6]) ).
tff(c_208,plain,
m3,
inference(splitLeft,[status(thm)],[c_207]) ).
tff(c_24,plain,
! [W1_12] :
( q(fz2(W1_12))
| q(W1_12)
| m2
| ~ m3 ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_230,plain,
! [W1_12] :
( q(fz2(W1_12))
| q(W1_12)
| m2 ),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_24]) ).
tff(c_231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_191,c_191,c_230]) ).
tff(c_232,plain,
! [Y4_3] : p(Y4_3),
inference(splitRight,[status(thm)],[c_207]) ).
tff(c_38,plain,
( m2
| ~ p(cvv) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_187,plain,
~ p(cvv),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_238,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_187]) ).
tff(c_239,plain,
m3,
inference(splitRight,[status(thm)],[c_198]) ).
tff(c_263,plain,
! [W1_12] :
( q(fz2(W1_12))
| q(W1_12)
| m2 ),
inference(demodulation,[status(thm),theory(equality)],[c_239,c_24]) ).
tff(c_264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_191,c_191,c_263]) ).
tff(c_265,plain,
! [Uu1_18] : q(Uu1_18),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_22,plain,
! [W1_11] :
( m2
| ~ q(fz2(W1_11))
| ~ q(W1_11)
| ~ m3 ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_306,plain,
m2,
inference(demodulation,[status(thm),theory(equality)],[c_284,c_265,c_265,c_22]) ).
tff(c_307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_306]) ).
tff(c_308,plain,
! [Y4_3] : p(Y4_3),
inference(splitRight,[status(thm)],[c_283]) ).
tff(c_314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308,c_187]) ).
tff(c_315,plain,
m3,
inference(splitRight,[status(thm)],[c_272]) ).
tff(c_349,plain,
m2,
inference(demodulation,[status(thm),theory(equality)],[c_315,c_265,c_265,c_22]) ).
tff(c_350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_349]) ).
tff(c_351,plain,
m2,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_351]) ).
tff(c_355,plain,
~ m1,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_356,plain,
m2,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_12,plain,
! [Z_6] :
( q(cw)
| ~ q(Z_6)
| ~ m3
| ~ m2 ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_406,plain,
! [Z_6] :
( q(cw)
| ~ q(Z_6)
| ~ m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_12]) ).
tff(c_407,plain,
~ m3,
inference(splitLeft,[status(thm)],[c_406]) ).
tff(c_365,plain,
! [Z_6] :
( q(cw)
| ~ q(Z_6)
| ~ m3 ),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_12]) ).
tff(c_366,plain,
~ m3,
inference(splitLeft,[status(thm)],[c_365]) ).
tff(c_360,plain,
! [Vv1_20,V1_19] :
( p(Vv1_20)
| ~ p(V1_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_36]) ).
tff(c_361,plain,
! [V1_19] : ~ p(V1_19),
inference(splitLeft,[status(thm)],[c_360]) ).
tff(c_32,plain,
! [X2_16] :
( p(fy3(X2_16))
| p(X2_16)
| m3
| m1 ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355,c_366,c_361,c_361,c_32]) ).
tff(c_384,plain,
m3,
inference(splitRight,[status(thm)],[c_365]) ).
tff(c_383,plain,
! [Z_6] :
( ~ q(Z_6)
| q(cw) ),
inference(splitRight,[status(thm)],[c_365]) ).
tff(c_385,plain,
! [Z_6] : ~ q(Z_6),
inference(splitLeft,[status(thm)],[c_383]) ).
tff(c_354,plain,
q(cu),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385,c_354]) ).
tff(c_388,plain,
q(cw),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_10,plain,
! [Z1_5] :
( q(Z1_5)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_395,plain,
! [Z1_5] : q(Z1_5),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_384,c_388,c_10]) ).
tff(c_40,plain,
( m1
| ~ q(cuu) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_357,plain,
~ q(cuu),
inference(negUnitSimplification,[status(thm)],[c_355,c_40]) ).
tff(c_400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_395,c_357]) ).
tff(c_401,plain,
! [Vv1_20] : p(Vv1_20),
inference(splitRight,[status(thm)],[c_360]) ).
tff(c_26,plain,
! [X2_13] :
( m3
| m1
| ~ p(fy3(X2_13))
| ~ p(X2_13) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_441,plain,
( m3
| m1 ),
inference(demodulation,[status(thm),theory(equality)],[c_401,c_401,c_26]) ).
tff(c_442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355,c_407,c_441]) ).
tff(c_444,plain,
m3,
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_443,plain,
! [Z_6] :
( ~ q(Z_6)
| q(cw) ),
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_448,plain,
! [Z_6] : ~ q(Z_6),
inference(splitLeft,[status(thm)],[c_443]) ).
tff(c_450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_354]) ).
tff(c_451,plain,
q(cw),
inference(splitRight,[status(thm)],[c_443]) ).
tff(c_456,plain,
! [Z1_5] : q(Z1_5),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_444,c_451,c_10]) ).
tff(c_461,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_456,c_357]) ).
tff(c_463,plain,
~ m2,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_18,plain,
! [Y1_9] :
( p(Y1_9)
| m1
| ~ p(cx)
| ~ m3 ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_466,plain,
! [Y1_9] :
( p(Y1_9)
| ~ p(cx)
| ~ m3 ),
inference(negUnitSimplification,[status(thm)],[c_355,c_18]) ).
tff(c_467,plain,
~ m3,
inference(splitLeft,[status(thm)],[c_466]) ).
tff(c_30,plain,
! [Z3_15] :
( q(cw)
| m3
| m2
| ~ q(Z3_15) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_469,plain,
! [Z3_15] :
( q(cw)
| ~ q(Z3_15) ),
inference(negUnitSimplification,[status(thm)],[c_463,c_467,c_30]) ).
tff(c_470,plain,
! [Z3_15] : ~ q(Z3_15),
inference(splitLeft,[status(thm)],[c_469]) ).
tff(c_472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_470,c_354]) ).
tff(c_473,plain,
q(cw),
inference(splitRight,[status(thm)],[c_469]) ).
tff(c_28,plain,
! [Z4_14] :
( q(Z4_14)
| m3
| m2
| ~ q(cw) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_476,plain,
! [Z4_14] :
( q(Z4_14)
| m3
| m2 ),
inference(demodulation,[status(thm),theory(equality)],[c_473,c_28]) ).
tff(c_477,plain,
! [Z4_14] : q(Z4_14),
inference(negUnitSimplification,[status(thm)],[c_463,c_467,c_476]) ).
tff(c_464,plain,
~ q(cuu),
inference(negUnitSimplification,[status(thm)],[c_355,c_40]) ).
tff(c_482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_464]) ).
tff(c_483,plain,
! [Y1_9] :
( ~ p(cx)
| p(Y1_9) ),
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_485,plain,
~ p(cx),
inference(splitLeft,[status(thm)],[c_483]) ).
tff(c_484,plain,
m3,
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_20,plain,
! [Y2_10] :
( p(cx)
| m1
| ~ p(Y2_10)
| ~ m3 ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_494,plain,
! [Y2_10] :
( p(cx)
| m1
| ~ p(Y2_10) ),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_20]) ).
tff(c_495,plain,
! [Y2_10] : ~ p(Y2_10),
inference(negUnitSimplification,[status(thm)],[c_355,c_485,c_494]) ).
tff(c_462,plain,
p(cv),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_495,c_462]) ).
tff(c_498,plain,
! [Y1_9] : p(Y1_9),
inference(splitRight,[status(thm)],[c_483]) ).
tff(c_465,plain,
~ p(cvv),
inference(negUnitSimplification,[status(thm)],[c_463,c_38]) ).
tff(c_503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 17:11:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.47/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.52/1.92
% 3.52/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.52/1.98
% 3.52/1.98 Inference rules
% 3.52/1.98 ----------------------
% 3.52/1.98 #Ref : 0
% 3.52/1.98 #Sup : 4
% 3.52/1.98 #Fact : 0
% 3.52/1.98 #Define : 0
% 3.52/1.98 #Split : 23
% 3.52/1.98 #Chain : 0
% 3.52/1.98 #Close : 0
% 3.52/1.98
% 3.52/1.98 Ordering : KBO
% 3.52/1.98
% 3.52/1.98 Simplification rules
% 3.52/1.98 ----------------------
% 3.52/1.98 #Subsume : 78
% 3.52/1.98 #Demod : 292
% 3.52/1.98 #Tautology : 73
% 3.52/1.98 #SimpNegUnit : 83
% 3.52/1.98 #BackRed : 12
% 3.52/1.98
% 3.52/1.98 #Partial instantiations: 0
% 3.52/1.98 #Strategies tried : 1
% 3.52/1.98
% 3.52/1.98 Timing (in seconds)
% 3.52/1.98 ----------------------
% 3.52/1.98 Preprocessing : 0.47
% 3.52/1.98 Parsing : 0.25
% 3.52/1.98 CNF conversion : 0.03
% 3.52/1.98 Main loop : 0.33
% 3.52/1.98 Inferencing : 0.10
% 3.52/1.98 Reduction : 0.10
% 3.52/1.98 Demodulation : 0.06
% 3.52/1.98 BG Simplification : 0.02
% 3.52/1.98 Subsumption : 0.06
% 3.52/1.98 Abstraction : 0.02
% 3.52/1.98 MUC search : 0.00
% 3.52/1.98 Cooper : 0.00
% 3.52/1.98 Total : 0.89
% 3.52/1.98 Index Insertion : 0.00
% 3.52/1.98 Index Deletion : 0.00
% 3.52/1.98 Index Matching : 0.00
% 3.52/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------