%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NLP001-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 07:47:48 PM UTC 2025
% Result : Unsatisfiable 3.34s 1.89s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 102 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 381 ( 189 ~; 192 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 16 ( 15 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > down > barrel > white > way > street > old > lonely > hollywood > event > dirty > city > chevy > car > #nlpp > ssSkC0 > skc9 > skc8 > skc15 > skc14 > skc13 > skc12 > skc11 > skc10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(down,type,
down: ( $i * $i ) > $o ).
tff(old,type,
old: $i > $o ).
tff(skc11,type,
skc11: $i ).
tff(hollywood,type,
hollywood: $i > $o ).
tff(skc9,type,
skc9: $i ).
tff(city,type,
city: $i > $o ).
tff(way,type,
way: $i > $o ).
tff(skc8,type,
skc8: $i ).
tff(skc14,type,
skc14: $i ).
tff(skc13,type,
skc13: $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff(chevy,type,
chevy: $i > $o ).
tff(white,type,
white: $i > $o ).
tff(barrel,type,
barrel: ( $i * $i ) > $o ).
tff(skc15,type,
skc15: $i ).
tff(dirty,type,
dirty: $i > $o ).
tff(event,type,
event: $i > $o ).
tff(car,type,
car: $i > $o ).
tff(street,type,
street: $i > $o ).
tff(skc12,type,
skc12: $i ).
tff(ssSkC0,type,
ssSkC0: $o ).
tff(skc10,type,
skc10: $i ).
tff(lonely,type,
lonely: $i > $o ).
tff(f_32,axiom,
lonely(skc8),
file(unknown,unknown) ).
tff(f_28,axiom,
old(skc12),
file(unknown,unknown) ).
tff(f_69,axiom,
( ~ ssSkC0
| dirty(skc9) ),
file(unknown,unknown) ).
tff(f_44,axiom,
( ssSkC0
| dirty(skc12) ),
file(unknown,unknown) ).
tff(f_41,axiom,
( ssSkC0
| white(skc12) ),
file(unknown,unknown) ).
tff(f_38,axiom,
( ssSkC0
| car(skc12) ),
file(unknown,unknown) ).
tff(f_35,axiom,
( ssSkC0
| chevy(skc12) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ssSkC0
| barrel(skc14,skc12) ),
file(unknown,unknown) ).
tff(f_27,axiom,
street(skc13),
file(unknown,unknown) ).
tff(f_50,axiom,
( ssSkC0
| way(skc13) ),
file(unknown,unknown) ).
tff(f_47,axiom,
( ssSkC0
| lonely(skc13) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ssSkC0
| down(skc14,skc13) ),
file(unknown,unknown) ).
tff(f_26,axiom,
event(skc14),
file(unknown,unknown) ).
tff(f_53,axiom,
( ssSkC0
| city(skc15) ),
file(unknown,unknown) ).
tff(f_25,axiom,
hollywood(skc15),
file(unknown,unknown) ).
tff(f_90,axiom,
( ssSkC0
| in(skc14,skc15) ),
file(unknown,unknown) ).
tff(f_146,axiom,
! [U,V,W,X] :
( ~ street(U)
| ~ way(U)
| ~ lonely(U)
| ~ old(V)
| ~ dirty(V)
| ~ white(V)
| ~ car(V)
| ~ chevy(V)
| ~ event(W)
| ~ barrel(W,V)
| ~ down(W,U)
| ~ in(W,X)
| ~ city(X)
| ~ hollywood(X)
| ssSkC0 ),
file(unknown,unknown) ).
tff(f_61,axiom,
( ~ ssSkC0
| way(skc8) ),
file(unknown,unknown) ).
tff(f_57,axiom,
( ~ ssSkC0
| street(skc8) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ~ ssSkC0
| down(skc10,skc8) ),
file(unknown,unknown) ).
tff(f_31,axiom,
chevy(skc9),
file(unknown,unknown) ).
tff(f_77,axiom,
( ~ ssSkC0
| car(skc9) ),
file(unknown,unknown) ).
tff(f_73,axiom,
( ~ ssSkC0
| white(skc9) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ~ ssSkC0
| old(skc9) ),
file(unknown,unknown) ).
tff(f_94,axiom,
( ~ ssSkC0
| barrel(skc10,skc9) ),
file(unknown,unknown) ).
tff(f_30,axiom,
event(skc10),
file(unknown,unknown) ).
tff(f_81,axiom,
( ~ ssSkC0
| city(skc11) ),
file(unknown,unknown) ).
tff(f_29,axiom,
hollywood(skc11),
file(unknown,unknown) ).
tff(f_102,axiom,
( ~ ssSkC0
| in(skc10,skc11) ),
file(unknown,unknown) ).
tff(f_191,axiom,
! [U,V,W,X] :
( ~ chevy(U)
| ~ car(U)
| ~ white(U)
| ~ dirty(U)
| ~ old(U)
| ~ lonely(V)
| ~ way(V)
| ~ street(V)
| ~ event(W)
| ~ barrel(W,U)
| ~ down(W,V)
| ~ in(W,X)
| ~ city(X)
| ~ hollywood(X)
| ~ ssSkC0 ),
file(unknown,unknown) ).
tff(c_16,plain,
lonely(skc8),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_8,plain,
old(skc12),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_38,plain,
( dirty(skc9)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_61,plain,
~ ssSkC0,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_24,plain,
( dirty(skc12)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_66,plain,
dirty(skc12),
inference(negUnitSimplification,[status(thm)],[c_61,c_24]) ).
tff(c_22,plain,
( white(skc12)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_69,plain,
white(skc12),
inference(negUnitSimplification,[status(thm)],[c_61,c_22]) ).
tff(c_20,plain,
( car(skc12)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_71,plain,
car(skc12),
inference(negUnitSimplification,[status(thm)],[c_61,c_20]) ).
tff(c_18,plain,
( chevy(skc12)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_62,plain,
ssSkC0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_63,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61,c_62]) ).
tff(c_64,plain,
chevy(skc12),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_46,plain,
( barrel(skc14,skc12)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_73,plain,
barrel(skc14,skc12),
inference(negUnitSimplification,[status(thm)],[c_61,c_46]) ).
tff(c_6,plain,
street(skc13),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_28,plain,
( way(skc13)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_67,plain,
way(skc13),
inference(negUnitSimplification,[status(thm)],[c_61,c_28]) ).
tff(c_26,plain,
( lonely(skc13)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_68,plain,
lonely(skc13),
inference(negUnitSimplification,[status(thm)],[c_61,c_26]) ).
tff(c_48,plain,
( down(skc14,skc13)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_74,plain,
down(skc14,skc13),
inference(negUnitSimplification,[status(thm)],[c_61,c_48]) ).
tff(c_4,plain,
event(skc14),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_30,plain,
( city(skc15)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_70,plain,
city(skc15),
inference(negUnitSimplification,[status(thm)],[c_61,c_30]) ).
tff(c_2,plain,
hollywood(skc15),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_50,plain,
( in(skc14,skc15)
| ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_72,plain,
in(skc14,skc15),
inference(negUnitSimplification,[status(thm)],[c_61,c_50]) ).
tff(c_58,plain,
! [X_4,W_3,U_1,V_2] :
( ssSkC0
| ~ hollywood(X_4)
| ~ city(X_4)
| ~ in(W_3,X_4)
| ~ down(W_3,U_1)
| ~ barrel(W_3,V_2)
| ~ event(W_3)
| ~ chevy(V_2)
| ~ car(V_2)
| ~ white(V_2)
| ~ dirty(V_2)
| ~ old(V_2)
| ~ lonely(U_1)
| ~ way(U_1)
| ~ street(U_1) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_76,plain,
! [X_9,W_10,U_11,V_12] :
( ~ hollywood(X_9)
| ~ city(X_9)
| ~ in(W_10,X_9)
| ~ down(W_10,U_11)
| ~ barrel(W_10,V_12)
| ~ event(W_10)
| ~ chevy(V_12)
| ~ car(V_12)
| ~ white(V_12)
| ~ dirty(V_12)
| ~ old(V_12)
| ~ lonely(U_11)
| ~ way(U_11)
| ~ street(U_11) ),
inference(negUnitSimplification,[status(thm)],[c_61,c_58]) ).
tff(c_78,plain,
! [U_11,V_12] :
( ~ hollywood(skc15)
| ~ city(skc15)
| ~ down(skc14,U_11)
| ~ barrel(skc14,V_12)
| ~ event(skc14)
| ~ chevy(V_12)
| ~ car(V_12)
| ~ white(V_12)
| ~ dirty(V_12)
| ~ old(V_12)
| ~ lonely(U_11)
| ~ way(U_11)
| ~ street(U_11) ),
inference(resolution,[status(thm)],[c_72,c_76]) ).
tff(c_81,plain,
! [U_11,V_12] :
( ~ down(skc14,U_11)
| ~ barrel(skc14,V_12)
| ~ chevy(V_12)
| ~ car(V_12)
| ~ white(V_12)
| ~ dirty(V_12)
| ~ old(V_12)
| ~ lonely(U_11)
| ~ way(U_11)
| ~ street(U_11) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70,c_2,c_78]) ).
tff(c_83,plain,
! [U_13] :
( ~ down(skc14,U_13)
| ~ lonely(U_13)
| ~ way(U_13)
| ~ street(U_13) ),
inference(splitLeft,[status(thm)],[c_81]) ).
tff(c_86,plain,
( ~ lonely(skc13)
| ~ way(skc13)
| ~ street(skc13) ),
inference(resolution,[status(thm)],[c_74,c_83]) ).
tff(c_90,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_67,c_68,c_86]) ).
tff(c_92,plain,
! [V_14] :
( ~ barrel(skc14,V_14)
| ~ chevy(V_14)
| ~ car(V_14)
| ~ white(V_14)
| ~ dirty(V_14)
| ~ old(V_14) ),
inference(splitRight,[status(thm)],[c_81]) ).
tff(c_95,plain,
( ~ chevy(skc12)
| ~ car(skc12)
| ~ white(skc12)
| ~ dirty(skc12)
| ~ old(skc12) ),
inference(resolution,[status(thm)],[c_73,c_92]) ).
tff(c_99,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_66,c_69,c_71,c_64,c_95]) ).
tff(c_101,plain,
ssSkC0,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( way(skc8)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_120,plain,
way(skc8),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_34]) ).
tff(c_32,plain,
( street(skc8)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_107,plain,
street(skc8),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_32]) ).
tff(c_54,plain,
( down(skc10,skc8)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_126,plain,
down(skc10,skc8),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_54]) ).
tff(c_14,plain,
chevy(skc9),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_42,plain,
( car(skc9)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_111,plain,
car(skc9),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_42]) ).
tff(c_40,plain,
( white(skc9)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_118,plain,
white(skc9),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_40]) ).
tff(c_100,plain,
dirty(skc9),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_36,plain,
( old(skc9)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_109,plain,
old(skc9),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_36]) ).
tff(c_52,plain,
( barrel(skc10,skc9)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_128,plain,
barrel(skc10,skc9),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_52]) ).
tff(c_12,plain,
event(skc10),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_44,plain,
( city(skc11)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_113,plain,
city(skc11),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_44]) ).
tff(c_10,plain,
hollywood(skc11),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_56,plain,
( in(skc10,skc11)
| ~ ssSkC0 ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_123,plain,
in(skc10,skc11),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_56]) ).
tff(c_60,plain,
! [X_8,W_7,V_6,U_5] :
( ~ ssSkC0
| ~ hollywood(X_8)
| ~ city(X_8)
| ~ in(W_7,X_8)
| ~ down(W_7,V_6)
| ~ barrel(W_7,U_5)
| ~ event(W_7)
| ~ street(V_6)
| ~ way(V_6)
| ~ lonely(V_6)
| ~ old(U_5)
| ~ dirty(U_5)
| ~ white(U_5)
| ~ car(U_5)
| ~ chevy(U_5) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_132,plain,
! [X_15,W_16,V_17,U_18] :
( ~ hollywood(X_15)
| ~ city(X_15)
| ~ in(W_16,X_15)
| ~ down(W_16,V_17)
| ~ barrel(W_16,U_18)
| ~ event(W_16)
| ~ street(V_17)
| ~ way(V_17)
| ~ lonely(V_17)
| ~ old(U_18)
| ~ dirty(U_18)
| ~ white(U_18)
| ~ car(U_18)
| ~ chevy(U_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_101,c_60]) ).
tff(c_134,plain,
! [V_17,U_18] :
( ~ hollywood(skc11)
| ~ city(skc11)
| ~ down(skc10,V_17)
| ~ barrel(skc10,U_18)
| ~ event(skc10)
| ~ street(V_17)
| ~ way(V_17)
| ~ lonely(V_17)
| ~ old(U_18)
| ~ dirty(U_18)
| ~ white(U_18)
| ~ car(U_18)
| ~ chevy(U_18) ),
inference(resolution,[status(thm)],[c_123,c_132]) ).
tff(c_137,plain,
! [V_17,U_18] :
( ~ down(skc10,V_17)
| ~ barrel(skc10,U_18)
| ~ street(V_17)
| ~ way(V_17)
| ~ lonely(V_17)
| ~ old(U_18)
| ~ dirty(U_18)
| ~ white(U_18)
| ~ car(U_18)
| ~ chevy(U_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_113,c_10,c_134]) ).
tff(c_139,plain,
! [U_19] :
( ~ barrel(skc10,U_19)
| ~ old(U_19)
| ~ dirty(U_19)
| ~ white(U_19)
| ~ car(U_19)
| ~ chevy(U_19) ),
inference(splitLeft,[status(thm)],[c_137]) ).
tff(c_142,plain,
( ~ old(skc9)
| ~ dirty(skc9)
| ~ white(skc9)
| ~ car(skc9)
| ~ chevy(skc9) ),
inference(resolution,[status(thm)],[c_128,c_139]) ).
tff(c_146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_111,c_118,c_100,c_109,c_142]) ).
tff(c_148,plain,
! [V_20] :
( ~ down(skc10,V_20)
| ~ street(V_20)
| ~ way(V_20)
| ~ lonely(V_20) ),
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_151,plain,
( ~ street(skc8)
| ~ way(skc8)
| ~ lonely(skc8) ),
inference(resolution,[status(thm)],[c_126,c_148]) ).
tff(c_155,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_120,c_107,c_151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NLP001-1 : TPTP v9.0.0. Released v2.4.0.
% 0.08/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 08:03:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.34/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/1.91
% 3.34/1.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------