%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ036-1.005 : TPTP v9.0.0. Released v2.0.0.
% 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 : n010.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 08:25:08 PM UTC 2025
% Result : Unsatisfiable 13.30s 7.45s
% Output : CNFRefutation 13.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 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 : 2 ( 1 usr; 1 prp; 0-20 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 140 ( 140 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ state > #nlpp > p_9 > p_8 > p_7 > p_6 > p_5 > p_4 > p_3 > p_20 > p_2 > p_19 > p_18 > p_17 > p_16 > p_15 > p_14 > p_13 > p_12 > p_11 > p_10 > p_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_15,type,
p_15: $i ).
tff(p_20,type,
p_20: $i ).
tff(p_1,type,
p_1: $i ).
tff(state,type,
state: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_17,type,
p_17: $i ).
tff(p_10,type,
p_10: $i ).
tff(p_14,type,
p_14: $i ).
tff(p_3,type,
p_3: $i ).
tff(p_5,type,
p_5: $i ).
tff(p_8,type,
p_8: $i ).
tff(p_4,type,
p_4: $i ).
tff(p_19,type,
p_19: $i ).
tff(p_18,type,
p_18: $i ).
tff(p_12,type,
p_12: $i ).
tff(p_6,type,
p_6: $i ).
tff(p_11,type,
p_11: $i ).
tff(p_9,type,
p_9: $i ).
tff(p_13,type,
p_13: $i ).
tff(p_2,type,
p_2: $i ).
tff(p_7,type,
p_7: $i ).
tff(p_16,type,
p_16: $i ).
tff(f_32,axiom,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file(unknown,unknown) ).
tff(f_33,axiom,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X16,X5,X6,X15,X3,X17,X9,X12,X7,X1,X11,X2,X13,X20,X8,X19,X4,X18,X14,X10] :
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20)
| state(X4,X3,X2,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X16,X5,X6,X15,X3,X17,X9,X12,X7,X1,X11,X2,X13,X20,X8,X19,X4,X18,X14,X10] :
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20)
| state(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X1) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X16,X5,X6,X15,X3,X17,X9,X12,X7,X1,X11,X2,X13,X20,X8,X19,X4,X18,X14,X10] :
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20)
| state(X20,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_4,plain,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_54,plain,
! [X4_111,X17_116,X13_104,X6_105,X8_112,X12_117,X19_109,X2_120,X20_115,X3_106,X15_118,X7_114,X11_107,X5_103,X18_101,X14_119,X10_102,X1_108,X9_110,X16_113] :
( state(X4_111,X3_106,X2_120,X1_108,X5_103,X6_105,X7_114,X8_112,X9_110,X10_102,X11_107,X12_117,X13_104,X14_119,X15_118,X16_113,X17_116,X18_101,X19_109,X20_115)
| ~ state(X1_108,X2_120,X3_106,X4_111,X5_103,X6_105,X7_114,X8_112,X9_110,X10_102,X11_107,X12_117,X13_104,X14_119,X15_118,X16_113,X17_116,X18_101,X19_109,X20_115) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_72,plain,
state(p_2,p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[c_4,c_54]) ).
tff(c_6,plain,
! [X9_7,X18_18,X10_20,X19_16,X17_6,X6_3,X2_12,X20_14,X3_5,X14_19,X12_8,X15_4,X4_17,X5_2,X13_13,X8_15,X1_10,X11_11,X7_9,X16_1] :
( state(X2_12,X3_5,X4_17,X5_2,X6_3,X7_9,X8_15,X9_7,X10_20,X11_11,X12_8,X13_13,X14_19,X15_4,X16_1,X17_6,X18_18,X19_16,X20_14,X1_10)
| ~ state(X1_10,X2_12,X3_5,X4_17,X5_2,X6_3,X7_9,X8_15,X9_7,X10_20,X11_11,X12_8,X13_13,X14_19,X15_4,X16_1,X17_6,X18_18,X19_16,X20_14) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_81,plain,
state(p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolution,[status(thm)],[c_72,c_6]) ).
tff(c_10,plain,
! [X6_43,X4_57,X5_42,X8_55,X18_58,X20_54,X1_50,X11_51,X19_56,X12_48,X17_46,X7_49,X13_53,X2_52,X10_60,X14_59,X3_45,X9_47,X16_41,X15_44] :
( state(X4_57,X3_45,X2_52,X1_50,X5_42,X6_43,X7_49,X8_55,X9_47,X10_60,X11_51,X12_48,X13_53,X14_59,X15_44,X16_41,X17_46,X18_58,X19_56,X20_54)
| ~ state(X1_50,X2_52,X3_45,X4_57,X5_42,X6_43,X7_49,X8_55,X9_47,X10_60,X11_51,X12_48,X13_53,X14_59,X15_44,X16_41,X17_46,X18_58,X19_56,X20_54) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_99,plain,
state(p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolution,[status(thm)],[c_81,c_10]) ).
tff(c_8,plain,
! [X13_33,X8_35,X1_30,X5_22,X18_38,X10_40,X14_39,X11_31,X7_29,X9_27,X2_32,X6_23,X16_21,X3_25,X15_24,X4_37,X17_26,X19_36,X20_34,X12_28] :
( state(X20_34,X1_30,X2_32,X3_25,X4_37,X5_22,X6_23,X7_29,X8_35,X9_27,X10_40,X11_31,X12_28,X13_33,X14_39,X15_24,X16_21,X17_26,X18_38,X19_36)
| ~ state(X1_30,X2_32,X3_25,X4_37,X5_22,X6_23,X7_29,X8_35,X9_27,X10_40,X11_31,X12_28,X13_33,X14_39,X15_24,X16_21,X17_26,X18_38,X19_36,X20_34) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_162,plain,
state(p_2,p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[c_99,c_8]) ).
tff(c_369,plain,
state(p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[c_162,c_10]) ).
tff(c_701,plain,
state(p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolution,[status(thm)],[c_369,c_6]) ).
tff(c_1679,plain,
state(p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolution,[status(thm)],[c_701,c_10]) ).
tff(c_3052,plain,
state(p_4,p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[c_1679,c_8]) ).
tff(c_6774,plain,
state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[c_3052,c_10]) ).
tff(c_6782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PUZ036-1.005 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.14 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 8 17:13:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 13.30/7.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.30/7.46
% 13.30/7.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------