TSTP Solution File: PUZ056-2.005 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 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 : n014.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 10:54:08 EDT 2023
% Result : Unsatisfiable 9.53s 3.38s
% Output : CNFRefutation 9.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 18
% Syntax : Number of formulae : 102 ( 33 unt; 5 typ; 0 def)
% Number of atoms : 275 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 358 ( 180 ~; 178 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 2 >; 5 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 192 (; 192 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > neq > #nlpp > s2 > s1 > s0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(s0,type,
s0: $i ).
tff(s1,type,
s1: $i ).
tff(s2,type,
s2: $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff(p,type,
p: ( $i * $i * $i * $i * $i ) > $o ).
tff(f_110,axiom,
neq(s0,s1),
file(unknown,unknown) ).
tff(f_111,axiom,
neq(s0,s2),
file(unknown,unknown) ).
tff(f_112,axiom,
neq(s1,s0),
file(unknown,unknown) ).
tff(f_115,axiom,
neq(s1,s2),
file(unknown,unknown) ).
tff(f_116,axiom,
neq(s2,s0),
file(unknown,unknown) ).
tff(f_117,axiom,
neq(s2,s1),
file(unknown,unknown) ).
tff(f_120,axiom,
p(s0,s0,s0,s0,s0),
file(unknown,unknown) ).
tff(f_27,axiom,
! [T1,T4,T3,J,I,T2] :
( ~ p(I,T1,T2,T3,T4)
| p(J,T1,T2,T3,T4) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [T4,T3,J,I,T2,T0] :
( ~ p(T0,I,T2,T3,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| p(T0,J,T2,T3,T4) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [T1,T4,T3,J,I,T0] :
( ~ p(T0,T1,I,T3,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| p(T0,T1,J,T3,T4) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [T1,T4,J,I,T2,T0] :
( ~ p(T0,T1,T2,I,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| ~ neq(T2,I)
| ~ neq(T2,J)
| p(T0,T1,T2,J,T4) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [T1,T3,J,I,T2,T0] :
( ~ p(T0,T1,T2,T3,I)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| ~ neq(T2,I)
| ~ neq(T2,J)
| ~ neq(T3,I)
| ~ neq(T3,J)
| p(T0,T1,T2,T3,J) ),
file(unknown,unknown) ).
tff(f_122,axiom,
~ p(s2,s2,s2,s2,s2),
file(unknown,unknown) ).
tff(c_14,plain,
neq(s0,s1),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_16,plain,
neq(s0,s2),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_18,plain,
neq(s1,s0),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_22,plain,
neq(s1,s2),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_24,plain,
neq(s2,s0),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_26,plain,
neq(s2,s1),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_30,plain,
p(s0,s0,s0,s0,s0),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_33,plain,
! [T2_31,J_33,I_35,T3_34,T4_32,T1_36] :
( p(J_33,T1_36,T2_31,T3_34,T4_32)
| ~ p(I_35,T1_36,T2_31,T3_34,T4_32) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_36,plain,
! [J_33] : p(J_33,s0,s0,s0,s0),
inference(resolution,[status(thm)],[c_30,c_33]) ).
tff(c_43,plain,
! [T0_39,T2_40,T3_42,T4_38,J_43,I_41] :
( p(T0_39,J_43,T2_40,T3_42,T4_38)
| ~ neq(T0_39,J_43)
| ~ neq(T0_39,I_41)
| ~ p(T0_39,I_41,T2_40,T3_42,T4_38) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_47,plain,
! [J_44,J_45] :
( p(J_44,J_45,s0,s0,s0)
| ~ neq(J_44,J_45)
| ~ neq(J_44,s0) ),
inference(resolution,[status(thm)],[c_36,c_43]) ).
tff(c_2,plain,
! [T1_1,J_4,T4_2,T2_6,T3_3,I_5] :
( p(J_4,T1_1,T2_6,T3_3,T4_2)
| ~ p(I_5,T1_1,T2_6,T3_3,T4_2) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_61,plain,
! [J_52,J_53,J_54] :
( p(J_52,J_53,s0,s0,s0)
| ~ neq(J_54,J_53)
| ~ neq(J_54,s0) ),
inference(resolution,[status(thm)],[c_47,c_2]) ).
tff(c_73,plain,
! [J_52] :
( p(J_52,s1,s0,s0,s0)
| ~ neq(s2,s0) ),
inference(resolution,[status(thm)],[c_26,c_61]) ).
tff(c_101,plain,
! [J_56] : p(J_56,s1,s0,s0,s0),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_73]) ).
tff(c_6,plain,
! [T3_15,T1_13,I_17,T4_14,T0_18,J_16] :
( p(T0_18,T1_13,J_16,T3_15,T4_14)
| ~ neq(T1_13,J_16)
| ~ neq(T1_13,I_17)
| ~ neq(T0_18,J_16)
| ~ neq(T0_18,I_17)
| ~ p(T0_18,T1_13,I_17,T3_15,T4_14) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_103,plain,
! [J_56,J_16] :
( p(J_56,s1,J_16,s0,s0)
| ~ neq(s1,J_16)
| ~ neq(s1,s0)
| ~ neq(J_56,J_16)
| ~ neq(J_56,s0) ),
inference(resolution,[status(thm)],[c_101,c_6]) ).
tff(c_212,plain,
! [J_73,J_74] :
( p(J_73,s1,J_74,s0,s0)
| ~ neq(s1,J_74)
| ~ neq(J_73,J_74)
| ~ neq(J_73,s0) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_103]) ).
tff(c_266,plain,
! [J_83,J_84,J_85] :
( p(J_83,s1,J_84,s0,s0)
| ~ neq(s1,J_84)
| ~ neq(J_85,J_84)
| ~ neq(J_85,s0) ),
inference(resolution,[status(thm)],[c_212,c_2]) ).
tff(c_268,plain,
! [J_83] :
( p(J_83,s1,s2,s0,s0)
| ~ neq(s1,s2)
| ~ neq(s1,s0) ),
inference(resolution,[status(thm)],[c_22,c_266]) ).
tff(c_295,plain,
! [J_86] : p(J_86,s1,s2,s0,s0),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_22,c_268]) ).
tff(c_4,plain,
! [T4_7,T2_11,I_10,J_9,T0_12,T3_8] :
( p(T0_12,J_9,T2_11,T3_8,T4_7)
| ~ neq(T0_12,J_9)
| ~ neq(T0_12,I_10)
| ~ p(T0_12,I_10,T2_11,T3_8,T4_7) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_318,plain,
! [J_87,J_88] :
( p(J_87,J_88,s2,s0,s0)
| ~ neq(J_87,J_88)
| ~ neq(J_87,s1) ),
inference(resolution,[status(thm)],[c_295,c_4]) ).
tff(c_338,plain,
! [J_89,J_90,J_91] :
( p(J_89,J_90,s2,s0,s0)
| ~ neq(J_91,J_90)
| ~ neq(J_91,s1) ),
inference(resolution,[status(thm)],[c_318,c_2]) ).
tff(c_346,plain,
! [J_89] :
( p(J_89,s2,s2,s0,s0)
| ~ neq(s0,s1) ),
inference(resolution,[status(thm)],[c_16,c_338]) ).
tff(c_388,plain,
! [J_93] : p(J_93,s2,s2,s0,s0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_346]) ).
tff(c_8,plain,
! [T0_24,T2_23,T4_20,I_22,J_21,T1_19] :
( p(T0_24,T1_19,T2_23,J_21,T4_20)
| ~ neq(T2_23,J_21)
| ~ neq(T2_23,I_22)
| ~ neq(T1_19,J_21)
| ~ neq(T1_19,I_22)
| ~ neq(T0_24,J_21)
| ~ neq(T0_24,I_22)
| ~ p(T0_24,T1_19,T2_23,I_22,T4_20) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_392,plain,
! [J_93,J_21] :
( p(J_93,s2,s2,J_21,s0)
| ~ neq(s2,J_21)
| ~ neq(s2,s0)
| ~ neq(J_93,J_21)
| ~ neq(J_93,s0) ),
inference(resolution,[status(thm)],[c_388,c_8]) ).
tff(c_1286,plain,
! [J_188,J_189] :
( p(J_188,s2,s2,J_189,s0)
| ~ neq(s2,J_189)
| ~ neq(J_188,J_189)
| ~ neq(J_188,s0) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_392]) ).
tff(c_1677,plain,
! [J_229,J_230,J_231] :
( p(J_229,s2,s2,J_230,s0)
| ~ neq(s2,J_230)
| ~ neq(J_231,J_230)
| ~ neq(J_231,s0) ),
inference(resolution,[status(thm)],[c_1286,c_2]) ).
tff(c_1689,plain,
! [J_229] :
( p(J_229,s2,s2,s1,s0)
| ~ neq(s2,s1)
| ~ neq(s2,s0) ),
inference(resolution,[status(thm)],[c_26,c_1677]) ).
tff(c_1706,plain,
! [J_232] : p(J_232,s2,s2,s1,s0),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1689]) ).
tff(c_1727,plain,
! [J_233,J_234] :
( p(J_233,J_234,s2,s1,s0)
| ~ neq(J_233,J_234)
| ~ neq(J_233,s2) ),
inference(resolution,[status(thm)],[c_1706,c_4]) ).
tff(c_1747,plain,
! [J_235,J_236,J_237] :
( p(J_235,J_236,s2,s1,s0)
| ~ neq(J_237,J_236)
| ~ neq(J_237,s2) ),
inference(resolution,[status(thm)],[c_1727,c_2]) ).
tff(c_1757,plain,
! [J_235] :
( p(J_235,s0,s2,s1,s0)
| ~ neq(s1,s2) ),
inference(resolution,[status(thm)],[c_18,c_1747]) ).
tff(c_1797,plain,
! [J_239] : p(J_239,s0,s2,s1,s0),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1757]) ).
tff(c_1803,plain,
! [J_239,J_16] :
( p(J_239,s0,J_16,s1,s0)
| ~ neq(s0,J_16)
| ~ neq(s0,s2)
| ~ neq(J_239,J_16)
| ~ neq(J_239,s2) ),
inference(resolution,[status(thm)],[c_1797,c_6]) ).
tff(c_2083,plain,
! [J_270,J_271] :
( p(J_270,s0,J_271,s1,s0)
| ~ neq(s0,J_271)
| ~ neq(J_270,J_271)
| ~ neq(J_270,s2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1803]) ).
tff(c_2655,plain,
! [J_324,J_325,J_326] :
( p(J_324,s0,J_325,s1,s0)
| ~ neq(s0,J_325)
| ~ neq(J_326,J_325)
| ~ neq(J_326,s2) ),
inference(resolution,[status(thm)],[c_2083,c_2]) ).
tff(c_2659,plain,
! [J_324] :
( p(J_324,s0,s1,s1,s0)
| ~ neq(s0,s1)
| ~ neq(s0,s2) ),
inference(resolution,[status(thm)],[c_14,c_2655]) ).
tff(c_2685,plain,
! [J_327] : p(J_327,s0,s1,s1,s0),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_2659]) ).
tff(c_2708,plain,
! [J_328,J_329] :
( p(J_328,J_329,s1,s1,s0)
| ~ neq(J_328,J_329)
| ~ neq(J_328,s0) ),
inference(resolution,[status(thm)],[c_2685,c_4]) ).
tff(c_2726,plain,
! [J_330,J_331,J_332] :
( p(J_330,J_331,s1,s1,s0)
| ~ neq(J_332,J_331)
| ~ neq(J_332,s0) ),
inference(resolution,[status(thm)],[c_2708,c_2]) ).
tff(c_2738,plain,
! [J_330] :
( p(J_330,s1,s1,s1,s0)
| ~ neq(s2,s0) ),
inference(resolution,[status(thm)],[c_26,c_2726]) ).
tff(c_2807,plain,
! [J_337] : p(J_337,s1,s1,s1,s0),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_2738]) ).
tff(c_10,plain,
! [T2_29,T3_26,I_28,J_27,T0_30,T1_25] :
( p(T0_30,T1_25,T2_29,T3_26,J_27)
| ~ neq(T3_26,J_27)
| ~ neq(T3_26,I_28)
| ~ neq(T2_29,J_27)
| ~ neq(T2_29,I_28)
| ~ neq(T1_25,J_27)
| ~ neq(T1_25,I_28)
| ~ neq(T0_30,J_27)
| ~ neq(T0_30,I_28)
| ~ p(T0_30,T1_25,T2_29,T3_26,I_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_2809,plain,
! [J_337,J_27] :
( p(J_337,s1,s1,s1,J_27)
| ~ neq(s1,J_27)
| ~ neq(s1,s0)
| ~ neq(J_337,J_27)
| ~ neq(J_337,s0) ),
inference(resolution,[status(thm)],[c_2807,c_10]) ).
tff(c_3404,plain,
! [J_397,J_398] :
( p(J_397,s1,s1,s1,J_398)
| ~ neq(s1,J_398)
| ~ neq(J_397,J_398)
| ~ neq(J_397,s0) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_2809]) ).
tff(c_3963,plain,
! [J_456,J_457,J_458] :
( p(J_456,s1,s1,s1,J_457)
| ~ neq(s1,J_457)
| ~ neq(J_458,J_457)
| ~ neq(J_458,s0) ),
inference(resolution,[status(thm)],[c_3404,c_2]) ).
tff(c_3965,plain,
! [J_456] :
( p(J_456,s1,s1,s1,s2)
| ~ neq(s1,s2)
| ~ neq(s1,s0) ),
inference(resolution,[status(thm)],[c_22,c_3963]) ).
tff(c_4022,plain,
! [J_462] : p(J_462,s1,s1,s1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_22,c_3965]) ).
tff(c_4041,plain,
! [J_463,J_464] :
( p(J_463,J_464,s1,s1,s2)
| ~ neq(J_463,J_464)
| ~ neq(J_463,s1) ),
inference(resolution,[status(thm)],[c_4022,c_4]) ).
tff(c_4059,plain,
! [J_465,J_466,J_467] :
( p(J_465,J_466,s1,s1,s2)
| ~ neq(J_467,J_466)
| ~ neq(J_467,s1) ),
inference(resolution,[status(thm)],[c_4041,c_2]) ).
tff(c_4067,plain,
! [J_465] :
( p(J_465,s2,s1,s1,s2)
| ~ neq(s0,s1) ),
inference(resolution,[status(thm)],[c_16,c_4059]) ).
tff(c_4109,plain,
! [J_469] : p(J_469,s2,s1,s1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4067]) ).
tff(c_4115,plain,
! [J_469,J_16] :
( p(J_469,s2,J_16,s1,s2)
| ~ neq(s2,J_16)
| ~ neq(s2,s1)
| ~ neq(J_469,J_16)
| ~ neq(J_469,s1) ),
inference(resolution,[status(thm)],[c_4109,c_6]) ).
tff(c_4338,plain,
! [J_493,J_494] :
( p(J_493,s2,J_494,s1,s2)
| ~ neq(s2,J_494)
| ~ neq(J_493,J_494)
| ~ neq(J_493,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_4115]) ).
tff(c_4418,plain,
! [J_501,J_502,J_503] :
( p(J_501,s2,J_502,s1,s2)
| ~ neq(s2,J_502)
| ~ neq(J_503,J_502)
| ~ neq(J_503,s1) ),
inference(resolution,[status(thm)],[c_4338,c_2]) ).
tff(c_4424,plain,
! [J_501] :
( p(J_501,s2,s0,s1,s2)
| ~ neq(s2,s0)
| ~ neq(s2,s1) ),
inference(resolution,[status(thm)],[c_24,c_4418]) ).
tff(c_4447,plain,
! [J_504] : p(J_504,s2,s0,s1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_4424]) ).
tff(c_4470,plain,
! [J_505,J_506] :
( p(J_505,J_506,s0,s1,s2)
| ~ neq(J_505,J_506)
| ~ neq(J_505,s2) ),
inference(resolution,[status(thm)],[c_4447,c_4]) ).
tff(c_4490,plain,
! [J_507,J_508,J_509] :
( p(J_507,J_508,s0,s1,s2)
| ~ neq(J_509,J_508)
| ~ neq(J_509,s2) ),
inference(resolution,[status(thm)],[c_4470,c_2]) ).
tff(c_4500,plain,
! [J_507] :
( p(J_507,s0,s0,s1,s2)
| ~ neq(s1,s2) ),
inference(resolution,[status(thm)],[c_18,c_4490]) ).
tff(c_4540,plain,
! [J_511] : p(J_511,s0,s0,s1,s2),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_4500]) ).
tff(c_4544,plain,
! [J_511,J_21] :
( p(J_511,s0,s0,J_21,s2)
| ~ neq(s0,J_21)
| ~ neq(s0,s1)
| ~ neq(J_511,J_21)
| ~ neq(J_511,s1) ),
inference(resolution,[status(thm)],[c_4540,c_8]) ).
tff(c_5732,plain,
! [J_624,J_625] :
( p(J_624,s0,s0,J_625,s2)
| ~ neq(s0,J_625)
| ~ neq(J_624,J_625)
| ~ neq(J_624,s1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4544]) ).
tff(c_6669,plain,
! [J_714,J_715,J_716] :
( p(J_714,s0,s0,J_715,s2)
| ~ neq(s0,J_715)
| ~ neq(J_716,J_715)
| ~ neq(J_716,s1) ),
inference(resolution,[status(thm)],[c_5732,c_2]) ).
tff(c_6677,plain,
! [J_714] :
( p(J_714,s0,s0,s2,s2)
| ~ neq(s0,s2)
| ~ neq(s0,s1) ),
inference(resolution,[status(thm)],[c_16,c_6669]) ).
tff(c_6728,plain,
! [J_720] : p(J_720,s0,s0,s2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_6677]) ).
tff(c_6749,plain,
! [J_721,J_722] :
( p(J_721,J_722,s0,s2,s2)
| ~ neq(J_721,J_722)
| ~ neq(J_721,s0) ),
inference(resolution,[status(thm)],[c_6728,c_4]) ).
tff(c_6769,plain,
! [J_723,J_724,J_725] :
( p(J_723,J_724,s0,s2,s2)
| ~ neq(J_725,J_724)
| ~ neq(J_725,s0) ),
inference(resolution,[status(thm)],[c_6749,c_2]) ).
tff(c_6781,plain,
! [J_723] :
( p(J_723,s1,s0,s2,s2)
| ~ neq(s2,s0) ),
inference(resolution,[status(thm)],[c_26,c_6769]) ).
tff(c_6819,plain,
! [J_727] : p(J_727,s1,s0,s2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_6781]) ).
tff(c_6825,plain,
! [J_727,J_16] :
( p(J_727,s1,J_16,s2,s2)
| ~ neq(s1,J_16)
| ~ neq(s1,s0)
| ~ neq(J_727,J_16)
| ~ neq(J_727,s0) ),
inference(resolution,[status(thm)],[c_6819,c_6]) ).
tff(c_7275,plain,
! [J_776,J_777] :
( p(J_776,s1,J_777,s2,s2)
| ~ neq(s1,J_777)
| ~ neq(J_776,J_777)
| ~ neq(J_776,s0) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6825]) ).
tff(c_7367,plain,
! [J_787,J_788,J_789] :
( p(J_787,s1,J_788,s2,s2)
| ~ neq(s1,J_788)
| ~ neq(J_789,J_788)
| ~ neq(J_789,s0) ),
inference(resolution,[status(thm)],[c_7275,c_2]) ).
tff(c_7369,plain,
! [J_787] :
( p(J_787,s1,s2,s2,s2)
| ~ neq(s1,s2)
| ~ neq(s1,s0) ),
inference(resolution,[status(thm)],[c_22,c_7367]) ).
tff(c_7396,plain,
! [J_790] : p(J_790,s1,s2,s2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_22,c_7369]) ).
tff(c_7419,plain,
! [J_791,J_792] :
( p(J_791,J_792,s2,s2,s2)
| ~ neq(J_791,J_792)
| ~ neq(J_791,s1) ),
inference(resolution,[status(thm)],[c_7396,c_4]) ).
tff(c_7441,plain,
! [J_793,J_794,J_795] :
( p(J_793,J_794,s2,s2,s2)
| ~ neq(J_795,J_794)
| ~ neq(J_795,s1) ),
inference(resolution,[status(thm)],[c_7419,c_2]) ).
tff(c_7449,plain,
! [J_793] :
( p(J_793,s2,s2,s2,s2)
| ~ neq(s0,s1) ),
inference(resolution,[status(thm)],[c_16,c_7441]) ).
tff(c_7463,plain,
! [J_793] : p(J_793,s2,s2,s2,s2),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_7449]) ).
tff(c_32,plain,
~ p(s2,s2,s2,s2,s2),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_7493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7463,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.12 % 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
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 17:32:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 9.53/3.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.53/3.39
% 9.53/3.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.77/3.43
% 9.77/3.43 Inference rules
% 9.77/3.43 ----------------------
% 9.77/3.43 #Ref : 0
% 9.77/3.43 #Sup : 1738
% 9.77/3.43 #Fact : 0
% 9.77/3.43 #Define : 0
% 9.77/3.43 #Split : 0
% 9.77/3.43 #Chain : 0
% 9.77/3.43 #Close : 0
% 9.77/3.43
% 9.77/3.43 Ordering : KBO
% 9.77/3.43
% 9.77/3.43 Simplification rules
% 9.77/3.43 ----------------------
% 9.77/3.43 #Subsume : 819
% 9.77/3.43 #Demod : 1588
% 9.77/3.43 #Tautology : 380
% 9.77/3.43 #SimpNegUnit : 0
% 9.77/3.43 #BackRed : 1
% 9.77/3.43
% 9.77/3.43 #Partial instantiations: 0
% 9.77/3.43 #Strategies tried : 1
% 9.77/3.43
% 9.77/3.43 Timing (in seconds)
% 9.77/3.43 ----------------------
% 9.77/3.43 Preprocessing : 0.46
% 9.77/3.43 Parsing : 0.25
% 9.77/3.44 CNF conversion : 0.02
% 9.77/3.44 Main loop : 1.88
% 9.77/3.44 Inferencing : 0.56
% 9.77/3.44 Reduction : 0.54
% 9.77/3.44 Demodulation : 0.40
% 9.77/3.44 BG Simplification : 0.04
% 9.77/3.44 Subsumption : 0.66
% 9.77/3.44 Abstraction : 0.05
% 9.77/3.44 MUC search : 0.00
% 9.77/3.44 Cooper : 0.00
% 9.77/3.44 Total : 2.42
% 9.77/3.44 Index Insertion : 0.00
% 9.77/3.44 Index Deletion : 0.00
% 9.77/3.44 Index Matching : 0.00
% 9.77/3.44 BG Taut test : 0.00
%------------------------------------------------------------------------------