TSTP Solution File: SWV558-1.007 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 : Thu Aug 31 21:46:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 71
% Syntax : Number of formulae : 168 ( 129 unt; 39 typ; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 37 con; 0-3 aty)
% Number of variables : 10 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
store: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
select: ( $i * $i ) > $i ).
tff(decl_24,type,
a_29: $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
i1: $i ).
tff(decl_27,type,
e_28: $i ).
tff(decl_28,type,
a_31: $i ).
tff(decl_29,type,
a2: $i ).
tff(decl_30,type,
e_30: $i ).
tff(decl_31,type,
a_33: $i ).
tff(decl_32,type,
i2: $i ).
tff(decl_33,type,
e_32: $i ).
tff(decl_34,type,
a_35: $i ).
tff(decl_35,type,
e_34: $i ).
tff(decl_36,type,
a_37: $i ).
tff(decl_37,type,
i3: $i ).
tff(decl_38,type,
e_36: $i ).
tff(decl_39,type,
a_39: $i ).
tff(decl_40,type,
e_38: $i ).
tff(decl_41,type,
a_41: $i ).
tff(decl_42,type,
i4: $i ).
tff(decl_43,type,
e_40: $i ).
tff(decl_44,type,
a_43: $i ).
tff(decl_45,type,
e_42: $i ).
tff(decl_46,type,
a_45: $i ).
tff(decl_47,type,
i5: $i ).
tff(decl_48,type,
e_44: $i ).
tff(decl_49,type,
a_47: $i ).
tff(decl_50,type,
e_46: $i ).
tff(decl_51,type,
a_49: $i ).
tff(decl_52,type,
i6: $i ).
tff(decl_53,type,
e_48: $i ).
tff(decl_54,type,
a_51: $i ).
tff(decl_55,type,
e_50: $i ).
tff(decl_56,type,
a_53: $i ).
tff(decl_57,type,
i7: $i ).
tff(decl_58,type,
e_52: $i ).
tff(decl_59,type,
a_55: $i ).
tff(decl_60,type,
e_54: $i ).
cnf(hyp13,hypothesis,
a_55 = store(a_51,i7,e_54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp28,hypothesis,
a_53 = a_55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(hyp12,hypothesis,
a_53 = store(a_49,i7,e_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
cnf(a3,axiom,
store(X1,X2,select(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
cnf(hyp27,hypothesis,
e_54 = select(a_49,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
cnf(hyp26,hypothesis,
e_52 = select(a_51,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
cnf(hyp10,hypothesis,
a_49 = store(a_45,i6,e_48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp11,hypothesis,
a_51 = store(a_47,i6,e_50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp24,hypothesis,
e_48 = select(a_47,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp25,hypothesis,
e_50 = select(a_45,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
cnf(hyp9,hypothesis,
a_47 = store(a_43,i5,e_46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp8,hypothesis,
a_45 = store(a_41,i5,e_44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp22,hypothesis,
e_44 = select(a_43,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp23,hypothesis,
e_46 = select(a_41,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp7,hypothesis,
a_43 = store(a_39,i4,e_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp6,hypothesis,
a_41 = store(a_37,i4,e_40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp20,hypothesis,
e_40 = select(a_39,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp21,hypothesis,
e_42 = select(a_37,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp5,hypothesis,
a_39 = store(a_35,i3,e_38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp4,hypothesis,
a_37 = store(a_33,i3,e_36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp18,hypothesis,
e_36 = select(a_35,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp19,hypothesis,
e_38 = select(a_33,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp3,hypothesis,
a_35 = store(a_31,i2,e_34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp2,hypothesis,
a_33 = store(a_29,i2,e_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp16,hypothesis,
e_32 = select(a_31,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp17,hypothesis,
e_34 = select(a_29,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp1,hypothesis,
a_31 = store(a2,i1,e_30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
cnf(hyp0,hypothesis,
a_29 = store(a1,i1,e_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
cnf(hyp14,hypothesis,
e_28 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
cnf(hyp15,hypothesis,
e_30 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
cnf(goal,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_0_32,hypothesis,
a_55 = store(a_51,i7,e_54),
hyp13 ).
cnf(c_0_33,hypothesis,
a_53 = a_55,
hyp28 ).
cnf(c_0_34,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_35,hypothesis,
a_53 = store(a_49,i7,e_52),
hyp12 ).
cnf(c_0_36,axiom,
store(X1,X2,select(X1,X2)) = X1,
a3 ).
cnf(c_0_37,hypothesis,
e_54 = select(a_49,i7),
hyp27 ).
cnf(c_0_38,hypothesis,
store(a_51,i7,e_54) = a_53,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,hypothesis,
select(a_53,i7) = e_52,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,hypothesis,
e_52 = select(a_51,i7),
hyp26 ).
cnf(c_0_41,hypothesis,
a_49 = store(a_45,i6,e_48),
hyp10 ).
cnf(c_0_42,hypothesis,
store(a_49,i7,e_54) = a_49,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,hypothesis,
e_54 = e_52,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_39]) ).
cnf(c_0_44,hypothesis,
a_51 = store(a_47,i6,e_50),
hyp11 ).
cnf(c_0_45,hypothesis,
store(a_51,i7,e_52) = a_51,
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_46,hypothesis,
select(a_49,i6) = e_48,
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_47,hypothesis,
a_49 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_35]) ).
cnf(c_0_48,hypothesis,
select(a_51,i6) = e_50,
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_49,hypothesis,
a_51 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_43]),c_0_45]) ).
cnf(c_0_50,hypothesis,
select(a_53,i6) = e_48,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,hypothesis,
e_48 = select(a_47,i6),
hyp24 ).
cnf(c_0_52,hypothesis,
e_50 = select(a_45,i6),
hyp25 ).
cnf(c_0_53,hypothesis,
e_50 = e_48,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,hypothesis,
a_47 = store(a_43,i5,e_46),
hyp9 ).
cnf(c_0_55,hypothesis,
store(a_47,i6,e_48) = a_47,
inference(spm,[status(thm)],[c_0_36,c_0_51]) ).
cnf(c_0_56,hypothesis,
a_45 = store(a_41,i5,e_44),
hyp8 ).
cnf(c_0_57,hypothesis,
select(a_45,i6) = e_48,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,hypothesis,
store(a_45,i6,e_48) = a_53,
inference(rw,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_59,hypothesis,
select(a_47,i5) = e_46,
inference(spm,[status(thm)],[c_0_34,c_0_54]) ).
cnf(c_0_60,hypothesis,
a_47 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_49]),c_0_53]),c_0_55]) ).
cnf(c_0_61,hypothesis,
select(a_45,i5) = e_44,
inference(spm,[status(thm)],[c_0_34,c_0_56]) ).
cnf(c_0_62,hypothesis,
a_45 = a_53,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_57]),c_0_58]) ).
cnf(c_0_63,hypothesis,
select(a_53,i5) = e_46,
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,hypothesis,
e_44 = select(a_43,i5),
hyp22 ).
cnf(c_0_65,hypothesis,
e_46 = select(a_41,i5),
hyp23 ).
cnf(c_0_66,hypothesis,
a_43 = store(a_39,i4,e_42),
hyp7 ).
cnf(c_0_67,hypothesis,
store(a_43,i5,e_46) = a_53,
inference(rw,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_68,hypothesis,
e_46 = e_44,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_69,hypothesis,
store(a_43,i5,e_44) = a_43,
inference(spm,[status(thm)],[c_0_36,c_0_64]) ).
cnf(c_0_70,hypothesis,
a_41 = store(a_37,i4,e_40),
hyp6 ).
cnf(c_0_71,hypothesis,
store(a_41,i5,e_46) = a_41,
inference(spm,[status(thm)],[c_0_36,c_0_65]) ).
cnf(c_0_72,hypothesis,
store(a_41,i5,e_44) = a_53,
inference(rw,[status(thm)],[c_0_56,c_0_62]) ).
cnf(c_0_73,hypothesis,
select(a_43,i4) = e_42,
inference(spm,[status(thm)],[c_0_34,c_0_66]) ).
cnf(c_0_74,hypothesis,
a_43 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_75,hypothesis,
select(a_41,i4) = e_40,
inference(spm,[status(thm)],[c_0_34,c_0_70]) ).
cnf(c_0_76,hypothesis,
a_41 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_68]),c_0_72]) ).
cnf(c_0_77,hypothesis,
select(a_53,i4) = e_42,
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,hypothesis,
e_40 = select(a_39,i4),
hyp20 ).
cnf(c_0_79,hypothesis,
e_42 = select(a_37,i4),
hyp21 ).
cnf(c_0_80,hypothesis,
a_39 = store(a_35,i3,e_38),
hyp5 ).
cnf(c_0_81,hypothesis,
e_42 = e_40,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_82,hypothesis,
store(a_39,i4,e_40) = a_39,
inference(spm,[status(thm)],[c_0_36,c_0_78]) ).
cnf(c_0_83,hypothesis,
a_37 = store(a_33,i3,e_36),
hyp4 ).
cnf(c_0_84,hypothesis,
store(a_37,i4,e_42) = a_37,
inference(spm,[status(thm)],[c_0_36,c_0_79]) ).
cnf(c_0_85,hypothesis,
store(a_37,i4,e_40) = a_53,
inference(rw,[status(thm)],[c_0_70,c_0_76]) ).
cnf(c_0_86,hypothesis,
select(a_39,i3) = e_38,
inference(spm,[status(thm)],[c_0_34,c_0_80]) ).
cnf(c_0_87,hypothesis,
a_39 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_74]),c_0_81]),c_0_82]) ).
cnf(c_0_88,hypothesis,
select(a_37,i3) = e_36,
inference(spm,[status(thm)],[c_0_34,c_0_83]) ).
cnf(c_0_89,hypothesis,
a_37 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_81]),c_0_85]) ).
cnf(c_0_90,hypothesis,
select(a_53,i3) = e_38,
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,hypothesis,
e_36 = select(a_35,i3),
hyp18 ).
cnf(c_0_92,hypothesis,
e_38 = select(a_33,i3),
hyp19 ).
cnf(c_0_93,hypothesis,
a_35 = store(a_31,i2,e_34),
hyp3 ).
cnf(c_0_94,hypothesis,
e_38 = e_36,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_95,hypothesis,
store(a_35,i3,e_36) = a_35,
inference(spm,[status(thm)],[c_0_36,c_0_91]) ).
cnf(c_0_96,hypothesis,
a_33 = store(a_29,i2,e_32),
hyp2 ).
cnf(c_0_97,hypothesis,
store(a_33,i3,e_38) = a_33,
inference(spm,[status(thm)],[c_0_36,c_0_92]) ).
cnf(c_0_98,hypothesis,
store(a_33,i3,e_36) = a_53,
inference(rw,[status(thm)],[c_0_83,c_0_89]) ).
cnf(c_0_99,hypothesis,
select(a_35,i2) = e_34,
inference(spm,[status(thm)],[c_0_34,c_0_93]) ).
cnf(c_0_100,hypothesis,
a_35 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_87]),c_0_94]),c_0_95]) ).
cnf(c_0_101,hypothesis,
select(a_33,i2) = e_32,
inference(spm,[status(thm)],[c_0_34,c_0_96]) ).
cnf(c_0_102,hypothesis,
a_33 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_94]),c_0_98]) ).
cnf(c_0_103,hypothesis,
select(a_53,i2) = e_34,
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,hypothesis,
e_32 = select(a_31,i2),
hyp16 ).
cnf(c_0_105,hypothesis,
e_34 = select(a_29,i2),
hyp17 ).
cnf(c_0_106,hypothesis,
a_31 = store(a2,i1,e_30),
hyp1 ).
cnf(c_0_107,hypothesis,
e_34 = e_32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_108,hypothesis,
store(a_31,i2,e_32) = a_31,
inference(spm,[status(thm)],[c_0_36,c_0_104]) ).
cnf(c_0_109,hypothesis,
a_29 = store(a1,i1,e_28),
hyp0 ).
cnf(c_0_110,hypothesis,
store(a_29,i2,e_34) = a_29,
inference(spm,[status(thm)],[c_0_36,c_0_105]) ).
cnf(c_0_111,hypothesis,
store(a_29,i2,e_32) = a_53,
inference(rw,[status(thm)],[c_0_96,c_0_102]) ).
cnf(c_0_112,hypothesis,
select(a_31,i1) = e_30,
inference(spm,[status(thm)],[c_0_34,c_0_106]) ).
cnf(c_0_113,hypothesis,
a_31 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_100]),c_0_107]),c_0_108]) ).
cnf(c_0_114,hypothesis,
select(a_29,i1) = e_28,
inference(spm,[status(thm)],[c_0_34,c_0_109]) ).
cnf(c_0_115,hypothesis,
a_29 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_107]),c_0_111]) ).
cnf(c_0_116,hypothesis,
select(a_53,i1) = e_30,
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,hypothesis,
e_28 = select(a2,i1),
hyp14 ).
cnf(c_0_118,hypothesis,
e_30 = select(a1,i1),
hyp15 ).
cnf(c_0_119,hypothesis,
store(a2,i1,e_30) = a_53,
inference(rw,[status(thm)],[c_0_106,c_0_113]) ).
cnf(c_0_120,hypothesis,
e_30 = e_28,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_121,hypothesis,
store(a2,i1,e_28) = a2,
inference(spm,[status(thm)],[c_0_36,c_0_117]) ).
cnf(c_0_122,hypothesis,
store(a1,i1,e_30) = a1,
inference(spm,[status(thm)],[c_0_36,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
a1 != a2,
goal ).
cnf(c_0_124,hypothesis,
a2 = a_53,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_125,hypothesis,
store(a1,i1,e_28) = a1,
inference(rw,[status(thm)],[c_0_122,c_0_120]) ).
cnf(c_0_126,hypothesis,
store(a1,i1,e_28) = a_53,
inference(rw,[status(thm)],[c_0_109,c_0_115]) ).
cnf(c_0_127,negated_conjecture,
a1 != a_53,
inference(rw,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n006.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 Aug 29 04:19:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.009000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.012000 s
%------------------------------------------------------------------------------