TSTP Solution File: SWV537-1.004 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV537-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %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 : Thu Aug 31 21:44:34 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 63
% Syntax : Number of formulae : 211 ( 80 unt; 36 typ; 0 def)
% Number of atoms : 316 ( 315 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 175 ( 34 ~; 141 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 33 con; 0-3 aty)
% Number of variables : 32 ( 4 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_466: $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
i1: $i ).
tff(decl_27,type,
e_465: $i ).
tff(decl_28,type,
a_467: $i ).
tff(decl_29,type,
a_469: $i ).
tff(decl_30,type,
i0: $i ).
tff(decl_31,type,
e_468: $i ).
tff(decl_32,type,
a_471: $i ).
tff(decl_33,type,
i3: $i ).
tff(decl_34,type,
e_470: $i ).
tff(decl_35,type,
a_473: $i ).
tff(decl_36,type,
e_472: $i ).
tff(decl_37,type,
a_475: $i ).
tff(decl_38,type,
i2: $i ).
tff(decl_39,type,
e_474: $i ).
tff(decl_40,type,
a_477: $i ).
tff(decl_41,type,
e_476: $i ).
tff(decl_42,type,
a_479: $i ).
tff(decl_43,type,
e_478: $i ).
tff(decl_44,type,
a_480: $i ).
tff(decl_45,type,
a_481: $i ).
tff(decl_46,type,
a_483: $i ).
tff(decl_47,type,
e_482: $i ).
tff(decl_48,type,
a_485: $i ).
tff(decl_49,type,
e_484: $i ).
tff(decl_50,type,
a_487: $i ).
tff(decl_51,type,
e_486: $i ).
tff(decl_52,type,
a_489: $i ).
tff(decl_53,type,
e_488: $i ).
tff(decl_54,type,
e_491: $i ).
tff(decl_55,type,
i_490: $i ).
tff(decl_56,type,
e_492: $i ).
tff(decl_57,type,
sk: ( $i * $i ) > $i ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(hyp11,hypothesis,
a_485 = store(a_483,i2,e_484),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp23,hypothesis,
e_486 = select(a_485,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp5,hypothesis,
a_475 = store(a_473,i2,e_474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp20,hypothesis,
e_478 = select(a_475,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp3,hypothesis,
a_471 = store(a_469,i3,e_470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp18,hypothesis,
e_474 = select(a_471,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp12,hypothesis,
a_487 = store(a_485,i0,e_486),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp7,hypothesis,
a_479 = store(a_477,i0,e_478),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
cnf(hyp13,hypothesis,
a_489 = store(a_487,i2,e_488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp6,hypothesis,
a_477 = store(a_475,i2,e_476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp10,hypothesis,
a_483 = store(a_481,i3,e_482),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp4,hypothesis,
a_473 = store(a_471,i3,e_472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp9,hypothesis,
a_481 = store(a_480,i0,e_468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp8,hypothesis,
a_480 = store(a_467,i3,e_470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp26,hypothesis,
e_492 = select(a_489,i_490),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
cnf(hyp2,hypothesis,
a_469 = store(a_467,i0,e_468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp25,hypothesis,
e_491 = select(a_479,i_490),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
cnf(goal,negated_conjecture,
e_491 != e_492,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(hyp22,hypothesis,
e_484 = select(a_481,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp21,hypothesis,
e_482 = select(a_481,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp17,hypothesis,
e_472 = select(a_471,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp19,hypothesis,
e_476 = select(a_475,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp24,hypothesis,
e_488 = select(a_485,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp16,hypothesis,
e_470 = select(a_467,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp15,hypothesis,
e_468 = select(a_467,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
cnf(c_0_27,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_28,hypothesis,
a_485 = store(a_483,i2,e_484),
hyp11 ).
cnf(c_0_29,hypothesis,
e_486 = select(a_485,i2),
hyp23 ).
cnf(c_0_30,hypothesis,
a_475 = store(a_473,i2,e_474),
hyp5 ).
cnf(c_0_31,hypothesis,
e_478 = select(a_475,i2),
hyp20 ).
cnf(c_0_32,hypothesis,
a_471 = store(a_469,i3,e_470),
hyp3 ).
cnf(c_0_33,hypothesis,
e_474 = select(a_471,i3),
hyp18 ).
cnf(c_0_34,hypothesis,
a_487 = store(a_485,i0,e_486),
hyp12 ).
cnf(c_0_35,hypothesis,
e_486 = e_484,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_36,hypothesis,
a_479 = store(a_477,i0,e_478),
hyp7 ).
cnf(c_0_37,hypothesis,
e_478 = e_474,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_31]) ).
cnf(c_0_38,hypothesis,
e_474 = e_470,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_33]) ).
cnf(c_0_39,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
a2 ).
cnf(c_0_40,hypothesis,
a_489 = store(a_487,i2,e_488),
hyp13 ).
cnf(c_0_41,hypothesis,
store(a_485,i0,e_484) = a_487,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,hypothesis,
a_477 = store(a_475,i2,e_476),
hyp6 ).
cnf(c_0_43,hypothesis,
store(a_477,i0,e_470) = a_479,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_44,hypothesis,
a_483 = store(a_481,i3,e_482),
hyp10 ).
cnf(c_0_45,hypothesis,
( select(a_487,X1) = select(a_489,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,hypothesis,
( select(a_487,X1) = select(a_485,X1)
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_47,hypothesis,
a_473 = store(a_471,i3,e_472),
hyp4 ).
cnf(c_0_48,hypothesis,
store(a_473,i2,e_470) = a_475,
inference(rw,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_49,hypothesis,
( select(a_477,X1) = select(a_475,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_42]) ).
cnf(c_0_50,hypothesis,
( select(a_477,X1) = select(a_479,X1)
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_51,hypothesis,
a_481 = store(a_480,i0,e_468),
hyp9 ).
cnf(c_0_52,hypothesis,
a_480 = store(a_467,i3,e_470),
hyp8 ).
cnf(c_0_53,hypothesis,
( select(a_483,X1) = select(a_485,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
cnf(c_0_54,hypothesis,
( select(a_483,X1) = select(a_481,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_55,hypothesis,
e_492 = select(a_489,i_490),
hyp26 ).
cnf(c_0_56,hypothesis,
( select(a_489,X1) = select(a_485,X1)
| i0 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,hypothesis,
a_469 = store(a_467,i0,e_468),
hyp2 ).
cnf(c_0_58,hypothesis,
( select(a_473,X1) = select(a_471,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
cnf(c_0_59,hypothesis,
( select(a_473,X1) = select(a_475,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_60,hypothesis,
e_491 = select(a_479,i_490),
hyp25 ).
cnf(c_0_61,hypothesis,
( select(a_479,X1) = select(a_475,X1)
| i0 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_62,hypothesis,
( select(a_480,X1) = select(a_481,X1)
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_63,hypothesis,
( select(a_480,X1) = select(a_467,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_52]) ).
cnf(c_0_64,hypothesis,
( select(a_485,X1) = select(a_481,X1)
| i3 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,hypothesis,
( select(a_485,i_490) = e_492
| i_490 = i2
| i_490 = i0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,hypothesis,
( select(a_469,X1) = select(a_471,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
cnf(c_0_67,hypothesis,
( select(a_469,X1) = select(a_467,X1)
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_57]) ).
cnf(c_0_68,hypothesis,
( select(a_475,X1) = select(a_471,X1)
| i2 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,hypothesis,
( select(a_475,i_490) = e_491
| i_490 = i2
| i_490 = i0 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,hypothesis,
( select(a_481,X1) = select(a_467,X1)
| i3 = X1
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,hypothesis,
( select(a_481,i_490) = e_492
| i_490 = i0
| i_490 = i2
| i_490 = i3 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,hypothesis,
( select(a_471,X1) = select(a_467,X1)
| i0 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,hypothesis,
( select(a_471,i_490) = e_491
| i_490 = i0
| i_490 = i3
| i_490 = i2 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,hypothesis,
( select(a_467,i_490) = e_492
| i_490 = i2
| i_490 = i0
| i_490 = i3 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,hypothesis,
( select(a_467,i_490) = e_491
| i_490 = i2
| i_490 = i3
| i_490 = i0 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
e_491 != e_492,
goal ).
cnf(c_0_77,hypothesis,
select(a_487,i0) = e_484,
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_78,hypothesis,
( i_490 = i3
| i_490 = i0
| i_490 = i2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_79,hypothesis,
( select(a_489,i0) = e_484
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_77,c_0_45]) ).
cnf(c_0_80,hypothesis,
( select(a_489,i0) = e_492
| i_490 = i2
| i_490 = i3 ),
inference(spm,[status(thm)],[c_0_55,c_0_78]) ).
cnf(c_0_81,hypothesis,
( i_490 = i2
| i_490 = i3
| i0 != i2 ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_82,hypothesis,
( i_490 = i3
| i_490 = i2
| e_492 = e_484 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_83,hypothesis,
select(a_479,i0) = e_470,
inference(spm,[status(thm)],[c_0_27,c_0_43]) ).
cnf(c_0_84,negated_conjecture,
( i_490 = i2
| i_490 = i3
| e_491 != e_484 ),
inference(spm,[status(thm)],[c_0_76,c_0_82]) ).
cnf(c_0_85,hypothesis,
( i_490 = i2
| i_490 = i3
| e_491 = e_470 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_78]),c_0_83]) ).
cnf(c_0_86,hypothesis,
select(a_480,i3) = e_470,
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_87,hypothesis,
e_484 = select(a_481,i3),
hyp22 ).
cnf(c_0_88,hypothesis,
( i_490 = i3
| i_490 = i2
| e_484 != e_470 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,hypothesis,
( i0 = i3
| e_484 = e_470 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_62]),c_0_87]) ).
cnf(c_0_90,hypothesis,
( i_490 = i2
| i_490 = i3
| i0 != i3 ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_91,hypothesis,
( i_490 = i2
| i_490 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_92,hypothesis,
select(a_483,i3) = e_482,
inference(spm,[status(thm)],[c_0_27,c_0_44]) ).
cnf(c_0_93,hypothesis,
( i_490 = i2
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_91]) ).
cnf(c_0_94,hypothesis,
( select(a_485,i3) = e_482
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_92,c_0_53]) ).
cnf(c_0_95,hypothesis,
( select(a_485,i3) = e_492
| i_490 = i2
| i0 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_91]),c_0_93]) ).
cnf(c_0_96,hypothesis,
select(a_473,i3) = e_472,
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_97,hypothesis,
( i0 = i3
| i_490 = i2
| e_492 = e_482 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_93]) ).
cnf(c_0_98,hypothesis,
( select(a_475,i3) = e_472
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_96,c_0_59]) ).
cnf(c_0_99,hypothesis,
( select(a_475,i3) = e_491
| i_490 = i2
| i0 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_91]),c_0_93]) ).
cnf(c_0_100,hypothesis,
e_482 = select(a_481,i2),
hyp21 ).
cnf(c_0_101,hypothesis,
e_472 = select(a_471,i2),
hyp17 ).
cnf(c_0_102,negated_conjecture,
( i_490 = i2
| i0 = i3
| e_491 != e_482 ),
inference(spm,[status(thm)],[c_0_76,c_0_97]) ).
cnf(c_0_103,hypothesis,
( i0 = i3
| i_490 = i2
| e_491 = e_472 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_93]) ).
cnf(c_0_104,hypothesis,
( select(a_467,i2) = e_482
| i0 = i2
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_100,c_0_70]) ).
cnf(c_0_105,hypothesis,
( select(a_467,i2) = e_472
| i3 = i2
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_101,c_0_72]) ).
cnf(c_0_106,negated_conjecture,
( i0 = i3
| i_490 = i2
| e_482 != e_472 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,hypothesis,
( i3 = i2
| i0 = i2
| e_482 = e_472 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,hypothesis,
( i0 = i2
| i_490 = i2
| i0 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_93]) ).
cnf(c_0_109,hypothesis,
select(a_489,i2) = e_488,
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_110,hypothesis,
select(a_477,i2) = e_476,
inference(spm,[status(thm)],[c_0_27,c_0_42]) ).
cnf(c_0_111,hypothesis,
( i0 = i3
| i0 = i2
| e_492 = e_488 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_108]),c_0_109]) ).
cnf(c_0_112,hypothesis,
( select(a_479,i2) = e_476
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_110,c_0_50]) ).
cnf(c_0_113,hypothesis,
( select(a_479,i2) = e_491
| i0 = i3
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_60,c_0_108]) ).
cnf(c_0_114,hypothesis,
select(a_469,i0) = e_468,
inference(spm,[status(thm)],[c_0_27,c_0_57]) ).
cnf(c_0_115,hypothesis,
e_476 = select(a_475,i0),
hyp19 ).
cnf(c_0_116,negated_conjecture,
( i0 = i2
| i0 = i3
| e_491 != e_488 ),
inference(spm,[status(thm)],[c_0_76,c_0_111]) ).
cnf(c_0_117,hypothesis,
( i0 = i3
| i0 = i2
| e_491 = e_476 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,hypothesis,
e_488 = select(a_485,i0),
hyp24 ).
cnf(c_0_119,hypothesis,
select(a_481,i0) = e_468,
inference(spm,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_120,hypothesis,
( select(a_471,i0) = e_468
| i0 = i3 ),
inference(spm,[status(thm)],[c_0_114,c_0_66]) ).
cnf(c_0_121,hypothesis,
( select(a_471,i0) = e_476
| i0 = i3
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_115,c_0_68]) ).
cnf(c_0_122,negated_conjecture,
( i0 = i3
| i0 = i2
| e_488 != e_476 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,hypothesis,
( i0 = i2
| i0 = i3
| e_488 = e_468 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_64]),c_0_119]) ).
cnf(c_0_124,hypothesis,
( i0 = i2
| i0 = i3
| e_476 = e_468 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,hypothesis,
( i0 = i2
| i0 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_126,hypothesis,
( i0 = i2
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_125]) ).
cnf(c_0_127,hypothesis,
( e_492 = e_488
| i3 != i2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_93]),c_0_109]) ).
cnf(c_0_128,hypothesis,
( select(a_479,i2) = e_491
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_60,c_0_93]) ).
cnf(c_0_129,hypothesis,
( select(a_479,i2) = e_470
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_83,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( e_491 != e_488
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_76,c_0_127]) ).
cnf(c_0_131,hypothesis,
( e_491 = e_470
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( e_488 != e_470
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_133,hypothesis,
( e_488 = e_484
| i3 != i2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_126]),c_0_29]),c_0_35]) ).
cnf(c_0_134,hypothesis,
( e_484 != e_470
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_135,hypothesis,
( i0 = i3
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_134,c_0_89]) ).
cnf(c_0_136,hypothesis,
e_470 = select(a_467,i0),
hyp16 ).
cnf(c_0_137,hypothesis,
e_468 = select(a_467,i3),
hyp15 ).
cnf(c_0_138,hypothesis,
( e_484 = e_468
| i3 != i2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_135]),c_0_87]) ).
cnf(c_0_139,hypothesis,
( e_470 = e_468
| i3 != i2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_135]),c_0_137]) ).
cnf(c_0_140,hypothesis,
( select(a_487,i3) = e_484
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_77,c_0_125]) ).
cnf(c_0_141,hypothesis,
i3 != i2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_138]),c_0_139]) ).
cnf(c_0_142,hypothesis,
( select(a_489,i3) = e_492
| i_490 = i2 ),
inference(spm,[status(thm)],[c_0_55,c_0_91]) ).
cnf(c_0_143,hypothesis,
( select(a_489,i3) = e_484
| i0 = i2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_140]),c_0_141]) ).
cnf(c_0_144,hypothesis,
( i0 = i2
| i_490 = i2
| e_492 = e_484 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_145,hypothesis,
( select(a_479,i3) = e_491
| i_490 = i2 ),
inference(spm,[status(thm)],[c_0_60,c_0_91]) ).
cnf(c_0_146,hypothesis,
( select(a_479,i3) = e_470
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_83,c_0_125]) ).
cnf(c_0_147,negated_conjecture,
( i_490 = i2
| i0 = i2
| e_491 != e_484 ),
inference(spm,[status(thm)],[c_0_76,c_0_144]) ).
cnf(c_0_148,hypothesis,
( i0 = i2
| i_490 = i2
| e_491 = e_470 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,hypothesis,
( i0 = i2
| i_490 = i2
| e_484 != e_470 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_150,hypothesis,
( i0 = i2
| e_484 = e_468 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_125]),c_0_87]) ).
cnf(c_0_151,hypothesis,
( i0 = i2
| e_470 = e_468 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_125]),c_0_137]) ).
cnf(c_0_152,hypothesis,
( i_490 = i2
| i0 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_153,hypothesis,
( i0 = i2
| e_492 = e_488 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_152]),c_0_109]) ).
cnf(c_0_154,hypothesis,
( select(a_479,i2) = e_491
| i0 = i2 ),
inference(spm,[status(thm)],[c_0_60,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( i0 = i2
| e_491 != e_488 ),
inference(spm,[status(thm)],[c_0_76,c_0_153]) ).
cnf(c_0_156,hypothesis,
( i0 = i2
| e_491 = e_476 ),
inference(spm,[status(thm)],[c_0_112,c_0_154]) ).
cnf(c_0_157,hypothesis,
select(a_485,i3) = e_482,
inference(sr,[status(thm)],[c_0_94,c_0_141]) ).
cnf(c_0_158,negated_conjecture,
( i0 = i2
| e_488 != e_476 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,hypothesis,
( i0 = i2
| e_488 = e_482 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_125]),c_0_157]) ).
cnf(c_0_160,hypothesis,
select(a_475,i3) = e_472,
inference(sr,[status(thm)],[c_0_98,c_0_141]) ).
cnf(c_0_161,hypothesis,
( i0 = i2
| e_482 != e_476 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,hypothesis,
( e_482 = e_472
| i0 = i2 ),
inference(sr,[status(thm)],[c_0_107,c_0_141]) ).
cnf(c_0_163,hypothesis,
( i0 = i2
| e_476 = e_472 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_125]),c_0_160]) ).
cnf(c_0_164,hypothesis,
i0 = i2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_165,hypothesis,
e_472 = e_468,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_164]),c_0_101]),c_0_164]),c_0_141]) ).
cnf(c_0_166,negated_conjecture,
( i_490 = i2
| e_482 != e_468 ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_164]),c_0_141]),c_0_165]) ).
cnf(c_0_167,hypothesis,
e_482 = e_468,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_164]),c_0_100]) ).
cnf(c_0_168,hypothesis,
e_484 = e_470,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_164]),c_0_141]) ).
cnf(c_0_169,negated_conjecture,
i_490 = i2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_170,hypothesis,
e_488 = e_470,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_164]),c_0_29]),c_0_35]),c_0_168]) ).
cnf(c_0_171,hypothesis,
e_492 = e_470,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_169]),c_0_109]),c_0_170]) ).
cnf(c_0_172,hypothesis,
select(a_479,i2) = e_470,
inference(rw,[status(thm)],[c_0_83,c_0_164]) ).
cnf(c_0_173,negated_conjecture,
e_491 != e_470,
inference(rw,[status(thm)],[c_0_76,c_0_171]) ).
cnf(c_0_174,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_169]),c_0_172]),c_0_173]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV537-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n013.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 : Tue Aug 29 03:25:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.009000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.012000 s
%------------------------------------------------------------------------------